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Decay property of Timoshenko system in thermoelasticity

Mathematical Methods in the Applied Sciences, 2011
We investigate the decay property of a Timoshenko system of thermoelasticity in the whole space for both Fourier and Cattaneo laws of heat conduction. We point out that although the paradox of infinite propagation speed inherent in the Fourier law is removed by changing to the Cattaneo law, the latter always leads to a solution with the decay property ...
Said-Houari, Belkacem, Kasimov, Aslan R.
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Thermoelastic Timoshenko system free of second spectrum

Applied Mathematics Letters, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tijani A. Apalara   +2 more
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Stability to weakly dissipative Timoshenko systems

Mathematical Methods in the Applied Sciences, 2013
In this paper, we consider the Timoshenko systems with frictional dissipation working only on the vertical displacement. We prove that the system is exponentially stable if and only if the wave speeds are the same. On the contrary, we show that the Timoshenko systems is polynomially stable giving the optimal decay rate. Copyright © 2013 John Wiley &
Almeida Júnior, D. S.   +2 more
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Exponential stability of thermoelastic Timoshenko system with Cattaneo’s law

ANNALI DELL'UNIVERSITA' DI FERRARA, 2021
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Djellali, F., Labidi, S., Taallah, F.
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Boundary Feedback Stabilization of Kirchhoff-Type Timoshenko System

Journal of Dynamical and Control Systems, 2014
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Wu, Yuhu, Xue, Xiaoping
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Stability Result for a New Viscoelastic–Thermoelastic Timoshenko System

Bulletin of the Malaysian Mathematical Sciences Society, 2020
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Cyril Dennis Enyi, Baowei Feng
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Boundary exact controllability for a porous elastic Timoshenko system

Applications of Mathematics, 2020
In this paper, the authors consider the boundary exact controllability of a one-dimensional Timoshenko-type beam fixed at right end and at left end two controls act on the transverse displacement and the rotation angle, respectively. By using the HUM method, the authors prove that the system is boundary exactly controllable in the usual energy space ...
Santos, Manoel J.   +2 more
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Applicability of Damped Outrigger Systems Using Timoshenko Beam Theory

International Journal of Structural Stability and Dynamics, 2022
Recently, applying damped outriggers in high-rise buildings to reduce vibration due to earthquake and wind has attracted a lot of attention. By placing energy dissipated devices vertically between the end of outriggers and perimeter columns, the damped outrigger systems emphasize the supplementary damping rather than stiffness. This paper investigates
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A boundary obstacle problem for the Mindlin–Timoshenko system

Mathematical Methods in the Applied Sciences, 2008
AbstractWe consider the dynamical one‐dimensional Mindlin–Timoshenko model for beams. We study the existence of solutions for a contact problem associated with the Mindlin–Timoshenko system. We also analyze how its energy decays exponentially to zero as time goes to infinity. Copyright © 2008 John Wiley & Sons, Ltd.
Araruna, F. D.   +2 more
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Timoshenko beams and flexible multibody system dynamics

Journal of Sound and Vibration, 1987
A method for the dynamic analysis of flexible multibody systems that accounts for rotary inertia and shear deformation effects is presented. Flexible components in the system are discretized by using the finite element method. Because of the large rotations of the system components, a set of reference co-ordinates are employed to describe the motion of
E.M. Bakr, A.A. Shabana
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