Some Applications of Graph Theory to the Structural Analysis of Mechanisms

ASME International - Tập 89 Số 1 - Trang 153-158 - 1967
L. Dobrjanskyj1, F. Freudenstein2
1Department of Mechanical Engineering, Columbia University, New York, N. Y.
2Columbia University, New York, N.Y

Tóm tắt

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.

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