Dynamic Response of a Beam With a Geometric Nonlinearity

[+] Author and Article Information
S. F. Masri, Y. A. Mariamy, J. C. Anderson

Department of Civil Engineering, University of Southern California, Los Angeles, Calif. 90007

J. Appl. Mech 48(2), 404-410 (Jun 01, 1981) (7 pages) doi:10.1115/1.3157630 History: Received March 01, 1980; Revised September 01, 1980; Online July 21, 2009


Analytical and experimental studies were made of the dynamic response of a system with a geometric nonlinearity, which is encountered in many practical engineering applications. An exact solution was derived for the steady-state motion of a viscously damped Bernoulli-Euler beam with an unsymmetric geometric nonlinearity, under the action of harmonic excitation. Experimental measurements of a mechanical model under harmonic as well as random excitation verified the analytical findings. The effect of various dimensionless parameters on the system response was determined.

Copyright © 1981 by ASME
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