Exact geometry based quasi-conforming analysis for Euler-Bernoulli beam

(整期优先)网络出版时间:2012-05-15
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TheproblemofquickanalysisusingexactgeometrydatawasproposedbyHughesetal.andtheisogeometricanalysisframeworkwasintroducedasasolution.Inthisletter,theexactgeometryconceptiscombinedintothequasi-conformingframeworkandanovelmethod,i.e.,theexactgeometrybasedquasi-conforminganalysisisproposed.Inpresentmethodthegeometryisexactlydescribedbynon-uniformrationalB-splinebases,whilethesolutionspacebytraditionalpolynomialbases.Presentmethodcombinesthemeritsofbothisogeometricanalysisandquasi-conformingfiniteelementmethod.InthisletterEuler-Bernoullibeamproblemissolvedasanexampleandtheresultsshowthatthepresentmethodiseffectiveandpromising.