ホモロジー群による位相制約下における構造最適化（第４報，密度法によるトポロジー最適化への適用例）

中西 康彦

doi:10.1299/kikaia.69.1606

書誌事項

タイトル別名

Structural Optimization under Topological Constraint Represented by Homology Groups (4th Report, An Example of Its Application to Topology Optimization by the Use of Density Approach)
ホモロジーグンニヨルイソウセイヤクカニオケルコウゾウサイテキカダイ4ホウミツドホウニヨルトポロジーサイテキカエノテキヨウレイ

この論文をさがす

説明

In the process of topology optimization, topology of a structure is, in general, changed in succession. In this paper, a method of inferring the change of topology is proposed. This method makes it possible to impose constraint conditions upon topology of the structure. Topological constraint conditions can be expressed by homology groups. As a numerical example, topology of a plate is optimized using an artificial model (the density approach) under topological constraint conditions that (I) the structure is not divided into pieces during the optimization process, and (II) the number of holes is less than or equal to the prescribed number. As a result, it was found that (1) topological constraints were correctly satisfied by the proposed method, (2) the least useful members tend to be removed by topological constraints, and other ones are reinforced, and (3) the strain energy of structures obtained under certain topological constraints is somewhat higher than that of ones without topological constraints.

収録刊行物

日本機械学会論文集Ａ編

日本機械学会論文集Ａ編 69 (687), 1606-1612, 2003

一般社団法人日本機械学会

キーワード

詳細情報詳細情報について

書き出し

問題の指摘