Results 11 to 20 of about 22,368,455 (279)
Timoshenko systems with indefinite damping [PDF]
Journal of Mathematical Analysis and Applications, 2008 AbstractWe consider the Timoshenko system in a bounded domain (0,L)⊂R1. The system has an indefinite damping mechanism, i.e. with a damping function a=a(x) possibly changing sign, present only in the equation for the rotation angle. We shall prove that the system is still exponentially stable under the same conditions as in the positive constant ...
Reinhard Racke, Jaime E. Muñoz Rivera
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Classical solutions of the Timoshenko system [PDF]
Advances in Differential Equations, 2002 We prove the existence and uniqueness of a $C^2$--solution of the Timoshenko system for the motion of an elastic beam. In addition, we give pointwise estimates for the displacement, rotation, shear angle and their derivatives with constants explicitly calculated. The method of proof is based on the Hille--Yosida operator theory.
Grimmer, R., Sinestrari, E.
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A transmission problem for the Timoshenko system [PDF]
Computational & Applied Mathematics, 2007 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 ...
Raposo, C. A. +2 more
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On the stability of Timoshenko systems with Gurtin–Pipkin thermal law
Journal of Differential Equations, 2014 We analyze a differential system describing a Timoshenko beam coupled with a temperature evolution of Gurtin-Pipkin type. A necessary and sufficient condition for exponential stability is established in terms of the structural parameters of the equations.
DELL'ORO, FILIPPO, PATA, VITTORINO
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General decay in a Timoshenko-type system with thermoelasticity with second sound [PDF]
Advances in Nonlinear Analysis, 2015 In this article, we consider a vibrating nonlinear Timoshenko system with thermoelasticity with second sound. We discuss the well-posedness and the regularity of solutions using the semi-group theory.
Ayadi Mohamed Ali +3 more
doaj +2 more sources
Energy decay for Timoshenko systems of memory type
Journal of Differential Equations, 2003 AbstractLinear systems of Timoshenko type equations for beams including a memory term are studied. The exponential decay is proved for exponential kernels, while polynomial kernels are shown to lead to a polynomial decay. The optimality of the results is also investigated.
Ammar-Khodja, F. +3 more
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Nonlinear Damped Timoshenko Systems with Second Sound - Global Existence and Exponential Stability [PDF]
, 2018 In this paper, we consider nonlinear thermoelastic systems of Timoshenko type in a one-dimensional bounded domain. The system has two dissipative mechanisms being present in the equation for transverse displacement and rotation angle - a frictional damping and a dissipation through hyperbolic heat conduction modelled by Cattaneo's law, respectively ...
Salim A. Messaoudi +2 more
arxiv +3 more sources
General Decay in some Timoshenko-type systems with thermoelasticity second sound [PDF]
arXiv, 2015 In this article, we consider a vibrating nonlinear Timoshenko system with thermoelasticity with second sound. We discuss the well-posedness and the regularity of Timoshenko solution using the semi-group theory. Moreover, we etablish an explicit and general decay results for a wide class of relaxating functions which depend on a stability number $\mu$.
Mohamed Ayadi +3 more
arxiv +3 more sources
On the stability of Bresse and Timoshenko systems with hyperbolic heat conduction [PDF]
Journal of Differential Equations 281 (2021) 148-198, 2020 We investigate the stability of three thermoelastic beam systems with hyperbolic heat conduction. First, we study the Bresse-Gurtin-Pipkin system, providing a necessary and sufficient condition for the exponential stability and the optimal polynomial decay rate when the condition is violated.
arxiv +5 more sources
Regularity for the Timoshenko system with fractional damping
Journal of Engineering Research, 2023 17 pages.
Fredy Maglorio Sobrado Suárez
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