部分構造化法に基づく複数材料の最適配置を伴う構造物の座屈強度最大化のための位相最適化

概要

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Topological structural optimization contributes to the optimum design of structures with the miriimum weight mamtaining a high stiffness. This paper presents a! method for achieving topological optimization involving the optimum layout of plural materials for maximizing structural buckling strength. This method is formulated based on both the constraint condition concerning the layout of materials with various characteristics in the topological optimization and the stability theory of an elastic body with initial stresses. Then, an asteroid'type virtual element is developed based on a substructuring method for the purposes of maintaining a high level of accuracy in a relatively short CPU time. This method is applied to the two-dimensional model of column, and the validity of this method is confirmed from both the geometrical shape and the material layout regarding the obtained optimization structures. Various optimization shapes and material layouts are illustrated on the columns supporting the compressive load in the eccentric axial directions of those.
2004-12-08