029 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線形弾性体のトポロジー最適化(GS4-2 一般セッション)

概要

論文の詳細を見る
In this paper, first, a topology optimization problem is fomiulated 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 problem of linear elastic materials.
一般社団法人日本機械学会の論文
2010-10-09