A MESHLESS METHOD OF A THIN PLATE

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摘要 AmeshlessapproachtoanalysisofarbitraryKirchhoffplatesbythelocalboundaryintegralequation(LBIE)methodispresented.Themethodcombinestheadvantageousfeaturesofallthethreemeth-ods:theGalerkinfiniteelementmethod(GFEM),theboundaryelementmethod(BEM)andtheelement-freeGalerkinmethod(EFGM).Itisatrulymeshlessmethod,whichmeansthatthediscretizationisinde-pendentofgeometricsubdivisionintoelementsorcells,butisonlybasedonasetofnodes(orderedorscat-tered)overadomaininquestion.Itinvolvesonlyboundaryintegration,however,overalocalboundarycen-teredatthenodeinquestion;Itposesnodifficultiesinsatisfyingtheessentialboundaryconditionswhileleadingtobandedandsparsesystemmatricesusingthemovingleastsquare(MLS)approximations.Itisshownthathighaccuracycanbeachievedforarbitrarygeometriesforclampedandsimply-supportededgeconditions.Themethodisfoundtobesimple,efficient,andattractive.
机构地区 不详
出版日期 2002年03月13日(中国期刊网平台首次上网日期,不代表论文的发表时间)