機械構造形状の最適化計画 : 変位拘束面に依存する最小重量化形状の検討

抄録

The designs of two-dimensional plate structure were optimized for minimal weight structures of characteristic shapes corresponding to the conditions of the displacement restraining planes of the structures. Two structures "A and B", which were composed of finite elements, were modified discretely by the attaching and detaching of elements at the external boundary of the structures. In the modifications, the steepest descent method was actualized using the sensitivity function deduced from the strain energy of the structures. After the shape modification with the vertical displacement restraining plane, a part of structure "A" arrived at the horizontal restraining plane. After that the shape was modified along both restraining planes and converged into the hanging bar with a uniform cross-sectional area of minimal weight shape. The structure "B" with only the vertical restraining plane was converged into a V-shaped structure supported by two forked ends. The characteristics of the modification processes to the minimal weight shapes were shown by the variation of the total strain energy, the maximum equivalent stresses and the weight of the structures.