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w:val="en-US"/></w:rPr><w:t>Method of determining the normal modes of toothed gears with complex geometry</w:t></w:r><w:r w:rsidR="000656DD" w:rsidRPr="00295214"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman" w:cs="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>.</w:t></w:r><w:r w:rsidR="00DE7D81" w:rsidRPr="00295214"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman" w:cs="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t xml:space="preserve"> </w:t></w:r><w:r w:rsidR="00400710" w:rsidRPr="00DE7D81"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman" w:cs="Times New Roman"/><w:i/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>Scientific Journal of Silesian University of Technology. Series Transport</w:t></w:r><w:r w:rsidR="00521347" w:rsidRPr="00DE7D81"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman" w:cs="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t xml:space="preserve">. </w:t></w:r><w:r w:rsidR="00DE7D81" w:rsidRPr="00DE7D81"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman" w:cs="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>201</w:t></w:r><w:r w:rsidR="00700DE5"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman" w:cs="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>5</w:t></w:r><w:r w:rsidR="00DE7D81" w:rsidRPr="00DE7D81"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman" w:cs="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t xml:space="preserve">, </w:t></w:r><w:r w:rsidR="00700DE5" w:rsidRPr="00700DE5"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman" w:cs="Times New Roman"/><w:b/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>8</w:t></w:r><w:r w:rsidR="00DE7D81" w:rsidRPr="00DE7D81"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman" w:cs="Times New Roman"/><w:b/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>9</w:t></w:r><w:r w:rsidR="00DE7D81" w:rsidRPr="00DE7D81"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman" w:cs="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>, 11</w:t></w:r><w:r w:rsidR="008813B1"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman" w:cs="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>9</w:t></w:r><w:r w:rsidR="00DE7D81" w:rsidRPr="00DE7D81"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman" w:cs="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>-</w:t></w:r><w:r w:rsidR="00E52132"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman" w:cs="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>12</w:t></w:r><w:r w:rsidR="00CC7174"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman" w:cs="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>7</w:t></w:r><w:r w:rsidR="00DE7D81" w:rsidRPr="00DE7D81"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman" w:cs="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>. ISSN: 0209-3324.</w:t></w:r><w:r w:rsidR="00CD6FF5"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman" w:cs="Times New Roman"/><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t xml:space="preserve"> DOI: 10.20858/sjsutst.2015.89.13.</w:t></w:r></w:p><w:p w:rsidR="00400710" w:rsidRPr="00DE7D81" w:rsidRDefault="00400710" w:rsidP="00DE7D81"><w:pPr><w:pStyle w:val="Nagwek"/><w:contextualSpacing/><w:rPr><w:lang w:val="en-US"/></w:rPr></w:pPr></w:p><w:p w:rsidR="00400710" w:rsidRPr="00DE7D81" w:rsidRDefault="00400710" w:rsidP="00DE7D81"><w:pPr><w:pStyle w:val="Nagwek"/><w:contextualSpacing/><w:rPr><w:lang w:val="en-US"/></w:rPr></w:pPr></w:p><w:p w:rsidR="002F709E" w:rsidRPr="00D52596" w:rsidRDefault="00D52596" w:rsidP="00DE7D81"><w:pPr><w:contextualSpacing/><w:rPr><w:b/><w:caps/></w:rPr></w:pPr><w:r w:rsidRPr="00D52596"><w:rPr><w:b/></w:rPr><w:t>Stanisław NOGA</w:t></w:r><w:r w:rsidRPr="00DE7D81"><w:rPr><w:rStyle w:val="Odwoanieprzypisudolnego"/><w:b/><w:caps/></w:rPr><w:footnoteReference w:id="1"/></w:r><w:r w:rsidRPr="00D52596"><w:rPr><w:b/></w:rPr><w:t xml:space="preserve">, </w:t></w:r><w:r w:rsidR="006D5519" w:rsidRPr="00D52596"><w:rPr><w:b/></w:rPr><w:t>Tadeusz MARKOWSKI</w:t></w:r><w:r w:rsidR="002F709E" w:rsidRPr="00DE7D81"><w:rPr><w:rStyle w:val="Odwoanieprzypisudolnego"/><w:b/><w:caps/></w:rPr><w:footnoteReference w:id="2"/></w:r><w:r w:rsidR="006D5519" w:rsidRPr="00D52596"><w:rPr><w:b/></w:rPr><w:t xml:space="preserve">, </w:t></w:r><w:r w:rsidRPr="00D52596"><w:rPr><w:b/></w:rPr><w:t>Roman BOGACZ</w:t></w:r><w:r w:rsidR="006D5519" w:rsidRPr="00DE7D81"><w:rPr><w:rStyle w:val="Odwoanieprzypisudolnego"/><w:b/><w:caps/></w:rPr><w:footnoteReference w:id="3"/></w:r></w:p><w:p w:rsidR="004407A8" w:rsidRPr="00D52596" w:rsidRDefault="004407A8" w:rsidP="00DE7D81"><w:pPr><w:contextualSpacing/><w:rPr><w:smallCaps/></w:rPr></w:pPr></w:p><w:p w:rsidR="004407A8" w:rsidRPr="00D52596" w:rsidRDefault="004407A8" w:rsidP="00DE7D81"><w:pPr><w:contextualSpacing/><w:rPr><w:smallCaps/></w:rPr></w:pPr></w:p><w:p w:rsidR="004407A8" w:rsidRPr="00D52596" w:rsidRDefault="004407A8" w:rsidP="00DE7D81"><w:pPr><w:contextualSpacing/><w:rPr><w:smallCaps/></w:rPr></w:pPr></w:p><w:p w:rsidR="000656DD" w:rsidRPr="00A12117" w:rsidRDefault="00F62E4B" w:rsidP="00DE7D81"><w:pPr><w:pStyle w:val="HTML-wstpniesformatowany"/><w:contextualSpacing/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman" w:cs="Times New Roman"/><w:b/><w:caps/><w:sz w:val="28"/><w:szCs w:val="28"/><w:lang w:val="en-US"/></w:rPr></w:pPr><w:r w:rsidRPr="00A12117"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman" w:cs="Times New Roman"/><w:b/><w:caps/><w:sz w:val="28"/><w:szCs w:val="28"/><w:lang w:val="en-US"/></w:rPr><w:t>METHOD OF DETERMINING THE NORMAL MODES OF TOOTHED GEARS WITH COMPLEX GEOMETRY</w:t></w:r></w:p><w:p w:rsidR="004407A8" w:rsidRPr="00DE7D81" w:rsidRDefault="004407A8" w:rsidP="00DE7D81"><w:pPr><w:contextualSpacing/><w:rPr><w:smallCaps/><w:lang w:val="en-US"/></w:rPr></w:pPr></w:p><w:p w:rsidR="00485375" w:rsidRPr="00DE7D81" w:rsidRDefault="004407A8" w:rsidP="00295214"><w:pPr><w:ind w:left="567" w:right="567" w:firstLine="142"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-US"/></w:rPr></w:pPr><w:r w:rsidRPr="00DE7D81"><w:rPr><w:b/><w:lang w:val="en-US"/></w:rPr><w:t>Summary.</w:t></w:r><w:r w:rsidRPr="00DE7D81"><w:rPr><w:lang w:val="en-US"/></w:rPr><w:t xml:space="preserve"> </w:t></w:r><w:r w:rsidR="00F62E4B" w:rsidRPr="00F62E4B"><w:rPr><w:lang w:val="en-US"/></w:rPr><w:t>This work deals with transversal vibrations of the toothed gear, which is discussed as an annular plate with a complex geometry. The procedure for determining the proper distorted normal modes of vibrations of the wheel with discontinuous geometry is discussed. The required models are created by means of the finite element method. The pre–stress effect is included by means of the</w:t></w:r><w:r w:rsidR="00F62E4B"><w:rPr><w:lang w:val="en-US"/></w:rPr><w:t> </w:t></w:r><w:r w:rsidR="00F62E4B" w:rsidRPr="00F62E4B"><w:rPr><w:lang w:val="en-US"/></w:rPr><w:t>ANSYS code. The problem of modelling utilizing cyclic symmetry of the</w:t></w:r><w:r w:rsidR="00F62E4B"><w:rPr><w:lang w:val="en-US"/></w:rPr><w:t> </w:t></w:r><w:r w:rsidR="00F62E4B" w:rsidRPr="00F62E4B"><w:rPr><w:lang w:val="en-US"/></w:rPr><w:t>system under study is discussed. It is important to note that the issues presented in this work have a practical value for design engineers dealing with the dynamics of rotating systems.</w:t></w:r></w:p><w:p w:rsidR="0010494B" w:rsidRDefault="004407A8" w:rsidP="000236B4"><w:pPr><w:ind w:left="567" w:right="567" w:firstLine="142"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-US"/></w:rPr></w:pPr><w:r w:rsidRPr="00DE7D81"><w:rPr><w:b/><w:lang w:val="en-US"/></w:rPr><w:t>Keywords:</w:t></w:r><w:r w:rsidR="00F40714" w:rsidRPr="00DE7D81"><w:rPr><w:lang w:val="en-US"/></w:rPr><w:t xml:space="preserve"> </w:t></w:r><w:r w:rsidR="00D52596"><w:rPr><w:lang w:val="en-US"/></w:rPr><w:t>n</w:t></w:r><w:r w:rsidR="00D52596" w:rsidRPr="00D52596"><w:rPr><w:lang w:val="en-US"/></w:rPr><w:t>ormal modes, toothed gears, complex geometry</w:t></w:r></w:p><w:p w:rsidR="006D5519" w:rsidRDefault="006D5519" w:rsidP="00DE7D81"><w:pPr><w:ind w:left="709" w:right="567"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-US"/></w:rPr></w:pPr></w:p><w:p w:rsidR="006D5519" w:rsidRDefault="006D5519" w:rsidP="00DE7D81"><w:pPr><w:ind w:left="709" w:right="567"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-US"/></w:rPr></w:pPr></w:p><w:p w:rsidR="006D5519" w:rsidRDefault="006D5519" w:rsidP="00DE7D81"><w:pPr><w:ind w:left="709" w:right="567"/><w:contextualSpacing/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-US"/></w:rPr></w:pPr></w:p><w:p w:rsidR="006D5519" w:rsidRPr="00A12117" w:rsidRDefault="00F62E4B" w:rsidP="006D5519"><w:pPr><w:pStyle w:val="HTML-wstpniesformatowany"/><w:contextualSpacing/><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman" w:cs="Times New Roman"/><w:b/><w:caps/><w:sz w:val="28"/><w:szCs w:val="28"/></w:rPr></w:pPr><w:r w:rsidRPr="00A12117"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman" w:cs="Times New Roman"/><w:b/><w:caps/><w:sz w:val="28"/><w:szCs w:val="28"/></w:rPr><w:t>METODA OZNACZANIA FORM WŁASNYCH KÓŁ ZĘBATYCH O</w:t></w:r><w:r w:rsidR="00A12117"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman" w:cs="Times New Roman"/><w:b/><w:caps/><w:sz w:val="28"/><w:szCs w:val="28"/></w:rPr><w:t> </w:t></w:r><w:r w:rsidRPr="00A12117"><w:rPr><w:rFonts w:ascii="Times New Roman" w:hAnsi="Times New Roman" w:cs="Times New Roman"/><w:b/><w:caps/><w:sz w:val="28"/><w:szCs w:val="28"/></w:rPr><w:t>ZŁOŻONYM KSZTAŁCIE</w:t></w:r></w:p><w:p w:rsidR="006D5519" w:rsidRPr="006D5519" w:rsidRDefault="006D5519" w:rsidP="006D5519"><w:pPr><w:contextualSpacing/><w:rPr><w:smallCaps/></w:rPr></w:pPr></w:p><w:p w:rsidR="006D5519" w:rsidRPr="006D5519" w:rsidRDefault="006D5519" w:rsidP="006D5519"><w:pPr><w:ind w:left="567" w:right="567" w:firstLine="142"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr><w:r w:rsidRPr="006D5519"><w:rPr><w:b/></w:rPr><w:t>Streszczenie.</w:t></w:r><w:r w:rsidRPr="006D5519"><w:t xml:space="preserve"> </w:t></w:r><w:r w:rsidR="00F62E4B" w:rsidRPr="00F62E4B"><w:t xml:space="preserve">W pracy analizowane są drgania poprzeczne koła zębatego, rozważanego jako płyta pierścieniowa o złożonym kształcie. Omówiono procedurę oznaczania postaci drgań własnych koła, ulegających deformacji </w:t></w:r><w:r w:rsidR="00F62E4B" w:rsidRPr="00F62E4B"><w:lastRenderedPageBreak/><w:t>z</w:t></w:r><w:r w:rsidR="00F62E4B"><w:t> </w:t></w:r><w:r w:rsidR="00F62E4B" w:rsidRPr="00F62E4B"><w:t>powodu zaburzonej geometrii układu. Wymagane do analizy modele obliczeniowe opracowano z wykorzystaniem metody elementów skończonych. W</w:t></w:r><w:r w:rsidR="00F62E4B"><w:t> </w:t></w:r><w:r w:rsidR="00F62E4B" w:rsidRPr="00F62E4B"><w:t>obliczeniach uwzględniono wpływ prędkości kątowej koła na wartości częstości drgań własnych. Omówiono także zagadnienia związane z</w:t></w:r><w:r w:rsidR="00F62E4B"><w:t> </w:t></w:r><w:r w:rsidR="00F62E4B" w:rsidRPr="00F62E4B"><w:t>uwzględnieniem własności cyklicznej symetrii układu. Obliczenia numeryczne wykonano w</w:t></w:r><w:r w:rsidR="00F62E4B"><w:t> </w:t></w:r><w:r w:rsidR="00F62E4B" w:rsidRPr="00F62E4B"><w:t>programie ANSYS. Prezentowane zagadnienia mogą być pomocne inżynierom, zajmującym się zagadnieniami wirujących układów mechanicznych.</w:t></w:r></w:p><w:p w:rsidR="006D5519" w:rsidRPr="000236B4" w:rsidRDefault="006D5519" w:rsidP="000236B4"><w:pPr><w:ind w:left="567" w:right="567" w:firstLine="142"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr><w:r w:rsidRPr="000236B4"><w:rPr><w:b/></w:rPr><w:t>Słowa kluczowe:</w:t></w:r><w:r w:rsidRPr="000236B4"><w:t xml:space="preserve"> </w:t></w:r><w:r w:rsidR="00D52596"><w:t>f</w:t></w:r><w:r w:rsidR="00D52596" w:rsidRPr="00D52596"><w:t>ormy własne, koła zębate, złożony kształt</w:t></w:r></w:p><w:p w:rsidR="006D5519" w:rsidRPr="000236B4" w:rsidRDefault="006D5519" w:rsidP="006D5519"><w:pPr><w:ind w:right="567"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr></w:p><w:p w:rsidR="006D5519" w:rsidRDefault="006D5519" w:rsidP="006D5519"><w:pPr><w:ind w:right="567"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr></w:p><w:p w:rsidR="00B776D2" w:rsidRPr="00B776D2" w:rsidRDefault="00B776D2" w:rsidP="00B776D2"><w:pPr><w:pStyle w:val="Rozdzia"/><w:tabs><w:tab w:val="clear" w:pos="360"/></w:tabs><w:spacing w:before="0" w:after="0"/><w:contextualSpacing/><w:rPr><w:b/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00B776D2"><w:rPr><w:b/><w:szCs w:val="24"/></w:rPr><w:t>WPROWADZENIE</w:t></w:r></w:p><w:p w:rsidR="00B776D2" w:rsidRPr="00B776D2" w:rsidRDefault="00B776D2" w:rsidP="00B776D2"><w:pPr><w:pStyle w:val="Rozdzia"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="0"/></w:numPr><w:spacing w:before="0" w:after="0"/><w:contextualSpacing/><w:rPr><w:szCs w:val="24"/></w:rPr></w:pPr></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr><w:r w:rsidRPr="00C662EB"><w:t>Zagadnienia drgań poprzecznych płyt kołowych i pierścieniowych są przedmiotem zainteresowania szerokiego kręgu badaczy oraz ośrodków badawczo–rozwojowych [1, 3</w:t></w:r><w:r w:rsidR="00E76E09"><w:t>-</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t>8]. Wynika to z faktu, że niektóre obracające lub toczące się elementy maszyn (np. koła zębate, koła kolejowe) mogą być traktowane jako płyty kołowe lub pierścieniowe, o geometrii wynikającej z konstrukcji wymienionych układów [1, 7]. Częste przypadki uszkodzeń wirujących zespołów wynikają z pojawiających się w czasie pracy dodatkowych obciążeń dynamicznych, będących skutkiem drgań. Z tego też względu na etapie projektowania</w:t></w:r><w:r w:rsidR="00E76E09"><w:t xml:space="preserve"> </w:t></w:r><w:r w:rsidR="00E76E09" w:rsidRPr="00C662EB"><w:t>ważn</w:t></w:r><w:r w:rsidR="00E76E09"><w:t>e</w:t></w:r><w:r w:rsidR="00E76E09" w:rsidRPr="00C662EB"><w:t xml:space="preserve"> jest</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve"> ustalenie przedziału wartości częstości własnych wirujących zespołów. Badania drgań poprzecznych płyt kołowych zapoczątkował Ernst Chladni, opracowując metodę (tzw. metoda smyczkowa) wyznaczania linii węzłowych swobodnych płyt kołowych i</w:t></w:r><w:r><w:t> </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t>kwadratowych [8]. Zagadnienia drgań poprzecznych kół zębatych, modelowanych płytami pierścieniowymi z uwzględnieniem wirowania, rozważano w pracach [1, 3</w:t></w:r><w:r w:rsidR="00E76E09"><w:t>-</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t>7]. W rozdziale monografii [2] omówiono między innymi drgania stoisk do badań doświadczalnych w</w:t></w:r><w:r><w:t> </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t>warunkach pracy, kół zębatych wysokoobrotowych przekładni lotniczych.</w:t></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr><w:r w:rsidRPr="00C662EB"><w:t>W niniejszym artykule rozważania dotyczą w głównej mierze omówienia procedury oznaczania postaci drgań własnych poprzecznych koła zębatego, ulegających deformacji z</w:t></w:r><w:r><w:t> </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t>powodu nieciągłej geometrii układu. W rozważaniach uwzględnione zostaną zjawiska wynikające z ruchu obrotowego koła z zadaną prędkością kątową. W procesie modelowania wykorzystano własności cyklicznej symetrii układu. W pewnym zakresie zagadnienia identyfikacji zdeformowanych postaci drgań własnych kół o złożonej geometrii omówiono w</w:t></w:r><w:r><w:t> </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t>pracach [1, 3, 5]. Referat jest kontynuacją prac Autorów, dotyczących drgań poprzecznych kół zębatych przekładni lotniczych.