2102 レベルセット法による形状表現に基づく有限被覆法を用いたトポロジー最適設計(OS7-1 設計と最適化I〜形状・形態設計〜,OS7 設計と最適化)

概要

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In this paper, first, a topology optimization problem is formulated based on the level set method and a method for regularizing the optimization problem by the Tikhonov regularization method is explained. The reaction-diffusion equation that updates the level set function is then derived and an optimization algorithm, which uses the finite element method to solve the equilibrium equations and the reaction-diffusion equation when updating the level set function, is constructed. Next, the implementation of combining the level set-based topology optimization and the finite cover method is explained. Finally, a numerical examples is provided to demonstrate the effectiveness of the proposed method of topology optimization for minimum mean compliance problems.
一般社団法人日本機械学会の論文
2010-10-27