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Boundary stabilization for a non-linear beam on elastic bearings

✍ Scribed by To Fu Ma

Publisher: John Wiley and Sons
Year: 2001
Tongue: English
Weight: 103 KB
Volume: 24
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.230

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✦ Synopsis

Abstract

In this paper, we study the equation
under non‐linear boundary conditions which model the vibrations of a beam clamped at x=0 and supported by a non‐linear bearing at x=L. By adding only one damping mechanism at x=L, we prove the existence of a global solution and exponential decay of the energy. Copyright © 2001 John Wiley & Sons, Ltd.

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