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Application of homology theory to topology optimization of three-dimensional structures using genetic algorithm

✍ Scribed by Yasuhiko Nakanishi

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 560 KB
Volume: 190
Category: Article
ISSN: 0045-7825
DOI: 10.1016/s0045-7825(00)00300-5

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✦ Synopsis

In the process of topology optimization of structures using genetic algorithms (GA), many structures, which cannot be analyzed by the ®nite element method (FEM) often appear and deteriorate the performance of GA. In this paper, a new method that gives such unanalyzable structures ®tness values based on their topology represented by homology groups (Abelian groups) is proposed. As numerical examples, strain energy of three-dimensional structures consisting of triangular shell elements is minimized using GA. In some cases, the average ®tness value of structures obtained by the proposed method is more than 10 times higher than that of an existing method.

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