Dynamic Topology Optimization for Multiple Eigenfrequencies using the Artificial Bee Colony Algorithm

Abstract

The purpose of this study is to suggest a method of applying the artificial bee colony algorithm (ABCA) in the frequency topology optimization for a structure with multiple eigenfrequencies. In order to replicate the multiple eigenfrequencies of a structure, sub-optimization procedure for multiple eigenfrequencies was additionally developed. In order to obtain a stable and robust optimal topology the waggle index update rule, evaluation method of fitness values and changing filtering size scheme were also employed And the optimized topologies of ABCA for examples were compared with those of the solid isotropic material with penalization (SIMP) method for investigating the applicability and effectiveness of the ABCA. The following conclusions were obtained through the results of examples; (I) The ABCA implemented with sub-optimization procedure and the three suggested schemes, is very applicable and effective in dynamic topology optimization. (2) The multiple eigenfrequencies of a structure are successfully replicated by the ABCA in optimization procedure. (3) The fundamental frequency of the ABCA is almost the same or slightly higher than that of the SIMP.