Internal resonance and nonlinear response of a cable under periodic excitation

Rao, Visweswara G and Iyengar, RN (1991) Internal resonance and nonlinear response of a cable under periodic excitation. In: Journal of Sound and Vibration, 149 (1). pp. 25-41.

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Abstract

The coupled non-linear equations of motion of a sagged cable in its first symmetric mode of in-plane and out-of-plane oscillations are solved by the method of multiple scales for its forced vibration response. The cases of both internal and external resonances are considered. A uniform lateral load is assumed to act along with an in-plane harmonic component, similar to a situation under vortex-induced oscillation. The quadratic nonlinearity terms in the equations of motion are shown to affect the cable behaviour significantly when the in-plane frequency is about twice the out-of-plane frequency of oscillation. A stability analysis is performed on the steady state solutions. The effect of cable sag on these solutionns and their stability is studied indirectly through the internal resonance parameter. The influence of the lateral load component, with and without internal resonance, on the stability regions is discussed.

Item Type:	Journal Article
Publication:	Journal of Sound and Vibration
Publisher:	Elsevier Science
Additional Information:	Copyright of this article belongs to Elsevier Science.
Department/Centre:	Division of Mechanical Sciences > Civil Engineering
Date Deposited:	27 Jun 2007
Last Modified:	17 Jan 2012 05:39
URI:	http://eprints.iisc.ac.in/id/eprint/11270

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