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结构模糊随机可靠度的计算方法(英文).docx

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结构模糊随机可靠度的计算方法(英文) Title:CalculationMethodsforFuzzy,Random,andReliabilityAnalysisofStructures Abstract: Structuralreliabilityanalysisplaysacrucialroleinthedesignandassessmentofengineeringstructures.However,traditionalreliabilityanalysismethodsoftenassumethatstructuralparametersaredeterministicandthatuncertaintiesareonlypresentininputvariables.Withtheadvancementofengineeringtechnology,ithasbecomeapparentthatuncertaintiescanexistnotonlyininputdatabutalsoinstructuralparametersthemselves,andtheseuncertaintiescanbecharacterizedusingvariousuncertaintymodels.Thispaperaimstoexplorethecalculationmethodsforanalyzingstructureswithfuzzy,random,andcombinedfuzziness-randomnessuncertainties,anddiscussestheirapplicationsinestimatingstructuralreliability. 1.Introduction Reliabilityanalysisisessentialforevaluatingtheperformanceofstructuresundervariousconditions.Traditionalmethods,suchasthefirst-ordersecond-momentmethod(FOSM)andMonteCarlosimulation(MCS),assumethatstructuralparametersaredeterministic.However,inreal-worldscenarios,uncertaintiesinstructuralparameterscannotbeignored.Theemergingfieldoffuzzyreliabilityanalysishasproposedmethodstoaccountforfuzzinessinstructuralparameters.Thispaperexplorestheintegrationoffuzzy,random,andcombineduncertaintiesinreliabilityanalysis,withafocusonadvancedcalculationmethods. 2.FuzzyReliabilityAnalysis Fuzzysetstheoryprovidesarobustframeworktohandleuncertainandimpreciseinformation.Fuzzyreliabilityanalysisconsidersfuzzyvariablesandfuzzyquantitiestoquantifyuncertaintiesinstructuralparameters.Variousapproacheshavebeendeveloped,includingpossibilitytheory,convexmodel,andcredibilitytheory.Thissectionprovidesanoverviewofthesemethodsandtheirapplicationsinstructuralreliabilityanalysis. 3.RandomReliabilityAnalysis Randomvariabilityinstructuralparameterscanbemodeledusingprobabilitydistributions.Thesectiondiscussesdifferentapproachesformodelingrandomvariables,suchasthenormaldistributionandthelog-normaldistribution.Italsointroducesthereliabilityindexmethod,import