1、青島理工大學(xué)碩士學(xué)位論文無單元法及其在薄板非線性問題中的應(yīng)用姓名：王培樂申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：結(jié)構(gòu)工程指導(dǎo)教師：張偉星20050601青島理工走學(xué)工學(xué)碩士學(xué)位論文AbstractElementfreemethodisanewnumericalmethodThlSdissertationstudiesindetailthefundamentaltheoriesofElementfreeGalerkinmethod(EFGM)andapp

2、liesittobending，largedeflectiongofelasticthinplatesThecontentsofthisdissertationcandivideintothreeparts：Inthefistpart，thefundamentaltheoriesofMovingLeastSquaresMethod(MLSM)whichisthemathematicalbasisofEFGMarestudiedthoro

3、ughlytheshapefunctionofEFGMarealsodeduced。Severalkeyproblems，suchastheselectionofweightfunctionandbasisfunction，thesizeofinfluenceradiusofnodes，thecollocationofboundaryconditionandthemethodofintegralandimplementationetc，

4、aredeeplyresearchedInthesecondpart，thisdissertationappliedEFGMtosolveelastioplasticproblemandlargedeflectionproblemofthinplatesThecorrespondingstiffnessmatrixofEFGMisderivedusingvariationalprincipleThecorrespondingcomput

5、erprogramsatealsodevelopedNumericalexamplesshowthatthemethodisreasonableandfeasiblePenaltyfunctionisappliedtoen=forcetheessentialboundaryconditionsinthisdissertationThecorrespondingenergyformulasarederivedPenaltyfuncdons

6、olvesthoroughlytheproblemwhichcollocationofboundaryconditionisdifficultbyEFGMResearchshowsthatEFGMsolvingelastio—plasticproblemandlargedeflectionproblemofthinplatesisreasonableandfeasiableNumericalexamplesshowthatEFGMhas

7、theadvantageofsimplebeforeandafterprocesss，highaccmacyinsolvingstaticanddynamicanalysisofplatesInaword，EFGMhasapromisingprospectinengineeringpracticeKeywords：ElementfreeGalerkinMethod(EFGM)；MovingLeastSquareMethod(MLSM)；