周波数応答問題における領域最適化解析 : 力法によるアプローチ

概要

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This paper describes a practical method of numerical analyses for domain optimization problems of linear elastic continua excited with a constant frequency. In this paper we deal with the minimization of the strain energy, the kinetic energy and the absolute value of mean compliance. We apply the traction method that was proposed as a solution to the domain optimization problems in elliptic bounday value problems. In this paper we formulate the domain optimization problems using the speed method and derive the shape gradient functions by the Lagrange multiplier method. The validity of basing this approach on the traction method using the derived shape gradient functions is confirmed through the results of numerical analyses of the beamlike plate problems.
社団法人日本機械学会の論文
1995-10-25