Radial Basis Function表現とレベルセット関数によるCMA-ESに基づくトポロジー最適化の加速

Abstract

In this paper, we developed topology optimization that represents the level-set functions using the radial basis function（RBF）and attempted to speed up the solution search using covariance matrix adaptation evolution strategy（CMA-ES）. By using a continuous and smooth level-set functions represented by RBF to represent the boundary between solid and void, the number of design variables and the accuracy of the finite element analysis can be separated, and the number of design variables can be reduced while maintaining the accuracy. Using thermal cloaks as numerical examples, it was confirmed that the optimal configurations and fitness are almost the same as those of conventional design methods, even when RBF is introduced.