Modeling of Annular Plate With Piezoelectric Actuators for Active Vibration Control

2002 ◽  
Author(s):  
El Mostafa Sekouri ◽  
Yan-Ru Hu ◽  
Anh Dung Ngo
Keyword(s):  
Analytical Approach ◽  
Natural Frequencies ◽  
Annular Plate ◽  
Electrical Response ◽  
Active Vibration Control ◽  
Piezoelectric Actuators ◽  
Mode Shapes ◽  
State Behavior ◽  
Element Approach ◽  
Active Vibration

This paper presents an analytical approach for modeling the mechanical-electrical response of annular plate components of space structures containing distributed piezoelectric under static as well as dynamic mechanical or electrical loadings. The analytical approach used in this paper is based on the Kirchhoff plate model. The equations governing the dynamics of the plate, relating the strains in the piezoelectric elements to the strain induced in the system, are derived for annular plate using the partial differential equation. The natural frequencies and mode shapes of the structures were determined by modal analysis. In addition, the harmonic analysis is performed for analyzing the steady-state behavior of the structures subjected to cyclic sinusoidal loads. Numerical simulation results are obtained using finite element approach. Experiments using a thin circular aluminum plate structure with distributed piezoelectric actuators were also conducted to verify the analysis and the computer simulations. Relatively good agreements between the results of these three approaches are observed. Finally, the results show that the model can predict natural frequencies and modes shapes of the plate very accurately.

Hybrid Active Vibration Control of Rotorbearing Systems Using Piezoelectric Actuators

1993 ◽  
Vol 115 (1) ◽  
pp. 111-119 ◽  
Author(s):  
A. B. Palazzolo ◽  
S. Jagannathan ◽  
A. F. Kascak ◽  
G. T. Montague ◽  
L. J. Kiraly
Keyword(s):  
Vibration Control ◽  
Search Algorithm ◽  
Active Vibration Control ◽  
Piezoelectric Actuators ◽  
Operating Speed ◽  
Speed Range ◽  
Active Vibration ◽  
Linear Fit ◽  
Hybrid Interface ◽  
Grid Search Algorithm

The vibrations of a flexible rotor are controlled using piezoelectric actuators. The controller includes active analog components and a hybrid interface with a digital computer. The computer utilizes a grid search algorithm to select feedback gains that minimize a vibration norm at a specific operating speed. These gains are then downloaded as active stiffnesses and dampings with a linear fit throughout the operating speed range to obtain a very effective vibration control.

Comparison of Active and Hybrid Vibration Confinement With Conventional Active Vibration Control

1999 ◽  
Author(s):  
Lawrence R. Corr ◽  
William W. Clark
Keyword(s):  
Vibration Control ◽  
Control Method ◽  
Numerical Study ◽  
Active Vibration Control ◽  
Piezoelectric Actuators ◽  
Control Technique ◽  
Flexible Beam ◽  
Velocity Feedback ◽  
Active Vibration ◽  
Piezoelectric Actuators And Sensors

Abstract This paper presents a numerical study in which active and hybrid vibration confinement is compared with a conventional active vibration control method. Vibration confinement is a vibration control technique that is based on reshaping structural modes to produce “quiet areas” in a structure as opposed to adding damping as in conventional active or passive methods. In this paper, active and hybrid confinement is achieved in a flexible beam with two pairs of piezoelectric actuators and sensors and with two vibration absorbers. For comparison purposes, active damping is achieved also with two pairs of piezoelectric actuators and sensors using direct velocity feedback. The results show that both approaches are effective in controlling vibrations in the targeted area of the beam, with direct velocity feedback being slightly more cost effective in terms of required power. When combined with passive confinement, however, each method is improved with a significant reduction in required power.

Eigenstructure Calculation for Mixed Vibratory Systems Composed of a Continuous Beam and Concentrated Actuators

2001 ◽  
Author(s):  
Michael J. Panza
Keyword(s):  
Active Vibration Control ◽  
Open Loop ◽  
Mode Shapes ◽  
Mixed System ◽  
Continuous Beam ◽  
Actuator Dynamics ◽  
Asymmetric System ◽  
Lumped Element ◽  
Active Vibration ◽  
Parameter Values

Abstract A calculation of the eigenstructure for mixed vibratory systems composed of a continuous beam and concentrated actuators is presented. The combined distributed and lumped element systems include actuators for active vibration control. The focus of this paper is on open loop models where with zero voltage input to the actuators. The continuous beam is isolated and discretized via modal analysis and combined with the actuator dynamics to form an asymmetric system. The resulting system is cast into a generalized nondimensional form suitable for studying system behavior for a broad range of system parameters. The solution is expressed as a series using the isolated beam mode eigenfunctions as a basis. The coefficients in the series are obtained from the complex eigensolution of the asymmetric system. Two examples are used to show a comparison of the complex mixed system and real isolated beam natural frequencies and mode shapes. The effect of beam and actuator parameter values are investigated via a key dimensionless parameter.

Effects of Actuators and Sensors Position on Independent Modal Control Performance

2012 ◽  
Author(s):  
Simone Cinquemani ◽  
Ferruccio Resta
Keyword(s):  
Natural Frequencies ◽  
Acoustic Noise ◽  
Dynamic Performance ◽  
Active Vibration Control ◽  
Spillover Effects ◽  
Point Of View ◽  
Control Technique ◽  
Modal Control ◽  
Sensors And Actuators ◽  
Active Vibration

Independent modal control technique allows to change the eigenvalues of a system, without changing its eigenvectors. From a mechanical point of view, it means it is possible to modify the natural frequencies and the damping of a n-DoF system, letting modal shapes unchanged. Independent modal control can be profitably used in active vibration control increasing the damping of the system without changing its natural frequencies and vibration modes. A control of this type can improve the dynamic performance, reduce the vibratory phenomenon (and the resulting acoustic noise) and increase the fatigue strength of the system. This work demonstrates how the performance of the control depends on the number and position of sensors and actuators used besides, obviously, on the reduced model used to synthesize the control itself. Finally the paper suggests a simple optimum function to minimize the spillover effects due to unmodeled modes. Theoretical aspects are supported by numerical simulations.

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