scholarly journals Asymptotic limits and stabilization for the 1D nonlinear Mindlin-Timoshenko system

2010 ◽  
Vol 23 (3) ◽  
pp. 414-430 ◽  
Author(s):  
F. D. Araruna ◽  
P. Braz E Silva ◽  
E. Zuazua
Keyword(s):  
Timoshenko System

scholarly journals Quasi-stability property and attractors for a semilinear Timoshenko system

2016 ◽  
Vol 36 (11) ◽  
pp. 6117-6132 ◽  
Author(s):  
Luci H. Fatori ◽  
Marcio A. Jorge Silva ◽  
Vando Narciso
Keyword(s):  
Stability Property ◽  
Timoshenko System

Stabilization of a viscoelastic Timoshenko beam fixed into a moving base

2019 ◽  
Vol 14 (5) ◽  
pp. 501 ◽  
Author(s):  
Amirouche Berkani ◽  
Nasser-eddine Tatar
Keyword(s):  
Differential Equation ◽  
Ordinary Differential Equation ◽  
Equilibrium State ◽  
Timoshenko Beam ◽  
Relaxation Function ◽  
Control Force ◽  
Timoshenko System ◽  
Translational Displacement ◽  
Moving Base ◽  
Viscoelastic Timoshenko Beam

In this paper, we are concerned with a cantilevered Timoshenko beam. The beam is viscoelastic and subject to a translational displacement. Consequently, the Timoshenko system is complemented by an ordinary differential equation describing the dynamic of the base to which the beam is attached to. We establish a control force capable of driving the system to the equilibrium state with a certain speed depending on the decay rate of the relaxation function.

Exact controllability for the semilinear Mindlin-Timoshenko system

2019 ◽  
Vol 480 (2) ◽  
pp. 123432
Author(s):  
G.O. Antunes ◽  
F.D. Araruna ◽  
A. Mercado
Keyword(s):  
Exact Controllability ◽  
Timoshenko System

An inverse inequality for a Bresse–Timoshenko system without second spectrum of frequency

2020 ◽  
Vol 114 (6) ◽  
pp. 709-719 ◽  
Author(s):  
A. J. A. Ramos ◽  
D. S. Almeida Júnior ◽  
L. G. R. Miranda
Keyword(s):  
Timoshenko System ◽  
Inverse Inequality ◽  
Second Spectrum

On a Timoshenko system with thermal coupling on both the bending moment and the shear force

2019 ◽  
Vol 20 (1) ◽  
pp. 295-320 ◽  
Author(s):  
M. O. Alves ◽  
A. H. Caixeta ◽  
M. A. Jorge Silva ◽  
J. H. Rodrigues ◽  
D. S. Almeida Júnior
Keyword(s):  
Shear Force ◽  
Bending Moment ◽  
Thermal Coupling ◽  
Timoshenko System
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