雙參數(shù)法與一類12參梯形板元的構造及其收斂性分析.pdf

1、蘭州大學碩士學位論文雙參數(shù)法與一類12參梯形板元的構造及其收斂性分析姓名：任大衛(wèi)申請學位級別：碩士專業(yè)：計算數(shù)學指導教師：伍渝江20050501蘭州大學碩士學位論文ABSTRACTThefiniteelement。whichisthenumericalmethodforsolvingproblemsofengi—neeringandmathematicalphysics，canbeusedtosolvethetypicalproblem

2、srelatedtoengineeringandmathematics，includingstructuralanalysis，heattransferandmssstrans—port，inwhichtheplatebendingisthebasicprobleminstructuralanalysis，andthereforeitsuggestsatheoreticalprogressandabroadprospectinphysi

3、calapplicationtofindouttherelativelyaccuratesolutiontonumericalvalueThedoublesetparameterisoneofthepopularmethodinplatebendingcalculation，whichmakesthenodeparameterandthedegreesoffreedomchosenindependentlyandalsosolvesth

4、eproblemofanmatchednessofnodeparameterandthespaceoffunctioninroutinemethod，whichisfavoredbymostscienceresearchersMostofthepapers。whichstudytheplatebending，employthetraditionaltriangleunitandrectangleunittoanalyzeitThethe

5、sisconstructsthe12parametertrapezoidplateelementsandprovesitsconvergencetosuitthecomplicatedgeometricshapeInordertoimprovetheaccuracythethesisconstructsotherhigh—accuracy12parametertrapezoidplateelements，andcantakethespe

6、cialinstancetochangeitintoamoleappliedrectangleplateAtlast，thetheMsoffersthecomparisonofnumericalvaluebetweenhighaccuracy12parameterrectangleplateclementandthetraditionalAdinielementand16parameterBFSelementKeyWords：Hnite