セルオートマトンによる構造物の最適化 : セルの評価量に関する一提案

概要

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This paper presents an effective method of structural optimization using a cellular automaton which introduced the new evaluation of cells. The proposed methods are sufficiently simple to solve topology optimization problems as pure 0-1 problems, and yet sufficiently complex to express a wide variety of complicated topologies. A number of researchers are currently studying structural optimization problems using the theory of the cellular automaton. These cells are often evaluated by the von Mises stress and the mean compliance. In this paper, these cells are evaluated in the quantity calculated by the function of each cell and the number of the finite elements, and local rules for the birth and death of cells are applicable. The effectiveness of the proposed method is demonstrated through compliance minimization problems with volume constraints and weight minimization problems with stress constraints.
一般社団法人日本建築学会の論文
2004-03-20