Control of an Axially Moving Timoshenko Beam Attached to a Moving Base

2021 ◽  
Author(s):  
Phuong-Tung Pham ◽  
Gyoung-Hahn Kim ◽  
Quoc-Chi Nguyen ◽  
Keum-Shik Hong
Keyword(s):  
Timoshenko Beam ◽  
Moving Base ◽  
Axially Moving ◽  
Axially Moving Timoshenko Beam

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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