A DYNAMIC PENALTY-FUNCTION METHOD FOR THE SOLUTION OF STRUCTURAL OPTIMIZATION PROBLEMS

被引:52
作者
SNYMAN, JA
STANDER, N
ROUX, WJ
机构
[1] Structural Optimization Research Group, Department of Mechanical and Aeronautical Engineering, University of Pretoria, Pretoria
关键词
CONSTRAINED MINIMIZATION; PENALTY FUNCTION; STRUCTURAL OPTIMIZATION;
D O I
10.1016/0307-904X(94)90307-7
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This paper presents an adaptation of an existing dynamic trajectory method for unconstrained minimization to handle constrained optimization problems. This is done by the application of a dynamic penalty parameter procedure to allow for the constraints. The method is applied to structural optimization problems that involve the determination of minimum weight structures of trusses and frames, subject to stress, displacement, and frequency constraints, under various prescribed load conditions. Because structural problems, in general, require detailed finite-element analyses to evaluate the constraint functions, the direct application of the trajectory method, requiring updated information at each step along the path, would be expensive. This problem is overcome by the successive application of the trajectory method to approximate quadratic subproblems that can be solved economically. The comprehensive new approach is called the DYNAMIC-Q method The method is successfully applied to a number of truss and frame problems and is found to be both reliable and easy to use.
引用
收藏
页码:453 / 460
页数:8
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