Abstract
A new methodology for optimum design of elasto-plastic structure is presented on the basis of theory of game. The two-person zero-sum game is constituted by two players of design strategy and loading strategy. Pure strategy of design player is a selection of members for weight reduction, and that of loading player a selection of discretized loads for the structure. The objective function of the optimum design is set as sum of squares of all the nodal displacements. The outcome of players concerning the objective function is evaluated through the elasto-plastic finite element analysis of the structure subject to a discretized load after reduction of small amount of weight of a member. The optimum strategy of the design player is decided in line with the minimax strategy by means of the linear programming. The final optimum design is determined after iterative reductions of weight and revisions of outcome until total weight of the structure decreases to its prescribed value. The proposed methodology is demonstrated in problem of a planar twenty-bar truss structure.
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