A transmission problem for the Timoshenko system

C. A. Raposo, W.D. Bastos, M. L. Santos

Type: Article

Publication Date: 2007-01-01

Citations: 23

DOI: https://doi.org/10.1590/s0101-82052007000200003

Abstract

In this work we study a transmission problem for the model of beams developed by S.P. Timoshenko [10].We consider the case of mixed material, that is, a part of the beam has friction and the other is purely elastic.We show that for this type of material, the dissipation produced by the frictional part is strong enough to produce exponential decay of the solution, no matter how small is its size.We use the method of energy to prove exponential decay for the solution.

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+ PDF Chat	Existence and Asymptotic Stability of the Solution for the Timoshenko Transmission System with Distributed Delay	2023	Abdelkader Braik Khaled Zennir E. I. Hassan Alnadhief H. A. Alfedeel Safa M. Mirgani
+	Stability for a composite of Timoshenko laminated beams	2023	M. S. Alves Rodrigo Nunes Monteiro
+	Global existence and optimal decay rates for the Timoshenko system: The case of equal wave speeds	2014	Naofumi Mori Jiang Xu Shuichi Kawashima
+	Global existence and minimal decay regularity for the Timoshenko system: The case of non-equal wave speeds	2015	Jiang Xu Naofumi Mori Shuichi Kawashima
+	Dissipative structure and global existence in critical space for Timoshenko system of memory type	2018	Naofumi Mori
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Works Cited by This (4)

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+	Analyse mathématique et calcul numérique pour les sciences et les techniques	1984	Robert Dautray Jacques-Louis Lyons
+	A boundary thin obstacle problem for a wave equation	1989	Jong Uhn Kim
+	Exponential stability for the Timoshenko system with two weak dampings	2005	C. A. Raposo Jorge Ferreira M.L. Santos N.N.O. Castro
+	Energy decay for Timoshenko systems of memory type	2003	Farid Ammar-Khodja Assia Benabdallah Jaime E. Muñoz Rivera Reinhard Racke