</w:t></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:contextualSpacing/><w:jc w:val="both"/></w:pPr></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:contextualSpacing/><w:jc w:val="both"/></w:pPr></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Rozdzia"/><w:tabs><w:tab w:val="clear" w:pos="360"/></w:tabs><w:spacing w:before="0" w:after="0"/><w:contextualSpacing/><w:rPr><w:b/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:b/><w:szCs w:val="24"/></w:rPr><w:t>Sformułowanie Problemu</w:t></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:contextualSpacing/><w:jc w:val="both"/></w:pPr></w:p><w:p w:rsidR="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr><w:r w:rsidRPr="00C662EB"><w:t>Zasadniczym celem pracy jest omówienie działania procedury identyfikacji postaci drgań własnych poprzecznych wybranego koła zębatego, modelowanego płytą pierścieniową z</w:t></w:r><w:r><w:t> </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t>otworami przelotowymi. Rozważania prowadzi się dla koła zębatego pokazanego na rysunku 1a. Takie rozwiązanie jest często stosowane w wysokoobrotowych przekładniach zębatych wykorzystywanych w układach lotniczych. Do dalszej analizy przyjmuje się modele uproszczone koła (rys. 1b–c), w których pomija się geometrię zębów. Sposoby tworzenia uproszczonych modeli kół zębatych omówiono szerzej w pracy [7]. Zaproponowane uproszczenie pozwoli w dalszych rozważaniach uwzględnić własności cyklicznej symetrii układu (rys. 1c). 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w:id="10"/><w:bookmarkEnd w:id="11"/><w:bookmarkEnd w:id="12"/><w:bookmarkEnd w:id="13"/><w:bookmarkEnd w:id="14"/><w:bookmarkEnd w:id="15"/><w:bookmarkEnd w:id="16"/><w:bookmarkEnd w:id="17"/><w:bookmarkEnd w:id="18"/><w:bookmarkEnd w:id="19"/><w:bookmarkEnd w:id="20"/><w:bookmarkEnd w:id="21"/><w:bookmarkEnd w:id="22"/><w:bookmarkEnd w:id="23"/><w:bookmarkEnd w:id="24"/><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:object w:dxaOrig="3969" w:dyaOrig="2880"><v:shape id="_x0000_i1027" type="#_x0000_t75" style="width:180.45pt;height:132.45pt" o:ole="" filled="t"><v:fill color2="black"/><v:imagedata r:id="rId15" o:title=""/></v:shape><o:OLEObject Type="Embed" ProgID="Word.Picture.8" ShapeID="_x0000_i1027" DrawAspect="Content" ObjectID="_1532528240" r:id="rId16"/></w:object></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Rysunekopispopolsku"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="0"/></w:numPr><w:tabs><w:tab w:val="clear" w:pos="737"/></w:tabs><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Rysunekopispopolsku"/><w:tabs><w:tab w:val="clear" w:pos="737"/></w:tabs><w:ind w:left="0" w:firstLine="0"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>Modele geometryczne: (a) model koła zębatego, (b) model uproszczony pełny, (c) model uproszczony z cykliczną symetrią</w:t></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Rysunekopispoangielsku"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="0"/></w:numPr><w:tabs><w:tab w:val="left" w:pos="624"/></w:tabs><w:spacing w:after="0"/><w:ind w:left="1021"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="pl-PL"/></w:rPr></w:pPr></w:p><w:p w:rsidR="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve">Wymiary geometryczne przyjętego do analizy układu (średnice: </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>d</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/></w:rPr><w:t>z</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve">, </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>d</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/></w:rPr><w:t>0</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve">, </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>d</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/></w:rPr><w:t>p</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve">, </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>d</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/></w:rPr><w:t>k</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve">, </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>d</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/></w:rPr><w:t>w1</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve">, </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>d</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/></w:rPr><w:t>w2</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve">; grubości: </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>h</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/></w:rPr><w:t>p</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve">, </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>h</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/></w:rPr><w:t>z</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve">, </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>h</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/></w:rPr><w:t>b</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve">, </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>h</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/></w:rPr><w:t>s</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve">; długości: </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>l</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/></w:rPr><w:t>b</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve">, </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>l</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/></w:rPr><w:t>c</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve">, </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>l</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/></w:rPr><w:t>d</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve">, </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>l</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/></w:rPr><w:t>s</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve">, </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>l</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/></w:rPr><w:t>w</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t>) zdefiniowano</w:t></w:r><w:r w:rsidR="006B2F70"><w:t>,</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve"> jak pokazano na rysunku 1b–c. Rozważany układ składa się z płyty pierścieniowej z wieńcem, osadzonej na drążonym stopniowanym wale. Płyta </w:t></w:r><w:r w:rsidR="006B2F70"><w:t xml:space="preserve">ma </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t>nieciągłości geometryczne w postaci przelotowych otworów, umiejscowionych na zadanym promieniu (rys. 1a</w:t></w:r><w:r w:rsidR="006B2F70"><w:t>-</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve">b). Zagadnienie drgań własnych omawianego układu rozwiązano metodą elementów skończonych. Ze względu na symetrię kołową układu dla każdego rozwiązania, dla którego linie węzłowe tworzą średnice węzłowe, otrzymuje się dwa identyczne układy prostych węzłowych, obróconych względem siebie o kąt </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>α</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t> = </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>π</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t>/(</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>2n</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve">), przy czym </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>n</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve"> to liczba średnic węzłowych.</w:t></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr></w:p><w:tbl><w:tblPr><w:tblW w:w="9072" w:type="dxa"/><w:jc w:val="center"/><w:tblLayout w:type="fixed"/><w:tblCellMar><w:left w:w="70" w:type="dxa"/><w:right w:w="70" w:type="dxa"/></w:tblCellMar><w:tblLook w:val="0000" w:firstRow="0" w:lastRow="0" w:firstColumn="0" w:lastColumn="0" w:noHBand="0" w:noVBand="0"/></w:tblPr><w:tblGrid><w:gridCol w:w="70"/><w:gridCol w:w="1005"/><w:gridCol w:w="1005"/><w:gridCol w:w="1005"/><w:gridCol w:w="1005"/><w:gridCol w:w="1005"/><w:gridCol w:w="1005"/><w:gridCol w:w="1005"/><w:gridCol w:w="1005"/><w:gridCol w:w="893"/><w:gridCol w:w="69"/></w:tblGrid><w:tr w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidTr="00A12117"><w:tblPrEx><w:tblCellMar><w:top w:w="0" w:type="dxa"/><w:bottom w:w="0" w:type="dxa"/></w:tblCellMar></w:tblPrEx><w:trPr><w:gridAfter w:val="1"/><w:wAfter w:w="69" w:type="dxa"/><w:jc w:val="center"/></w:trPr><w:tc><w:tcPr><w:tcW w:w="9003" w:type="dxa"/><w:gridSpan w:val="10"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tablicanumeracja"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:rFonts w:cs="Times New Roman"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:rFonts w:cs="Times New Roman"/><w:snapToGrid w:val="0"/></w:rPr><w:br w:type="page"/></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:rFonts w:cs="Times New Roman"/><w:snapToGrid w:val="0"/></w:rPr><w:br w:type="page"/></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:rFonts w:cs="Times New Roman"/><w:snapToGrid w:val="0"/></w:rPr><w:br w:type="page"/></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:rFonts w:cs="Times New Roman"/><w:snapToGrid w:val="0"/></w:rPr><w:br w:type="page"/></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:rFonts w:cs="Times New Roman"/><w:snapToGrid w:val="0"/></w:rPr><w:br w:type="page"/></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:rFonts w:cs="Times New Roman"/></w:rPr><w:br w:type="page"/><w:t>Tablica 1</w:t></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00A12117"><w:pPr><w:pStyle w:val="Tablicatytu"/><w:spacing w:after="0"/><w:contextualSpacing/><w:rPr><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:szCs w:val="24"/></w:rPr><w:t>Dane konstrukcyjne analizowanego układu</w:t></w:r></w:p></w:tc></w:tr><w:tr w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidTr="00A12117"><w:tblPrEx><w:tblCellMar><w:top w:w="0" w:type="dxa"/><w:bottom w:w="0" w:type="dxa"/></w:tblCellMar></w:tblPrEx><w:trPr><w:gridBefore w:val="1"/><w:wBefore w:w="70" w:type="dxa"/><w:jc w:val="center"/></w:trPr><w:tc><w:tcPr><w:tcW w:w="1005" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>d</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/></w:rPr><w:t>z</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t xml:space="preserve">  </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t>[mm]</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1005" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>d</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/></w:rPr><w:t>p</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t xml:space="preserve"> </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t>[mm]</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1005" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>d</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/></w:rPr><w:t>k</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t xml:space="preserve">  </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t>[mm]</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1005" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>d</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/></w:rPr><w:t>w1</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t xml:space="preserve"> </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t>[mm]</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1005" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>d</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/></w:rPr><w:t>w2</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t xml:space="preserve"> </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t>[mm]</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1005" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>d</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/></w:rPr><w:t>0</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t xml:space="preserve">  </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t>[mm]</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1005" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="de-DE"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:lang w:val="de-DE"/></w:rPr><w:t>h</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/><w:lang w:val="de-DE"/></w:rPr><w:t>z</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:lang w:val="de-DE"/></w:rPr><w:t xml:space="preserve">  </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:lang w:val="de-DE"/></w:rPr><w:t>[mm]</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1005" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="de-DE"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:lang w:val="de-DE"/></w:rPr><w:t>h</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/><w:lang w:val="de-DE"/></w:rPr><w:t>p</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:lang w:val="de-DE"/></w:rPr><w:t xml:space="preserve">  </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:lang w:val="de-DE"/></w:rPr><w:t>[mm]</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="962" w:type="dxa"/><w:gridSpan w:val="2"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="a"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="de-DE"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:lang w:val="de-DE"/></w:rPr><w:t>h</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/><w:lang w:val="de-DE"/></w:rPr><w:t>b</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:lang w:val="de-DE"/></w:rPr><w:t xml:space="preserve">  </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:lang w:val="de-DE"/></w:rPr><w:t>[mm]</w:t></w:r></w:p></w:tc></w:tr><w:tr w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidTr="00A12117"><w:tblPrEx><w:tblCellMar><w:top w:w="0" w:type="dxa"/><w:bottom w:w="0" w:type="dxa"/></w:tblCellMar></w:tblPrEx><w:trPr><w:gridBefore w:val="1"/><w:wBefore w:w="70" w:type="dxa"/><w:jc w:val="center"/></w:trPr><w:tc><w:tcPr><w:tcW w:w="1005" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="de-AT"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:lang w:val="de-AT"/></w:rPr><w:t>110</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1005" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="de-AT"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:lang w:val="de-AT"/></w:rPr><w:t>98</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1005" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="de-AT"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:lang w:val="de-AT"/></w:rPr><w:t>62.7</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1005" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="de-AT"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:lang w:val="de-AT"/></w:rPr><w:t>26.7</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1005" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="de-AT"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:lang w:val="de-AT"/></w:rPr><w:t>18.8</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1005" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="de-AT"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:lang w:val="de-AT"/></w:rPr><w:t>22.4</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1005" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="de-AT"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:lang w:val="de-AT"/></w:rPr><w:t>7</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1005" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="de-AT"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:lang w:val="de-AT"/></w:rPr><w:t>2.3</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="962" w:type="dxa"/><w:gridSpan