Vibration control of an HDD disk-spindle system using piezoelectric bimorph shunt damping: II. Optimal design and shunt damping implementation

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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Optimal Design of Vibration Control System for a Structure Based on Linear Matrix Inequality Approach

Journal of the Wind Engineering Institute of Korea ◽

10.37109/weik.2019.23.4.203 ◽

2019 ◽

Vol 23 (4) ◽

pp. 203-209

Author(s):

EuiYong Kim ◽

◽

Waon-Ho Yi ◽

Jae-Seung Hwang

Keyword(s):

Control System ◽

Optimal Design ◽

Linear Matrix Inequality ◽

Vibration Control ◽

Linear Matrix ◽

Matrix Inequality ◽

Linear Matrix Inequality Approach

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Simultaneous Optimal Design of the Lyapunov-Based Semi-Active Control and the Semi-Active Vibration Control Device: Inverse Lyapunov Approach

ASME 2010 Pressure Vessels and Piping Conference: Volume 8 ◽

10.1115/pvp2010-25883 ◽

2010 ◽

Author(s):

Kazuhiko Hiramoto ◽

Taichi Matsuoka ◽

Akira Fukukita ◽

Katsuaki Sunakoda

Keyword(s):

Optimal Design ◽

Lyapunov Function ◽

Vibration Control ◽

Active Control ◽

Control Device ◽

Ball Screw ◽

Design Parameters ◽

Resistance Force ◽

Control Law ◽

Lyapunov Approach

We address a simultaneous optimal design problem of a semi-active control law and design parameters in a vibration control device for civil structures. The Vibration Control Device (VCD) that is being developed by authors is used as the semi-active control device in the present paper. The VCD is composed of a mechanism of a ball screw with a flywheel for the inertial resistance force and an electric motor with an electric circuit for the damping resistance force. A new bang-bang type semi-active control law referred to as Inverse Lyapunov Approach is proposed as the semi-active control law. In the Inverse Lyapunov Approach the Lyapunov function is searched so that performance measures in structural vibration control are optimized in the premise of the bang-bang type semi-active control based on the Lyapunov function. The design parameters to determine the Lyapunov function and the design parameters of the VCD are optimized for the good performance of the semi-active control system. The Genetic Algorithm is employed for the optimal design.

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