Hybrid (Symbolic-Numerical) Optimization in Mechanism Design for the Elimination of Redundant Constraints

[+] Author and Article Information
D. A. Hoeltzel, Wei-Hua Chieng

Laboratory for Intelligent Design, Department of Mechanical Engineering, Columbia University, New York, New York 10027

J. Mech. Des 113(2), 110-123 (Jun 01, 1991) (14 pages) doi:10.1115/1.2912759 History: Received January 01, 1988; Online June 02, 2008


Hybrid optimization, a new approach to design optimization employing both symbolic reasoning and algorithmic analysis, has been applied to the design of kinematic pairs in mechanisms. This hybrid design methodology provides a three-step systematic approach for (1) combining the degrees-of-freedom found in simple, lower kinematic pairs to obtain more complex but robust higher pairs, (2) judging inappropriately assigned joints for the elimination of redundant kinematic constraints and harmful mobilities, and (3) assisting nonexpert designers in applying nonlinear programming algorithms for detailed numerical design optimization of kinematic pairs. An example taken from the design of a spatial mechanism, specifically a universal joint, is presented and serves to demonstrate the utility of this procedure for detailed hybrid design optimization of kinematic pairs in mechanisms.

Copyright © 1991 by The American Society of Mechanical Engineers
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