w:val="2"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="a"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="de-AT"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:lang w:val="de-AT"/></w:rPr><w:t>2.6</w:t></w:r></w:p></w:tc></w:tr><w:tr w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidTr="00A12117"><w:tblPrEx><w:tblCellMar><w:top w:w="0" 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w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/><w:lang w:val="de-DE"/></w:rPr><w:t>s</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:lang w:val="de-DE"/></w:rPr><w:t xml:space="preserve">  </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:lang w:val="de-DE"/></w:rPr><w:t>[mm]</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1005" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="de-AT"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:lang w:val="de-DE"/></w:rPr><w:t>l</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/><w:lang w:val="de-DE"/></w:rPr><w:t>b</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:lang w:val="de-DE"/></w:rPr><w:t xml:space="preserve">  </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:lang w:val="de-DE"/></w:rPr><w:t>[mm]</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1005" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="de-AT"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:lang w:val="de-AT"/></w:rPr><w:t>l</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/><w:lang w:val="de-AT"/></w:rPr><w:t>c</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:lang w:val="de-AT"/></w:rPr><w:t xml:space="preserve">  </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:lang w:val="de-AT"/></w:rPr><w:t>[mm]</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1005" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:lang w:val="en-GB"/></w:rPr><w:t>l</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/><w:lang w:val="en-GB"/></w:rPr><w:t>d</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">  </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>[mm]</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1005" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:lang w:val="en-GB"/></w:rPr><w:t>l</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/><w:lang w:val="en-GB"/></w:rPr><w:t>s</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>[mm]</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1005" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="de-AT"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:lang w:val="de-AT"/></w:rPr><w:t>l</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/><w:lang w:val="de-AT"/></w:rPr><w:t>w</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:lang w:val="de-AT"/></w:rPr><w:t xml:space="preserve"> </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:lang w:val="de-AT"/></w:rPr><w:t>[mm]</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1005" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="de-AT"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:lang w:val="de-DE"/></w:rPr><w:t></w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1005" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="de-AT"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:lang w:val="de-DE"/></w:rPr><w:t xml:space="preserve">E  </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:lang w:val="de-DE"/></w:rPr><w:t>[MPa]</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="962" w:type="dxa"/><w:gridSpan w:val="2"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="a"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="de-AT"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t></w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:lang w:val="de-AT"/></w:rPr><w:t xml:space="preserve">  [kg/m</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:vertAlign w:val="superscript"/><w:lang w:val="de-AT"/></w:rPr><w:t>3</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:lang w:val="de-AT"/></w:rPr><w:t>]</w:t></w:r></w:p></w:tc></w:tr><w:tr w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidTr="00A12117"><w:tblPrEx><w:tblCellMar><w:top w:w="0" w:type="dxa"/><w:bottom w:w="0" w:type="dxa"/></w:tblCellMar></w:tblPrEx><w:trPr><w:gridBefore w:val="1"/><w:wBefore w:w="70" w:type="dxa"/><w:jc w:val="center"/></w:trPr><w:tc><w:tcPr><w:tcW w:w="1005" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="de-AT"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:lang w:val="de-AT"/></w:rPr><w:t>1.8</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1005" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="de-AT"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:lang w:val="de-AT"/></w:rPr><w:t>14.9</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1005" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="de-AT"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:lang w:val="de-AT"/></w:rPr><w:t>66.7</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1005" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="de-AT"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:lang w:val="de-AT"/></w:rPr><w:t>31.4</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1005" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="de-AT"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:lang w:val="de-AT"/></w:rPr><w:t>12.7</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1005" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="de-AT"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:lang w:val="de-AT"/></w:rPr><w:t>8.9</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1005" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="de-AT"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:lang w:val="de-AT"/></w:rPr><w:t>0.3</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1005" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:lang w:val="de-AT"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:lang w:val="de-AT"/></w:rPr><w:t>2.08·10</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:vertAlign w:val="superscript"/><w:lang w:val="de-AT"/></w:rPr><w:t>5</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="962" w:type="dxa"/><w:gridSpan w:val="2"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="a"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:vertAlign w:val="superscript"/><w:lang w:val="de-AT"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:lang w:val="de-AT"/></w:rPr><w:t>7.83·10</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:vertAlign w:val="superscript"/><w:lang w:val="de-AT"/></w:rPr><w:t>3</w:t></w:r></w:p></w:tc></w:tr><w:tr w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidTr="00A12117"><w:tblPrEx><w:tblCellMar><w:top w:w="0" w:type="dxa"/><w:bottom w:w="0" w:type="dxa"/></w:tblCellMar></w:tblPrEx><w:trPr><w:gridAfter w:val="1"/><w:wAfter w:w="69" w:type="dxa"/><w:trHeight w:val="257"/><w:jc w:val="center"/></w:trPr><w:tc><w:tcPr><w:tcW w:w="9003" w:type="dxa"/><w:gridSpan w:val="10"/><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tablicardo"/><w:spacing w:after="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/></w:pPr></w:p></w:tc></w:tr></w:tbl><w:p w:rsidR="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve">Zgodnie z przyjętymi standardami w teorii płyt kołowych i pierścieniowych, w niniejszej pracy, częstości własne oznaczono przez </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>ω</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/></w:rPr><w:t>mn</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve">, gdzie </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>m</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve"> to liczba okręgów węzłowych, a </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>n</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve"> to wspomniana wcześniej liczba średnic węzłowych. Ze względu na złożony kształt koła postacie giętne układu ulegają znacznej deformacji w porównaniu do układu pozbawionego otworów, co powoduje, że w odniesieniu do niektórych rezultatów trudno jest jednoznacznie określić</w:t></w:r><w:r w:rsidR="006B2F70"><w:t>,</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve"> jakiej formy własnej dotyczą. Problem się dodatkowo komplikuje, jeżeli zmianie ulega prędkość kątowa koła. Do identyfikacji postaci wykorzystano procedurę oznaczania </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:lastRenderedPageBreak/><w:t>form drgań giętnych, pozwalającą ustalić odpowiedniość między formami drgań koła z pełną tarczą i koła z otworami przelotowymi w tarczy. 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w:id="39"/><w:bookmarkEnd w:id="40"/><w:bookmarkEnd w:id="41"/><w:bookmarkEnd w:id="42"/><w:bookmarkEnd w:id="43"/><w:bookmarkEnd w:id="44"/><w:bookmarkEnd w:id="45"/><w:bookmarkEnd w:id="46"/><w:bookmarkEnd w:id="47"/><w:bookmarkEnd w:id="48"/><w:bookmarkEnd w:id="49"/><w:bookmarkEnd w:id="50"/><w:bookmarkEnd w:id="51"/><w:bookmarkEnd w:id="52"/><w:bookmarkEnd w:id="53"/><w:bookmarkEnd w:id="54"/><w:bookmarkEnd w:id="55"/><w:bookmarkEnd w:id="56"/><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:object w:dxaOrig="4394" w:dyaOrig="2164"><v:shape id="_x0000_i1028" type="#_x0000_t75" style="width:253.35pt;height:125.35pt" o:ole=""><v:imagedata r:id="rId17" o:title=""/></v:shape><o:OLEObject Type="Embed" ProgID="Word.Picture.8" ShapeID="_x0000_i1028" DrawAspect="Content" ObjectID="_1532528241" r:id="rId18"/></w:object></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Rysunek"/><w:spacing w:before="0" w:after="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Rysunekopispopolsku"/><w:tabs><w:tab w:val="clear" w:pos="737"/></w:tabs><w:ind w:left="0" w:firstLine="0"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>Warunki brzegowe (a) i model pomocniczy (b)</w:t></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Rysunekopispoangielsku"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="0"/></w:numPr><w:tabs><w:tab w:val="left" w:pos="624"/></w:tabs><w:spacing w:after="0"/><w:ind w:left="737" w:hanging="737"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="pl-PL"/></w:rPr></w:pPr></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr><w:r w:rsidRPr="00C662EB"><w:t>Parametry geometryczne modelu pomocniczego przyjęto z geometrii analizowanego koła (rys. 1b</w:t></w:r><w:r w:rsidR="006B2F70"><w:t>-</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve">c). Istotne będą w tym przypadku: średnica zewnętrzna </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>d</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/></w:rPr><w:t>z</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve">, średnica pod wieńcem </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>d</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/></w:rPr><w:t>p</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve">, średnica wewnętrzna </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>d</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/></w:rPr><w:t>w2</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve">, grubość </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>h</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/></w:rPr><w:t>p</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve"> oraz </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>h</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/></w:rPr><w:t>z</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve"> (tab</w:t></w:r><w:r w:rsidR="006B2F70"><w:t>l</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve">. 1). W dalszej kolejności prowadzi się analizę dynamiczną dla przypadków modeli pomocniczych, obracających się z zadaną prędkością kątową, w których wartość średnicy otworów przelotowych </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>d</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/></w:rPr><w:t>01</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve"> (rys. 2b) zmienia się zgodnie z tablicą 2. Otrzymane rezultaty porównuje się jakościowo i ilościowo.</w:t></w:r></w:p><w:p w:rsidR="008813B1" w:rsidRPr="00C662EB" w:rsidRDefault="008813B1" w:rsidP="008813B1"><w:pPr><w:pStyle w:val="Tablicanumeracja"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:rFonts w:cs="Times New Roman"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:rFonts w:cs="Times New Roman"/></w:rPr><w:t>Tablica 2</w:t></w:r></w:p><w:p w:rsidR="008813B1" w:rsidRDefault="008813B1" w:rsidP="008813B1"><w:pPr><w:jc w:val="center"/></w:pPr><w:r w:rsidRPr="00C662EB"><w:t>Średnice otworów modelu pomocniczego</w:t></w:r></w:p><w:tbl><w:tblPr><w:tblW w:w="0" w:type="auto"/><w:jc w:val="center"/><w:tblBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:insideH w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:insideV w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tblBorders><w:tblLook w:val="04A0" w:firstRow="1" w:lastRow="0" w:firstColumn="1" w:lastColumn="0" w:noHBand="0" w:noVBand="1"/></w:tblPr><w:tblGrid><w:gridCol w:w="1006"/><w:gridCol w:w="1007"/><w:gridCol w:w="1007"/><w:gridCol w:w="1007"/><w:gridCol w:w="1007"/><w:gridCol w:w="1007"/><w:gridCol w:w="1007"/><w:gridCol w:w="1007"/><w:gridCol w:w="1007"/></w:tblGrid><w:tr w:rsidR="008813B1" w:rsidTr="0025564B"><w:trPr><w:jc w:val="center"/></w:trPr><w:tc><w:tcPr><w:tcW w:w="1006" w:type="dxa"/><w:vMerge w:val="restart"/><w:shd w:val="clear" w:color="auto" w:fill="auto"/></w:tcPr><w:p w:rsidR="008813B1" w:rsidRDefault="008813B1" w:rsidP="0025564B"/></w:tc><w:tc><w:tcPr><w:tcW w:w="8056" w:type="dxa"/><w:gridSpan w:val="8"/><w:shd w:val="clear" w:color="auto" w:fill="auto"/></w:tcPr><w:p w:rsidR="008813B1" w:rsidRDefault="008813B1" w:rsidP="0025564B"><w:pPr><w:jc w:val="center"/></w:pPr><w:r w:rsidRPr="00C662EB"><w:t>Model pomocniczy</w:t></w:r></w:p></w:tc></w:tr><w:tr w:rsidR="008813B1" w:rsidTr="0025564B"><w:trPr><w:jc w:val="center"/></w:trPr><w:tc><w:tcPr><w:tcW w:w="1006" w:type="dxa"/><w:vMerge/><w:shd w:val="clear" w:color="auto" w:fill="auto"/></w:tcPr><w:p w:rsidR="008813B1" w:rsidRDefault="008813B1" w:rsidP="0025564B"/></w:tc><w:tc><w:tcPr><w:tcW w:w="1007" w:type="dxa"/><w:shd w:val="clear" w:color="auto" w:fill="auto"/><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="008813B1" w:rsidRPr="00C662EB" w:rsidRDefault="008813B1" w:rsidP="0025564B"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/></w:pPr><w:r w:rsidRPr="00C662EB"><w:t>1</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1007" w:type="dxa"/><w:shd w:val="clear" w:color="auto" w:fill="auto"/><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="008813B1" w:rsidRPr="00C662EB" w:rsidRDefault="008813B1" w:rsidP="0025564B"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/></w:pPr><w:r w:rsidRPr="00C662EB"><w:t>2</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1007" w:type="dxa"/><w:shd w:val="clear" w:color="auto" w:fill="auto"/><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="008813B1" w:rsidRPr="00C662EB" w:rsidRDefault="008813B1" w:rsidP="0025564B"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/></w:pPr><w:r w:rsidRPr="00C662EB"><w:t>3</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1007" w:type="dxa"/><w:shd w:val="clear" w:color="auto" w:fill="auto"/><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="008813B1" w:rsidRPr="00C662EB" w:rsidRDefault="008813B1" w:rsidP="0025564B"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/></w:pPr><w:r w:rsidRPr="00C662EB"><w:t>4</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1007" w:type="dxa"/><w:shd