Accession Number:

ADP000068

Title:

Modified SUMT for Structural Synthesis,

Descriptive Note:

Corporate Author:

VIRGINIA POLYTECHNIC INST AND STATE UNIV BLACKSBURG DEPT OF ENGINEERING SCIENCE AND MECHANICS

Report Date:

1981-01-01

Pagination or Media Count:

9.0

Abstract:

Fiacco-McCormicks SUMT algorithm offers an easy way of solving nonlinearly constrained problems. However, this algorithm frequently suffers from the need to minimize an ill-conditioned penalty function. An ill-conditioned minimization problem, however, can be solved very effectively by posing the problem as one of integrating a system of stiff differential equations utilizing concepts from singular perturbation theory. This paper evaluates the robustness and the reliability of such a singular perturbation based SUMT algorithm on two different problems of structural optimization of widely separated scales. The report concludes that whereas conventional SUMT can be bogged down by frequent ill-conditioning, especially in large scale problems, the singular perturbation SUMT has no such difficulty in converging to very accurate solutions. Author

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE