レベルセット法とH¹勾配法に基づく圧力荷重を受ける構造の形状・トポロジー同時最適化手法

抄録

Shape and topology optimization of the structure subjected to pressure load requires maintaining the smoothness of the boundary at which the pressure load is applied during the optimization process, and the direction of the load position changes with the variation of the boundary. Therefore, it is a difficult structure optimization problem. In this paper, we present the simultaneous shape and topology optimization method for the pressure load problem. In this method, optimization of the boundary subjected to the pressure load is set as a shape optimization problem by the H¹ gradient method, and the optimization of the other design region is set as a topology optimization problem by the level set method. With the proposed method, the light-weight structure can be obtained while maintaining the smooth of the boundary shape to deal with the pressure load problem. Two design problem is presented to confirm the validity and the practical utility of the proposed method.