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基于拟动力法的三维边坡稳定性概率分析(英文) ProbabilisticAnalysisofThree-dimensionalSlopeStabilitybasedonPseudo-DynamicMethod Abstract: Three-dimensionalslopestabilityanalysisplaysacrucialroleingeotechnicalengineeringprojects.Conventionaldeterministicmethodsoftenoversimplifythecomplexbehaviorofslopes,leadingtoinaccuratepredictions.Inordertoassesstheuncertaintyofslopestability,aprobabilisticanalysismethodbasedonthepseudo-dynamicapproachisproposed.Thispaperaimstoexploretheimplementationandbenefitsoftheprobabilisticanalysisofthree-dimensionalslopestabilityusingthepseudo-dynamicmethod. 1.Introduction Slopestabilityisacriticalconsiderationingeotechnicalengineering.Deterministicmethodsarecommonlyusedtoanalyzeslopestability,buttheyfailtoaccountfortheuncertaintiesassociatedwithsoilproperties,boundaryconditions,andotherfactors.Thepseudo-dynamicmethodoffersaprobabilisticapproachtoanalyzethestabilityofthree-dimensionalslopesandevaluatetheinfluenceofuncertainparametersonslopebehavior. 2.Methodology Themethodologyfortheprobabilisticanalysisofthree-dimensionalslopestabilitybasedonthepseudo-dynamicmethodconsistsofthreemainsteps:establishmentofaprobabilisticmodel,numericalanalysis,andreliabilityanalysis. 2.1ProbabilisticModel Thefirststepistoestablishaprobabilisticmodelthatconsiderstheuncertaintiesassociatedwithsoilproperties,slopegeometry,andotherinfluentialfactors.TheMonteCarlosimulationtechniqueiscommonlyusedtogenerateasetofrandomvariablesfortheuncertainparameters.Probabilitydistributionsareassignedtoeachparameterbasedonfieldinvestigationdataorexpertjudgment. 2.2NumericalAnalysis Inthisstep,thepseudo-dynamicmethodisusedtoanalyzethestabilityofthree-dimensionalslopesundervariousloadingconditions.Thefiniteelementmethodisemployedtodiscretizeandmodeltheslopegeometry.Thedynamicresponseoftheslopeisapproximatedbyapplyingaseriesofequivalentstaticloads.Thecriticalslipsurfaceandfactorofsafetyaredeterminedbasedonthepseudo-staticanalysis. 2.3ReliabilityAnalysis Reliabilityanalysisisperformedtoassesstheprobabilit