Representation of Topology Using Homology Groups and Its Application to Structural Optimization : Fitness Value Based upon Topology for Unanalyzable Structures Generated in Genetic Algorithm and Its Effect on Performance of Optimization

フォーマット:
論文(AKAGI収録)
責任表示:
Nakanishi, Yasuhiko
言語:
en_
出版情報:
社団法人日本機械学会, 2000-07-15
著者名:
Nakanishi, Yasuhiko  
掲載情報:
JSME international journal. Series A, Solid mechanics and material engineering
ISSN:
13447912  CiNii Articles  Webcat Plus  IRDB
巻:
43
通号:
3
開始ページ:
234
終了ページ:
241
バージョン:
publisher
概要:
Genetic algorithm (GA) is one of the most useful methods to optimize topology of structures. The performance of GA, however, deeply depends upon a rule of coding from a structure to a string (a chromosome), which must be decided before the execution of GA. An improper coding can cause a lot of unanalyzable structures to be generated in the process of optimization, which are separated into several pieces with no supporting or loading points. In this paper, a method to give such unanalyzable structures a fitness value based upon their topology using homology theory is proposed to raise the probability of obtaining the optimum structures. As numerical examples, topology of two-dimensional frames and three-dimensional structures consisting of triangular elements supported on a rigid wall and loaded vertically on a point distant from the wall are optimized under a constraint of constant weight. As a result, it was found that the proposed method increased the average fitness value and the number of optimum structures obtained in 100 trials of GA in comparison with other methods that considered unanalyzable structures to be useless. 続きを見る

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