ローカルルールを用いた平面構造の形態設計(シミュレーションの世界)  [in Japanese] Shape Design of Planar Structure Using Local Rule(Essay)  [in Japanese]

This paper deals with the shape design of planar structure using local rule. We obtain the optimum structure by changing initial structure trying to have uniform stress in whole structure. Finite element method with uniform square-shaped mesh is used to solve the two-dimensional elastic problem. The density parameter is treated as a continuous design variable or a discrete design one. When the design variable is continuous, the structure is updated by changing Young's modulus of each cell. The variation of Young's modulus is determined by density parameter, which is changed by local rule with the states of a cell and the surrounding cells. On the other hand, when the design variable is discrete, we remove the cells or add the cells using threshold values. We determine the threshold values from equivalent stresses and rate of change as a local rule. Some numerical results using these algorithm are shown.