The Analysis of an Elastic Four-Bar Linkage on a Vibrating Foundation Using a Variational Method

[+] Author and Article Information
B. S. Thompson

Department of Mechanical Engineering, Wayne State University, Detroit, Mich. 48202

J. Mech. Des 102(2), 320-328 (Apr 01, 1980) (9 pages) doi:10.1115/1.3254747 History: Received June 12, 1979; Online November 17, 2009


A variational method is employed to derive the equations of motion and the associated boundary conditions for a flexible crank-rocker linkage sited on a foundation which vibrates perpendicular to the plane of the mechanism. The links oscillate in axial, flexural and torsional modes, and the equations governing this behavior are systematically constructed using a variational theorem by permitting independent variations of the stress, strain, displacement and velocity parameters.

Copyright © 1980 by ASME
Topics: Linkages
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