Narrowband random excitation of a limit cycle system

Manohar, C. S. ; Iyengar, R. N. (1991) Narrowband random excitation of a limit cycle system Archive of Applied Mechanics, 61 (2). pp. 133-141. ISSN 0939-1533

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The response of the Van der Pol oscillator to stationary narrowband Gaussian excitation is considered. The central frequency of excitation is taken to be in the neighborhood of the system limit cycle frequency. The solution is obtained using a non-Gaussian closure approximation on the probability density function of the response. The validity of the solution is examined with the help of a stochastic stability analysis. Solution based on Stratonovich's quasistatic averaging technique is also obtained. The comparison of the theoretical solutions with the digital simulations shows that the theoretical estimates are reasonably good.

Item Type:Article
Source:Copyright of this article belongs to Springer-Verlag.
ID Code:12721
Deposited On:11 Nov 2010 09:06
Last Modified:03 Jun 2011 08:51

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