The Effects of Symmetry on Optimal Transducer Location for Active Vibration Control

2012 ◽  
Author(s):  
A. H. Daraji ◽  
J. M. Hale
Keyword(s):  
Genetic Algorithm ◽  
Finite Element ◽  
Boundary Conditions ◽  
Electromechanical Coupling ◽  
Piezoelectric Sensor ◽  
Optimal Placement ◽  
Sensors And Actuators ◽  
Sensor Actuator ◽  
Modes Of Vibration ◽  
Active Vibration

In this article, the global optimal configuration of sensors and actuators has been investigated for active vibration reduction of plates with symmetrical and asymmetrical geometries and boundary conditions. An isotropic plate element stiffened by beam elements on its edges and with piezoelectric sensor/actuator pairs bonded to its surfaces is modeled, using Hamilton’s principle and the finite element method taking into account piezoelectric mass, stiffness and electromechanical coupling effects. The modeling is based on Mindlin-Reissner plate and Timoshenko beam theories. Optimization is obtained by means of a genetic algorithm using minimization of linear quadratic index is taken as an objective function. The program is written in Matlab m-code and incorporates results from an ANSYS finite element model of the basic structure to take the effects of the first six modes of vibration collectively. The plates with different boundary conditions and geometries are represented by the ANSYS package using two dimensional shell63 elements and three dimensional soild45 elements for the passive structure, and solid5 elements for the active piezoelectric components. The first six modes of vibration are validated experimentally. The genetic algorithm is used to obtain optimal placement of eight and ten piezoelectric sensor/actuator pairs to suppress the first six modes of vibration, investigating the effects of plate boundary conditions and geometry on the optimal distribution of piezoelectric actuators. It is shown that structures with symmetrical geometries and boundary conditions have optimal transducer locations distributed with the same axes of symmetry.

The Optimal Location of Piezoelectric Sensor/Actuator Based on Adaptive Genetic Algorithm

2014 ◽  
Vol 635-637 ◽  
pp. 799-804
Author(s):  
Xiu Feng Huang ◽  
Ming Hong ◽  
Hong Yu Cui
Keyword(s):  
Genetic Algorithm ◽  
Piezoelectric Sensor ◽  
Optimal Location ◽  
Optimal Placement ◽  
Adaptive Genetic Algorithm ◽  
Linear Quadratic ◽  
Sensors And Actuators ◽  
Control Programs ◽  
Sensor Actuator ◽  
Fortran Language

This paper considered the optimal placement of collocated piezoelectric actuator-sensor pairs on a thin cantilever plate using a modal-based linear quadratic independent modal space controller. LQR performance was taken as objective for finding the optimal location of sensor–actuator pairs.The discrete optimal sensor and actuator location problem was formulated in the framework of a zero–one optimization problem,which was solved by real-coded adaptive genetic algorithm (AGA). The vibration response of the piezoelectric plate was calculated using the finite element method (FEM).The optimization and vibration control programs were written by FORTRAN language. The results of numrical examples show that the adaptive genetic algorithm based on the minimum of LQR performance for the optimal location of sensors and actuators is feasible and effective.

scholarly journals State-Space Modeling and Active Vibration Control of Smart Flexible Cantilever Beam with the Use of Finite Element Method

2020 ◽  
Vol 10 (6) ◽  
pp. 6549-6556
Author(s):  
K. G. Aktas ◽  
I. Esen
Keyword(s):  
Finite Element ◽  
Vibration Control ◽  
State Space ◽  
Cantilever Beam ◽  
Active Vibration Control ◽  
Sensors And Actuators ◽  
Sensor Actuator ◽  
Lqr Controller ◽  
Smart Beam ◽  
Active Vibration

