Experimental Verification of the Importance of The Nonlinear Curvature in the Response of a Cantilever Beam

[+] Author and Article Information
T. J. Anderson

Department of Mechanical Engineering, Memphis State University, Memphis, TN 38120

A. H. Nayfeh

Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061

B. Balachandran

Department of Mechanical Engineering, University of Maryland, College Park, MD 20742-3035

J. Vib. Acoust 118(1), 21-27 (Jan 01, 1996) (7 pages) doi:10.1115/1.2889630 History: Received March 01, 1993; Online February 26, 2008


An experimental and theoretical investigation into the first- and second-mode responses of a parametrically excited slender cantilever beam is presented. Inclusion of quadratic damping in the analytical model significantly improves the agreement between the experimental and theoretical results. In addition, the experimental results verify that the often ignored nonlinear curvature terms play a dominant role in the response of the first mode and that the nonlinear inertia terms play a dominant role in the response of the second mode.

Copyright © 1996 by The American Society of Mechanical Engineers
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