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)

摘要

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.