Regular solution to topology optimization problems of continua

DOI 機関リポジトリ HANDLE Web Site 被引用文献20件 参考文献14件 オープンアクセス

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The present paper describes a numerical solution to topology optimization problems of domains in which boundary value problems of partial differential equations are defined. Density raised to a power is used instead of the characteristic function of the domain. A design variable is set by a function on a fixed domain which is converted to the density by a sigmoidal function. Evaluation of derivatives of cost functions with respect to the design variable appear as stationary conditions of the Lagrangians. A numerical solution is constructed by a gradient method in a design space for the design variable.

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  • JSIAM Letters

    JSIAM Letters 3 (0), 1-4, 2011

    一般社団法人 日本応用数理学会

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