Parametric Excitation of a Pendulum With Bilinear Hysteresis

[+] Author and Article Information
W. K. Tso, K. G. Asmis

Department of Civil Engineering and Engineering Mechanics, McMaster University, Hamilton, Ontario, Canada

J. Appl. Mech 37(4), 1061-1068 (Dec 01, 1970) (8 pages) doi:10.1115/1.3408659 History: Received October 14, 1969; Online July 12, 2010


The steady-state responses of a simple pendulum with a hinge exhibiting bilinear hysteretic moment-rotation characteristics and parametrically excited by a sinusoidal oscillation at the base is given. The stability of the steady-state solutions is discussed. It is shown that in contrast with viscous damping, the bilinear hysteresis is an effective mechanism to limit the growth of the response during parametric resonance.

Copyright © 1970 by ASME
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