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 Wysłany: Nie 4:48, 08 Maj 2011 Temat postu: abercrombie milano Multiple degrees of freedom for |
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Multiple degrees of freedom forced vibration of asymmetric piecewise linear systems of Fourier Series Method
Activity Group ed. Mechanical vibration on the books. Beijing : China Machine Press . 198,012 Taniguchi repair. Vibration mechanics ,, y,[link widoczny dla zalogowanych], y evening . Tokyo: Yang Yin- Tang release. 1976: Chapter 9 ,[link widoczny dla zalogowanych], 414FourierSeriesSolutionofForcedVibrationofaMulti ·-Degree ·-of ·-FreedomSystemwithPiecewise-LinearElasticElementsJinJdno (DepartmentofEngineeringMechanics. ShenyangInstituteofAeronauticalEngineeringShenyang, 110034) GuanLizhang (DepartmentofMechanics. CollegeofScience, NorteasternUniversityShenyang, 110006) AbstractInthispaper. theforcedvibrationsinanunsymmetricalpiecewise-linearsystemwithmulti-degree-of-freedomareanalyzedbymeansofamethodutilizingappropriateFourierseriesexpansion. Themainfeaturesofthemethodareasfollows: (1) ExpandingthenonlinearpartoftherestoringforcesintoaFourierserieswiththesameperiodasthegivenexcitationforces. andthen, thenonlinearpartisregardedasanexcitationforceapplied. (2) Obtainingtheformalsolutionbysolvingthelinearizedequation. (3) DeterminingtheunknowncoefficientsoftheFourierexpansionundertheconditionthattheformalsolutionobtainedaboveshouldsatisfythegivenconditionsofthepiecewise-linearcharacteristicsofthesystem. Todeterminethestabilityoftheperiodicsolutionobtained,[link widoczny dla zalogowanych], aperiodregionisdividedintoseveralsubregions, ineachofwhichtheequationofmotionofthesystemislinear. usingthe2Nphaseanglesobtainedintheprocedureofdeterminingtheperiodicsolution. Thismakesthetaskofestablishingthemonodromymatrixverysimple,[link widoczny dla zalogowanych], whichcorrespondstotheperiodicmotion. Keywords: nonlinearvibration; piecewise-linearsystem; forcedvibration; Fourierseriessolution; stabilityofperiodicsolution the first gold -based duo of men . Professor of Health in February 1946 . Phone : (024) 86120536; E-mail: jinjd @ 163. com
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