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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.

Optimum Design Method for Nonlinear Truss Structures based on Energy Principle considering Configuration and Sizing Variables