Vibration Control of a Viscoelastic Translational Euler-Bernoulli Beam

2017 ◽  
Vol 24 (1) ◽  
pp. 167-199 ◽  
Author(s):  
Amirouche Berkani ◽  
Nasser-eddine Tatar ◽  
Abdelkarim Kelleche
2017 ◽  
Vol 40 (10) ◽  
pp. 3088-3094 ◽  
Author(s):  
Ning Ji ◽  
Jinkun Liu

In this paper, the vibration control problem for the payload at the end of a three-dimensional Euler–Bernoulli beam in the presence of input constraints and input disturbances is addressed. Disturbance observers are designed to estimate the disturbances on the tip payload. Based on the disturbance observers, a boundary control scheme is designed to suppress elastic vibration for the payload at the end of the beam. The smooth hyperbolic function is applied for the proposed control scheme, which can satisfy physical conditions and input constraints. It is proved that the proposed control scheme can be guaranteed in handling input constraints and disturbances. Finally, numerical simulations illustrate the effectiveness of the results.


2020 ◽  
Vol 357 (6) ◽  
pp. 3434-3450
Author(s):  
Xiuyu He ◽  
Yuhua Song ◽  
Zhiji Han ◽  
Shuang Zhang ◽  
Peng Jing ◽  
...  

2020 ◽  
Vol 2 (12) ◽  
Author(s):  
Muzamil Ali ◽  
Muhammad Waleed Khan ◽  
Muhammad Abid ◽  
Aman Ur Rehman

2020 ◽  
Vol 64 (1-4) ◽  
pp. 729-736
Author(s):  
Jincheng He ◽  
Xing Tan ◽  
Wang Tao ◽  
Xinhai Wu ◽  
Huan He ◽  
...  

It is known that piezoelectric material shunted with external circuits can convert mechanical energy to electrical energy, which is so called piezoelectric shunt damping technology. In this paper, a piezoelectric stacks ring (PSR) is designed for vibration control of beams and rotor systems. A relative simple electromechanical model of an Euler Bernoulli beam supported by two piezoelectric stacks shunted with resonant RL circuits is established. The equation of motion of such simplified system has been derived using Hamilton’s principle. A more realistic FEA model is developed. The numerical analysis is carried out using COMSOL® and the simulation results show a significant reduction of vibration amplitude at the specific natural frequencies. Using finite element method, the influence of circuit parameters on lateral vibration control is discussed. A preliminary experiment of a prototype PSR verifies the PSR’s vibration reduction effect.


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