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1、有限单元法及程序设计（Finiteelementmethodandprogramdesign）FiniteelementmethodandprogramdesignIntroduction1.mechanicalanalysismethod:analyticmethod,numericalmethodThefiniteelementmethod,theactualstructureshapeandtheloadiscomplex,mostlybyanalyticalmethodandnumericalmethodisdifficulttodevelop,withtheprogres
2、sofcomputer,anewnumericalanalysismethodwhichisdeveloped.2basicsteps:(1)structuraldiscretization:thestructureisdividedintofiniteunitsbylinesorplanesfromtheset.(2)elementanalysis:therelationbetweennodaldisplacementandnodalforce(elementstiffnessmatrix)ofthederivedelement.(3)overallanalysis:thewho
3、lestructureofeachelementisanalyzed,andtherelationbetweenthedisplacementofthestructuralpointandthenodalforceisderived.3programmingsteps:AskquestionsandworkoutasolutionStructuralmathematicalmodelDrawaprogramflowchartProgrammingCompilerdebuggerTrialverificationprogram4.,accordingtothenationalstan
4、dard(GB-1526-89)procedures,processes,icons,quasisymbolsandregulations:EMBEDPBrushThegraphrepresentsthestartingandendingpointsoftheprogramflowchart;Diagramsshowtheinputandoutputofdatainformation;Adatasettobecompletedbeforeaseriesofoperationsisperformedbyagraph;Thechartshowsthecriteria;Graphsrep
5、resentvariousprocessingfunctions,suchasmathematicaloperations;Thechartshowsthepathanddirectionoftheprocess.FiniteelementmethodandprogramdesignofbarstructuresThefiniteelementmethodofplanememberelementBasicconceptsoffiniteelementmethodThebasicidea:firstafter(thefirstunitanalysis,thentheoverallan
6、alysis)Basicconcept:wholenumber:nodeendpointnumberbynaturalnumber1,2,3,......(intheoverallcoordinatesystemxOy)Localnumber:eachunitismarkedwithI,J(inthelocalcoordinatesoftheunit,EMBED,Equation.3,inthesamedirectionastheoverallcoordinatesystem).3.Fe=,Ke,Delta,e,where:Ke=EMBED,Equation.3,elementst
7、iffnessmatrix,elementsarestiffnesscoefficientsDeltae=,EMBED,Equation.3element,rodsection,displacementarrayRodendforcearrayofFe=EMBEDEquation.3unitK,EMBED,Equation.3,=P(1-7)K=,EMBED,Equation.3,integralstiffnessmatrix,EMBED,Equation.3=EMB
