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Properties of global and exponential attractors for nonlinear thermo-diffusion Timoshenko system
Journal of Mathematics and Physics, 2019In this paper, we consider a new Timoshenko beam model with thermal and mass diffusion effects according to the Gurtin-Pinkin model. Heat and mass exchange with the environment during thermodiffusion in Timoshenko beam, depending on the past history of ...
M. Aouadi, A. Castejón
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A boundary obstacle problem for the Mindlin–Timoshenko system
Mathematical Methods in the Applied Sciences, 2008AbstractWe 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.
Milton de Lacerda Oliveira +2 more
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Exponential stability for a thermo-viscoelastic Timoshenko system with fading memory
Journal of Mathematical Analysis and Applications, 2022B. M. Calsavara +2 more
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Energy decay to Timoshenko system with indefinite damping
Mathematical Methods in the Applied Sciences, 2019We consider the classical Timoshenko system for vibrations of thin rods. The system has an indefinite damping mechanism, ie, it has a damping function a=a(x) possibly changing sign, present only in the equation for the vertical displacement. We shall prove that exponential stability depends on conditions regarding of the indefinite damping function a ...
Luci H. Fatori +3 more
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Exact controllability for the semilinear Mindlin-Timoshenko system
Journal of Mathematical Analysis and Applications, 2019Abstract We consider the dynamical one-dimensional Mindlin–Timoshenko system for beams. We obtain a global exact controllability result for this semilinear system with superlinear nonlinearities. For this purpose, we establish an observability estimate for the linearized system with bounded potentials.
G.O. Antunes, F.D. Araruna, A. Mercado
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Asymptotic behavior for Timoshenko systems with fractional damping
Asymptotic Analysis, 2019This article deals with the asymptotic behavior of the solutions of a Timoshenko beam with a fractional damping. The damping acts only in one of the equations and depends on a parameter [Formula: see text]. Timoshenko systems with frictional or Kelvin–Voigt dampings are particular cases of this model.
Cleverson Roberto da Luz +1 more
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New decay results for a viscoelastic-type Timoshenko system with infinite memory
, 2021A. Al-Mahdi +3 more
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Pullback Dynamics of Non-autonomous Timoshenko Systems
Applied Mathematics & Optimization, 2017This paper is concerned with the Timoshenko system, a recognized model for vibrations of thin prismatic beams. The corresponding autonomous system has been widely studied. However, there are only a few works dedicated to its non-autonomous counterpart.
To Fu Ma +2 more
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Energy decay for damped Shear beam model and new facts related to the classical Timoshenko system
Applied Mathematics Letters, 2021D. S. A. Júnior, A. Ramos, M. Freitas
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Dual Variables System Analysis for Timoshenko Beam
Applied Mechanics and Materials, 2013Regarding the displacements and internal forces of Timoshenko beams as dual variables, Timoshenko beam problems were included into dual variables system. Corresponding to state transfer solution of Hamiltonian dual equation, transfer form solution of dual variables for Timoshenko beams was presented.
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