w:val="clear" w:color="auto" w:fill="auto"/><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="008813B1" w:rsidRPr="00C662EB" w:rsidRDefault="008813B1" w:rsidP="0025564B"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/></w:pPr><w:r w:rsidRPr="00C662EB"><w:t>5</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1007" w:type="dxa"/><w:shd w:val="clear" w:color="auto" w:fill="auto"/><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="008813B1" w:rsidRPr="00C662EB" w:rsidRDefault="008813B1" w:rsidP="0025564B"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/></w:pPr><w:r w:rsidRPr="00C662EB"><w:t>6</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1007" w:type="dxa"/><w:shd w:val="clear" w:color="auto" w:fill="auto"/><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="008813B1" w:rsidRPr="00C662EB" w:rsidRDefault="008813B1" w:rsidP="0025564B"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/></w:pPr><w:r w:rsidRPr="00C662EB"><w:t>7</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1007" w:type="dxa"/><w:shd w:val="clear" w:color="auto" w:fill="auto"/><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="008813B1" w:rsidRPr="00C662EB" w:rsidRDefault="008813B1" w:rsidP="0025564B"><w:pPr><w:pStyle w:val="a"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/></w:pPr><w:r w:rsidRPr="00C662EB"><w:t>8</w:t></w:r></w:p></w:tc></w:tr><w:tr w:rsidR="008813B1" w:rsidTr="0025564B"><w:trPr><w:jc w:val="center"/></w:trPr><w:tc><w:tcPr><w:tcW w:w="1006" w:type="dxa"/><w:shd w:val="clear" w:color="auto" w:fill="auto"/><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="008813B1" w:rsidRPr="00C662EB" w:rsidRDefault="008813B1" w:rsidP="0025564B"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/></w:pPr><w:r w:rsidRPr="0025564B"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>d</w:t></w:r><w:r w:rsidRPr="0025564B"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/></w:rPr><w:t>01</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve"> [mm]</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1007" w:type="dxa"/><w:shd w:val="clear" w:color="auto" w:fill="auto"/><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="008813B1" w:rsidRPr="00C662EB" w:rsidRDefault="008813B1" w:rsidP="0025564B"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/></w:pPr><w:r w:rsidRPr="00C662EB"><w:t>5</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1007" w:type="dxa"/><w:shd w:val="clear" w:color="auto" w:fill="auto"/><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="008813B1" w:rsidRPr="00C662EB" w:rsidRDefault="008813B1" w:rsidP="0025564B"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/></w:pPr><w:r w:rsidRPr="00C662EB"><w:t>6.72</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1007" w:type="dxa"/><w:shd w:val="clear" w:color="auto" w:fill="auto"/><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="008813B1" w:rsidRPr="00C662EB" w:rsidRDefault="008813B1" w:rsidP="0025564B"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/></w:pPr><w:r w:rsidRPr="00C662EB"><w:t>7</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1007" w:type="dxa"/><w:shd w:val="clear" w:color="auto" w:fill="auto"/><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="008813B1" w:rsidRPr="00C662EB" w:rsidRDefault="008813B1" w:rsidP="0025564B"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/></w:pPr><w:r w:rsidRPr="00C662EB"><w:t>7.28</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1007" w:type="dxa"/><w:shd w:val="clear" w:color="auto" w:fill="auto"/><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="008813B1" w:rsidRPr="00C662EB" w:rsidRDefault="008813B1" w:rsidP="0025564B"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/></w:pPr><w:r w:rsidRPr="00C662EB"><w:t>8.4</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1007" w:type="dxa"/><w:shd w:val="clear" w:color="auto" w:fill="auto"/><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="008813B1" w:rsidRPr="00C662EB" w:rsidRDefault="008813B1" w:rsidP="0025564B"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/></w:pPr><w:r w:rsidRPr="00C662EB"><w:t>11.2</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1007" w:type="dxa"/><w:shd w:val="clear" w:color="auto" w:fill="auto"/><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="008813B1" w:rsidRPr="00C662EB" w:rsidRDefault="008813B1" w:rsidP="0025564B"><w:pPr><w:pStyle w:val="Tekstpodstawowy2"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/></w:pPr><w:r w:rsidRPr="00C662EB"><w:t>15.68</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1007" w:type="dxa"/><w:shd w:val="clear" w:color="auto" w:fill="auto"/><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="008813B1" w:rsidRPr="0025564B" w:rsidRDefault="008813B1" w:rsidP="0025564B"><w:pPr><w:pStyle w:val="a"/><w:tabs><w:tab w:val="left" w:pos="426"/><w:tab w:val="left" w:pos="993"/></w:tabs><w:snapToGrid w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:vertAlign w:val="superscript"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:t>22.4</w:t></w:r></w:p></w:tc></w:tr></w:tbl><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr></w:p><w:p w:rsidR="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="008813B1"><w:pPr><w:ind w:firstLine="340"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr><w:r w:rsidRPr="00C662EB"><w:t>Proponowana procedura pozwala prześledzić deformację linii węzłowych spowodowaną otworami przelotowymi w tarczy koła i w konsekwencji ustalić odpowiedniość między postaciami drgań koła z pełną tarczą i koła z otworami w tarczy. W ostatnim kroku porównuje się wyniki uzyskane dla modelu pomocniczego z rezultatami dla układu pokazanego na rysunku 1b (model uproszczony pełny). Dane konstrukcyjne analizowanego układu zamieszczono w tablicy 1.</w:t></w:r></w:p><w:p w:rsidR="008813B1" w:rsidRDefault="008813B1" w:rsidP="00C662EB"><w:pPr><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr></w:p><w:p w:rsidR="008813B1" w:rsidRDefault="008813B1" w:rsidP="00C662EB"><w:pPr><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Rozdzia"/><w:tabs><w:tab w:val="clear" w:pos="360"/></w:tabs><w:spacing w:before="0" w:after="0"/><w:contextualSpacing/><w:rPr><w:b/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:b/><w:szCs w:val="24"/></w:rPr><w:t>Analiza Numeryczna</w:t></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr></w:p><w:p w:rsidR="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr><w:r w:rsidRPr="00C662EB"><w:t>Jak wspomniano wcześniej, rozważania prowadzi się z wykorzystaniem modelu koła z</w:t></w:r><w:r><w:t> </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t>pominiętą geometrią zębów. Pozwala to w znacznym stopniu ograniczyć liczbę elementów skończonych w modelach MES układu. Do obliczeń przyjęto element czworościenny, dziesięciowęzłowy (solid187), izotropowy o trzech stopniach swobody w każdym węźle. Wymagane do obliczeń modele MES opracowano w środowisku obliczeniowym ANSYS. W</w:t></w:r><w:r><w:t> </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t>procesie analizy stosujemy dwa modele MES rozważanego koła.</w:t></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr></w:p><w:p w:rsidR="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Rysunek"/><w:spacing w:before="0" w:after="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:noProof/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:lastRenderedPageBreak/><w:pict><v:shape id="_x0000_s1032" type="#_x0000_t202" style="position:absolute;left:0;text-align:left;margin-left:270.1pt;margin-top:13.65pt;width:10pt;height:13.5pt;z-index:7" stroked="f"><v:textbox style="mso-next-textbox:#_x0000_s1032" inset="0,0,0,0"><w:txbxContent><w:p w:rsidR="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:rPr><w:sz w:val="22"/></w:rPr></w:pPr><w:r><w:rPr><w:sz w:val="22"/></w:rPr><w:t>b)</w:t></w:r></w:p></w:txbxContent></v:textbox></v:shape></w:pict></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:noProof/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:pict><v:shape id="_x0000_s1031" type="#_x0000_t202" style="position:absolute;left:0;text-align:left;margin-left:86.1pt;margin-top:13.65pt;width:10pt;height:13.5pt;z-index:6" stroked="f"><v:textbox style="mso-next-textbox:#_x0000_s1031" inset="0,0,0,0"><w:txbxContent><w:p w:rsidR="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:rPr><w:sz w:val="22"/></w:rPr></w:pPr><w:r><w:rPr><w:sz w:val="22"/></w:rPr><w:t>a)</w:t></w:r></w:p></w:txbxContent></v:textbox></v:shape></w:pict></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve">  </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:object w:dxaOrig="2474" w:dyaOrig="2694"><v:shape id="_x0000_i1029" type="#_x0000_t75" style="width:106.65pt;height:116.45pt" o:ole="" o:allowoverlap="f" filled="t"><v:fill color2="black"/><v:imagedata r:id="rId19" o:title="" grayscale="t"/></v:shape><o:OLEObject Type="Embed" ProgID="Word.Picture.8" ShapeID="_x0000_i1029" DrawAspect="Content" ObjectID="_1532528242" r:id="rId20"/></w:object></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve">                            </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:object w:dxaOrig="8101" w:dyaOrig="8849"><v:shape id="_x0000_i1030" type="#_x0000_t75" style="width:105.8pt;height:116.45pt" o:ole=""><v:imagedata r:id="rId21" o:title="" grayscale="t"/></v:shape><o:OLEObject Type="Embed" ProgID="PBrush" ShapeID="_x0000_i1030" DrawAspect="Content" ObjectID="_1532528243" r:id="rId22"/></w:object></w:r></w:p><w:p w:rsidR="00A12117" w:rsidRPr="00C662EB" w:rsidRDefault="00A12117" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Rysunek"/><w:spacing w:before="0" w:after="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Rysunekopispopolsku"/><w:tabs><w:tab w:val="clear" w:pos="737"/></w:tabs><w:ind w:left="0" w:firstLine="0"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>Model podstawowy MES układu (a) i model MES z cykliczną symetrią układu (b)</w:t></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00E13BC6" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Rysunekopispoangielsku"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="0"/></w:numPr><w:tabs><w:tab w:val="left" w:pos="624"/></w:tabs><w:spacing w:after="0"/><w:ind w:left="737" w:hanging="737"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="pl-PL"/></w:rPr></w:pPr></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr><w:r w:rsidRPr="00C662EB"><w:t>Pierwszy opracowany model (tzw. model podstawowy) pokazano na rysunku 3a. Model zawiera 19725 elementów oraz 36248 węzłów. Drugi model MES opracowano z</w:t></w:r><w:r><w:t> </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t>uwzględnieniem własności cyklicznej symetrii układu. Geometrycznie drugi model stanowi jedną piątą część modelu podstawowego MES (rys. 3b). Model ten zawiera 3984 element</w:t></w:r><w:r w:rsidR="006B2F70"><w:t>y</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve"> skończon</w:t></w:r><w:r w:rsidR="006B2F70"><w:t>e</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve">. We wszystkich analizowanych modelach (łącznie z modelami pomocniczymi MES) warunki brzegowe przyłożono do węzłów. W każdym modelu MES węzłom leżącym na powierzchni oznaczonej </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>łożysko</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve"> (rys. 2a</w:t></w:r><w:r w:rsidR="006B2F70"><w:t>-</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t>b) odebrano jeden stopień swobody związany z</w:t></w:r><w:r><w:t> </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t>przemieszczeniem promieniowym węzłów. Z kolei węzłom leżącym na powierzchni oznaczonej jako połączenie (rys. 2a</w:t></w:r><w:r w:rsidR="006B2F70"><w:t>-</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t>b) odebrano jeden stopień swobody związany z</w:t></w:r><w:r><w:t> </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t>przemieszczeniem węzłów wzdłuż osi symetrii każdego modelu. Ponadto</w:t></w:r><w:r w:rsidR="006B2F70"><w:t>,</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve"> w drugim modelu MES występują warunki brzegowe</w:t></w:r><w:r w:rsidR="006B2F70"><w:t>,</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve"> uwzględniające cykliczną symetrię układu. Dla tak opracowanych modeli MES prowadzono analizę numeryczną do momentu wyznaczenia częstości własnej </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>ω</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:vertAlign w:val="subscript"/></w:rPr><w:t>18</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t>. Obliczenia wykonano</w:t></w:r><w:r w:rsidR="006B2F70"><w:t>,</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve"> przy założeniu że układy obracają się z</w:t></w:r><w:r><w:t> </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t>prędkościami odpowiednio 80 [rad/s] i 1047 [rad/s]. Efekt wirowania uwzględniono, wyznaczając dla każdego przypadku modelu w pierwszym kroku obliczeniowym związanym z analizą statyczną rozkład naprężeń</w:t></w:r><w:r w:rsidR="006B2F70"><w:t>,</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve"> wynikający z ruchu obrotowego koła. Następnie uzyskany rozkład wykorzystano w kolejnym kroku obliczeniowym związanym z analizą modalną.</w:t></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tekstpodstawowywcity"/><w:widowControl w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:snapToGrid w:val="0"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:snapToGrid w:val="0"/><w:szCs w:val="24"/></w:rPr><w:t>W dalszej kolejności przedstawiono wybrane wyniki analizy numerycznej, pozwalające potwierdzić skuteczność omawianej procedury identyfikacji postaci drgań własnych poprzecznych koła. W pierwszej kolejności pokazane są zdeformowane postacie własne (rys. 4</w:t></w:r><w:r w:rsidR="006B2F70"><w:rPr><w:snapToGrid w:val="0"/><w:szCs w:val="24"/></w:rPr><w:t>-</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:snapToGrid w:val="0"/><w:szCs w:val="24"/></w:rPr><w:t>5), do identyfikacji których konieczn</w:t></w:r><w:r w:rsidR="008112F2"><w:rPr><w:snapToGrid w:val="0"/><w:szCs w:val="24"/></w:rPr><w:t>e</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:snapToGrid w:val="0"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve"> było zastosowanie procedury oznaczania postaci drgań własnych. W prezentowanych rozwiązaniach daje się zauważyć znaczne deformacje linii węzłowych</w:t></w:r><w:r w:rsidR="008112F2"><w:rPr><w:snapToGrid w:val="0"/><w:szCs w:val="24"/></w:rPr><w:t>,</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:snapToGrid w:val="0"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve"> związanych z okręgami i średnicami węzłowymi. Warto też podkreślić, że we wszystkich omawianych przypadkach występuje znaczna zgodność pomiędzy kształtem form wygenerowanych z pierwszego i drugiego modelu MES układu.