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RESEARCH PAPERS

Some Applications of Graph Theory to the Structural Analysis of Mechanisms

[+] Author and Article Information
L. Dobrjanskyj

Department of Mechanical Engineering, Columbia University, New York, N. Y.

F. Freudenstein

Columbia University, New York, N. Y.

J. Eng. Ind 89(1), 153-158 (Feb 01, 1967) (6 pages) doi:10.1115/1.3609988 History: Received June 28, 1966; Online August 25, 2011

Abstract

Concepts in graph theory, which have been described elsewhere [2, 4, 6] have been applied to the development of (a) a computerized method for determining structural identity (isomorphism) between kinematic chains, (b) a method for the automatic sketching of the graph of a mechanism defined by its incidence matrix, and (c) the systematic enumeration of general, single-loop constrained spatial mechanisms. These developments, it is believed, demonstrate the feasibility of computer-aided techniques in the initial stages of the design of mechanical systems.

Copyright © 1967 by ASME
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