简介：Thenon-probabilisticreliabilityinhigherdimensionalsituationscannotbecalculatedefficientlyusingtraditionalmethods,whicheitherrequirealargeamountofcalculationorcausesignificanterror.Inthisstudy,anefficientcomputationalmethodisproposedforthecalculationofnon-probabilisticreliabilitybasedonthevolumeratiotheory,specificallyforlinearstructuralsystems.Thecommonexpressionfornon-probabilisticreliabilityisobtainedthroughformuladerivationwiththeamountofcomputationconsiderablyreduced.Thecompatibilitybetweennon-probabilisticandprobabilisticsafetymeasuresisdemonstratedthroughtheMonteCarlosimulation.Thehighefficiencyofthepresentedmethodisverifiedbyseveralnumericalexamples.

简介：Anewcomputationschemeproposedtotacklecommensurateproblemsisdevelopedbymodifyingthesemi-analyticapproachforminimizingcomputationalcomplexity.Usingtheproposedscheme,thelimitstateequations,usuallyreferredtoasthefailuresurface,areobtainedfromtransformationofanintervalvariabletoanormalizedone.Inordertominimizethecomputationalcost,twoalgorithmsforoptimizingthecalculationstepshavebeenproposed.Themonotonicityoftheobjectivefunctioncanbedeterminedfromnarrowingthescopeofintervalvariablesinnormalizedinfinitespacebyincorporatingthealgorithmsintothecomputationalscheme.Twoexamplesareusedtoillustratetheoperationandcomputationalefficiencyoftheapproach.Theresultsoftheseexamplesshowthattheproposedalgorithmscangreatlyreducethecomputationcomplexitywithoutsacrificingthecomputationalaccuracy.Theadvantageoftheproposedschemecanbeevenmoreefficientforanalyzingsophisticstructures.

简介：TheKarhunen-Loeve(KL)expansionandprobabilisticcollocationmethod(PCM)arecombinedandappliedtoanuncertaintyanalysisofrockfailurebehaviorbyintegratingaselfdevelopednumericalmethod(i.e.,theelastic-plasticcellularautomaton(EPCA)).TheresultsfromthemethoddevelopedarecomparedusingtheMonteCarloSimulation(MCS)method.ItisconcludedthatthemethoddevelopedrequiresfewercollocationsthanMCSmethodtoobtainveryhighaccuracyandgreatlyreducesthecomputationalcost.Basedonthemethod,theelastoplasticandelasto-brittle-plasticanalysesofrocksundermechanicalloadingsareconductedtostudytheuncertaintyinheterogeneousrockfailurebehaviour.