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AdvancedResponseSurfaceMethodforMechanical

ReliabilityAnalysis

LΒZhen-zhou,　ZHAOJie,　YUEZhu-feng

(SchoolofAeronautics,NorthwesternPolytechnicalUniversity,

Xi’an710072,P.R.China)

Abstract:Basedontheclassicalresponsesurfacemethod(),aimprovedex2perimentalpoints(EPs)ispresentedforreliabilityinthepre2sentedmethod.OneistheuseoflinearfordeterminingtheRSareselectedtobeclosertotheactualtheapplicationofsequentiallinearinterpolationtocontrolEPsandthecenterEP,bywhichthepresentedRSfitstheactualfailuresurfaceintheregionofmaximumlike2lihoodastotheactualmostprobablepoint(MPP).Sincethefittingpreci2sionofthetotheactualfailuresurfaceinthevicinityoftheMPP,whichhassignificantcontribu2tiontotheprobabilityofthefailuresurfacebeingexceeded,isincreasedbythepresentedmethod,theprecisionofthefailureprobabilitycalculatedbyRSisincreasedaswell.Numericalexamplesillustratetheaccuracyandefficiencyofthepresentedmethod.

Keywords:responsesurfacemethod;implicitlimitstate;failureprobability