A New Method for Completely Force Balancing Simple Linkages

[+] Author and Article Information
R. S. Berkof, G. G. Lowen

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

J. Eng. Ind 91(1), 21-26 (Feb 01, 1969) (6 pages) doi:10.1115/1.3591524 History: Received February 18, 1968


A new method, herein referred to as the “Method of Linearly Independent Vectors,” is shown to permit the complete force balancing of certain planar linkages. This method consists of writing the equation describing the position of the total mechanism center of mass in such a way that the coefficients of the time-dependent terms may be set equal to zero. In this way, the total center of mass can be made stationary, and the shaking force vanishes. Derivations as well as practical applications are shown for four-bar and six-bar linkages with arbitrary link mass distributions.

Copyright © 1969 by ASME
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