汎用FEMコードを利用した領域最適化問題の数値解析法 : 力法によるアプローチ

概要

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This paper describes the numerical method for domain optimization problems based on the traction method. The traction method was recently proposed as a solution to domain optimization problems. With the traction method, the domain variation is analyzed under a condition where the objective functional decreases. We propose a convenient numerical method using a general purpose FEM to apply the traction method to practical problems. The domain optimization problem treated here is a mean compliance minimization problem of linear elastic structures. The computed results of a multiply connected plate and a solid torsion bar are compared with those obtained by other authors. The practical application of the method is also demonstrated with a plane sample and a solid one. The results show sufficient validity of the proposed numerical method for practical domain optimization problems.
社団法人日本機械学会の論文
1994-10-25