Abstract
The present paper deals with a truss topology optimization problem whose objective functions are both structural volume and compliance. This problem can be formulated as a multiobjective optimization problem (MOP), which is to find a set of cross-sectional area of members, such that structural volume and compliance should be minimized. In this paper, the Pareto optimal front of the present MOP is theoretically obtained using the Kuhn-Tucker conditions for MOPs. Moreover, based upon the characteristics of the theoretical Pareto front, the present MOP of a truss structure is transformed into an unconstrained minimization problem of the product of structural volume and compliance. A genetic algorithm is applied to this single objective optimization problem in this paper. The application of the proposed method is illustrated in numerical examples with discussion on both efficiency and accuracy.
