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1、ProbabilisticEngineeringMechanics14(1999)73±81Aloadspaceformulationforprobabilistic®niteelementanalysisofstructuralreliabilityX.L.Guan*,R.E.MelchersDepartmentofCivil,SurveyingandEnvironmentalEngineering,TheUniversityofNewcastle,Callaghan,NSW2308,AustraliaAbstractAloadspac
2、eformulationforcalculatingthefailureprobabilityofcomplexstructuresforwhichthelimitstatefunctionsareimplicitisdescribedinthispaper.Thisformulationisusedinconjunctionwithprobabilistic®niteelement(PEE)analysisandemploysadirectionalsimulationtocalculatethestructuralreliabilit
3、y.Apartfromtheadvantagethatalowerorderspaceisused,themainadvantageoftheloadspaceformulationproposedinthispaperisthatthenumberofinversionsofthestructuralstiffnessmatrixand/oritsgradientswithrespecttothematerialpropertyrandomvariablesisreduceddramaticallywhencomparedwiththe
4、usualMonteCarlosimulation(MCS)method.Whenusedina®niteelementreliabilityanalysis,thisprocedurecansavesigni®cantamountsofCPUtime.Numericalexamplesarepresentedtoshowtheef®ciencyandaccuracyoftheproposedapproach.q1998ElsevierScienceLtd.Allrightsreserved.1.Introductioncostly.To
5、reducethetotalCPUtime,severalalternativemethodshavebeenproposed.Theseincludethe®rst-orderInstructuralreliabilityanalysis,themodellingofthesecond-moment(FORM)method[4,10,22],theresponsestructuralmechanicstoasuf®cientdegreeofre®nementissurface(RS)method[2,5,12,17],thetangen
6、t-multi-plane-equallyasimportantasthedeterminationofstructuralfail-surface(TMPS)method[6],andtheinterior-multi-plane-ureprobabilities.Ideally,structuralmechanicsmodellingsurface(IMPS)method[7].However,eachoftheseshouldinvolveastate-of-the-artmethodofstructuralanaly-method
7、shaslimitations.Inthepresentpaper,acomputa-sis,suchas®niteelementtechniques.When®niteelementtionalapproachbasedontheuseofloadspaceformulationtechniquesareusedinareliabilityanalysis,theyareusuallyisproposed,anditisusedinconjunctionwithPFEanalysisreferredtoasprobabilistic®n
8、iteelement(PFE)techniques.toestimatethestructuralfailureprobability.TheloadspaceThisisbecausethe
