Narrow-Band Excitation of a Nonlinear Oscillator

[+] Author and Article Information
W. C. Lennox

Department of Civil Engineering, University of Waterloo, Waterloo, Ontario, Canada

Y. C. Kuak

Department of Mechanical Engineering, Sir George Williams University, Montreal, Quebec, Canada

J. Appl. Mech 43(2), 340-344 (Jun 01, 1976) (5 pages) doi:10.1115/1.3423836 History: Received January 01, 1975; Revised October 01, 1975; Online July 12, 2010


A nonlinear oscillator characterized by a hardening-type restoring force is excited by stationary narrow-band noise. The analysis is based on the concept of quasi-static amplitude and phase values which is exactly opposite to the stochastic or Markov approach with its associated Fokker-Planck equation. The approach, in effect, replaces a system with memory with one without memory. The existence of jumps is demonstrated and an expression for the probability of the occurrence of jumps is derived.

Copyright © 1976 by ASME
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