有限平面桁架單元法的研究及應用.pdf

1、學校代號lQ』32分類號瀚確夫事HUNANUNIVERSITY碩士學位論文學號sQ2QllQ28一密級有限平面桁架單元法的研究及應用學位申請人姓名匿建培養(yǎng)單位塑直盍生查工捏堂瞳導師姓名及職稱選煎坐熬攫學科專業(yè)——結(jié)擅王窶研究方向塑筮遇筮直匝五金塹一一論文提交B期2QQ5生且!Q日窒!矍：!塑!!竺!：!!竺塑些：!竺些里ABSTRACTStructuralanalysisplaysakeyroleintheengineeringdesi

2、gn，Bothanalyticmethodinmathematicsandtraditionalfiniteelementmethod(FEMlhavedefectsTheformercanonlyresolvelimitedelasticityproblems，whilethelattercanbeusedinmuchavailablesituationsButitismoredifficulttobuilddisplacementi

3、nterpolatingfunctionandprocesshugedatainFEM，theanalysisresultsarealwaysunstableinplasticityphaseofmaterialnonlinear，Aimingatplanestressproblem，basedonthefundamentalofequivalentdisplacementintWOstructureswiththesameloadan

4、drestrictionsandthethoughtofFEM，akindofnovelelement——1——equivalentplanetrusselement(rectangleelementandtriangleelement)isconstructedinthispaperTheapproximatecalculationmethodrealizesasimpleandutilitariansolutiontocomplic

5、atedtwo—dimensionproblemsundertantamountprecisionFurther，thiskindofelementisappliedinlinearandnonlinearanalysisofreinforcedconcrete(RC)structureandtheequivalentplanetrusselementmodelofRCstructureisproposedinthepaperAbund

6、antexamplesprovethatthemethodisapplicablewhichcanbereferencedbyinengineeringFirstly，focusingOnplanestressproblems，akindofequivalentrectangleplanetrusselementiSconstructedinthispaper，whichconvertscomplextwo—dimensionprobl

7、emstoonedimensionproblemsThereareonlyaxialforcelinkelementsinthenewmodelundernodalloads，thustheinternalforceanddeformationofelementsbecomessimpleandexplicittobecalculatedandjudgedeasilyFurthermore，itcanmeettherequirement

8、sofengineeringprecisionSecondly，inordertomeshvariousgeometriesandtransitions，akindofequivalenttriangleplanetrusselementisconstructedalsoThirdly，theequivalentplanetrusselementanalysisprogramofplanestressproblemisworkedout

9、，bywhichcantileverbeam，simplebeamandverticalstructureareanalyzedThecalculationresultsandotherresultsoftraditionalFEMareconsistentForthly，thetransferstructureinHigh—Risebuildingandtheframeshellwallstructureareanalysisedwi

10、ththenewelementsinthispaperThelinearanalysistoaexampleof12floorswithtransferbeamsand10frame—shellwallfloorsareworked。Theresultsofstressanddisplacementhavelessdifferentswiththeresultsof4nodeshellelementsAnwreckrulesofequi