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ID:40022604
大小:895.58 KB
页数:13页
时间:2019-07-17
《83_The hierarchical concept in finite element analysis》由会员上传分享,免费在线阅读,更多相关内容在学术论文-天天文库。
1、Coraputt'rs&Structure~Voi16.NuI--4.pp.53--65,19830045-7949!83{010053--13503.00/0PrintedinGreatBritainPergamonPressLtdTHEHIERARCHICALCONCEPTINFINITEELEMENTANALYSISO.C.ZIENKIEWlCZ,J,P.DES.R.GAGOandD.W.KELLYDepartmentofCivilEngineering,UniversityCollegeofSwa
2、nsea,SingletonPark,SwanseaSA28PP,WalesAbstract--Thehierarchicalconceptforfiniteelementshapefunctionswasintroducedmanyyearsagoasaconvenientdeviceformixedorderinterpolation.Itsfulladvantageshavenotbeenrealizeduntilamuchlatertime--andtheseincludeinaddition(a
3、)improvedconditioning;(b)easeofintroducingerrorindicatorsifsuccessiverefinementissought.Further,itispossibletousetheideastoconstructarangeoferrorestimatorswhichcomparewellwithalternativesandareideallysuitedforadaptiverefinementsofanalysis.Asthehierarchica
4、lelementsareequallysimpletoimplementas"standard"fixedorderelementsitisfeltthatmoreprogramswill.inthefurore,turntoutilizetheiradvantages.Thisisespeciallytrueinthefieldofnonlinearanalysiswhereeventodaycomputationaleconomiesarenecessary.INTRODUCTIONFourierse
5、riesexpansion.HereasnewtermsarecalledDespitethewideusageoffiniteelementstodaylittletheprevioustermsremainunalteredandasingletermisattentionhasbeengiventotheproblemofestimatingintroducedatatime,therefinementceasingwhentheerrorsoccurringintheanalysisandtoco
6、rrectingtheseaccuracyofsolutionisdeemedsufficient.errorsbyautomaticrefinement.TheseaspectsoftheWhythedifferencebetweenthetwoapproacheswhenproblemsareofobviousimportanceifintelligentuseofweareallawarethatboththefiniteelementprocessprogramsistobemadeinengin
7、eeringpractice.ANDtheseriessolutionsaremathematicallypreciselyofIntypicalapplicationtodaytheexperiencedanalystdecidesonthemeshofelementstobeusedandgeneratestheinformationnecessaryautomatically[l-3].Indistributinghisnodesheisguidedby(1)Previoussolutionswhi
8、chgavesatisfactoryans-werswhentestedagainstbenchmarkproblems.(2)Guidelinesgeneratedbypreviousinvestigationsintomesh"optimality"towhichmuchattentionhasbeengiveninthepast[4--8].//IWhenpresentedwiththecomputeroutputaqu
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