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RESEARCH PAPERS: Design Automation Papers

NEWSUMT-A: A General Purpose Program for Constrained Optimization Using Constraint Approximations

[+] Author and Article Information
R. V. Grandhi

Engineering Science and Mechanics, Department of Aerospace and Ocean Engineering, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061

R. Thareja, R. T. Haftka

Department of Aerospace and Ocean Engineering, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061

J. Mech., Trans., and Automation 107(1), 94-99 (Mar 01, 1985) (6 pages) doi:10.1115/1.3258701 History: Received July 06, 1984; Online November 19, 2009

Abstract

The solution of complex constrained optimization problems is often prohibitively expensive because of the computational expense of evaluating the constraints. Under these circumstances the only viable solution is to employ inexpensive constraint approximations accompanied by move-limits that guard against large errors in the approximated constraints. The NEWSUMT-A program is a general purpose optimization program which automates the process of selecting constraint approximations and move-limits to ensure smooth convergence. The present paper describes the theoretical basis and the implementation of the optimization procedure. Examples from the field of structural optimization are presented. These involve stress and displacement constraints which require a costly finite element analysis. Additionally, the performance of two first-order constraint approximations is compared.

Copyright © 1985 by ASME
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