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Author: Yeh-Liang Hsu, Yu-Shuei Guo, Tzyh-Li Sun(1996-08-01); recommended: Yeh-Liang Hsu (2010-06-12).
Note: This paper is published in Journal of the Chinese Society of Mechanical Engineers, Vol. 17, No. 4, pp. 405-411, August 1996.

Skeleton curvature function method for two dimensional shape optimization under stress constraints


Geometrical representation has always been one of the key issues in shape optimization. This paper introduces the concept of using a skeleton to define the topology of the shape in the Curvature Function Method. Curvatures along the boundary curve are used as design variables. And instead of defining an initial shape to be optimized, the designer defines a skeleton for the boundary to be optimized. Since it can be shown that the local curvature has a monotonic relation with respect to stress, a zero-order search direction can be defined to search for the optimum curvature function which achieves a fully stressed boundary. No sensitivity analysis is required, and the resulting curve has C2 continuity.