2104 目標とする変形後形状を実現するシェル構造の形状同定問題の一解法(OS7-2 設計と最適化II～形状・寸法設計～,OS7 設計と最適化)

抄録

In this paper we present a free-form optimization method for the optimum design of shell structures in order to control the static deformed shape to a desired one. As an objective functional, we introduced a squared deformed shape error norm on the prescribed surface. It is assumed that the shell is varied in the normal direction to the surface and the thickness is constant. A non-parametric shape optimization problem with a volume constraint is formulated, and the shape gradient function is theoretically derived. The free-form optimization method is applied to determine the optimal smooth shell while minimizing the objective functional. The calculated results show the effectiveness of the proposed method for the optimal free-form design of the shell structure with a desired deformed shape.