Uniform stability of damped nonlinear vibrations of an elastic string

Gorain, Ganesh C. ; Bose, Sujit K. (2003) Uniform stability of damped nonlinear vibrations of an elastic string Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 113 (4). pp. 443-449. ISSN 0253-4142

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Official URL: http://ns1.ias.ac.in/mathsci/vol113/nov2003/Pm2196...

Related URL: http://dx.doi.org/10.1007/BF02829635

Abstract

Here we are concerned about uniform stability of damped nonlinear transverse vibrations of an elastic string fixed at its two ends. The vibrations governed by nonlinear integro-differential equation of Kirchoff type, is shown to possess energy uniformly bounded by exponentially decaying function of time. The result is achieved by considering an energy-like Lyapunov functional for the system.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Uniform Stability; Kirchoff Type Wave Equation; Lyapunov Functional; Exponential Energy Decay
ID Code:6268
Deposited On:20 Oct 2010 11:20
Last Modified:16 May 2016 16:36

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