RESEARCH PAPERS: Mechanisms Papers

On the Distribution of the RMS Shaking Moment of Unbalanced Planar Mechanisms: Theory of Isomomental Ellipses

[+] Author and Article Information
F. R. Tepper

Picatinny Arsenal, Dover, N. J.

G. G. Lowen

Department of Mechanical Engineering, The City College of the City University of New York, New York, N. Y.

J. Eng. Ind 95(3), 665-671 (Aug 01, 1973) (7 pages) doi:10.1115/1.3438207 History: Received April 25, 1972; Online July 15, 2010


It is shown that the RMS shaking moment of unbalanced planar mechanisms is constant with respect to all points along certain concentric ellipses (isomomental ellipses) in the mechanism plane. The RMS shaking moment decreases for reference points located on ellipses of decreasing size, and the center of this family of ellipses represents the point about which the RMS shaking moment of the mechanism is a minimum. This theory provides a useful tool for evaluating the effect of full force balancing on the RMS shaking moment of a given planar mechanism.

Copyright © 1973 by ASME
Topics: Mechanisms , Force
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