随机有限元法及在火炮内筒可靠性设计中的应用

UDC200412004220042AThesisinMechanicalDesignandTheoryProbabilisticFiniteElementMethodandItsApplicationinCannonInsideCanisterReliabilityDesignByHeEnshanSupervisor:ProfessorSunZhiliNortheasternUniversityFebruary2004III```TSFEMPSFEMTaylorTSFEMPSFEMTaylorTSFEMPSFEMRSFEMANSYSIIIPro/EANSYSTaylorABSTRACTIVProbabilisticFiniteElementMethodandItsApplicationincannoninsidecanisterReliabilityDesignAbstractReliabilityisanabilityofproductforcompletingasetfunctioninasettimeandasetrequirement.Withtheprocessanddevelopmentofsociety,moreandmoreattentionispaidtothereliabilityofproducts.Probabilisticfiniteelementmethodbasedonfiniteelementmethoddescribespracticalrandomfactorswithrandomvariablesorrandomprocesses,whichisaccessibletopracticalproblems.Themainadvantageofreliabilitytheorybasedonprobabilityistoconsiderobjectivevariationoffactorsthataffectthereliabilityofstructuresandparts,andprobabilisticfiniteelementmethodbasedonprobabilityisalsoabletocalculatestatisticsofstressinthestructure’sstrengthreliability.Probabilisticfiniteelementmethodisusedinpracticalprojectsandhaspowerfulvitalityandwideapplicationinfuture.Thisresearchhasnotmoreimportanttheoryvalue,butalsomoreimportantpracticalapplicationvalue.Accordingtothepresentsituation,thispapergivesasystematicalandcomprehensivereviewandevaluationtoprobabilisticfiniteelementmethod,consideringtheload’sandthematerialcharacter’sprobabilisticcharacter.Andcomparesthedifferencesofthepresentalgorithmsofprobabilisticfiniteelementmethodandthemethodstorealize.Thenuseanewmethodthatisrespondssurfacefiniteelementmethod(RSFEM)todealwiththereliabilityquestion.TheProbabilisticFiniteElementMethoddifferingfromother’sfiniteelementmethod,itsdifficultyistocalculatetherandomvariable’snegativematrix.BasedonPSFEM,TSFEMandRSFEM,thispaperprovidesamethodthatcombinesthesoftwareANSYSandthecommonprogramswithself-editedprogramstogetstressandthestrain,thenusetheresulttocalculatethereliability.ABSTRACTVThepaperuseOOPtechniquecombinethesoftwarePro/EandANSYS,developthesystem,whichcalculatethereliabilityofpart,namedProbabilisticFEMReliabilityDesignSystem.Keywordsreliability,randomvariables,probabilisticFEM,PSFEM,TSFEM,responsesurfaceanalysisVI.............................................................................................................................I............................................................................................................................IIAbstract........................................................................................................................IV...............................................................................................................11.1.................................................................................................11.1.1...............................................................................11.1.2...................................................................................21.1.3...................................................................31.1.4...........................................................................51.2.................................................................................71.2.1...............................................................................................71.2.2...................................................................71.3.....................................................................91.3.1...............................................91.3.2.......................91.4...........................................................................10.....................................................................122.1...................................................................................................................122.2...................................................................122.2.1.........................................................122.2.2.........................................................142.3...........................................................................................172.3.1.............................................................................172.3.2.............................................................................182.4...........................................................................182.4.1(PSFEM)..................................................................182.4.2Taylor(TSFEM).......................................................192.4.3(RSA)...................................................................21...................................................................243.1...................................................................................................................24VII3.2...............................................................................................243.2.1.....................................................243.2.2.............................................................243.3..........................