</w:t></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tekstpodstawowywcity"/><w:widowControl w:val="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:snapToGrid w:val="0"/><w:szCs w:val="24"/></w:rPr></w:pPr></w:p><w:p w:rsidR="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Rysunek"/><w:spacing w:before="0" w:after="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:noProof/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:pict><v:shape id="_x0000_s1037" type="#_x0000_t202" style="position:absolute;left:0;text-align:left;margin-left:309.1pt;margin-top:1.65pt;width:10pt;height:13.5pt;z-index:12" 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w:val="24"/></w:rPr><w:t xml:space="preserve">          </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:object w:dxaOrig="10379" w:dyaOrig="10274"><v:shape id="_x0000_i1032" type="#_x0000_t75" style="width:104pt;height:101.35pt" o:ole=""><v:imagedata r:id="rId25" o:title="" grayscale="t"/></v:shape><o:OLEObject Type="Embed" ProgID="PBrush" ShapeID="_x0000_i1032" DrawAspect="Content" ObjectID="_1532528245" r:id="rId26"/></w:object></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve">          </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:object w:dxaOrig="10396" w:dyaOrig="10231"><v:shape id="_x0000_i1033" type="#_x0000_t75" style="width:103.1pt;height:101.35pt" o:ole=""><v:imagedata r:id="rId27" o:title="" grayscale="t"/></v:shape><o:OLEObject Type="Embed" ProgID="PBrush" ShapeID="_x0000_i1033" DrawAspect="Content" ObjectID="_1532528246" r:id="rId28"/></w:object></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Rysunek"/><w:spacing w:before="0" w:after="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Rysunekopispopolsku"/><w:tabs><w:tab w:val="clear" w:pos="737"/></w:tabs><w:ind w:left="0" w:firstLine="0"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>Postacie drgań odpowiadające częstościom: (a) </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>ω</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:sz w:val="24"/><w:szCs w:val="24"/><w:vertAlign w:val="subscript"/></w:rPr><w:t>16</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>; (b) </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>ω</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:sz w:val="24"/><w:szCs w:val="24"/><w:vertAlign w:val="subscript"/></w:rPr><w:t>31</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>; (c) </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>ω</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:sz w:val="24"/><w:szCs w:val="24"/><w:vertAlign w:val="subscript"/></w:rPr><w:t>25</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>; (model podstawowy)</w:t></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Rysunek"/><w:spacing w:before="0" w:after="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr></w:p><w:p w:rsidR="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Rysunek"/><w:spacing w:before="0" w:after="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:noProof/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:lastRenderedPageBreak/><w:pict><v:shape id="_x0000_s1038" type="#_x0000_t202" style="position:absolute;left:0;text-align:left;margin-left:308.6pt;margin-top:13.65pt;width:10pt;height:13.5pt;z-index:13" stroked="f"><v:textbox style="mso-next-textbox:#_x0000_s1038" inset="0,0,0,0"><w:txbxContent><w:p w:rsidR="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:rPr><w:sz w:val="22"/></w:rPr></w:pPr><w:r><w:rPr><w:sz w:val="22"/></w:rPr><w:t>c)</w:t></w:r></w:p></w:txbxContent></v:textbox></v:shape></w:pict></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:noProof/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:pict><v:shape id="_x0000_s1036" type="#_x0000_t202" style="position:absolute;left:0;text-align:left;margin-left:175.6pt;margin-top:13.65pt;width:10pt;height:13.5pt;z-index:11" stroked="f"><v:textbox style="mso-next-textbox:#_x0000_s1036" inset="0,0,0,0"><w:txbxContent><w:p w:rsidR="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:rPr><w:sz w:val="22"/></w:rPr></w:pPr><w:r><w:rPr><w:sz w:val="22"/></w:rPr><w:t>b)</w:t></w:r></w:p></w:txbxContent></v:textbox></v:shape></w:pict></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:noProof/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:pict><v:shape id="_x0000_s1035" type="#_x0000_t202" style="position:absolute;left:0;text-align:left;margin-left:44.6pt;margin-top:13.65pt;width:10pt;height:13.5pt;z-index:10" stroked="f"><v:textbox style="mso-next-textbox:#_x0000_s1035" inset="0,0,0,0"><w:txbxContent><w:p w:rsidR="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:rPr><w:sz w:val="22"/></w:rPr></w:pPr><w:r><w:rPr><w:sz w:val="22"/></w:rPr><w:t>a)</w:t></w:r></w:p></w:txbxContent></v:textbox></v:shape></w:pict></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:object w:dxaOrig="10604" w:dyaOrig="10349"><v:shape id="_x0000_i1034" type="#_x0000_t75" style="width:103.1pt;height:101.35pt;flip:x" o:ole=""><v:imagedata r:id="rId29" o:title="" grayscale="t"/></v:shape><o:OLEObject Type="Embed" ProgID="PBrush" ShapeID="_x0000_i1034" DrawAspect="Content" ObjectID="_1532528247" r:id="rId30"/></w:object></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve">          </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:object w:dxaOrig="10544" w:dyaOrig="10261"><v:shape id="_x0000_i1035" type="#_x0000_t75" style="width:105.8pt;height:101.35pt" o:ole=""><v:imagedata r:id="rId31" o:title="" grayscale="t"/></v:shape><o:OLEObject Type="Embed" ProgID="PBrush" ShapeID="_x0000_i1035" DrawAspect="Content" ObjectID="_1532528248" r:id="rId32"/></w:object></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve">          </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:object w:dxaOrig="10469" w:dyaOrig="10426"><v:shape id="_x0000_i1036" type="#_x0000_t75" style="width:104pt;height:101.35pt" o:ole=""><v:imagedata r:id="rId33" o:title="" grayscale="t"/></v:shape><o:OLEObject Type="Embed" ProgID="PBrush" ShapeID="_x0000_i1036" DrawAspect="Content" ObjectID="_1532528249" r:id="rId34"/></w:object></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Rysunek"/><w:spacing w:before="0" w:after="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Rysunekopispopolsku"/><w:tabs><w:tab w:val="clear" w:pos="737"/></w:tabs><w:ind w:left="0" w:firstLine="0"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>Postacie drgań odpowiadające częstościom: (a) </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>ω</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:sz w:val="24"/><w:szCs w:val="24"/><w:vertAlign w:val="subscript"/></w:rPr><w:t>16</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>; (b) </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>ω</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:sz w:val="24"/><w:szCs w:val="24"/><w:vertAlign w:val="subscript"/></w:rPr><w:t>31</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>; (c) </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>ω</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:sz w:val="24"/><w:szCs w:val="24"/><w:vertAlign w:val="subscript"/></w:rPr><w:t>25</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>; (model z</w:t></w:r><w:r><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t> </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>cykliczną symetrią)</w:t></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr></w:p><w:p w:rsidR="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr><w:r w:rsidRPr="00C662EB"><w:t>W niniejszej pracy model MES z cykliczną symetrią traktujemy jako przybliżenie modelu pełnego MES. Dokładność modeli z cykliczną symetrią względem modeli pełnych ustala się wyznaczając błąd względny częstości, określony zależnością:</w:t></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Wzory"/><w:spacing w:before="0" w:after="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:position w:val="-10"/><w:szCs w:val="24"/></w:rPr><w:object w:dxaOrig="2480" w:dyaOrig="360"><v:shape id="_x0000_i1037" type="#_x0000_t75" style="width:136pt;height:20.45pt" o:ole=""><v:imagedata r:id="rId35" o:title=""/></v:shape><o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1037" DrawAspect="Content" ObjectID="_1532528250" r:id="rId36"/></w:object></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve">                                                   (</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-GB"/></w:rPr><w:fldChar w:fldCharType="begin"/></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:szCs w:val="24"/></w:rPr><w:instrText xml:space="preserve"> SEQ ( \* ARABIC </w:instrText></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-GB"/></w:rPr><w:fldChar w:fldCharType="separate"/></w:r><w:r w:rsidR="00324278"><w:rPr><w:noProof/><w:szCs w:val="24"/></w:rPr><w:t>1</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-GB"/></w:rPr><w:fldChar w:fldCharType="end"/></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:szCs w:val="24"/></w:rPr><w:t>)</w:t></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tekstpodstawowyartykuu"/><w:ind w:firstLine="0"/><w:contextualSpacing/><w:rPr><w:szCs w:val="24"/></w:rPr></w:pPr></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="008112F2" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tekstpodstawowyartykuu"/><w:ind w:firstLine="0"/><w:contextualSpacing/><w:rPr><w:szCs w:val="24"/></w:rPr></w:pPr><w:r><w:rPr><w:szCs w:val="24"/></w:rPr><w:t>g</w:t></w:r><w:r w:rsidR="00C662EB" w:rsidRPr="00C662EB"><w:rPr><w:szCs w:val="24"/></w:rPr><w:t>dzie:</w:t></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tekstpodstawowy"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:sz w:val="24"/></w:rPr><w:t>ω</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:sz w:val="24"/><w:vertAlign w:val="superscript"/></w:rPr><w:t>c</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/></w:rPr><w:t> – częstotliwość własna z modelu MES z cykliczną symetrią [Hz];</w:t></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tekstpodstawowy"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:sz w:val="24"/></w:rPr><w:t>ω</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:sz w:val="24"/><w:vertAlign w:val="superscript"/></w:rPr><w:t>p</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/></w:rPr><w:t> – częstotliwość własna z modelu pełnego MES (podstawowego) [Hz].</w:t></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr></w:p><w:tbl><w:tblPr><w:tblW w:w="9041" w:type="dxa"/><w:jc w:val="center"/><w:tblBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:insideH w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:insideV w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tblBorders><w:tblLayout w:type="fixed"/><w:tblCellMar><w:left w:w="70" w:type="dxa"/><w:right w:w="70" w:type="dxa"/></w:tblCellMar><w:tblLook w:val="0000" w:firstRow="0" w:lastRow="0" w:firstColumn="0" w:lastColumn="0" w:noHBand="0" w:noVBand="0"/></w:tblPr><w:tblGrid><w:gridCol w:w="2112"/><w:gridCol w:w="2309"/><w:gridCol w:w="2310"/><w:gridCol w:w="2310"/></w:tblGrid><w:tr w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidTr="008813B1"><w:tblPrEx><w:tblCellMar><w:top w:w="0" w:type="dxa"/><w:bottom w:w="0" w:type="dxa"/></w:tblCellMar></w:tblPrEx><w:trPr><w:jc w:val="center"/></w:trPr><w:tc><w:tcPr><w:tcW w:w="9041" w:type="dxa"/><w:gridSpan w:val="4"/><w:tcBorders><w:top w:val="nil"/><w:left w:val="nil"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="nil"/></w:tcBorders></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tablicanumeracja"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:rFonts w:cs="Times New Roman"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:rFonts w:cs="Times New Roman"/><w:snapToGrid w:val="0"/></w:rPr><w:br w:type="page"/></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:rFonts w:cs="Times New Roman"/><w:snapToGrid w:val="0"/></w:rPr><w:br w:type="page"/></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:rFonts w:cs="Times New Roman"/><w:snapToGrid w:val="0"/></w:rPr><w:br w:type="page"/></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:rFonts w:cs="Times New Roman"/><w:snapToGrid w:val="0"/></w:rPr><w:br w:type="page"/></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:rFonts w:cs="Times New Roman"/><w:snapToGrid w:val="0"/></w:rPr><w:br w:type="page"/></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:rFonts w:cs="Times New Roman"/></w:rPr><w:br w:type="page"/><w:t>Tablica 3</w:t></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tablicatytu"/><w:spacing w:after="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:szCs w:val="24"/></w:rPr><w:t>Wartości częstotliwości własnych oraz błąd częstości</w:t></w:r></w:p></w:tc></w:tr><w:tr w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidTr="008813B1"><w:tblPrEx><w:tblCellMar><w:top w:w="0" w:type="dxa"/><w:bottom w:w="0" w:type="dxa"/></w:tblCellMar></w:tblPrEx><w:trPr><w:jc w:val="center"/></w:trPr><w:tc><w:tcPr><w:tcW w:w="2112" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tablicatre"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>θ</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve"> [rad/s]</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="2309" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tablicatre"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>ω</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:sz w:val="24"/><w:szCs w:val="24"/><w:vertAlign w:val="subscript"/></w:rPr><w:t>16</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve"> [Hz]</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="2310" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tablicatre"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>ω</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:sz w:val="24"/><w:szCs w:val="24"/><w:vertAlign w:val="subscript"/></w:rPr><w:t>31</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve"> [Hz]</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="2310" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tablicatre"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>ω</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:sz w:val="24"/><w:szCs w:val="24"/><w:vertAlign w:val="subscript"/></w:rPr><w:t>25</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve"> [Hz]</w:t></w:r></w:p></w:tc></w:tr><w:tr w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidTr="008813B1"><w:tblPrEx><w:tblCellMar><w:top w:w="0" w:type="dxa"/><w:bottom w:w="0" w:type="dxa"/></w:tblCellMar></w:tblPrEx><w:trPr><w:jc w:val="center"/></w:trPr><w:tc><w:tcPr><w:tcW w:w="9041" w:type="dxa"/><w:gridSpan w:val="4"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tablicatre"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>Model podstawowy</w:t></w:r></w:p></w:tc></w:tr><w:tr w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidTr="008813B1"><w:tblPrEx><w:tblCellMar><w:top w:w="0" w:type="dxa"/><w:bottom w:w="0" w:type="dxa"/></w:tblCellMar></w:tblPrEx><w:trPr><w:jc w:val="center"/></w:trPr><w:tc><w:tcPr><w:tcW w:w="2112" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tablicatre"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>80</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="2309" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tablicatre"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>16949</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="2310" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tablicatre"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>18767</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="2310" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tablicatre"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>26633</w:t></w:r></w:p></w:tc></w:tr><w:tr w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidTr="008813B1"><w:tblPrEx><w:tblCellMar><w:top w:w="0" w:type="dxa"/><w:bottom w:w="0" w:type="dxa"/></w:tblCellMar></w:tblPrEx><w:trPr><w:jc w:val="center"/></w:trPr><w:tc><w:tcPr><w:tcW w:w="2112" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tablicatre"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>1047</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="2309" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tablicatre"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>16968</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="2310" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tablicatre"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>18785</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="2310" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tablicatre"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>26658</w:t></w:r></w:p></w:tc></w:tr><w:tr