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Response of Van Der Pol's oscillator to random excitation

Caughey, T. K. (1959) Response of Van Der Pol's oscillator to random excitation. Journal of Applied Mechanics, 26 (3). pp. 345-348. ISSN 0021-8936. http://resolver.caltech.edu/CaltechAUTHORS:CAUjam59b

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Abstract

This paper considers the response of Van der Pol's oscillator to random excitation. It is shown that the output of the oscillator consists of a periodic term, plus a narrow band noise term centered at the natural frequency of the oscillator. The root-mean-square amplitude of this noise term is shown to be proportional to the square root of the spectral density of the excitation, and inversely proportional to the amplittude of self-oscillation.


Item Type:Article
Additional Information:For presentation at the West Coast Conference of the Applied Mechanics Division, Stanford, Calif., September 9-11, 1959, of The American Society of Mechanical Engineers. Manuscript received by ASME Applied Mechanics Division, November 18, 1957. Paper No. 59-APMW-5.
Record Number:CaltechAUTHORS:CAUjam59b
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:CAUjam59b
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:367
Collection:CaltechAUTHORS
Deposited By: Thomas Kirk Caughey
Deposited On:06 Jun 2005
Last Modified:26 Dec 2012 08:39

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