Energy Decay Estimates of a Timoshenko System with Two Nonlinear Variable Exponent Damping Terms
Mathematics, 2023 This paper is concerned with the asymptotic behavior of the solution of a Timoshenko system with two nonlinear variable exponent damping terms. We prove that the system is stable under some specific conditions on the variable exponent and the equal wave ...
Adel M. Al‐Mahdi, M. Al‐Gharabli
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On the stability of a viscoelastic Timoshenko system with Maxwell-Cattaneo heat conduction
Differential Equations & Applications, 2022 . This paper discusses a thermoelastic Timoshenko system with viscoelastic damping acting on the shear force, and heat conduction given via Maxwell-Cattaneo’s law (usually called second sound) on the bending moment.
S. E. Mukiawa
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Fractal and Fractional, 2023 This paper concerns a nonhomogeneous singular fractional order system, with two frictional damping terms. This system can be considered as a generalization of the so-called Timoshenko system.
Said Mesloub, Reem K. Alhefthi
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About the stability to Timoshenko system with pointwise dissipation
Discrete & Continuous Dynamical Systems - S, 2022 In this paper we study the Timoshenko model over the interval \begin{document}$ (0, \ell) $\end{document} with pointwise dissipation at \begin{document}$ \xi\in (0, \ell) $\end{document}. We prove that this dissipation produces exponential stability when
J. Rivera, M. G. Naso
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Robust Global Boundary Vibration Control of Uncertain Timoshenko Beam With Exogenous Disturbances
IEEE Access, 2020 In this paper, the dynamics solution problem and the boundary control problem for the Timoshenko beam under uncertainties and exogenous disturbances are addressed.
Mohamed Ahmed Eshag +3 more
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Decay rate of the solutions to the Lord Shulman thermoelastic Timoshenko model
AIMS Mathematics, 2023 In this work, we deal with a one-dimensional Cauchy problem in Timoshenko system with thermal effect and damping term. The heat conduction is given by the theory of Lord-Shulman.
Abdelbaki Choucha +3 more
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Geometrical Nonlinearity for a Timoshenko Beam with Flexoelectricity
Nanomaterials, 2021 The Timoshenko beam model is applied to the analysis of the flexoelectric effect for a cantilever beam under large deformations. The geometric nonlinearity with von Kármán strains is considered.
Miroslav Repka +2 more
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Finite Element Modeling for Buckling Analysis of Tapered Axially Functionally Graded Timoshenko Beam on Elastic Foundation [PDF]
Mechanics of Advanced Composite Structures, 2020 In this study, an efficient finite element model with two degrees of freedom per node is developed for buckling analysis of axially functionally graded (AFG) tapered Timoshenko beams resting on Winkler elastic foundation.
Masoumeh Soltani
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Exponential Stability for a Nonlinear Timoshenko System with Distributed Delay
International Journal of Analysis and Applications, 2021 . This paper is concerned with a nonlinear Timoshenko system modeling clamped thin elastic beams with distributed delay time. The distributed delay is defined on feedback term associated to the equation for rotation angle.
Fahima Hebhoub, Sabrina, Benferdi
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A transmission problem for the Timoshenko system with one local Kelvin–Voigt damping and non-smooth coefficient at the interface [PDF]
Computational and Applied Mathematics, 2020 In this paper, we study the indirect stability of Timoshenko system with local or global Kelvin–Voigt damping, under fully Dirichlet or mixed boundary conditions. Unlike Zhao et al.
A. Wehbe, Mouhammad Ghader
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