H2-optimal vibration control using receptance-based regional eigenvalue assignment

2022 ◽  
Vol 167 ◽  
pp. 108591
Author(s):  
Xiaojun Wei ◽  
Ran Xia ◽  
John E. Mottershead ◽  
Xuhui He
Keyword(s):  
Vibration Control ◽  
Eigenvalue Assignment

scholarly journals No spillover partial eigenvalue assignment in second-order linear systems using the Brauer’s theorem and dense influence matrices

2018 ◽  
Vol 211 ◽  
pp. 14009 ◽  
Author(s):  
Jessica Motta ◽  
Marconi de Almeida ◽  
Tito Santos ◽  
José Araújo
Keyword(s):  
Vibration Control ◽  
Active Vibration Control ◽  
Engineering Application ◽  
Second Order ◽  
Structural Vibration ◽  
Attractive Alternative ◽  
Influence Matrix ◽  
Perturbation Theorem ◽  
Order Linear ◽  
Eigenvalue Assignment

The control of vibrations for systems with second-order linear dynamics is a cornerstone for several engineering application, as structural vibration control in civil and aerospace structures. In such systems, sometimes only a few eigenvalues must be mitigated in situations as resonances, flutter, and another dangerous vibratory phenomenon. The use of active vibration control is an attractive alternative due to its flexibility and the availability of general design approaches. In the case of partial eigenvalue assignment, no spillover can be achieved, that is, only a small spectrum or eigenstructure partition is reallocated, with the remaining being unperturbed. In this paper, the no spillover property of Brauer’s spectrum perturbation theorem is applied to compute a dense influence matrix structure of actuation, reassigning then the dangerous target eigenvalues and kept the remaining of the spectrum unchanged. A Sylvester equation must be solved using only the part of the spectrum to be reassigned. The results are tested in a benchmark taken from the specialized literature, and thus confirming its effectiveness.

Modeling and Evaluation of Magnetorheological Dampers with Fluid Leakage for Cable Vibration Control

2021 ◽  
Vol 26 (2) ◽  
pp. 04020119
Author(s):  
Peng Zhou ◽  
Min Liu ◽  
Weiming Kong ◽  
Yingmei Xu ◽  
Hui Li
Keyword(s):  
Vibration Control ◽  
Magnetorheological Dampers ◽  
Cable Vibration ◽  
Fluid Leakage

Reduction of structural vibrations with the piezoelectric stacks ring

2020 ◽  
Vol 64 (1-4) ◽  
pp. 729-736
Author(s):  
Jincheng He ◽  
Xing Tan ◽  
Wang Tao ◽  
Xinhai Wu ◽  
Huan He ◽  
...  
Keyword(s):  
Vibration Control ◽  
Mechanical Energy ◽  
Electrical Energy ◽  
Structural Vibrations ◽  
Rotor Systems ◽  
Fea Model ◽  
Piezoelectric Stacks ◽  
Shunt Damping ◽  
Reduction Effect ◽  
Euler Bernoulli Beam

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.

Examination of Vibration Control of Linear Oscillatory Actuator

2009 ◽  
Vol 129 (2) ◽  
pp. 184-190 ◽  
Author(s):  
Bu Yinggang ◽  
Ryota Aotsuka ◽  
Tsutomu Mizuno
Keyword(s):  
Vibration Control
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