摘要
Thispaperdevelopsgeometricnonlinearhybridformulationforflexiblemultibodysystemwithlargedeformationconsideringthermalefect.Diferentfromtheconventionalformulation,theheatfluxisthefunctionoftherotationalangleandtheelasticdeformation,therefore,thecouplingamongthetemperature,thelargeoverallmotionandtheelasticdeformationshouldbetakenintoaccount.Firstly,basedonnonlinearstrain–displacementrelationship,variationaldynamicequationsandheatconductionequationsforaflexiblebeamarederivedbyusingvirtualworkapproach,andthen,LagrangedynamicsequationsandheatconductionequationsofthefirstkindoftheflexiblemultibodysystemareobtainedbyleadingintothevectorsofLagrangemultiplierassociatedwithkinematicandtemperatureconstraintequations.Thisformulationisusedtosimulatethethermalincludedhub-beamsystem.Comparisonoftheresponsebetweenthecoupledsystemandtheuncoupledsystemhasrevealedthethermalchatteringphenomenon.Then,thekeyparametersforstability,includingthemomentofinertiaofthecentralbody,theincidentangle,thedampingratioandtheresponsetimeratio,areanalyzed.Thisformulationisalsousedtosimulateathree-linksystemappliedwithheatflux.Comparisonoftheresultsobtainedbytheproposedformulationwiththoseobtainedbytheapproximatenonlinearmodelandthelinearmodelshowsthesignificanceofconsideringallthenonlineartermsinthestrainincaseoflargedeformation.Atlast,applicabilityoftheapproximatenonlinearmodelandthelinearmodelareclarifiedindetail.
出版日期
2013年05月15日(中国期刊网平台首次上网日期,不代表论文的发表时间)