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On Modeling and Uniform Stability of a Partially Dissipative Viscoelastic Timoshenko System
SIAM Journal on Mathematical Analysis, 2019In this paper we first explore the deduction of the mathematical model for some viscoelastic Timoshenko systems.
M. O. Alves +3 more
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A numerical algorithm for the nonlinear Timoshenko beam system
Numerical Methods for Partial Differential Equations, 2020AbstractAn initial boundary value problem is considered for the dynamic beam system urn:x-wiley:num:media:num22475:num22475-math-0001Its solution is found by means of an algorithm, the constituent parts of which are the finite element method, the implicit symmetric difference scheme used to approximate the solution with respect to the spatial and time
Jemal Peradze, Zviad Kalichava
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, 2019
In this paper, we study the indirect boundary stability and exact controllability of a one-dimensional Timoshenko system. In the first part of the paper, we consider the Timoshenko system with only one boundary fractional damping.
Mohammad Akil +3 more
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In this paper, we study the indirect boundary stability and exact controllability of a one-dimensional Timoshenko system. In the first part of the paper, we consider the Timoshenko system with only one boundary fractional damping.
Mohammad Akil +3 more
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, 2018
In the present work, we consider a dissipative Bresse‐Timoshenko type system, which is free of physical anomaly know as second spectrum of frequency according important observations made by Elishakoff et al., and we establish a new result of exponential ...
D. S. Almeida Júnior +3 more
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In the present work, we consider a dissipative Bresse‐Timoshenko type system, which is free of physical anomaly know as second spectrum of frequency according important observations made by Elishakoff et al., and we establish a new result of exponential ...
D. S. Almeida Júnior +3 more
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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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Long-time dynamics for a nonlinear Timoshenko system with delay
, 2017This paper is concerned with a nonlinear Timoshenko system with a time delay term in the internal feedback together with initial data and Dirichet boundary conditions. Under some suitable assumptions on the weights of feedback, we obtain the existence of
B. Feng, Xinguang Yang
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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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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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New decay results for a viscoelastic-type Timoshenko system with infinite memory
, 2021A. Al-Mahdi +3 more
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