Dynamic boundary stabilization of a Reissner–Mindlin plate with Timoshenko beam |
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Authors: | Mari Grobbelaar‐Van Dalsen |
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Institution: | Marié Grobbelaar‐Van Dalsen |
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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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Keywords: | hybrid structure Reissner– Mindlin plate Timoshenko beam boundary control dynamic stabilization strong stability |
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