On the Parametric Excitation of Pendulum-Type Vibration Absorber

[+] Author and Article Information
Eugene Sevin

Armour Research Foundation, Chicago, Ill.

J. Appl. Mech 28(3), 330-334 (Sep 01, 1961) (5 pages) doi:10.1115/1.3641707 History: Received June 17, 1960; Online September 16, 2011


The free motion of an undamped pendulum-type vibration absorber is studied on the basis of approximate nonlinear equations of motion. It is shown that this type of mechanical system exhibits the phenomenon of auto parametric excitation; a type of “instability” which cannot be accounted for on the basis of the linearized system. Complete energy transfer between modes is shown to occur when the beam frequency is twice the simple pendulum frequency. On the basis of a numerical solution, approximately 150 cycles of the beam oscillation take place during a single cycle of energy interchange.

Copyright © 1961 by ASME
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