Computational efficiency of non-linear programming methods on a class of structural problems
β Scribed by W. C. Carpenter; E. A. Smith
- Publisher
- John Wiley and Sons
- Year
- 1977
- Tongue
- English
- Weight
- 804 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0029-5981
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
Results are presented of an investigation as to the computational efficiency of several nonβlinear programming algorithms on the constrained structural weight optimization of plane trusses and plane stress plates. The optimization algorithms considered are the methods of sequential linear programming, of feasible directions based on Zoutendijk's procedure P1, and of sequential unconstrained minimizations using the methods of Powell, Stewart, FletcherβPowell, and Newton. Results are presented on computational efficiency as a function of number of design parameters and as a function of the function evaluation effort to derivative evaluation effort ratio.
π SIMILAR VOLUMES
The efficiency of iterative methods in linear structural mechanics is studied. The efficiency concerns the calculation time, the numerical accuracy and the core storage needed. We state that iterative methods are effective in connection with hierarchical improvement of a primary approximation. Three
Many optimization problems in engineering require coupling a mathematical programming process to a numerical simulation. When the latter is non-linear, the resulting computer time may become una ordably large because three sequential procedures are nested: the outer loop is associated to the optimiz