摘要
Dynamicmodelingofacantileverbeamunderanaxialmovementofitsbasementispresent-ed.ThedynamicequationofmotionforthecantileverbeamisestablishedbyusingKane’sequationfirstandthensimplifiedthroughtheRayleigh-Ritzmethod.Comparedwiththeoldermodelingmethod,whichlineari-zesthegeneralizedinertiaforcesandthegeneralizedactiveforces,thepresentmodehngtakesthecoupledcubicnonlinearitiesofgeometricalandinertialtypesintoconsideration.Themethodofmultiplescalesisusedtodirectlysolvethenonlineardifferentialequationsandtoderivethenonlinearmodulationequationfortheprincipalparametricresonance.Theresultsshowthatthenonlinearinertiatermsproduceasofteningeffectandplayasignificantroleintheplanarresponseofthesecondmodeandthehigherones.Ontheotherhand,thenonlineargeometrictermsproduceahardeningeffectanddominatetheplanarresponseofthefirstmode.Thevalidityofthepresentmodelingisclarifiedthroughthecomparisonsofitscoefficientswiththoseexperimentallyverifiedinpreviousstudies.
出版日期
2002年02月12日（中国期刊网平台首次上网日期，不代表论文的发表时间）
