scholarly journals Exponential stabilization of a neutrally delayed viscoelastic Timoshenko beam

2019 ◽  
Vol 43 (2) ◽  
pp. 595-611
Author(s):  
Sebti KERBAL ◽  
Nasser Eddine TATAR
Keyword(s):  
Timoshenko Beam ◽  
Exponential Stabilization ◽  
Viscoelastic Timoshenko Beam

Dynamic Rate Effects on Timoshenko Beam Response

1985 ◽  
Vol 52 (2) ◽  
pp. 439-445 ◽  
Author(s):  
T. J. Ross
Keyword(s):  
Timoshenko Beam ◽  
Bending Moment ◽  
Laplace Transform Method ◽  
Transform Method ◽  
Rate Effects ◽  
The Laplace Transform ◽  
Step Loading ◽  
Fixed End ◽  
Constitutive Formulation ◽  
Viscoelastic Timoshenko Beam

The problem of a viscoelastic Timoshenko beam subjected to a transversely applied step-loading is solved using the Laplace transform method. It is established that the support shear force is amplified more than the support bending moment for a fixed-end beam when strain rate influences are accounted for implicitly in the viscoelastic constitutive formulation.

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.

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