Distributed Modal Identification and Vibration Control of Continua: Piezoelectric Finite Element Formulation and Analysis

1991 ◽  
Vol 113 (3) ◽  
pp. 500-505 ◽  
Author(s):  
H. S. Tzou ◽  
C. I. Tseng
Keyword(s):  
Finite Element ◽  
Vibration Control ◽  
Rapid Development ◽  
Structural Identification ◽  
Modal Identification ◽  
Element Formulation ◽  
Sensors And Actuators ◽  
Integrated Sensor ◽  
Sensor Actuator ◽  
And Control

“Smart” continua with integrated sensor/actuator for structural identification and control have drawn much attention in recent years due to the rapid development of high-performance “smart” structures. The continua are distributed and flexible in nature. Thus, distributed dynamic measurement and active vibration control are of importance to their high-demanding performance. In this paper, continua (shells or plates) integrated with distributed piezoelectric sensors and actuators are studied using a finite element technique. A new piezoelectric finite element with internal degrees of freedom is derived. Two control algorithms, namely, constant gain feedback control and Lyapunov control, are implemented. Structural identification and control of a plate model with distributed piezoelectric sensor/actuator is studied. Distributed modal voltage and control effectiveness of mono and biaxially polarized piezoelectric actuators are evaluated.

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.

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.

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 comparative study for collocated and non-collocated sensor/actuator placement in vibration control of a maneuvering flexible satellite

2014 ◽  
Vol 229 (8) ◽  
pp. 1415-1424 ◽  
Author(s):  
Morteza Shahravi ◽  
Milad Azimi
Keyword(s):  
Vibration Control ◽  
Closed Loop ◽  
Equations Of Motion ◽  
Lyapunov Analysis ◽  
Closed Loop System ◽  
Sensors And Actuators ◽  
Sensor Actuator ◽  
Attitude Maneuver ◽  
System Equations ◽  
Actuator Placement

This paper presents a study concerning the vibration control of smart flexible sub-structures of satellite during attitude maneuver. A comparison between the collocated and non-collocated piezoceramic patches acting as sensors and actuators is performed in order to investigate their effectiveness to suppress vibrations in flexible substructures. A rigid hub with two elastic appendages containing surface bounded piezoelectric patches is being considered as satellite model. Finite element method and Lagrangian formulation are used for derivation of system equations of motion. Stability proof of the overall closed-loop system is given via Lyapunov analysis. The numerical simulations verify the results of the study.

Control of Oscillations of a Wing Subjected to 3D Unsteady Subsonic Aerodynamic Loads Using Piezoelectric Actuators

2012 ◽  
Author(s):  
Tahereh Mirmohammadi ◽  
Arun K. Misra ◽  
Dan Mateescu
Keyword(s):  
Control Method ◽  
Three Dimensional ◽  
Element Formulation ◽  
Sensors And Actuators ◽  
Aerodynamic Loading ◽  
Aerodynamic Model ◽  
Active Feedback ◽  
Feedback Control Method ◽  
And Control ◽  
Actuator Placement

In the recent years, using piezoelectric material as sensors and actuators has drawn significant attention in vibration analysis and control of structures. In the present paper, bonded piezoelectric sensors and actuators have been used to control the aeroelastic oscillations of a cantilever wing under the effects of three-dimensional unsteady subsonic aerodynamic loading. An aerodynamic model using a numerical panel method is developed and validated to calculate the three-dimensional unsteady aerodynamic loading and finite element formulation is applied to model the wing structure as a cantilever plate undergoing small transverse oscillations. The structural and aerodynamic models are combined to simulate the aeroelastic oscillations and interchange the data simultaneously. An active feedback control method to suppress the oscillations is presented and investigated. Finally, an analysis is performed to examine the effects of actuator placement on the wing surface in suppression of oscillations.

Active Control of a Plate Using Segmented Distributed Sensors and Actuators: Finite Element Development and Analysis

1991 ◽  
Author(s):  
H. S. Tzou ◽  
H. Bahrami
Keyword(s):  
Finite Element ◽  
Active Control ◽  
Variational Equation ◽  
Flexible Structures ◽  
Monitoring And Control ◽  
Sensors And Actuators ◽  
Distributed Sensors ◽  
Computation Efficiency ◽  
Piezoelectric Structure ◽  
And Control

Abstract Distributed sensing and control of flexible structures have drawn much attention in recent years. Piezoelectric elements can be used with an elastic structure as sensors and actuators for structural monitoring and control applications. This paper presents a development of a thin piezoelectric finite element applied to active control of flexible structures. A piezoelectric finite element is derived using the variational equation and Hamilton’s principle. System equations of a piezoelectric structure are formulated accordingly. Guyan’s reduction technique is incorporated to improve the computation efficiency. Feedback control algorithms are also derived and implemented in the finite element code. Applications of the technique to a plate with segmented distributed sensora/actuators are studied and effectiveness evaluated.

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