719 アフィン変換を用いたトラス構造物の位相最適化に関する研究 : 固有振動問題に対する検討

概要

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This paper presents a new method to determine optimum topologies of truss structre by using affine transformation. Our basic idea is to obtain optimum topology in complex design domain from optimum topology obtained in simple design domain by using affine transformation. We define simple design domain and optimum design problem. We calculate optimum topology in the simple design domain. For determination of optimum topology we use Genetic Algorithms. We call this optimum topology as basic optimum topology. Then we apply affine transformation to basic optimum topology, and can obtain some optimum topologies. To compare with those topologies, we calculate optimum topologies directly in the same design domain after coordinate transformation. Through numerical examples, we confirm our proposed method.
2002-09-13