均質化理論に基づく位相最適化法によるホモロガス変形問題の数値解法

概要

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The purpose of this study is to develop a topology optimization method to get a given detormation mode, such as a homologous structure. A minimization problem of a square error in relation to a given deformation and an active deformation is formulated for a linear elastic structure. To solve this problem the homogenized elastic constants are employed and a topology optimization is replaced with an optimal density distribution problem. using the similar method proposed by Bendsoe and Kikuchi. The homogenized elastic constants are calculated by the homogenization method for a microstructure having a rectangular hole. Using this method, a structural deformation is controlled to a given deformation. Simple examples are presented to confirm the validity of this optimization method.
一般社団法人日本機械学会の論文
1997-02-25