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Exponential stability of thermoelastic Timoshenko system with Cattaneo’s law
Annali dell?Università di Ferrara, 2021F. Djellali, S. Labidi, F. Taallah
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Zeitschrift für Angewandte Mathematik und Physik, 2021
M. Cavalcanti+4 more
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M. Cavalcanti+4 more
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On a Timoshenko system with thermal coupling on both the bending moment and the shear force
Journal of evolution equations (Printed ed.), 2020M. O. Alves+4 more
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Stability conditions for thermodiffusion Timoshenko system with second sound
Zeitschrift für Angewandte Mathematik und Physik, 2021M. Aouadi, A. Ramos, A. Castejón
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Energy decay rates for the Timoshenko system of thermoelastic plates
Nonlinear Analysis: Theory, Methods & Applications, 2006The author considers the following model of thermoelastic vibrations of a plate, which includes the Timoshenko correction to plate dynamics. The state equation is: \[ u_{tt}+\Delta^2u-\Delta u_{tt}- M \biggl(\int_{\mathbb R^n}|\nabla u|^2\,dx\biggr)\Delta u + \Delta u - \theta + \Delta\theta = 0.\tag{1} \] \(M\) is a nondecreasing real valued function.
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Stability of a Timoshenko System with Localized Kelvin–Voigt Dissipation
, 2021Gabriel Aguilera Contreras+1 more
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Natural vibrations of systems of elastically connected Timoshenko beams
The Journal of the Acoustical Society of America, 1974The differential equations governing the flexural vibrations of systems of elastically connected parallel bars are derived considering the effects of rotary inertia and shear deformation. These equations are solved to find the natural frequencies and mode shapes of particular three- and two-beam systems. For the two-beam system, the present results are
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Stability Result for a New Viscoelastic–Thermoelastic Timoshenko System
Bulletin of the Malaysian Mathematical Sciences Society, 2020C. Enyi, B. Feng
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Timoshenko system with fractional operator in the memory and spatial fractional thermal effect
, 2020H. Dridi, A. Djebabla
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