基于混合元胞自動(dòng)機(jī)方法的結(jié)構(gòu)拓?fù)鋬?yōu)化研究.pdf

1、華中科技大學(xué)碩士學(xué)位論文基于混合元胞自動(dòng)機(jī)方法的結(jié)構(gòu)拓?fù)鋬?yōu)化研究姓名：周珍珍申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：固體力學(xué)指導(dǎo)教師：陳建橋20090526II華中科技大學(xué)碩士學(xué)位論文AbstractComparedwiththesectionaloptimizationparametricoptimizationthetopologyoptimaldesignisrecognizedasamedifficultchallengingsubjectin

2、thestructuraloptimizationfield.Cellularautomaton(CA)hasbecomeaneffectivetooltoexplecomplexsystemsfsimulatingthecomplicatedglobalcontinuoussystemwiththesimplelocalevolutionaryrulediscretemethod.Thehybridcellularautomaton(

3、HCA)algithmisamethodthatcombineselementsofthecellularautomatonparadigmwithfiniteelementanalysis(FEA).Itprovidesapromisingtechniquefcontinuumstructuraltopologyoptimization.Therearesomebasicresearchesonthetopologyoptimalde

4、signofstructurebyHCAalgithm.Thispaperpresentsanimprovedapproachwhichisapplicabletovariableloadsmultipleloadcasesstressdisplacementconstraintsrealizestopologyoptimaldesignof2D3DcontinuumstructuresbyMATLABANSYSsoftware.Num

5、ericalexamplesindicatethattheenhancedmethodbasedonHCAalgithmiscomputationallyefficienttosolvetopologyoptimizationproblems.Contrastingwiththetraditionalmethodstheimprovedapproachnotonlyreducesthecalculationloadenhancessol

6、vingefficiencybutalsoovercomesnumericalinstabilitiessuchasthecheckerboardingeffectmeshdependency.Italsocanbeappliedto2Dcontinuumstructureextendedto3Dapplicationsdirectly.TheapplicationoftheHCAmethodthelocaltransitionrule

7、stoothermecomplexconditionsneedstobestudiedfurther.Keywds:Cellularautomatonalgithm(CA)；Finiteelementmethod(FEM)Structuraltopologyoptimal；Localcontrolrules；Variableloads；Multipleloadcases；Stressconstraint；Displacementcons