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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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Existence of Attractors for a Nonlinear Timoshenko System with Delay

Journal of Dynamics and Differential Equations, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anderson J. A. Ramos   +3 more
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Dynamics of locally damped Timoshenko systems

Mathematics and Mechanics of Solids, 2022
In this paper, we study the long-time dynamics of a Timoshenko system modeling vibrations of beams with non-linear localized damping mechanisms acting on both displacement and angular rotation and subjected to non-linear source terms. Using recent quasi-stability methods, we prove the existence of smooth finite dimensional global attractor, which is ...
Mirelson M Freitas   +4 more
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On the control of a viscoelastic damped Timoshenko-type system

Applied Mathematics and Computation, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aissa Guesmia, Salim A. Messaoudi
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Pullback Dynamics of Non-autonomous Timoshenko Systems

Applied Mathematics & Optimization, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ma, To Fu   +2 more
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Dynamics of the Nonlinear Timoshenko System with Variable Delay

Applied Mathematics & Optimization, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yang, Xin-Guang   +2 more
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Exponential stability of thermoelastic Timoshenko system with Cattaneo’s law

ANNALI DELL'UNIVERSITA' DI FERRARA, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Djellali, F., Labidi, S., Taallah, F.
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Polynomial Decay for the Timoshenko System with Dynamical Boundary Conditions

Bulletin of the Malaysian Mathematical Sciences Society, 2022
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Ammar Khemmoudj, Naouel Kechiche
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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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Dynamics of nonlinear Reissner–Mindlin–Timoshenko plate systems

Mathematische Nachrichten, 2023
AbstractThe problem of Reissner–Mindlin–Timoshenko plate systems with nonlinear damping terms is considered. The main result is the existence of global attractors. By showing the system is gradient and asymptotic smoothness via a stabilizability inequality, we establish the existence of global attractors with finite fractal dimension. The continuity of
B. Feng   +3 more
openaire   +2 more sources

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