A NEW APPROACH FOR THE SOLUTION OF SINGULAR OPTIMUM IN STRUCTURAL TOPOLOGY OPTIMIZATION

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    摘要 Inordertoovercomethedifficultiescausedbysingularoptima,inthepresentpaper,anewmethodforthesolutionsofstructuraltopologyoptimizationproblemsisproposed.Thedistinctivefeatureofthismethodisthatinsteadofsolv-ingtheoriginaloptimizationproblemdirectly,weturntoseekingthesolutionsofasequenceofapproximatedproblemswhichareformulatedbyrelaxingtheconstraintsoftheoriginalproblemtosomeextent.Theapproximatedproblemcanbesolvedefficientlybyemployingthealgorithmsdevelopedforsizingoptimizationproblemsbecauseitssolutionisnotsingular.Itcanalsobeprovedthatwhentherelaxationparameteristendingtozero,thesolutionoftheapproximatedproblemwillconvergetothesolutionoftheoriginalproblemuniformly.Numericalexamplesillustratetheeffectivenessandvalidityofthepresentapproach.Resultsarealsocomparedwiththoseobtainedbytraditionalmethods.
    机构地区 不详
    出处 《力学学报:英文版》 1997年2期
    出版日期 1997年02月12日(中国Betway体育网页登陆平台首次上网日期,不代表论文的发表时间)
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