DIRECT SPECTURM ANALYSIS OF THE STATE SPACE FOR RANDOM VIBRATION OF MDOF LINEAR DAMPED SYSTEM-中国期刊网

摘要 Thispaperproceedsfromthegeneralcaseoftheunsymmetriclinearizedmulti-degreesoffree-dom(MDOF)systems.Byadoptingthegeneralcomplexmodaltheoryofthestatespace,theresponseanalysisforasys-temsubjectedtorandomexcitationofthesamesourceiscarriedoutusingasakindofdirectspectrumanalysismethodinfrequencydomain.Withtheinputofpowerspectraldensityfunctiongiven,theexplicitexpressionofthepowerspectraldensityfunctionmatrixoftheoutputresponsecanbeobtained.BytakingFourierinversetransform,theintegratedexpres-sionsofthecorrelationfunctionmatrixandofthespectrummomentmatrixareobtained.Comparingwiththetimedomainmethod,thismethodenjoysthemeritofvisualizationandavoidstheprocedureoftransformationfromtheobtainedre-sponsecorrelationfunctiontobesolvedfortheoutputspectrumutilizingFouriertransform.Thispaperhasextendedtheapplicationrangeofthetraditionalfrequencydomainanalysismethod.Themeansquarevaluesandvarietyofstatisticalval-uescanbeobtainedconveniently.Thismethodandthetimedomainmethodaredifferentinapproachbutequallysatisfac-toryintheirresults.

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DIRECT SPECTURM ANALYSIS OF THE STATE SPACE FOR RANDOM VIBRATION OF MDOF LINEAR DAMPED SYSTEM

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DIRECT SPECTURM ANALYSIS OF THE STATE SPACE FOR RANDOM VIBRATION OF MDOF LINEAR DAMPED SYSTEM

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