Results 21 to 30 of about 22,368,455 (279)
Analysis of the thermoviscoelastic Timoshenko system with diffusion effect
Partial Differential Equations in Applied Mathematics, 2020 This paper is concerned with a new Timoshenko beam model with thermal, mass diffusion and viscoelastic effects. First, by the C0-semigroup theory, we prove the well posedness of the considered problem with Dirichlet boundary conditions. An exponential decay is obtained by construction of the Lyapunov functional. Finally, a numerical study is done based
Mohammad Elhindi +4 more
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Global stability for damped Timoshenko systems
Discrete & Continuous Dynamical Systems - A, 2003 We consider a nonlinear Timoshenko system as an initial-boundary value problem in a one-dimensional bounded domain. The system has a dissipative mechanism through frictional damping being present only in the equation for the rotation angle. We first give an alternative proof for a sufficient and necessary condition for exponential stability for ...
Muñoz Rivera, Jaime E., Racke, Reinhard
openaire +5 more sources
Electronic Journal of Differential Equations, 2012 In this article, we, first, consider a vibrating system of Timoshenko type in a one-dimensional bounded domain with an infinite history acting in the equation of the rotation angle.
Aissa Guesmia +2 more
doaj +3 more sources
Non-equilibrium thermodynamics of damped Timoshenko and damped Bresse systems [PDF]
arXiv, 2014 In this paper, we cast damped Timoshenko and damped Bresse systems into a general framework for non-equilibrium thermodynamics, namely the GENERIC (General Equation for Non-Equilibrium Reversible-Irreversible Coupling) framework. The main ingredients of GENERIC consist of five building blocks: a state space, a Poisson operator, a dissipative operator ...
Manh Hong Duong
arxiv +3 more sources
Decay rate of the Timoshenko system with one boundary damping
Evolution Equations & Control Theory, 2019 In this paper, we study the indirect boundary stabilization of the Timoshenko system with only one dissipation law. This system, which models the dynamics of a beam, is a hyperbolic system with two wave speeds. Assuming that the wave speeds are equal, we
D. Mercier, V. Régnier
semanticscholar +5 more sources
Spectral analysis and system of fundamental solutions for Timoshenko beams
Applied Mathematics Letters, 2005 AbstractWe have found a unified method to analyse Timoshenko beams under various boundary conditions that occurred in practice. Explicit asymptotic expressions for the spectrum are obtained. Our method is very simple but effective because explicit formulas are obtained for the system of fundamental solutions, which are very useful for other purposes ...
Xu, GQ, Vu, QP, Wang, JM, Yung, SP
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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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Elastic instability and free vibration analyses of axially functionally graded Timoshenko beams with variable cross-section [PDF]
Journal of Structural and Construction Engineering, 2020 In this paper, the critical buckling loads and natural frequencies of axially functionally graded non-prismatic Timoshenko beam with different boundary conditions are acquired using the Finite Difference Method (FDM).
Masoumeh Soltani +2 more
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AIMS Mathematics, 2023 In this work, we consider a nonlinear thermoelastic Timoshenko system with a time-dependent coefficient where the heat conduction is given by Coleman-Gurtin [1]. Consequently, the Fourier and Gurtin-Pipkin laws are special cases. We prove that the system
A. Al-Mahdi
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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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