Regional Monotonicity in Optimum Design

[+] Author and Article Information
P. Papalambros

Dept. of Mechanical Engineering, University of Michigan, Ann Arbor, MI 48109

D. J. Wilde

Design Division, Dept. of Mechanical Engineering, Stanford University, Stanford, CA 94305

J. Mech. Des 102(3), 497-500 (Jul 01, 1980) (4 pages) doi:10.1115/1.3254774 History: Received June 18, 1979; Online November 17, 2009


Regional monotonicity is introduced to identify dominant constraints and simplify non-monotonic expressions in optimum design problems. The technique is applied to obtain a simple solution for the design of an explosive-actuated cylinder, a problem formulated and solved by various methods in the literature. The concept of regional monotonicity provides an extension to the method of monotonicity analysis. Computational work is reduced to a simple plotting over a narrow interval. The design rules developed assist in quick parametric analysis.

Copyright © 1980 by ASME
Topics: Design
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