彈性力學(xué)的邊界積分方程—邊界無單元法.pdf

1、上海大學(xué)碩士學(xué)位論文彈性力學(xué)的邊界積分方程—邊界無單元法姓名：陳美娟申請學(xué)位級別：碩士專業(yè)：固體力學(xué)指導(dǎo)教師：程玉民20030201摘要(ABSTRACT)ABSTRACTToimproveillcondition，accuracyandefficiencyofmovingleastsquareapproximation，theimprovedmovingleastsquareapproximationispresentedinthis

2、paperOnthebasisofboundaryintegralequationmethodandimprovedmovingleast。squareapproximation，thebounda吖elementfreemethod，whichisthedirectmethodofmeshlessmethodofboundaryintegralequation，isinvestigatedinthispapenThemainworks

3、areasfollows：1Toimproveillcondition，accuracyandefficiencyofmovingleastsquareapproximation，theimprovedmovingleastsquareapproximationispresented2Onthebasisofimprovedmovingleastsquareapproximation，theboundaryelementfreemeth

4、odispresentedThemethodissimplehighaccuracyhighefficiencyandisameshlessmethodComparingwiththepreviousmeshlessmethodsofboundaryintegralequation，boundaryelementfreemethodisadirectmethod3Becausetheweightfunctionanditsparamet

5、ersareimportanttothesolutionandhaven0ruleto0be弘GaussweightfunctionandcubicweightfunctionandtheirparametersarewellcomparedwitheachotherAfterdiscussingtheparameters，thebestvaluesaresuggested4Onthesingularintegrationthetrad

6、itionalmethodsinBEMcan’tbeusedinboundaryelementfreemethodSeveralmethodsaredeeplyanalyzedintheoryandimplemented5Threeexamplesaregiven，andarecomparedandanalyzedfromseveralaspectsKEYWORDSElasticityboundaryintegralequaSonmes