On the stability of Timoshenko systems with Gurtin-Pipkin thermal law
Journal of Differential Equations, 2013 We analyze a differential system describing a Timoshenko beam coupled with a temperature evolution of Gurtin-Pipkin type. A necessary and sufficient condition for exponential stability is established in terms of the structural parameters of the equations.
Filippo Dell’Oro, Vittorino Pata
openalex +6 more sources
Regularity for the Timoshenko system with fractional damping
Journal of Engineering Research, 2023 17 pages.
Fredy Maglorio Sobrado Suárez
openalex +4 more sources
Energy decay for Timoshenko systems of memory type
Journal of Differential Equations, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Farid Ammar-Khodja +3 more
openalex +5 more sources
Timoshenko–Ehrenfest Beam‐Based Reconfigurable Elastic Metasurfaces for Multifunctional Wave Manipulation [PDF]
Advanced ScienceHerein, a Timoshenko–Ehrenfest beam‐based reconfigurable elastic metasurface is introduced that can perform multifunctional wave phenomena within a single substrate, featuring high transmission in the ultrabroadband frequency range.
Geon Lee +4 more
doaj +2 more sources
Asymptotic stability for thermodiffusion Timoshenko systems of type III
Electronic Journal of Differential EquationsIn this article, we study a Timoshenko model with thermal and mass diffusion effects. Heat and mass exchange with the environment during thermodiffusion in Timoshenko beam, where the heat conduction is given by Green and Naghdi, called thermoelasticity
Jiali Qin, Jianghao Hao
doaj +2 more sources
Optimal polynomial stability of the Timoshenko system with single fractional boundary dissipation
AIMS MathematicsThis study investigates Timoshenko systems with a single boundary condition involving fractional dissipation. Utilizing semigroup theory, we establish the existence and uniqueness of solutions.
Reem Alrebdi +2 more
doaj +2 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 +2 more sources
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
doaj +1 more source
Dynamics of a new thermoelastic Timoshenko system with second sound
Results in Applied Mathematics, 2021 This work studies the optimal and general stability of a thermoelastic Timoshenko system with second sound. More succinctly, under some assumptions on the parameters of the system, we derive an optimal and general decay result for the solution energy of ...
Cyril Dennis Enyi
doaj +1 more source
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
semanticscholar +1 more source