Transfer Function of a Class of Nonlinear Multidegree of Freedom Oscillators

[+] Author and Article Information
L. E. Galhoud, S. F. Masri, J. C. Anderson

Department of Civil Engineering, University of Southern California, Los Angeles, CA 90089-0242

J. Appl. Mech 54(1), 215-225 (Mar 01, 1987) (11 pages) doi:10.1115/1.3172961 History: Received August 26, 1985; Revised August 18, 1986; Online July 21, 2009


Analytical and experimental studies were made of the dynamic response of a multidegree-of-freedom 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 two-degree-of-freedom oscillator with an unsymmetric geomtric nonlinearity, under the action of harmonic excitation. Experimental measurements of a distributed-parameter mechanical model under harmonic excitation verified the analytical findings. The effect of various dimensionless parameters on the system response was determined.

Copyright © 1987 by ASME
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