On the Parametric Excitation of a Dynamic System Having Multiple Degrees of Freedom

[+] Author and Article Information
C. S. Hsu

Department of Mechanical Engineering, University of California, Berkeley, Calif.

J. Appl. Mech 30(3), 367-372 (Sep 01, 1963) (6 pages) doi:10.1115/1.3636563 History: Received October 11, 1962; Online September 16, 2011


A dynamical system having multiple degrees of freedom and under parametric excitation is governed by a system of ordinary differential equations with periodic coefficients. In this paper a first-approximation analysis is carried out and criteria for instability are derived explicitly.

Copyright © 1963 by ASME
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