w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidTr="008813B1"><w:tblPrEx><w:tblCellMar><w:top w:w="0" w:type="dxa"/><w:bottom w:w="0" w:type="dxa"/></w:tblCellMar></w:tblPrEx><w:trPr><w:jc w:val="center"/></w:trPr><w:tc><w:tcPr><w:tcW w:w="9041" w:type="dxa"/><w:gridSpan w:val="4"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tablicatre"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>Model z cykliczną symetrią</w:t></w:r></w:p></w:tc></w:tr><w:tr w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidTr="008813B1"><w:tblPrEx><w:tblCellMar><w:top w:w="0" w:type="dxa"/><w:bottom w:w="0" w:type="dxa"/></w:tblCellMar></w:tblPrEx><w:trPr><w:jc w:val="center"/></w:trPr><w:tc><w:tcPr><w:tcW w:w="2112" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" 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w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tablicatre"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>16967</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="2310" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tablicatre"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>18786</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="2310" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tablicatre"/><w:ind 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w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tablicatre"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>80</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="2309" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tablicatre"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>-0.006</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="2310" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tablicatre"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>-0.005</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="2310" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tablicatre"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>0.008</w:t></w:r></w:p></w:tc></w:tr><w:tr w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidTr="008813B1"><w:tblPrEx><w:tblCellMar><w:top w:w="0" w:type="dxa"/><w:bottom w:w="0" w:type="dxa"/></w:tblCellMar></w:tblPrEx><w:trPr><w:jc w:val="center"/></w:trPr><w:tc><w:tcPr><w:tcW w:w="2112" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tablicatre"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>1047</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="2309" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tablicatre"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>-0.006</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="2310" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tablicatre"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>0.005</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="2310" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tablicatre"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>0.008</w:t></w:r></w:p></w:tc></w:tr><w:tr w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidTr="008813B1"><w:tblPrEx><w:tblCellMar><w:top w:w="0" w:type="dxa"/><w:bottom w:w="0" w:type="dxa"/></w:tblCellMar></w:tblPrEx><w:trPr><w:trHeight w:val="257"/><w:jc w:val="center"/></w:trPr><w:tc><w:tcPr><w:tcW w:w="9041" w:type="dxa"/><w:gridSpan w:val="4"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="nil"/><w:bottom w:val="nil"/><w:right w:val="nil"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tablicardo"/><w:spacing w:after="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/></w:pPr></w:p></w:tc></w:tr></w:tbl><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr><w:r w:rsidRPr="00C662EB"><w:t>W tablicy 3 zamieszczono wartości częstotliwości własnych odnoszące się do postaci własnych prezentowanych na rysunkach 4</w:t></w:r><w:r w:rsidR="008112F2"><w:t xml:space="preserve"> i </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve">5 oraz błędy częstości wynikające z porównania wyników. Wartości te wyznaczono dla dwóch różnych prędkości kątowych układu, tj. dla </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>θ</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve"> = 80 [rad/s] oraz dla </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>θ</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t> = 1047 [rad/s]. Podobnie jak w przypadku postaci drgań własnych, we wszystkich omawianych przypadkach występuje znaczna zgodność odpowiednich wartości częstotliwości własnych wygenerowanych z obu modeli MES układu.</w:t></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr><w:r w:rsidRPr="00C662EB"><w:t>Kolejne prezentowane rezultaty dotyczą procedury oznaczania zdeformowanych postaci drgań własnych układu. Podobnie jak dla koła, w procesie analizy stosujemy dwa rozwiązania w zakresie budowy modeli pomocniczych MES. W pierwszym rozwiązaniu modele pomocnicze MES wygenerowano na podstawie pełnych modeli geometrycznych (rys. 2b). Oznaczymy je jako tzw. modele pomocnicze MES pełne. W drugim rozwiązaniu uwzględniono własności cyklicznej symetrii modeli pomocniczych. W tym rozwiązaniu każdy model pomocniczy MES stanowi jedną piątą część modelu pomocniczego MES pełnego. Będziemy je określać jako modele pomocnicze MES z cykliczną symetrią.</w:t></w:r></w:p><w:tbl><w:tblPr><w:tblW w:w="9041" w:type="dxa"/><w:jc w:val="center"/><w:tblLayout w:type="fixed"/><w:tblCellMar><w:left w:w="70" w:type="dxa"/><w:right w:w="70" w:type="dxa"/></w:tblCellMar><w:tblLook w:val="0000" w:firstRow="0" w:lastRow="0" w:firstColumn="0" w:lastColumn="0" w:noHBand="0" w:noVBand="0"/></w:tblPr><w:tblGrid><w:gridCol w:w="1004"/><w:gridCol w:w="1005"/><w:gridCol w:w="1004"/><w:gridCol w:w="1005"/><w:gridCol w:w="1004"/><w:gridCol w:w="1005"/><w:gridCol w:w="1004"/><w:gridCol w:w="1005"/><w:gridCol w:w="1005"/></w:tblGrid><w:tr w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidTr="008813B1"><w:tblPrEx><w:tblCellMar><w:top w:w="0" w:type="dxa"/><w:bottom w:w="0" w:type="dxa"/></w:tblCellMar></w:tblPrEx><w:trPr><w:jc w:val="center"/></w:trPr><w:tc><w:tcPr><w:tcW w:w="9041" w:type="dxa"/><w:gridSpan w:val="9"/><w:tcBorders><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tablicanumeracja"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:rFonts w:cs="Times New Roman"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:rFonts w:cs="Times New Roman"/><w:snapToGrid w:val="0"/></w:rPr><w:lastRenderedPageBreak/><w:br w:type="page"/></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:rFonts w:cs="Times New Roman"/><w:snapToGrid w:val="0"/></w:rPr><w:br w:type="page"/></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:rFonts w:cs="Times New Roman"/><w:snapToGrid w:val="0"/></w:rPr><w:br w:type="page"/></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:rFonts w:cs="Times New Roman"/><w:snapToGrid w:val="0"/></w:rPr><w:br w:type="page"/></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:rFonts w:cs="Times New Roman"/><w:snapToGrid w:val="0"/></w:rPr><w:br w:type="page"/></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:rFonts w:cs="Times New Roman"/></w:rPr><w:br w:type="page"/><w:t>Tablica 4</w:t></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tablicatytu"/><w:spacing w:after="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:szCs w:val="24"/></w:rPr><w:t>Wartości częstotliwości własnych oraz błąd częstości (modele pomocnicze)</w:t></w:r></w:p></w:tc></w:tr><w:tr w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidTr="008813B1"><w:tblPrEx><w:tblCellMar><w:top w:w="0" w:type="dxa"/><w:bottom w:w="0" w:type="dxa"/></w:tblCellMar></w:tblPrEx><w:trPr><w:jc w:val="center"/></w:trPr><w:tc><w:tcPr><w:tcW w:w="1004" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tablicatre"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1005" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tablicatre"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>1</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1004" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tablicatre"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>2</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1005" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right 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w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tablicatre"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>-0.035</w:t></w:r></w:p></w:tc><w:tc><w:tcPr><w:tcW w:w="1005" w:type="dxa"/><w:tcBorders><w:top w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:left w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tablicatre"/><w:ind 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w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:bottom w:val="single" w:sz="4" w:space="0" w:color="auto"/><w:right w:val="single" w:sz="4" w:space="0" w:color="auto"/></w:tcBorders><w:vAlign w:val="center"/></w:tcPr><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Tablicatre"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:rFonts w:eastAsia="Arial Unicode MS"/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>-0.142</w:t></w:r></w:p></w:tc></w:tr><w:tr w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidTr="008813B1"><w:tblPrEx><w:tblCellMar><w:top w:w="0" w:type="dxa"/><w:bottom w:w="0" w:type="dxa"/></w:tblCellMar></w:tblPrEx><w:trPr><w:trHeight w:val="257"/><w:jc w:val="center"/></w:trPr><w:tc><w:tcPr><w:tcW w:w="9041" w:type="dxa"/><w:gridSpan w:val="9"/><w:tcBorders><w:top 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r:id="rId38"/></w:object></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve">          </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:object w:dxaOrig="10439" w:dyaOrig="10171"><v:shape id="_x0000_i1039" type="#_x0000_t75" style="width:75.55pt;height:73.8pt" o:ole=""><v:imagedata r:id="rId39" o:title="" grayscale="t"/></v:shape><o:OLEObject Type="Embed" ProgID="PBrush" ShapeID="_x0000_i1039" DrawAspect="Content" ObjectID="_1532528252" r:id="rId40"/></w:object></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve">          </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:object w:dxaOrig="10304" w:dyaOrig="10124"><v:shape id="_x0000_i1040" type="#_x0000_t75" style="width:75.55pt;height:73.8pt" o:ole=""><v:imagedata r:id="rId41" o:title="" grayscale="t"/></v:shape><o:OLEObject Type="Embed" ProgID="PBrush" ShapeID="_x0000_i1040" DrawAspect="Content" ObjectID="_1532528253" r:id="rId42"/></w:object></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve">          </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:object w:dxaOrig="10454" w:dyaOrig="10261"><v:shape id="_x0000_i1041" type="#_x0000_t75" style="width:75.55pt;height:73.8pt" o:ole=""><v:imagedata r:id="rId43" o:title="" grayscale="t"/></v:shape><o:OLEObject Type="Embed" ProgID="PBrush" ShapeID="_x0000_i1041" DrawAspect="Content" ObjectID="_1532528254" r:id="rId44"/></w:object></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Rysunekopispopolsku"/><w:tabs><w:tab w:val="clear" w:pos="737"/></w:tabs><w:ind w:left="0" w:firstLine="0"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve">Postacie drgań odpowiadające częstości </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>ω</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:sz w:val="24"/><w:szCs w:val="24"/><w:vertAlign w:val="subscript"/></w:rPr><w:t>16</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve"> (model pomocniczy MES pełny)</w:t></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Rysunek"/><w:spacing w:before="0" w:after="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:object w:dxaOrig="10574" w:dyaOrig="10154"><v:shape id="_x0000_i1042" type="#_x0000_t75" style="width:77.35pt;height:74.65pt" o:ole=""><v:imagedata r:id="rId45" o:title="" grayscale="t"/></v:shape><o:OLEObject Type="Embed" ProgID="PBrush" ShapeID="_x0000_i1042" DrawAspect="Content" ObjectID="_1532528255" r:id="rId46"/></w:object></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve">          </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:object w:dxaOrig="10124" w:dyaOrig="9914"><v:shape id="_x0000_i1043" type="#_x0000_t75" style="width:76.45pt;height:74.65pt" o:ole=""><v:imagedata r:id="rId47" o:title="" grayscale="t"/></v:shape><o:OLEObject Type="Embed" ProgID="PBrush" ShapeID="_x0000_i1043" DrawAspect="Content" ObjectID="_1532528256" r:id="rId48"/></w:object></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve">          </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:object w:dxaOrig="10066" w:dyaOrig="9884"><v:shape id="_x0000_i1044" type="#_x0000_t75" style="width:75.55pt;height:74.65pt" o:ole=""><v:imagedata r:id="rId49" o:title="" grayscale="t"/></v:shape><o:OLEObject Type="Embed" ProgID="PBrush" ShapeID="_x0000_i1044" DrawAspect="Content" ObjectID="_1532528257" r:id="rId50"/></w:object></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve">          </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:object w:dxaOrig="10439" w:dyaOrig="10184"><v:shape id="_x0000_i1045" type="#_x0000_t75" style="width:76.45pt;height:74.65pt" o:ole=""><v:imagedata r:id="rId51" o:title="" grayscale="t"/></v:shape><o:OLEObject Type="Embed" ProgID="PBrush" ShapeID="_x0000_i1045" DrawAspect="Content" ObjectID="_1532528258" r:id="rId52"/></w:object></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00CC7174"><w:pPr><w:pStyle w:val="Rysunekopispopolsku"/><w:tabs><w:tab w:val="clear" w:pos="737"/></w:tabs><w:ind w:left="0" w:firstLine="0"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve">Postacie drgań odpowiadające częstości </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>ω</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:sz w:val="24"/><w:szCs w:val="24"/><w:vertAlign w:val="subscript"/></w:rPr><w:t>16</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve"> (model pomocniczy MES pełny)</w:t></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Rysunekopispoangielsku"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="0"/></w:numPr><w:tabs><w:tab w:val="left" w:pos="624"/></w:tabs><w:spacing w:after="0"/><w:ind w:left="2836"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/><w:lang w:val="pl-PL"/></w:rPr></w:pPr></w:p><w:p w:rsidR="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr><w:r w:rsidRPr="00C662EB"><w:t>W tablicy 4 zamieszczono wyniki obliczeń</w:t></w:r><w:r w:rsidR="00025B85"><w:t>,</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve"> odnoszące się do modeli pomocniczych MES pełnych i z cykliczną symetrią, wykorzystanych w procedurze oznaczania form własnych wymienionych wcześniej częstości własnych. Prezentowane rezultaty wygenerowano</w:t></w:r><w:r w:rsidR="00025B85"><w:t>,</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve"> przy założeniu że prędkość kątowa wynosi </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/></w:rPr><w:t>θ</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve"> = 80 [rad/s]. </w:t></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr></w:p><w:p w:rsidR="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Rysunek"/><w:spacing w:before="0" w:after="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:object w:dxaOrig="10679" w:dyaOrig="10274"><v:shape id="_x0000_i1046" type="#_x0000_t75" style="width:75.55pt;height:73.8pt" o:ole=""><v:imagedata r:id="rId53" o:title="" grayscale="t"/></v:shape><o:OLEObject Type="Embed" ProgID="PBrush" ShapeID="_x0000_i1046" DrawAspect="Content" ObjectID="_1532528259" r:id="rId54"/></w:object></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve">          </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:object w:dxaOrig="10679" w:dyaOrig="10261"><v:shape id="_x0000_i1047" type="#_x0000_t75" style="width:76.45pt;height:73.8pt" o:ole=""><v:imagedata r:id="rId55" o:title="" grayscale="t"/></v:shape><o:OLEObject Type="Embed" ProgID="PBrush" ShapeID="_x0000_i1047" DrawAspect="Content" ObjectID="_1532528260" r:id="rId56"/></w:object></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve">          </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:object w:dxaOrig="10261" w:dyaOrig="10141"><v:shape id="_x0000_i1048" type="#_x0000_t75" style="width:73.8pt;height:73.8pt" o:ole=""><v:imagedata r:id="rId57" o:title="" grayscale="t"/></v:shape><o:OLEObject Type="Embed" ProgID="PBrush" ShapeID="_x0000_i1048" DrawAspect="Content" ObjectID="_1532528261" r:id="rId58"/></w:object></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve">          </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:object w:dxaOrig="10469" w:dyaOrig="10244"><v:shape id="_x0000_i1049" type="#_x0000_t75" style="width:75.55pt;height:73.8pt" o:ole=""><v:imagedata r:id="rId59" o:title="" grayscale="t"/></v:shape><o:OLEObject Type="Embed" ProgID="PBrush" ShapeID="_x0000_i1049" DrawAspect="Content" ObjectID="_1532528262" r:id="rId60"/></w:object></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00CC7174"><w:pPr><w:pStyle w:val="Rysunekopispopolsku"/><w:tabs><w:tab w:val="clear" w:pos="737"/></w:tabs><w:ind w:left="0" w:firstLine="0"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve">Postacie drgań odpowiadające częstości </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>ω</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:sz w:val="24"/><w:szCs w:val="24"/><w:vertAlign w:val="subscript"/></w:rPr><w:t>31</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve"> (model pomocniczy MES pełny)</w:t></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Rysunekopispopolsku"/><w:numPr><w:ilvl w:val="0"/><w:numId w:val="0"/></w:numPr><w:tabs><w:tab w:val="clear" w:pos="737"/><w:tab w:val="left" w:pos="680"/></w:tabs><w:ind w:left="1021"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr></w:p><w:p w:rsidR="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Rysunek"/><w:spacing w:before="0" w:after="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:object w:dxaOrig="10514" w:dyaOrig="10244"><v:shape id="_x0000_i1050" type="#_x0000_t75" style="width:76.45pt;height:74.65pt" o:ole=""><v:imagedata r:id="rId61" o:title="" grayscale="t"/></v:shape><o:OLEObject Type="Embed" ProgID="PBrush" ShapeID="_x0000_i1050" DrawAspect="Content" ObjectID="_1532528263" r:id="rId62"/></w:object></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve">          </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:object w:dxaOrig="10319" w:dyaOrig="10154"><v:shape id="_x0000_i1051" type="#_x0000_t75" style="width:76.45pt;height:74.65pt" o:ole=""><v:imagedata r:id="rId63" o:title="" grayscale="t"/></v:shape><o:OLEObject Type="Embed" ProgID="PBrush" ShapeID="_x0000_i1051" DrawAspect="Content" ObjectID="_1532528264" r:id="rId64"/></w:object></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve">          </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:object w:dxaOrig="10304" w:dyaOrig="10214"><v:shape id="_x0000_i1052" type="#_x0000_t75" style="width:75.55pt;height:74.65pt" o:ole=""><v:imagedata r:id="rId65" o:title="" grayscale="t"/></v:shape><o:OLEObject Type="Embed" ProgID="PBrush" ShapeID="_x0000_i1052" DrawAspect="Content" ObjectID="_1532528265" r:id="rId66"/></w:object></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve">          </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:object w:dxaOrig="10319" w:dyaOrig="10201"><v:shape id="_x0000_i1053" type="#_x0000_t75" style="width:75.55pt;height:74.65pt" o:ole=""><v:imagedata r:id="rId67" o:title="" grayscale="t"/></v:shape><o:OLEObject Type="Embed" ProgID="PBrush" ShapeID="_x0000_i1053" DrawAspect="Content" ObjectID="_1532528266" r:id="rId68"/></w:object></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00D6094A"><w:pPr><w:pStyle w:val="Rysunekopispopolsku"/><w:tabs><w:tab w:val="clear" w:pos="737"/></w:tabs><w:ind w:left="0" w:firstLine="0"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve">Postacie drgań odpowiadające częstości </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>ω</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:sz w:val="24"/><w:szCs w:val="24"/><w:vertAlign w:val="subscript"/></w:rPr><w:t>31</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve"> (model pomocniczy MES pełny)</w:t></w:r></w:p><w:p w:rsidR="00D6094A" w:rsidRDefault="00D6094A" w:rsidP="00C662EB"><w:pPr><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr><w:r w:rsidRPr="00C662EB"><w:t>Wyniki prezentowane na rys. 6</w:t></w:r><w:r w:rsidR="00CC7174"><w:t>-</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t>10 uzyskano przy użyciu modeli pomocniczych MES pełnych. Z kolei postacie własne pokazane na rysunku 11 otrzymano z modeli pomocniczych MES z cykliczną symetrią.</w:t></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr></w:p><w:p w:rsidR="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Rysunek"/><w:spacing w:before="0" w:after="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:object w:dxaOrig="10244" w:dyaOrig="10261"><v:shape id="_x0000_i1054" type="#_x0000_t75" style="width:72.9pt;height:73.8pt" o:ole=""><v:imagedata r:id="rId69" o:title="" grayscale="t"/></v:shape><o:OLEObject Type="Embed" ProgID="PBrush" ShapeID="_x0000_i1054" DrawAspect="Content" ObjectID="_1532528267" r:id="rId70"/></w:object></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve">               </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:object w:dxaOrig="10336" w:dyaOrig="10304"><v:shape id="_x0000_i1055" type="#_x0000_t75" style="width:75.55pt;height:74.65pt" o:ole=""><v:imagedata r:id="rId71" o:title="" grayscale="t"/></v:shape><o:OLEObject Type="Embed" ProgID="PBrush" ShapeID="_x0000_i1055" DrawAspect="Content" ObjectID="_1532528268" r:id="rId72"/></w:object></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve">               </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:object w:dxaOrig="10426" w:dyaOrig="10231"><v:shape id="_x0000_i1056" type="#_x0000_t75" style="width:77.35pt;height:74.65pt" o:ole=""><v:imagedata r:id="rId73" o:title="" grayscale="t"/></v:shape><o:OLEObject Type="Embed" ProgID="PBrush" ShapeID="_x0000_i1056" DrawAspect="Content" ObjectID="_1532528269" r:id="rId74"/></w:object></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00CC7174"><w:pPr><w:pStyle w:val="Rysunekopispopolsku"/><w:tabs><w:tab w:val="clear" w:pos="737"/><w:tab w:val="left" w:pos="851"/></w:tabs><w:ind w:left="0" w:firstLine="0"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve">Postacie drgań odpowiadające częstości </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>ω</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:sz w:val="24"/><w:szCs w:val="24"/><w:vertAlign w:val="subscript"/></w:rPr><w:t>25</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve"> (model pomocniczy MES pełny)</w:t></w:r></w:p><w:p w:rsidR="00D6094A" w:rsidRDefault="00D6094A" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Rysunek"/><w:spacing w:before="0" w:after="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:pStyle w:val="Rysunek"/><w:spacing w:before="0" w:after="0"/><w:ind w:firstLine="284"/><w:contextualSpacing/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:object w:dxaOrig="10319" w:dyaOrig="10439"><v:shape id="_x0000_i1057" type="#_x0000_t75" style="width:72.9pt;height:74.65pt" o:ole=""><v:imagedata r:id="rId75" o:title="" grayscale="t"/></v:shape><o:OLEObject Type="Embed" ProgID="PBrush" ShapeID="_x0000_i1057" DrawAspect="Content" ObjectID="_1532528270" r:id="rId76"/></w:object></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve">               </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:object w:dxaOrig="10049" w:dyaOrig="9976"><v:shape id="_x0000_i1058" type="#_x0000_t75" style="width:74.65pt;height:74.65pt" o:ole=""><v:imagedata r:id="rId77" o:title="" grayscale="t"/></v:shape><o:OLEObject Type="Embed" ProgID="PBrush" ShapeID="_x0000_i1058" DrawAspect="Content" ObjectID="_1532528271" r:id="rId78"/></w:object></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve">               </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:object w:dxaOrig="10501" w:dyaOrig="10561"><v:shape id="_x0000_i1059" type="#_x0000_t75" style="width:73.8pt;height:74.65pt" o:ole=""><v:imagedata r:id="rId79" o:title="" grayscale="t"/></v:shape><o:OLEObject Type="Embed" ProgID="PBrush" ShapeID="_x0000_i1059" DrawAspect="Content" ObjectID="_1532528272" r:id="rId80"/></w:object></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00CC7174"><w:pPr><w:pStyle w:val="Rysunekopispopolsku"/><w:tabs><w:tab w:val="clear" w:pos="737"/><w:tab w:val="left" w:pos="851"/></w:tabs><w:ind w:left="0" w:firstLine="0"/><w:contextualSpacing/><w:jc w:val="center"/><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve">Postacie drgań odpowiadające częstości </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t>ω</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:i/><w:iCs/><w:sz w:val="24"/><w:szCs w:val="24"/><w:vertAlign w:val="subscript"/></w:rPr><w:t>25</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:sz w:val="24"/><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve"> (model pomocniczy MES z cykliczną symetrią)</w:t></w:r></w:p><w:p w:rsidR="00D6094A" w:rsidRDefault="00D6094A" w:rsidP="00C662EB"><w:pPr><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr></w:p><w:p w:rsidR="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr><w:r w:rsidRPr="00C662EB"><w:t>Przedstawione na rys. 6</w:t></w:r><w:r w:rsidR="00CC7174"><w:t>-</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t>11 wyniki pozwalają prześledzić deformację linii węzłowych, związanych z okręgami i średnicami węzłowymi, ze względu na zmianę średnicy otworów przelotowych. Zauważa się znaczne różnice kształtu form odnoszących się do dyskutowanych częstości własnych. Warto podkreślić, że do identyfikacji poszczególnych form nie jest wymagana taka sama liczba modeli pomocniczych (rys. 10). Analizując otrzymane wyniki</w:t></w:r><w:r w:rsidR="00CC7174"><w:t>,</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve"> zauważa się nieznaczne różnice pomiędzy wartościami poszczególnych częstotliwości własnych otrzymanych odpowiednio z modeli pełnych i z modeli z cykliczną symetrią (tablica 4). Ponadto</w:t></w:r><w:r w:rsidR="00CC7174"><w:t>,</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve"> występuje znaczna zgodność kształtu form otrzymanych z modeli pomocniczych pełnych i postaci otrzymanych z modeli z cykliczną symetrią.</w:t></w:r></w:p><w:p w:rsidR="00D6094A" w:rsidRDefault="00D6094A" w:rsidP="00D6094A"><w:pPr><w:contextualSpacing/><w:jc w:val="both"/></w:pPr></w:p><w:p w:rsidR="00D6094A" w:rsidRPr="00C662EB" w:rsidRDefault="00D6094A" w:rsidP="00D6094A"><w:pPr><w:contextualSpacing/><w:jc w:val="both"/></w:pPr></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00D6094A" w:rsidRDefault="00C662EB" w:rsidP="00D6094A"><w:pPr><w:pStyle w:val="Rozdzia"/><w:tabs><w:tab w:val="clear" w:pos="360"/></w:tabs><w:spacing w:before="0" w:after="0"/><w:contextualSpacing/><w:rPr><w:b/><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00D6094A"><w:rPr><w:b/><w:szCs w:val="24"/></w:rPr><w:t>Uwagi i WNIOSKI</w:t></w:r></w:p><w:p w:rsidR="00D6094A" w:rsidRDefault="00D6094A" w:rsidP="00D6094A"><w:pPr><w:contextualSpacing/><w:jc w:val="both"/></w:pPr></w:p><w:p w:rsidR="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00C662EB"><w:pPr><w:ind w:firstLine="284"/><w:contextualSpacing/><w:jc w:val="both"/></w:pPr><w:r w:rsidRPr="00C662EB"><w:t>Projektowanie wirujących zespołów współczesnych konstrukcji mechanicznych wymaga stosowania zaawansowanych technik komputerowych, wykorzystujących między innymi metodę elementów skończonych. Dotyczy to w szczególności urządzeń związanych z</w:t></w:r><w:r w:rsidR="00D6094A"><w:t> </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t>przemysłem lotniczym. W niniejszej publikacji analizowano drgania poprzeczne koła zębatego wysokoobrotowej przekładni lotniczej, rozważanego jako płyta pierścieniowa o</w:t></w:r><w:r w:rsidR="00CC7174"><w:t> </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:t xml:space="preserve">złożonym kształcie. Omówiono procedurę oznaczania zdeformowanych postaci drgań własnych układu. W procedurze uwzględniono własności wynikające z cyklicznej symetrii układu. Prezentowane wyniki potwierdziły atrakcyjność stosowania technik obliczeniowych, wykorzystujących własności cyklicznej symetrii układu, w analizie drgań złożonych układów </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:lastRenderedPageBreak/><w:t>wirujących. Stosowana technika pozwala w znacznym stopniu ograniczyć liczbę elementów skończonych modelu MES analizowanego układu. Prezentowane w niniejszej pracy zagadnienia mogą być pomocne inżynierom, zajmującym się analizą drgań wirujących układów mechanicznych.</w:t></w:r></w:p><w:p w:rsidR="00D6094A" w:rsidRDefault="00D6094A" w:rsidP="00D6094A"><w:pPr><w:contextualSpacing/><w:jc w:val="both"/></w:pPr></w:p><w:p w:rsidR="00D6094A" w:rsidRPr="00C662EB" w:rsidRDefault="00D6094A" w:rsidP="00D6094A"><w:pPr><w:contextualSpacing/><w:jc w:val="both"/></w:pPr></w:p><w:p w:rsidR="00C662EB" w:rsidRDefault="00D6094A" w:rsidP="00D6094A"><w:pPr><w:pStyle w:val="Literatura"/><w:spacing w:before="0" w:after="0"/><w:contextualSpacing/><w:rPr><w:szCs w:val="24"/></w:rPr></w:pPr><w:r><w:rPr><w:szCs w:val="24"/></w:rPr><w:t>References</w:t></w:r></w:p><w:p w:rsidR="00D6094A" w:rsidRPr="00C662EB" w:rsidRDefault="00D6094A" w:rsidP="00D6094A"><w:pPr><w:pStyle w:val="Literatura"/><w:spacing w:before="0" w:after="0"/><w:contextualSpacing/><w:rPr><w:szCs w:val="24"/></w:rPr></w:pPr></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00D6094A"><w:pPr><w:pStyle w:val="Literaturatre"/><w:contextualSpacing/><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">Bogacz R., </w:t></w:r><w:r w:rsidR="00D6094A"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">S. </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">Noga. </w:t></w:r><w:r w:rsidR="00E70A88" w:rsidRPr="00C662EB"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-GB"/></w:rPr><w:t>2012</w:t></w:r><w:r w:rsidR="00E70A88"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-GB"/></w:rPr><w:t>. “</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-GB"/></w:rPr><w:t>Free transverse vibration analysis of a toothed gear</w:t></w:r><w:r w:rsidR="00E70A88"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-GB"/></w:rPr><w:t>”</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve">. </w:t></w:r><w:r w:rsidRPr="00E70A88"><w:rPr><w:i/><w:szCs w:val="24"/><w:lang w:val="en-GB"/></w:rPr><w:t>Archive of Applied Mechanics</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> 82</w:t></w:r><w:r w:rsidR="00E70A88"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-GB"/></w:rPr><w:t>: 1159-</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-GB"/></w:rPr><w:t>1168.