單元分解無網格法及其應用.pdf

1、華中科技大學碩士學位論文單元分解無網格法及其應用姓名：徐長松申請學位級別：碩士專業(yè)：船舶與海洋結構物設計制造指導教師：劉士光2003.4.29華中科技大學碩士學位論文AbstractThemeshlessmethodshavegotveryrapiddevelopmentinrecentyears，andbecameoneofthehottesttopicinthefieldofcomputationmechanicsThemeshfr

2、eecharacteristichasdistinctiveadvantagestodeal、】l，itllhighspeedimpactinduStrialformingextremelylargedeformation，fractureandfragmentationproblemsetcItofferstheextremendouspotentialinindm仃ialapplicatiomThev鰣oascurrentmeshi

3、essmethodshavebeenreviewedsystematicallyThepartitionofunitymeshleesmethodisgivenfullespecialintrductionseparatelyit’smathematicsfoundationincludethepartitionofunitycoveringfunction，movingleastsquaremethod，Galerkinvariati

4、onAstheothermeshiessmethods，thepartitionofunitymethodonlyrequiredthescatterednodesandnoelementconnectivitydataisneededAsthedepictionoffieldvariableapproximations，byselectingmovinglease—squaremethodtomakethefunctionofthep

5、artitionofunityonenewmethodisformed，thatis，thepartitionofunitymeshless，thispapergivesitoneverydetailedintroductionInthispapermovingleastsquaremethodisgivendetailedformulationconductionSplinefunctionisselectedasweightfunc

6、tionInthedistributedimplemem，theallocationpointsmethodandGalerkinvaricationmethodareintroduced，andweusethelatterFordealingwitlltheboundaryconditionweusetheLagrangemultiplierInthedomain，weusethecirclecoverThesenodesarelai

7、edregularlywhenformingthescatteredpointmodel，NumericalanalysisshowsitisefficientWhenreferingthesolving，weusetheGaussintegralTheselectionofweightfunctionmustsatisfyfourconditionsWhentreatingthediscontinuouseoffieldfunctio