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. https://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. |
| Issue or Number: | 3 |
| Record Number: | CaltechAUTHORS:CAUjam59b |
| Persistent URL: | https://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: | 02 Oct 2019 22:33 |
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