摘要
Thispaperdealswiththecapabilitiesoflinearandnonlinearbeamtheoriesinpredictingthedynamicresponseofanelasticallysupportedthinbeamtraversedbyamovingmass.Tothisend,thediscreteequationsofmotionaredevelopedbasedonLagrange’sequationsviareproducingkernelparticlemethod(RKPM).Foraparticularcaseofasimplysupportedbeam,GalerkinmethodisalsoemployedtoverifytheresultsobtainedbyRKPM,andareasonablygoodagreementisachieved.Variationsofthemaximumdynamicdeflectionandbendingmomentassociatedwiththelinearandnonlinearbeamtheoriesareinvestigatedintermsofmovingmassweightandvelocityforvariousbeamboundaryconditions.Itisdemonstratedthatformajorityofthemovingmassvelocities,thedifferencesbetweentheresultsoflinearandnonlinearanalysesbecomeremarkableasthemovingmassweightincreases,particularlyforhighlevelsofmovingmassvelocity.Exceptforthecantileverbeam,thenonlinearbeamtheorypredictshigherpossibilityofmovingmassseparationfromthebasebeamcomparedtothelinearone.Furthermore,theaccuracylevelsofthelinearbeamtheoryaredeterminedforthinbeamsunderlargedeflectionsandsmallrotationsasafunctionofmovingmassweightandvelocityinvariousboundaryconditions.
出版日期
2012年01月11日（中国期刊网平台首次上网日期，不代表论文的发表时间）
