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Published September 1959 | Published
Journal Article Open

Response of Van Der Pol's oscillator to random excitation

Caughey, T. K.

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.

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.

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August 21, 2023
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