The Stratified Representation of Mechanisms

[+] Author and Article Information
W. E. Fang

Systems Engineering Center, General Motors, 1151 Crooks, Troy, MI 48084

F. Freudenstein

Columbia University, New York, NY 10027

J. Mech. Des 112(4), 514-519 (Dec 01, 1990) (6 pages) doi:10.1115/1.2912640 History: Received February 01, 1988; Online June 02, 2008


A new method for the representation of the kinematic structure of mechanisms has been proposed. This scheme is an order-of-magnitude faster in enumerating mechanisms than the conventional characteristic-polynomial approach. Moreover, unlike the traditional approach, it never fails to identify a mechanism and all structural information relating to the mechanism can be retrieved from this representation. Classification of mechanisms based on structural characteristics is built-in as well. Using this method, the graphs of approximately one million kinematic chains have been generated and stored in a computer.

Copyright © 1990 by The American Society of Mechanical Engineers
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