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REVIEW ARTICLES

Damping of Vibrations of Layered Elastic-Viscoelastic Beams

[+] Author and Article Information
Richard B. Hetnarski, Ray A. West, Joseph S. Torok

Rochester Institute of Technology, Rochester NY 14623

Appl. Mech. Rev 46(11S), S305-S311 (Nov 01, 1993) doi:10.1115/1.3122651 History: Online April 29, 2009

Abstract

A five-layer cantilever beam consisting of an elastic core, two symmetric viscoelastic layers, and two elastic constraining layers is considered. The viscoelastic effects are incorporated in the Euler-Bernoulli beam theory. If the contraction and extension of the constraining layers is neglecterd a fourth order differential equation of motion is received. Inclusion of contraction and extension of the constraining layers results in a more accurate sixth order differential equation. Appropriate boundary conditions are derived. Laplace transforms are used extensively. Both the analytical solution and the numerical results are presented.

Copyright © 1993 by American Society of Mechanical Engineers
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