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Dynamic boundary stabilization of a Reissner–Mindlin plate with Timoshenko beam

✍ Scribed by Marié Grobbelaar-Van Dalsen

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
134 KB
Volume
27
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

This paper is concerned with well‐posedness results for a mathematical model for the transversal vibrations of a two‐dimensional hybrid elastic structure consisting of a rectangular Reissner–Mindlin plate with a Timoshenko beam attached to its free edge. The model incorporates linear dynamic feedback controls along the interface between the plate and the beam. Classical semigroup methods are employed to show the unique solvability of the coupled initial‐boundary‐value problem. We also show that the energy associated with the system exhibits the property of strong stability. Copyright © 2004 John Wiley & Sons, Ltd.

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