目標計画法による構造最適化 : 制約条件が満たされない問題に対する方法

抄録

A goal programming formulation in the optimal design of structures is proposed to find a practical solution although all design constraints are not strictly satisfied. The method treats design constraints and objective as goals, and tries to find a feasible solution that achieves the goals as well as possible. A goal level of achievement is introduced to settle multiple criterion. Moreover, in some problems, the number of iterations excessively increases although goal programming formulation is used. The relaxation of the unachievable goal levels is incorporated to hasten the convergence. As examples, a rod with a point mass and a beam with a point mass are optimized in consideration of several types of design goals related to eigenfrequencies, the total mass, and design variables.