A 99 line topology optimization code written in ....pdf

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1、EducationalarticleStructMultidiscOptim21,120–127Springer-Verlag2001A99linetopologyoptimizationcodewritteninMatlabO.SigmundAbstractThepaperpresentsacompactMatlabim-fractionandthentheprogramshowsthecorrectoptimalplementationofatopologyoptimizationcodeforcom-topology

2、forcomparison.plianceminimizationofstaticallyloadedstructures.TheIntheliterature,onecanfindamultitudeofapproachestotalnumberofMatlabinputlinesis99includingopti-forthesolvingoftopologyoptimizationproblems.InthemizerandFiniteElementsubroutine.The99linesareoriginalpape

3、rBendsøeandKikuchi(1988)aso-calleddividedinto36linesforthemainprogram,12linesforthemicrostructureorhomogenizationbasedapproachwasOptimalityCriteriabasedoptimizer,16linesforamesh-used,basedonstudiesofexistenceofsolutions.independencyfilterand35linesforthefiniteelement

4、Thehomogenizationbasedapproachhasbeenadoptedcode.Infact,excludingcommentlinesandlinesassoci-inmanypapersbuthasthedisadvantagethatthedeter-atedwithoutputandfiniteelementanalysis,itisshownminationandevaluationofoptimalmicrostructuresandthatonly49Matlabinputlinesarereq

5、uiredforsolvingtheirorientationsiscumbersomeifnotunresolved(forawell-posedtopologyoptimizationproblem.Byaddingnoncomplianceproblems)andfurthermore,theresultingthreeadditionallines,theprogramcansolveproblemsstructurescannotbebuiltsincenodefinitelength-scalewithmultip

6、leloadcases.Thecodeisintendedforedu-isassociatedwiththemicrostructures.However,theho-cationalpurposes.ThecompleteMatlabcodeisgiveninmogenizationapproachtotopologyoptimizationisstilltheAppendixandcanbedown-loadedfromtheweb-siteimportantinthesensethatitcanprovideboun

7、dsonthehttp://www.topopt.dtu.dk.theoreticalperformanceofstructures.AnalternativeapproachtotopologyoptimizationisKeywordstopologyoptimization,education,optimal-theso-called“power-lawapproach”orSIMPapproachitycriteria,world-wideweb,Matlabcode(SolidIsotropicMaterialwi

8、thPenalization)(Bendsøe1989;ZhouandRozvany1991;Mlejnek1992).Here,ma-terialpropertiesareassumedconstantwithineachelem-entusedtodiscretizethedesign