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

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概要

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• 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.

• 一般社団法人日本機械学会の論文
• 2000-07-15

著者

• Nakanishi Yasuhiko

  Department Of Mechanical Engineering Toyohashi University Of Technology

• Nakanishi Yasuhiko

  Department Of Mechanical System Engineering Gunma University

関連論文

• Structural Optimization under Topological Constraint Represented by Homology Groups : Topological Constraint on One-Dimensional Complex by Use of Zero- and One-Dimensional Homology Groups
• Optimization of Frame Topology Using Boundary Cycle and Genetic Algorithm
• Optimization of Truss Topology Using Boundary Cycle : Derivation of Design Variables to Avoid Inexpedient Structure
• 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

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