Boundary stabilization of a hybrid Euler-Bernoulli beam

Gorain, Ganesh C. ; Bose, Sujit K. (1999) Boundary stabilization of a hybrid Euler-Bernoulli beam Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 109 (4). pp. 411-416. ISSN 0253-4142

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We consider a problem of boundary stabilization of small flexural vibrations of a flexible structure modeled by an Euler-Bernoulli beam which is held by a rigid hub at one end and totally free at the other. The hub dynamics leads to a hybrid system of equations. By incorporating a condition of small rate of change of the deflection with respect tox as well ast, over the length of the beam, for appropriate initial conditions, uniform exponential decay of energy is established when a viscous boundary damping is present at the hub end.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Boundary stabilization; Euler-bernoulli beam equation; Hybrid system; Small deflection; Exponential energy decay
ID Code:6266
Deposited On:20 Oct 2010 11:21
Last Modified:16 May 2016 16:36

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