Abstract
A method is proposed for structural optimal design under multiple loading conditions based on the game theory in combination with finite element analysis. Two players are supposed to play the zero-sum game, one having design strategies for minimization of payoff defined as the mean value of free nodal displacements, and the other using loading condition strategies to maximize it. Optimal design strategies are compared repeatedly as the game value by means of solution of a linear programming problem derived from the table of payoff. The validity of the proposed method for the optimum design under multiple loading conditions is demonstrated by the numerical examples of plane frame structures.
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