The aim of this study is to design a Linear Quadratic Regulator (LQR) controller for the active vibration control of a smart flexible cantilever beam. The mathematical model of the smart beam was created on the basis of the Euler-Bernoulli beam theory and the piezoelectric theory. State-space and finite element models used in the LQR controller design were developed. In the finite element model of the smart beam containing piezoelectric sensors and actuators, the beam was divided into ten finite elements. Each element had two nodes and two degrees of freedom were defined for each node, transverse displacement, and rotation. Two Piezoelectric ceramic lead Zirconate Titanate (PZT) patches were affixed to the upper and lower surfaces of the beam element as pairs of sensors and actuators. The location of the piezoelectric sensor and actuator pair changed and they were consecutively placed on the fixed part, the middle part, and the free end of the beam. In each case, the design of the LQR controller was made considering the first three dominant vibratory modes of the beam. The effect of the position of the sensor-actuator pair on the beam on the vibration damping capability of the controller was investigated. The best damping performance was found when the sensor-actuator pair was placed at the fixed end.

scholarly journals OPTIMAL PLACEMENT AND ACTIVE VIBRATION CONTROL OF COMPOSITE PLATES INTEGRATED PIEZOELECTRIC SENSOR/ACTUATOR PAIRS

2018 ◽  
Vol 56 (1) ◽  
pp. 113 ◽  
Author(s):  
Vu Van Tham ◽  
Tran Huu Quoc ◽  
Tran Minh Tu
Keyword(s):  
Vibration Control ◽  
Degrees Of Freedom ◽  
Active Vibration Control ◽  
Laminated Composite ◽  
Composite Plates ◽  
Piezoelectric Sensor ◽  
Optimal Placement ◽  
Laminated Composite Plates ◽  
Sensor Actuator ◽  
Active Vibration

In this study, a finite element model based on first-order shear deformation theory is presented for optimal placement and active vibration control of laminated composite plates with bonded distributed piezoelectric sensor/actuator pairs. The model employs the nine-node isoparametric rectangular element with 5 degrees of freedom for the mechanical displacements, and 2 electrical degrees of freedom. Genetic algorithm (GA) is applied to maximize the fundamental natural frequencies of plates; and the constant feedback control method is used for the vibration control analysis of piezoelectric laminated composite plates. The results of this study can be used to aid the placement of piezoelectric sensor/actuator pairs of smart composite plates as well as for robust controller design.

Determination of State Space Matrices for Active Vibration Control Using ANSYS Finite Element Package

2012 ◽  
Author(s):  
A. H. Daraji ◽  
J. M. Hale
Keyword(s):  
Finite Element ◽  
Vibration Control ◽  
State Space ◽  
Active Vibration Control ◽  
Linear Quadratic Control ◽  
Linear Quadratic ◽  
Sensors And Actuators ◽  
Sensor Actuator ◽  
Finite Element Package ◽  
Active Vibration

This paper concerns optimal placement of discrete piezoelectric sensors and actuators for active vibration control, using a genetic algorithm based on minimization of linear quadratic index as an objective function. A new method is developed to get state space matrices for simple and complex structures with bonded sensors and actuators, using the ANSYS finite element package taking into account piezoelectric mass, stiffness and electromechanical coupling effects. The state space matrices for smart structures are highly important in active vibration control for the optimisation of sensor and actuator locations and investigation of open and closed loop system control response, both using simulation and experimentally. As an example, a flexible flat plate with bonded sensor/actuator pairs is represented in ANSYS using three dimensional SOLID45 elements for the passive structure and SOLID5 for the piezoelectric elements, from which the necessary state space matrices are obtained. To test the results, the plate is mounted as a cantilever and two sensor/actuator pairs are located at the optimal locations. These are used to attenuate the first six modes of vibration using active vibration reduction based on a classical and optimal linear quadratic control scheme. The plate is subject to forced vibration at the first, second and third natural frequencies and represented in ANSYS using a proportional derivative controller and compared with a Matlab model based on ANSYS state space matrices using linear quadratic control. It is shown that the ANSYS state space matrices describe the system efficiently and correctly.

