Nonlinear Vibration Analysis of Elastic Four-Bar Linkages

[+] Author and Article Information
J. P. Sadler

Department of Mechanical Engineering, State University of New York at Buffalo, Buffalo, N. Y.

G. N. Sandor

Division of Machines and Structures, Rensselaer Polytechnic Institute, Troy, N. Y.

J. Eng. Ind 96(2), 411-419 (May 01, 1974) (9 pages) doi:10.1115/1.3438345 History: Received June 06, 1973; Online July 15, 2010


A method of kineto-elastodynamic analysis is developed employing lumped parameter models for simulating moving mechanism components subject to elastic bending vibrations. The mechanism analyzed is the general planar four-bar linkage and the analytical model includes the response coupling associated with both the transmission of forces at the pin joints and the dependence of the undeformed motion of a link on the elastic motion of other links. Nonlinear equations of motion are derived by way of Euler-Bernoulli beam theory, and numerical solution of these equations is illustrated for specific examples. The model is suitable for the analysis of mechanisms with non-periodic motion and with nonuniform cross-section members.

Copyright © 1974 by ASME
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