215 ホモロジー理論に基づくトポロジー制約条件と構造最適化における効果

概要

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Useless elements are eliminated from a design domain or a ground structure and its topology is changed in the process of most topology optimization methods such as the homogenization method and the genetic algorithms. In this paper, a method of inferring the change of topology of the structure before the elimination of an element is proposed. Using this method, topological constraint conditions can be set. For example, when the necessary condition of the optimum structure is chosen as a topological constraint, the probability of obtaining the optimum one can be increased. Designer's requests for topology also can be the constraint conditions. As numerical examples, topology of a three-dimensional structure consisting of triangular elements was optimized by simply removing an element with the least strain energy under various topological constraints. And as another example, topology optimization of a plate using the artificial model (similar to the homogenization method) was treated under a constraint on the number of holes. The validity of the proposed method was verified by these two examples.
一般社団法人日本機械学会の論文
2002-10-04