エネルギー原理に基づく材料非線形トラス構造物の構造形状および断面寸法を設計変数とした最適設計法

抄録

This paper presents a unified and efficient optimum design method for nonlinear truss structures dealing with configuration and sizing variables. The necessary conditions for analysis problem are derived from the total complementary energy minimization problem and those are approximated with respect to configuration design variables. In the optimization process, the structural behaviors in addition to configuration and sizing variables are improved while satisfying both the primary design constraints and the approximated necessary conditions by using the gradient projection method without calculation of behavior sensitivities. The rigorousness, efficiency and reliability of the proposed method are demonstrated in the numerical examples.