Free Vibrations of Viscoelastic Timoshenko Beams

[+] Author and Article Information
T. C. Huang

Department of Engineering Mechanics, University of Wisconsin, Madison, Wisc.

C. C. Huang

Littleton Research Engineering Corp., Littleton, Mass.

J. Appl. Mech 38(2), 515-521 (Jun 01, 1971) (7 pages) doi:10.1115/1.3408805 History: Received July 08, 1969; Revised December 31, 1969; Online July 12, 2010


The correspondence principle has been applied to derive the differential equations of viscoelastic Timoshenko beams with external viscous damping. These equations are solved by Laplace transform and boundary conditions are applied to obtain complex frequency equations and mode shapes for beams of any combination of end conditions. For beams without external damping, the correspondence principle can be applied directly to the available solutions of elastic Timoshenko beams. Numerical illustration is given.

Copyright © 1971 by ASME
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