</w:t></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00C662EB" w:rsidP="00D6094A"><w:pPr><w:pStyle w:val="Literaturatre"/><w:contextualSpacing/><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00E70A88"><w:rPr><w:szCs w:val="24"/></w:rPr><w:t>Markowski </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:szCs w:val="24"/><w:lang w:val="fr-FR"/></w:rPr><w:t xml:space="preserve">T., </w:t></w:r><w:r w:rsidR="00E70A88"><w:rPr><w:szCs w:val="24"/><w:lang w:val="fr-FR"/></w:rPr><w:t xml:space="preserve">S. </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:szCs w:val="24"/><w:lang w:val="fr-FR"/></w:rPr><w:t xml:space="preserve">Noga, </w:t></w:r><w:r w:rsidR="00E70A88"><w:rPr><w:szCs w:val="24"/><w:lang w:val="fr-FR"/></w:rPr><w:t xml:space="preserve">S. </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:szCs w:val="24"/><w:lang w:val="fr-FR"/></w:rPr><w:t xml:space="preserve">Rudy. </w:t></w:r><w:r w:rsidR="00E70A88"><w:rPr><w:szCs w:val="24"/><w:lang w:val="fr-FR"/></w:rPr><w:t xml:space="preserve">2011. </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:szCs w:val="24"/><w:lang w:val="fr-FR"/></w:rPr><w:t xml:space="preserve">Modelling and vibration analysis of some complex mechanical systems. </w:t></w:r><w:r w:rsidR="00E70A88"><w:rPr><w:szCs w:val="24"/><w:lang w:val="fr-FR"/></w:rPr><w:t xml:space="preserve">In </w:t></w:r><w:r w:rsidRPr="00E70A88"><w:rPr><w:i/><w:szCs w:val="24"/><w:lang w:val="fr-FR"/></w:rPr><w:t>Recent advances in vibrations</w:t></w:r><w:r w:rsidR="00E70A88" w:rsidRPr="00E70A88"><w:rPr><w:i/><w:szCs w:val="24"/><w:lang w:val="fr-FR"/></w:rPr><w:t xml:space="preserve">, </w:t></w:r><w:r w:rsidR="00E70A88"><w:rPr><w:szCs w:val="24"/><w:lang w:val="fr-FR"/></w:rPr><w:t xml:space="preserve">edited by </w:t></w:r><w:r w:rsidR="00E70A88" w:rsidRPr="00C662EB"><w:rPr><w:szCs w:val="24"/><w:lang w:val="fr-FR"/></w:rPr><w:t>N.</w:t></w:r><w:r w:rsidR="00E70A88"><w:rPr><w:szCs w:val="24"/><w:lang w:val="fr-FR"/></w:rPr><w:t xml:space="preserve"> </w:t></w:r><w:r w:rsidR="00E70A88" w:rsidRPr="00C662EB"><w:rPr><w:szCs w:val="24"/><w:lang w:val="fr-FR"/></w:rPr><w:t>Baddour</w:t></w:r><w:r w:rsidR="00E70A88"><w:rPr><w:szCs w:val="24"/><w:lang w:val="fr-FR"/></w:rPr><w:t xml:space="preserve"> </w:t></w:r><w:r w:rsidR="00E70A88" w:rsidRPr="00C662EB"><w:rPr><w:szCs w:val="24"/><w:lang w:val="fr-FR"/></w:rPr><w:t>(red)</w:t></w:r><w:r w:rsidR="00E70A88"><w:rPr><w:szCs w:val="24"/><w:lang w:val="fr-FR"/></w:rPr><w:t>.</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:szCs w:val="24"/><w:lang w:val="fr-FR"/></w:rPr><w:t xml:space="preserve"> </w:t></w:r><w:r w:rsidR="00E70A88" w:rsidRPr="00C662EB"><w:rPr><w:szCs w:val="24"/><w:lang w:val="fr-FR"/></w:rPr><w:t>Rijeka</w:t></w:r><w:r w:rsidR="00E70A88"><w:rPr><w:szCs w:val="24"/><w:lang w:val="fr-FR"/></w:rPr><w:t>:</w:t></w:r><w:r w:rsidR="00E70A88" w:rsidRPr="00C662EB"><w:rPr><w:szCs w:val="24"/><w:lang w:val="fr-FR"/></w:rPr><w:t xml:space="preserve"> </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:szCs w:val="24"/><w:lang w:val="fr-FR"/></w:rPr><w:t>Intech open access publisher</w:t></w:r><w:r w:rsidR="00E70A88"><w:rPr><w:szCs w:val="24"/><w:lang w:val="fr-FR"/></w:rPr><w:t>.</w:t></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00B1456C" w:rsidRDefault="00C662EB" w:rsidP="00E13BC6"><w:pPr><w:pStyle w:val="Literaturatre"/><w:rPr><w:lang w:val="en-GB"/></w:rPr></w:pPr><w:r w:rsidRPr="00E13BC6"><w:t>N</w:t></w:r><w:r w:rsidR="00B1456C" w:rsidRPr="00E13BC6"><w:t xml:space="preserve">oga </w:t></w:r><w:r w:rsidRPr="00E13BC6"><w:t xml:space="preserve">S. </w:t></w:r><w:r w:rsidR="00B1456C" w:rsidRPr="00E13BC6"><w:t>2008. „</w:t></w:r><w:r w:rsidRPr="00E13BC6"><w:t>Analiza drgań poprzecznych koła zębatego</w:t></w:r><w:r w:rsidR="00B1456C" w:rsidRPr="00E13BC6"><w:t>”</w:t></w:r><w:r w:rsidRPr="00E13BC6"><w:t xml:space="preserve">. </w:t></w:r><w:r w:rsidRPr="00B1456C"><w:rPr><w:i/><w:lang w:val="en-GB"/></w:rPr><w:t>Czasopismo Techniczne Mechanika</w:t></w:r><w:r w:rsidRPr="00B1456C"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> 9–M</w:t></w:r><w:r w:rsidR="00B1456C" w:rsidRPr="00B1456C"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>:</w:t></w:r><w:r w:rsidRPr="00B1456C"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> </w:t></w:r><w:r w:rsidR="00B1456C"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>85-</w:t></w:r><w:r w:rsidRPr="00B1456C"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>94.</w:t></w:r><w:r w:rsidR="00E13BC6"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t xml:space="preserve"> [In Polish: “</w:t></w:r><w:r w:rsidR="00E13BC6" w:rsidRPr="00E13BC6"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-GB"/></w:rPr><w:t>Vibration analysis of transverse gear</w:t></w:r><w:r w:rsidR="00E13BC6"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-GB"/></w:rPr><w:t>”</w:t></w:r><w:r w:rsidR="00E13BC6"><w:rPr><w:lang w:val="en-GB"/></w:rPr><w:t>].</w:t></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00C662EB" w:rsidRDefault="00B1456C" w:rsidP="00D6094A"><w:pPr><w:pStyle w:val="Literaturatre"/><w:contextualSpacing/><w:rPr><w:szCs w:val="24"/></w:rPr></w:pPr><w:r><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t xml:space="preserve">Noga </w:t></w:r><w:r w:rsidR="00C662EB" w:rsidRPr="00C662EB"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t xml:space="preserve">S. </w:t></w:r><w:r><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>2014. “</w:t></w:r><w:r w:rsidR="00C662EB" w:rsidRPr="00C662EB"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>Transverse vibration analysis of a compound plate with using cyclic symmetry modeling</w:t></w:r><w:r><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>”</w:t></w:r><w:r w:rsidR="00C662EB" w:rsidRPr="00C662EB"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t xml:space="preserve">. </w:t></w:r><w:r w:rsidR="00C662EB" w:rsidRPr="00B1456C"><w:rPr><w:i/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>Vibrations in Physical System</w:t></w:r><w:r w:rsidR="00C662EB" w:rsidRPr="00C662EB"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t xml:space="preserve"> </w:t></w:r><w:r w:rsidR="00C662EB" w:rsidRPr="00C662EB"><w:rPr><w:szCs w:val="24"/></w:rPr><w:t>XXVI</w:t></w:r><w:r><w:rPr><w:szCs w:val="24"/></w:rPr><w:t>:</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve"> </w:t></w:r><w:r><w:rPr><w:szCs w:val="24"/></w:rPr><w:t>211-</w:t></w:r><w:r w:rsidR="00C662EB" w:rsidRPr="00C662EB"><w:rPr><w:szCs w:val="24"/></w:rPr><w:t>216.</w:t></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00B1456C" w:rsidRDefault="00C662EB" w:rsidP="00D6094A"><w:pPr><w:pStyle w:val="Literaturatre"/><w:contextualSpacing/><w:rPr><w:szCs w:val="24"/></w:rPr></w:pPr><w:r w:rsidRPr="00C662EB"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>Noga</w:t></w:r><w:r w:rsidR="00B1456C"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t xml:space="preserve"> </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t xml:space="preserve">S., </w:t></w:r><w:r w:rsidR="00B1456C"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t xml:space="preserve">R. </w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t xml:space="preserve">Bogacz. </w:t></w:r><w:r w:rsidR="00B1456C"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>2013. “</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>Algorithm to identify the mode shapes of the circular or annular systems with the discontinuous features</w:t></w:r><w:r w:rsidR="00B1456C"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>”</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t xml:space="preserve">. </w:t></w:r><w:r w:rsidR="00B1456C"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t xml:space="preserve">In </w:t></w:r><w:r w:rsidRPr="00B1456C"><w:rPr><w:i/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>Proceedings of the 20</w:t></w:r><w:r w:rsidRPr="00B1456C"><w:rPr><w:i/><w:szCs w:val="24"/><w:vertAlign w:val="superscript"/><w:lang w:val="en-US"/></w:rPr><w:t> th</w:t></w:r><w:r w:rsidRPr="00B1456C"><w:rPr><w:i/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t xml:space="preserve"> International Conference on Computer Methods in Mechanics</w:t></w:r><w:r w:rsidR="00B1456C"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t xml:space="preserve">. </w:t></w:r><w:r w:rsidR="00B1456C" w:rsidRPr="00B1456C"><w:rPr><w:szCs w:val="24"/></w:rPr><w:t>Poznań, August 27–31, 2013.</w:t></w:r><w:r w:rsidRPr="00B1456C"><w:rPr><w:szCs w:val="24"/></w:rPr><w:t xml:space="preserve"> MS07–5–6.</w:t></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00E13BC6" w:rsidRDefault="00B1456C" w:rsidP="00BC2B3B"><w:pPr><w:pStyle w:val="Literaturatre"/><w:rPr><w:lang w:val="en-US"/></w:rPr></w:pPr><w:r><w:t xml:space="preserve">Noga </w:t></w:r><w:r w:rsidR="00C662EB" w:rsidRPr="00B1456C"><w:t xml:space="preserve">S., </w:t></w:r><w:r><w:t xml:space="preserve">R. </w:t></w:r><w:r w:rsidR="00C662EB" w:rsidRPr="00B1456C"><w:t xml:space="preserve">Bogacz. </w:t></w:r><w:r w:rsidR="00E67598"><w:t xml:space="preserve">2011. </w:t></w:r><w:r><w:t>„</w:t></w:r><w:r w:rsidR="00C662EB" w:rsidRPr="00B1456C"><w:t>Analiza deformacji wybranych postaci drgań własnych koła zębatego</w:t></w:r><w:r><w:t>”</w:t></w:r><w:r w:rsidR="00C662EB" w:rsidRPr="00B1456C"><w:t xml:space="preserve">. </w:t></w:r><w:r w:rsidR="00C662EB" w:rsidRPr="00E13BC6"><w:rPr><w:i/></w:rPr><w:t>Czasopismo Techniczne Mechanika</w:t></w:r><w:r w:rsidRPr="00E13BC6"><w:rPr><w:i/></w:rPr><w:t xml:space="preserve"> </w:t></w:r><w:r w:rsidR="00C662EB" w:rsidRPr="00B1456C"><w:t>2</w:t></w:r><w:r><w:t>(</w:t></w:r><w:r w:rsidR="00C662EB" w:rsidRPr="00C662EB"><w:t>1–M</w:t></w:r><w:r><w:t>):</w:t></w:r><w:r w:rsidR="00C662EB" w:rsidRPr="00C662EB"><w:t xml:space="preserve"> </w:t></w:r><w:r w:rsidR="00E67598"><w:t>155-</w:t></w:r><w:r w:rsidR="00C662EB" w:rsidRPr="00C662EB"><w:t>165.</w:t></w:r><w:r w:rsidR="00E13BC6"><w:t xml:space="preserve"> [In Polish: „</w:t></w:r><w:r w:rsidR="00E13BC6" w:rsidRPr="00E13BC6"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>Analysis of deformation mode shapes selected gear”</w:t></w:r><w:r w:rsidR="00E13BC6" w:rsidRPr="00E13BC6"><w:rPr><w:lang w:val="en-US"/></w:rPr><w:t>].</w:t></w:r></w:p><w:p w:rsidR="00C662EB" w:rsidRPr="00E67598" w:rsidRDefault="00C662EB" w:rsidP="00D6094A"><w:pPr><w:pStyle w:val="Literaturatre"/><w:contextualSpacing/><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr></w:pPr><w:r w:rsidRPr="00E67598"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>Noga</w:t></w:r><w:r w:rsidR="00E67598" w:rsidRPr="00E67598"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t xml:space="preserve"> </w:t></w:r><w:r w:rsidRPr="00E67598"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t xml:space="preserve">S., </w:t></w:r><w:r w:rsidR="00E67598"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t xml:space="preserve">R. </w:t></w:r><w:r w:rsidRPr="00E67598"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t xml:space="preserve">Bogacz, </w:t></w:r><w:r w:rsidR="00E67598"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t xml:space="preserve">K. </w:t></w:r><w:r w:rsidRPr="00E67598"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>Frischmuth</w:t></w:r><w:r w:rsidR="00E67598"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>.</w:t></w:r><w:r w:rsidRPr="00E67598"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t xml:space="preserve"> </w:t></w:r><w:r w:rsidR="00E67598" w:rsidRPr="00E67598"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>2012</w:t></w:r><w:r w:rsidR="00E67598"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>. “</w:t></w:r><w:r w:rsidRPr="00E67598"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>Vibration analysis of toothed gear with cyclic symmetry modelling</w:t></w:r><w:r w:rsidR="00E67598"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>”</w:t></w:r><w:r w:rsidRPr="00E67598"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t xml:space="preserve">. </w:t></w:r><w:r w:rsidRPr="00E67598"><w:rPr><w:i/><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>Vibrations in Physical System</w:t></w:r><w:r w:rsidRPr="00C662EB"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t xml:space="preserve"> </w:t></w:r><w:r w:rsidRPr="00E67598"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>XXV</w:t></w:r><w:r w:rsidR="00E67598"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t xml:space="preserve">: </w:t></w:r><w:r w:rsidRPr="00E67598"><w:rPr><w:szCs w:val="24"/><w:lang w:val="en-US"/></w:rPr><w:t>299</w:t></w:r><w:r w:rsidR="00E67598"><w:rPr><w:szCs w:val="24"/><w:lang 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w:id="0"><w:p w:rsidR="00927A53" w:rsidRDefault="00927A53"><w:r><w:continuationSeparator/></w:r></w:p></w:footnote><w:footnote w:id="1"><w:p w:rsidR="00D52596" w:rsidRPr="0010089C" w:rsidRDefault="00D52596" w:rsidP="008813B1"><w:pPr><w:pStyle w:val="Tekstprzypisudolnego"/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-US"/></w:rPr></w:pPr><w:r><w:rPr><w:rStyle w:val="Odwoanieprzypisudolnego"/></w:rPr><w:footnoteRef/></w:r><w:r w:rsidRPr="002F709E"><w:rPr><w:lang w:val="en-US"/></w:rPr><w:t xml:space="preserve"> </w:t></w:r><w:r w:rsidR="006D4624" w:rsidRPr="006D4624"><w:rPr><w:lang w:val="en-US"/></w:rPr><w:t>Faculty of Mechanical Engineering and Aeronautics, Rzeszow University of Technology, al. Powstańców Warszawy 12, 35-959 Rzeszów, Poland. E-mail: noga@prz.edu.pl</w:t></w:r></w:p></w:footnote><w:footnote w:id="2"><w:p w:rsidR="002F709E" w:rsidRPr="0010089C" w:rsidRDefault="002F709E" w:rsidP="008813B1"><w:pPr><w:pStyle w:val="Tekstprzypisudolnego"/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-US"/></w:rPr></w:pPr><w:r><w:rPr><w:rStyle w:val="Odwoanieprzypisudolnego"/></w:rPr><w:footnoteRef/></w:r><w:r w:rsidRPr="002F709E"><w:rPr><w:lang w:val="en-US"/></w:rPr><w:t xml:space="preserve"> </w:t></w:r><w:r w:rsidR="006D4624" w:rsidRPr="006D4624"><w:rPr><w:lang w:val="en-US"/></w:rPr><w:t>Faculty of Mechanical Engineering and Aeronautics, Rzeszow University of Technology, al. Powstańców Warszawy 12, 35-959 Rzeszów, Poland. E-mail: tmarkow@prz.edu.pl</w:t></w:r></w:p></w:footnote><w:footnote w:id="3"><w:p w:rsidR="006D5519" w:rsidRPr="0010089C" w:rsidRDefault="006D5519" w:rsidP="008813B1"><w:pPr><w:pStyle w:val="Tekstprzypisudolnego"/><w:jc w:val="both"/><w:rPr><w:lang w:val="en-US"/></w:rPr></w:pPr><w:r><w:rPr><w:rStyle w:val="Odwoanieprzypisudolnego"/></w:rPr><w:footnoteRef/></w:r><w:r w:rsidRPr="002F709E"><w:rPr><w:lang w:val="en-US"/></w:rPr><w:t xml:space="preserve"> </w:t></w:r><w:r w:rsidR="006D4624" w:rsidRPr="006D4624"><w:rPr><w:lang w:val="en-US"/></w:rPr><w:t>Faculty of Automotive and Construction Machinery Engineering, Warsaw University of Technology, ul.</w:t></w:r><w:r w:rsidR="006D4624"><w:rPr><w:lang w:val="en-US"/></w:rPr><w:t> </w:t></w:r><w:r w:rsidR="006D4624" w:rsidRPr="006D4624"><w:rPr><w:lang w:val="en-US"/></w:rPr><w:t>Narbutta 84, 02–524 Warsaw, Poland. E-mail: rbogacz@ippt.pan.pl</w:t></w:r></w:p></w:footnote></w:footnotes></pkg:xmlData></pkg:part><pkg:part pkg:name="/word/header2.xml" pkg:contentType="application/vnd.openxmlformats-officedocument.wordprocessingml.header+xml"><pkg:xmlData><w:hdr mc:Ignorable="w14 w15 wp14" xmlns:wpc="http://schemas.microsoft.com/office/word/2010/wordprocessingCanvas" xmlns:mc="http://schemas.openxmlformats.org/markup-compatibility/2006" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:r="http://schemas.openxmlformats.org/officeDocument/2006/relationships" xmlns:m="http://schemas.openxmlformats.org/officeDocument/2006/math" xmlns:v="urn:schemas-microsoft-com:vml" xmlns:wp14="http://schemas.microsoft.com/office/word/2010/wordprocessingDrawing" xmlns:wp="http://schemas.openxmlformats.org/drawingml/2006/wordprocessingDrawing" xmlns:w10="urn:schemas-microsoft-com:office:word" xmlns:w="http://schemas.openxmlformats.org/wordprocessingml/2006/main" 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