成長ひずみ法によるソリッド体の形状最適化 : 体積,応力制約のためのPID制御の導入

概要

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This paper describes the shape optimization analysis of solid structures, where the shape optimization problems of linear elastic structures are treated to improve the strength or to reduce the weight of solid structures. The shape optimization system is developed based on the growth-strain method. The growth-strain method, which modifies a shape by generating bulk strain, was previously proposed for analysis of the uniform-strength shape. The generation law of the bulk strain is given as a function of a distributed parameter to be made uniform such as von Mises stress. In this paper, improved generation laws are proposed for the volume and maximum stress constraints. The laws make the stress uniform while controlling the volume and maximum stress to target values. PID control is introduced as the control method. A simple example using a cantilever beam and examples applied to suspension arms are presented. The results show sufficient validity and practicality of this method and developed system in terms of strength improvement and weight reduction of solid structures.
一般社団法人日本機械学会の論文
1994-03-25