Optimal Placement of Piezoelectric Sensors and Actuators for Controlled Flexible Linkage Mechanisms

2005 ◽  
Vol 128 (2) ◽  
pp. 256-260 ◽  
Author(s):  
Xianmin Zhang ◽  
Arthur G. Erdman
Keyword(s):  
Vibration Control ◽  
Simulation Analysis ◽  
Active Vibration Control ◽  
Optimal Placement ◽  
Control Effect ◽  
Sensors And Actuators ◽  
Piezoelectric Sensors And Actuators ◽  
Active Vibration ◽  
Flexible Mechanism ◽  
Flexible Linkage

The optimal placement of sensors and actuators in active vibration control of flexible linkage mechanisms is studied. First, the vibration control model of the flexible mechanism is introduced. Second, based on the concept of the controllability and the observability of the controlled subsystem and the residual subsystem, the optimal model is developed aiming at the maximization of the controllability and the observability of the controlled modes and minimization of those of the residual modes. Finally, a numerical example is presented, which shows that the proposed method is feasible. Simulation analysis shows that to achieve the same control effect, the control system is easier to realize if the sensors and actuators are located in the optimal positions.

Self-powered active control of elastic and aeroelastic oscillations using piezoelectric material

2017 ◽  
Vol 28 (15) ◽  
pp. 2023-2035 ◽  
Author(s):  
Tarcísio Marinelli Pereira Silva ◽  
Carlos De Marqui
Keyword(s):  
Finite Element ◽  
Energy Harvesting ◽  
Vibration Control ◽  
The Self ◽  
Base Excitation ◽  
Sensors And Actuators ◽  
Multilayered Structures ◽  
Numerical Predictions ◽  
Active Vibration ◽  
Self Powered

Piezoelectric materials have been used as sensors and actuators in vibration control problems. Recently, the use of piezoelectric transduction in vibration-based energy harvesting has received great attention. In this article, the self-powered active vibration control of multilayered structures that contain both power generation and actuation capabilities with one piezoceramic layer for scavenging energy and sensing, another one for actuation, and a central substructure is investigated. The piezoaeroelastic finite element modeling is presented as a combination of an electromechanically coupled finite element model and an unsteady aerodynamic model. An electrical circuit that calculates the control signal based on the electrical output of the sensing piezoelectric layer and simultaneously energy harvesting capabilities is presented. The actuation energy is fully supplied by the harvested energy, which also powers active elements of the circuit. First, the numerical predictions for the self-powered active vibration attenuation of an electromechanically coupled beam under harmonic base excitation are experimentally verified. Then, the performance of the self-powered active controller is compared to the performance of a conventional active controller in another base excitation problem. Later, the self-powered active system is employed to damp flutter oscillations of a plate-like wing.

A HIGHER ORDER FINITE ELEMENT MODELING OF PIEZOLAMINATED SMART COMPOSITE PLATES AND ITS APPLICATION TO ACTIVE VIBRATION CONTROL

2007 ◽  
Vol 04 (01) ◽  
pp. 141-162 ◽  
Author(s):  
V. BALAMURUGAN ◽  
B. MANIKANDAN ◽  
S. NARAYANAN
Keyword(s):  
Finite Element ◽  
Vibration Control ◽  
Degrees Of Freedom ◽  
Active Vibration Control ◽  
Composite Plates ◽  
Piezoelectric Sensor ◽  
Higher Order ◽  
Interpolation Function ◽  
Smart Composite ◽  
Active Vibration

This paper presents a higher order — field consistent — piezolaminated 8-noded plate finite element with 36 elastic degrees-of-freedom per element and two electric degrees-of-freedom per element, one each for the piezoelectric sensor and actuator. The higher order plate theory used satisfies the stress and displacement continuity at the interface of the composite laminates and has zero shear stress on the top and bottom surfaces. The transverse shear deformation is of a higher order represented by the trigonometric functions allowing us to avoid the shear correction factors. In order to maintain the field consistency, the inplane displacements, u and v are interpolated using linear shape functions, the transverse displacement w is interpolated using hermite cubic interpolation function, while rotations θx and θy are interpolated using quadratic interpolation function. The element is developed to include stiffness and the electromechanical coupling of the piezoelectric sensor/actuator layers. The active vibration control performance of the piezolaminated smart composite plates has been studied by modeling them with the above element and applying various control strategies.

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