风与轨道不平顺随机激励下车辆-轨道系统耦合振动的概率密度演化分析

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关键词：车辆-轨道耦合系统；概率密度演化理论；筛选半径；横风；轨道不平顺 中图分类号：U441 文献标志码：A DOI：10.16385/j.cnki.issn.1004-4523.202309019

Abstract：Basedonthetrain-trackcouplingdynamicsandprobabilitydensityevolutiontheory，arandomvibrationmodeloftrain tracksystemconsideringboththecrosswndandtrackiregularityisstablised.TheNdimensionalhypercubepointsetisusedto generate thediscreterandomfrequencyandphaserepresentative pointset.Based ontherandom harmonic functionmethod and the harmonicsuperpositionmethod，therandomtrackiregularityexcitationsamplesandthewindspeedtie-historysamplesarsimu latedrespectively.Theobtainedtworandomexcitationsare introducedintothetrain-trackcouplingsystem tootaintherepesentativeresponses.Theprobabilitydensityevolutionequationofrepresentativeresponseissolvedusingthebilateraldiferencemethod toobtainthe time-varying probabilitydensityevolutiondistributionofthevibrationresponse.TheMonteCarlomethod（MCM）is employedtoverifythecomputationaleficiencyandacuracyoftheproposedmodel.Theresultsindicatethat theprobabilitydensi ty evolution method（PDEM）isappliable totherandom analysisofvehicle-track systemunderdoublerandom excitations including crosswindandtrack iregularityWhenthenumberofrepresentativesamplepointsis3OOandthescreeningradiusis17.7agood calculatioresultscanbeobtainedbytheproposed modelinthispaper.Therandomresponseanalysisregardingasinglerandominputcannotexpressanaccurateresultofthevehicle-track system’srandomdynamiccharacteristic，whichindicates therequiredconsideratioofbothrandomexcitationsofcrossindandtrackiregularityintherandomvibrationanalysisofvehicle-track system.

Keywords：vehicle-trackcouplingsystem；probabilitydensityevolutiontheory;screeningradius；crosswind;trackirregularity

列车在运行过程中会受到多种因素的影响，极端运营环境会威胁列车的运行安全性。（剩余15384字）