摘要
Contact-impactprocessesoccuratmostcasesinmultibodysystems.Sub-periodsandsub-regionalmethodsarefrequentlyusedrecently,anddifferentcoordinatesareintroducedinbothoftheapproaches.However,thesub-regionalmethodseemstobemoreeffective.Floatingframeofreferenceformulationiswidelyusedforcontacttreatment,whichdescribesdisplacementsbytherigidbodymotionandasmallsuperposeddeformation,andthecoordinatesdepictingthedeformationincludefiniteelementnodalcoordinatesandmodalcoordinates,theformerdealswiththecontact/impactregion,andthelaterdescribesthenon-contactregion.Inthispaper,freeinterfacesubstructuremethodisusedinmodeling,andthedynamicequationofasinglebodyisderived.Then,usingtheLagrangeequationofthefirstkind,thedynamicequationsofmultibodysystemsareestablished.Furthermore,contact-impactareasaretreatedthroughadditionalconstraintequationsandLagrangemultipliers.Usingsuchapproach,thenumberofsystemcoordinatesandthedimensionsofmassmatrixaresignificantlyreducedwiththemodaltruncation,thereforebothoftheefficiencyandaccuracyareguaranteed.Finiteelementmethodinthelocalcontactregioncandealwithcontact/impactbetweenarbitrarilycomplexinterfaces,whereas,additionalcontactconstraintsusedinthenodaldescriptionregioncanavoidthecustomizedparametersthatareusedinthecontinuousforcemodel.
出版日期
2013年01月11日（中国Betway体育网页登陆平台首次上网日期，不代表论文的发表时间）
