Impulsive Parametric Excitation: Theory

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

Division of Applied Mechanics, University of California at Berkeley, Berkeley, Calif.

J. Appl. Mech 39(2), 551-558 (Jun 01, 1972) (8 pages) doi:10.1115/1.3422715 History: Received March 01, 1971; Revised June 22, 1971; Online July 12, 2010


Given in this paper is the development of a theory for dynamical systems subjected to periodic impulsive parametric excitations. By periodic impulsive parametric excitation we mean those excitations representable by periodic coefficients which consist of sequences of Dirac delta functions. It turns out that for this class of periodic systems the stability analysis can be carried out in a remarkably simple and general manner without approximation. In the paper, after giving the general theory, many special cases are examined. In many instances simple and closed-form analytic stability criteria can be easily established.

Copyright © 1972 by ASME
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