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1、Comput.MethodsAppl.Mech.Engrg.195(2006)6925–6941www.elsevier.com/locate/cmaDevelopmentofnonlinearelasticleafspringmodelformultibodyvehiclesystemsaa,*bcHiroyukiSugiyama,AhmedA.Shabana,MohamedA.Omar,Wei-YiLohaDepartmentofMechanicalandIndustrialEngineering,
2、UniversityofIllinoisatChicago,842WestTaylorStreet,Chicago,IL60607,UnitedStatesbCaterpillarInc.,TechnicalCenterBldgE,P.O.Box1875,Peoria,IL61656-1875,UnitedStatescFordMotorCompany,2101VillageRd.,Dearborn,MI48121-2053,UnitedStatesReceived22September2004;rec
3、eivedinrevisedform7February2005;accepted7February2005AbstractInthisinvestigation,anonlinearelasticmodelofleafspringsisdevelopedforuseinthecomputersimulationofmultibodyvehiclesystems.Intheleafspringmodeldevelopedinthisinvestigation,thedistributedinertiaan
4、dstiffnessoftheleavesofthespringaremod-eledusingthefiniteelementfloatingframeofreferenceformulationthataccountsfortheeffectofthenonlineardynamiccouplingbetweenthefiniterotationsandtheleafdeformation.Theleafspringgeometryanddeformationsaremodeledusingnodaldegr
5、eesoffreedomdefinedwithrespecttothespringbodycoordinatesystem.Byassumingthattheleafdeformationcanbelargebuttheleafdeformedshaperemainssimple,componentmodesynthesistechniquescanbeusedtosignificantlyreducethenumberofdeformationcoordinates.Thenonlinearstiffnes
6、smatrixisfirstdevelopedforthefiniteelementofeachleafandisusedtodeterminetheoverallleafspringstiffnessmatrix.Thepre-stresses,thecontactandfrictionthatcharacterizethenonlinearbehaviorofleafspringsarediscussed.Usingthenonlinearleafspringformulationpresentedint
7、hisstudy,adetailedmultibodymodelforasportutilityvehicleisdeveloped.Itisshownthattheproposedleafspringmodelthataccountsfortheeffectofwindup,contactandfrictionbetweenthespringleavescanbeeffectivelyusedforassessingthedynamicstabilityofsportsutilityvehicles.Ó2
8、005ElsevierB.V.Allrightsreserved.Keywords:Leafsprings;Nonlinearelasticmodels;Vehiclesystems1.IntroductionThereisanincreasingawarenessregardinghighwaytrafficsafetyandautomobilerolloveraccidentsinvolvingsportuti-lityvehicles(S
