Stochastic_response_surface_method_for_reliability_analysis_of_rock_slopes.pdf

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1、ComputersandGeotechnics38(2011)58–68ContentslistsavailableatScienceDirectComputersandGeotechnicsjournalhomepage:www.elsevier.com/locate/compgeoStochasticresponsesurfacemethodforreliabilityanalysisofrockslopesinvolvingcorrelatednon-normalvariablesDianqingLi⇑,YifengChen,WenboLu,Chuan

2、gbingZhouStateKeyLaboratoryofWaterResourcesandHydropowerEngineeringScience,WuhanUniversity,8DonghuSouthRoad,Wuhan430072,PRChinaKeyLaboratoryofRockMechanicsinHydraulicStructuralEngineering,MinistryofEducation,WuhanUniversity,8DonghuSouthRoad,Wuhan430072,PRChinaarticleinfoabstractArt

3、iclehistory:ThispaperproposesastochasticresponsesurfacemethodforreliabilityanalysisinvolvingcorrelatedReceived5July2010non-normalrandomvariables,inwhichtheNataftransformationisadoptedtoeffectivelytransformReceivedinrevisedform19October2010thecorrelatednon-normalvariablesintoindepen

4、dentstandardnormalvariables.Transformationsofran-Accepted19October2010domvariablesthatareoftenusedinreliabilityanalysesintermsofstandardnormalvariablesaresum-Availableonline16November2010marized.Theclosed-formexpressionsforfourthtosixthorderHermitepolynomialchaosexpansionsinvolving

5、anynumberofrandomvariablesareformulated.TheproposedmethodwillsubstantiallyKeywords:extendtheapplicationofstochasticresponsesurfacemethodforreliabilityproblems.Anexampleofreli-SlopestabilityabilityanalysisofrockslopestabilitywithplanefailureispresentedtodemonstratethevalidityandStoc

6、hasticresponsesurfacemethodPolynomialchaoscapabilityoftheproposedstochasticresponsesurfacemethod.Theresultsindicatethattheproposedsto-ProbabilisticcollocationchasticresponsesurfacemethodcanevaluatethereliabilityofrockslopestabilityinvolvingcorrelatedCorrelatednon-normalrandomvariab

7、lesnon-normalvariablesaccuratelyandefficiently.Itsaccuracyisshowntobehigherthanthatforthefirst-orderreliabilitymethod,anditismuchmoreefficientthandirectMonte-Carlosimulation.TheresultsalsoshowthatthenumberofcollocationpointsselectedshouldensurethattheHermitepolyno-mialmatrixhasafullra

8、nksothatdifferentorderSRSM