結(jié)構(gòu)拓撲優(yōu)化設(shè)計密度懲罰法與水平集法.pdf

1、山東建筑大學碩士學位論文結(jié)構(gòu)拓撲優(yōu)化設(shè)計密度懲罰法與水平集法姓名：吝戰(zhàn)軍申請學位級別：碩士專業(yè)：固體力學指導教師：鹿曉陽20100601山東建筑大學碩士學位論文SolidlsotropicMaterialwithPenalizationandLevelSetMethodinStructuralTopologyOptimizationDesignLinZhanjun(SolidMechanics)DirectedbyLuXiaoyangA

2、BSTRACTContinuumStructuralTopologyOptimizationdesignisahotresearchfield，whichenablesmoreeconomicaluseofstructuralmaterials，andstressdistributionismorereasonableItCangreatlyreducethestructuralweightandimprovestructuralper

3、formanceItbringsdirecteconomicbenefitsTherefore，itissignificanttodesignengineeringstructuresbytopologyoptimizationdesignItimprovesthedesignscientificallyandaccuratelyThispaperisaimedatcommonprojectoncomparisonofoptimizat

4、ionofbeamstructure，anditwillcometruebyusingSolidIsotropicMaterialwithPenalization(StMe)andtheLevelSetMethod(LSM)topologyoptimizationmethodsItalsocombinesfiniteelementanalysis，toachievetheresultMainlystudiedthefollowing：1

5、ItestablishesoptimalmodelbasedonSIMPItstudiesSIMPalgorithm，andcombinedwithMATLABprogrammingoftheshortcantileverbeam，MBBbeam，Michelltypestructureandthecranebeamsofthemodelstructuretopologyoptimizationdesignandanalysis；2It

6、illustratesthebasicconceptofthelevelsetmethod，Hamilton—Jacobipartialdifferentialequationsofthenumericalcalculation，andthelevelsetevolutionprocess；3Itstudiessomebasicideasinsolvingthelevelsetmethodinthecontinuumtopologyop

7、timizationItalsodiscussesthecontinuumtopologyoptimizationlevelsetfunctiondescription，optimizationmodel，levelsetmethodoftheoreticalderivationandnumericalimplementationEngineeringcomponentsofthebeamareoptimizedbyusingMATLA