Author: Yeh-Liang Hsu, S. D. Sheppard and D. J. Wilde (1993-11-14);
recommended: Yeh-Liang Hsu (2004-12-15).
Note: This paper is published in Computers and Structures, Vol.
55, No. 4, p.647-657. Vol. 55, n 4, May 17, 1995, p 647-657 Computers in
Industry, Vol. 25, No. 1, pp. 3-13, November, 1994.
The Curvature Function Method
for Two-Dimensional Shape Optimization Under Stress Constraints
function method for two-dimensional shape optimization under stress constraints
is developed. This method uses curvatures along the boundary curve as the
design variables. First it is shown that local curvature has a monotonic
relation to stress. Based on this, 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 method is completely
independent of the analysis techniques for calculating the stress. The
resulting curve has C2 continuity if the curvature function is continuous. Three
design examples are presented.