レベルセット法に基づく三次元要素生成法を用いた設計変数依存型境界条件を考慮したトポロジー最適化法

抄録

This paper proposes a new topology optimization method using a three-dimensional mesh generator based on the level set method. Basic details of the level set-based topology optimization method are briefly discussed. A topology optimization of the linear elastic problem is formulated using the level set method. Based on the formulation, the design sensitivities are derived using the adjoint variable method. Using the derived sensitivities, topology optimization algorithm is constructed where the Finite Element Method (FEM) is used to solve the equilibrium equations and to update the level set function. A numerical implementation for generating finite element mesh based on the level set method is proposed. Three-dimensional examples are provided to confirm the validity and utility of the proposed topology optimization method.