Parametric Excitation of a Nonlinear System

[+] Author and Article Information
W. K. Tso

Northrop Corporation, Norair Division, Hawthorne, Calif.

T. K. Caughey

California Institute of Technology, Pasadena, Calif.

J. Appl. Mech 32(4), 899-902 (Dec 01, 1965) (4 pages) doi:10.1115/1.3627333 History: Received October 05, 1964; Revised April 06, 1965; Online September 15, 2011


A study has been made on the parametric excitation of a nonlinear system with hardening springs. In the parametric excitation of linear systems, the only subharmonic predicted is a subharmonic of order 1/2. However, in the parametric excitation of non-linear systems, it is shown that higher order subharmonics can exist, depending both on the amplitude and frequency of the parametric excitation.

Copyright © 1965 by ASME
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