Narrowband random excitation of a limit cycle system

Manohar, CS and Iyengar, RN (1991) Narrowband random excitation of a limit cycle system. In: Archive of Applied Mechanics, 61 (2). 133 -141.

PDF 51arrowband_random_excitation.pdf - Published Version Restricted to Registered users only Download (617kB) | Request a copy

Abstract

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:	Journal Article
Publication:	Archive of Applied Mechanics
Publisher:	Springer
Additional Information:	Copyright of this article belongs to Springer.
Department/Centre:	Division of Mechanical Sciences > Civil Engineering
Date Deposited:	26 Nov 2010 08:49
Last Modified:	26 Nov 2010 08:49
URI:	http://eprints.iisc.ac.in/id/eprint/34004

Actions (login required)

View Item