Discrete Optimal Design Formulations With Application to Gear Train Design

[+] Author and Article Information
L. P. Pomrehn, P. Y. Papalambros

Design Laboratory, Department of Mechanical Engineering and Applied Mechanics, The University of Michigan, Ann Arbor, MI 48109

J. Mech. Des 117(3), 419-424 (Sep 01, 1995) (6 pages) doi:10.1115/1.2826695 History: Received June 01, 1994; Revised March 01, 1995; Online December 11, 2007


The use of discrete variables in optimal design models offers the opportunity to deal rigorously with an expanded variety of design situations, as opposed to using only continuous variables. However, complexity and solution difficulty increase dramatically and model formulation becomes very important. A particular problem arising from the design of a gear train employing four spur gear pairs is introduced and formulated in several different ways. An interesting aspect of the problem is its exhibition of three different types of discreteness. The problem could serve as a test for a variety of optimization or artificial intelligence techniques. The best known solution is included in this article, while its derivation is given in a sequel article.

Copyright © 1995 by The American Society of Mechanical Engineers
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