補完関数による座標変換を用いた構造物の最適位相に関する研究

概要

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This paper presents a design method to determine the optimum topology of the 2-D elastic plane structures in static problems by making use of coordinate transformation. We suppose a basic structure with a simple geometry. Then we apply the finite element analysis and calculate optimum thicknesses of the finite elements to minimize objective function of the elastic strain energy. We use then a coordinate transformation by interpolation function with remaining the obtained optimum thicknesses and to have an approximated optimum topology for the structure with an arbitrary shape. Alternatively, we determine directly the optimum topology of corresponding arbitrary complex model to be compared with. We also showed a method to determine the similarity qualitatively between optimum topologies using fuzzy reasoning. In some numerical examples, the effectiveness and the avialability of the proposed method are comfirmed.
一般社団法人日本機械学会の論文
2001-01-25