Results 11 to 20 of about 2,060 (225)

Stabilization of a linear Timoshenko system with infinite history and applications to the Timoshenko-heat systems

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, Salim A. Messaoudi, Abdelaziz Soufyane   +2 more
doaj   +3 more sources

Polynomial Decay of the Energy of Solutions of the Timoshenko System with Two Boundary Fractional Dissipations [PDF]

Fractal and Fractional
In this study, we examine Timoshenko systems with boundary conditions featuring two types of fractional dissipations. By applying semigroup theory, we demonstrate the existence and uniqueness of solutions.
Suleman Alfalqi, Hamid Khiar, Ahmed Bchatnia, Abderrahmane Beniani   +3 more
doaj   +2 more sources

STABILITY OF A TIMOSHENKO SYSTEM WITH CONSTANT DELAY [PDF]

International Journal of Apllied Mathematics, 2023
Issaka Ouédraogo, Gilbert Bayili
openalex   +2 more sources

Well-posedness and exponential stability for a linear damped Timoshenko system with second sound and internal distributed delay

Electronic Journal of Differential Equations, 2014
In this article we consider one-dimensional linear thermoelastic system of Timoshenko type with linear frictional damping and a distributed delay acting on the displacement equation. The heat flux of the system is governed by Cattaneo's law.
Tijani A. Apalara
doaj   +1 more source

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, Behrouz Asgarian, Vahid jafari Deligani   +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

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, Lei Ma, Yongkui Sun, Kai Zhang   +3 more
doaj   +1 more source

Exponential stability of Timoshenko system in thermoelasticity of second sound with a memory and distributed delay term

Open Mathematics, 2021
This article concerns linear one-dimensional thermoelastic Timoshenko system with memory and distributed delay terms where the Cattaneo law governs the heat flux q(x,t)q\left(x,t).
Moumen Abdelkader, Ouchenane Djamel, Choucha Abdelbaki, Zennir Khaled, Zubair Sulima A.   +4 more
doaj   +1 more source

Timoshenko systems with fading memory [PDF]

Dynamics of Partial Differential Equations, 2013
The decay properties of the semigroup generated by a linear Timoshenko system with fading memory are discussed. Uniform stability is shown to occur within a necessary and sufficient condition on the memory kernel.
CONTI, MONICA, DELL'ORO, FILIPPO, PATA, VITTORINO   +2 more
openaire   +3 more sources

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 , Sofian Abuelbacher Adam Saad, Rashid Jan, Salah Boulaaras   +3 more
doaj   +1 more source