连续体结构拓扑优化设计方法研究

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1、东北大学硕士学位论文AbstractStudyonTopologyOptimizationMethodforContinuumS臼mcturesAbstractTopologyoptimizationofcontinuumstructuresisbasedonsomemechanicalproperties，譬emovedtheinvalidunitfromthestructuregraduallytomaketheremainingstructureclosetoabestspatialdistributionandtoke印eachpartofthestre

2、sslevelclosetothesamesecurityconfiguration．Optimaldesignchangethenegativechackdesigntothepositiveimproveddesign,makethefeasibilitydesignchangedtotheoptimizeddesign．Inthedesignprocess，thedesignisbasedonanalysis，withoutcheckandmodifyrepeatedly,topologyoptimizationimproveddesignefficien

3、cyandshortenthedesigncycletime．Atfirst，thispaperdotopologyoptimizationdesignfortheplates，cantileverbeamandnonlinearcantileverbeambasedonVonMisesstresscriterion，stress—displacementcriterion，strainenergycriterionandstress-basedcriterion．Comparetheconvergencerateandtheoptimizedstructura

4、lperformanceofdifferentoptimizationcritera．Next，dobothanalyticaldesignandoptimizationdesignforequalstrengthbeams．Developedanaveragestresscriterionbycomparingthechangesofstressleveloftwokindsofoptimizationprocess．ProvethatthismethodCanimprovetheaveragestressoftheoptimizedstructure．Fin

5、ally,usingbothmicro··optimizationcriterionandmacro··optimizationcriteriontodotheoptimizationdesignfortheplates，provedthatmacro—optimizationcriterionisbettertogettllerightstructure．Basedontheanalysisdevelopedamicroscopicanalysis-macrodecidecriterion，andprovedthatthismethordiSeffective

6、．geywords：Topologyoptimization；Optimizationcritera；averagestresscriterion；microscopicanalysis-macrodecidecriterion．．111．．东北大学硕士学位论文目录目录独创性声明⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯．I摘要⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯．．IIAbstract．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．III第l章绪论⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯⋯

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