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Decoupling in non-linear systems with two degrees of freedom

Srirangarajan, HR and Dasarathy, BV (1975) Decoupling in non-linear systems with two degrees of freedom. In: Journal of Sound and Vibration, 38 (1). 1 -8.

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The problem of decoupling a class of non-linear two degrees of freedom systems is studied. The coupled non-linear differential equations of motion of the system are shown to be equivalent to a pair of uncoupled equations. This equivalence is established through transformation techniques involving the transformation of both the dependent and independent variables. The sufficient conditions on the form of the non-linearity, for the case wherein the transformed equations are linear, are presented. Several particular cases of interest are also illustrated.

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 > Mechanical Engineering
Division of Electrical Sciences > Computer Science & Automation
Date Deposited: 21 Jan 2010 09:15
Last Modified: 19 Sep 2010 05:50
URI: http://eprints.iisc.ac.in/id/eprint/24354

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