フラクタル分枝限定法を用いた複合材料積層板の積層構成最適化

概要

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Present study shows the mechanism of the fractal branches of the stacking sequence of laminated composites, and proposes a novel approach for stacking sequence optimizations named Fractal-branch and bound method. The method is limited to the stacking sequence optimizations that can be computed only by out-of-plane lamination parameters. First, values of the objective function are approximated by response surfaces as functions of the out-of-plane lamination parameters using the design of experiments and the least square method, and the optimal set of lamination parameters is obtained. After that, a set of candidates of optimal stacking sequences is collected using branch-and-bound method near the optimal point of the set of lamination parameters. All of the candidates examined and the real optimal stacking sequence is obtained. The fractal-branch and bound method is applied to the stacking sequence optimization problems for a maximization of buckling load of a simply supported rectangular plate, and the method obtained the exact optimal stacking sequence by very small computational cost.
一般社団法人日本機械学会の論文
2000-04-25