Stability of Subharmonic Oscillations in Nonlinear Systems

[+] Author and Article Information
Rufus Oldenburger, Robert E. Nicholls

School of Mechanical Engineering, Purdue University, Lafayette, Ind.

J. Basic Eng 86(1), 116-120 (Mar 01, 1964) (5 pages) doi:10.1115/1.3653094 History: Received July 19, 1963; Online November 03, 2011


This paper presents a method for finding necessary conditions such that a subharmonic oscillation may exist in certain types of nonlinear feedback systems. The method is applicable to feedback systems with one, instantaneous, nonmemory-type, nonlinear element. Equations are derived giving the fundamental output of a nonlinear element when forced by two sine waves of integer ratio frequency. Normal describing-function assumptions are made with regard to attenuation of higher-order harmonics. An example of a system incorporating a perfect relay is presented. The results of the analysis have been verified experimentally on the analog computer.

Copyright © 1964 by ASME
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