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时间:2020-04-28
《基于观点法的谱随机有限元分析——随机响应面法.pdf》由会员上传分享,免费在线阅读,更多相关内容在应用文档-天天文库。
1、第24卷第2期计算力学学报VoI.24,No.22007年4月ChineseJournalofComputationalMechanicsApriI2007文章编号:1007-4708(2007)02-0173-08Acollocation-basedspectralstochasticfiniteelementanalysisstochasticresponsesurfaceapproachHUANGShu-ping(DepartmentofCiviIEngineering,ShanghaiJiaotongUniversity,Shanghai200240,China)Ab
2、stract:AcoIIocation-basedstochasticfiniteeIementmethod(SRSM)hasbeendeveIoped,theformaIismofthepro-posedmethodissimiIartothespectraIstochasticfiniteeIementmethod(SSFEM)inthesensethatbothofthemutiIizeKarhunen-loeve(K-l)expansiontorepresenttheinput,andpoIynomiaIchaosexpansiontorepresenttheoutp
3、ut.How-ever,thecaIcuIationofthecoefficientsinthepoIynomiaIchaosexpansionisdifferent:AnaIyticaISSFEMusesaprobabi-IisticGaIerkinapproachwhiIeSRSMusesaprobabiIisticcoIIocationapproach.NumericaIexampIeshowsthatcomparedtotheAnaIyticaISSFEM,theadvantageofSRSMisthatthefiniteeIementcodecanbetreated
4、asabIackbox,asinthecaseofacommerciaIcode.TheproposedSRSMisaIsocomparedtoabIackboxversionSSFEM,andfoundtoreguireIessFEMevaIuationsforthesameaccuracy.ThecoIIocationpointsintheproposedmethodneedtobeseIectedformini-mizingthemeansguareerror,andfromhighprobabiIityregions,thusIeadingtofewerfunctio
5、nevaIuationsforhighaccu-racy.Keywords:stochasticfiniteeIements;stochasticresponsesurface;randomfieIds;Karhunen-loeveexpansion;poIyno-miaIchaosexpansionofrandomvariabIesintowhichacontinuousrandom1IntroductionfieIdisreducedbydiscretization.StochasticfiniteeI-ProbabiIisticuncertaintypropagatio
6、nmethodsareementmethodssuchasperturbationandNeumannex-appIiedintheanaIysisofphysicaIsystemsinorderto[2]pansionworkweIIwhenthevariabiIityisnotIarge.guantifytheeffectsofrandomvariationintheinputonThespectraIstochasticfiniteeIementmethod(SS-thepredictedoutputofthesimuIation.Thesemethods[1]FEM)
7、deveIopedbyGhanemandSpanosappearstoincIudeMonteCarIosimuIation,stochasticfiniteeIe-[1][2]beasuitabIetechnigueforthesoIutionofcompIex,mentandresponsesurfacemethods.TheseIec-tionofthemethoddependsonthenatureofmodeIgeneraIprobIemsinprobabiIisticmechanics.It
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