Evaluation of response surface methodologies used in crashworthiness optimization

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1、ARTICLEINPRESSInternationalJournalofImpactEngineering32(2006)759–777www.elsevier.com/locate/ijimpengEvaluationofresponsesurfacemethodologiesusedincrashworthinessoptimizationJ.Forsberg,L.NilssonDivisionofSolidMechanics,LinkopingsUniversity,S-58183Linkoping,SwedenReceived18October2004;receivedinrevis

2、edform27January2005;accepted30January2005Availableonline18April2005AbstractOptimizationofcarstructuresisofgreatinteresttotheautomotiveindustry.Thisworkisconcernedwithstructuraloptimizationofacarbodywiththeintenttoincreasethecrashworthinesspropertiesofthevehicleordecreaseweightwiththecrashworthinessp

3、ropertiesunaffected.Inthisworktwodifferentmethodologiesofconstructinganintermediateapproximationtotheoptimizationproblemareinvestigated,i.e.classicalresponsesurfacemethodologyandKriging.Themajordifferencebetweenthetwomethodologiesishowtheresidualsbetweenthetruefunctionvalueandthepolynomialsurfaceapp

4、roximationvalueatadesignpointaretreated.Severaldifferentoptimizationproblemshavebeeninvestigated,bothanalyticalproblemsaswellasfiniteelementimpactproblems.ThemajorconclusionisthatevenifthesamekindofupdatingschemeisusedbothforKrigingandlinearclassicresponsesurfacemethodology,Krigingimprovesthesequenti

5、albehaviouroftheoptimizationalgorithminthebeginningoftheoptimizationprocess.Problemsmayoccurifaconstraintisviolatedafterseveraliterationsandthenclassicresponsesurfacemethodologyseemstomoreeasilybeabletofindadesignpointwhichsatisfiestheconstraint.r2005ElsevierLtd.Allrightsreserved.Keywords:RSM;Kriging;

6、LS-DYNA;CrashworthinessoptimizationCorrespondingauthor.E-mailaddress:jimfo@ikp.liu.se(J.Forsberg).0734-743X/$-seefrontmatterr2005ElsevierLtd.Allrightsreserved.doi:10.1016/j.ijimpeng.2005.01.007ARTICLEINPRESS760J.Forsberg,L.Nilsson/InternationalJournalofImpactEngineering32(2006)7597771.IntroductionT

7、hecrashworthinessofacaristodayofgreatimportancefortheautomotiveindustry.Therearedifferentinstituteswhichperformscrashworthinessevaluationsandagoodratingisexcellentpublicityandastrongargumentforthemark