雙參數(shù)法與一類12參梯形板元的構(gòu)造及其收斂性分析.pdf

1、蘭州大學(xué)碩士學(xué)位論文雙參數(shù)法與一類12參梯形板元的構(gòu)造及其收斂性分析姓名：任大衛(wèi)申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：計(jì)算數(shù)學(xué)指導(dǎo)教師：伍渝江20050501蘭州大學(xué)碩士學(xué)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