scholarly journals Optimal placement of sensors and actuators for active vibration reduction of a flexible structure using a genetic algorithm based on modified Hinfinity

2012 ◽  
Vol 382 ◽  
pp. 012036 ◽  
Author(s):  
J M Hale ◽  
A H Daraji
Keyword(s):  
Genetic Algorithm ◽  
Vibration Reduction ◽  
Optimal Placement ◽  
Flexible Structure ◽  
Sensors And Actuators ◽  
Active Vibration

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.

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.

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

2003 ◽  
Author(s):  
Xianmin Zhang ◽  
Arthur G. Erdman
Keyword(s):  
Active Vibration Control ◽  
Optimal Placement ◽  
Objective Functions ◽  
Optimal Model ◽  
Sensors And Actuators ◽  
Variable Metric ◽  
Piezoelectric Sensors And Actuators ◽  
Active Vibration ◽  
Variable Metric Method ◽  
Flexible Linkage

The optimal placement of sensors and actuators in the active vibration control of flexible linkage mechanisms is studied. Based on the concept of the controllability and the observability of the controlled subsystem and the residual subsystem, the objective functions are proposed aiming at the maximization of the controllability and the observability of the controlled modes and minimization of those of the residual modes. The optimal model is solved using the modified constrained variable metric method. Numerical example shows the validness of the proposed modeling.

New Methodology for Optimal Placement of Piezoelectric Sensor/Actuator Pairs for Active Vibration Control of Flexible Structures

2017 ◽  
Vol 140 (1) ◽  
Author(s):  
Ali H. Daraji ◽  
Jack M. Hale ◽  
Jianqiao Ye
Keyword(s):  
Vibration Reduction ◽  
Flexible Structures ◽  
Optimal Solution ◽  
Computational Effort ◽  
Optimization Techniques ◽  
Optimal Placement ◽  
Simplified Approach ◽  
Average Percentage ◽  
Sensor Actuator ◽  
Active Vibration

This paper describes a computationally efficient method to determine optimal locations of sensor/actuator (s/a) pairs for active vibration reduction of a flexible structure. Previous studies have tackled this problem using heuristic optimization techniques achieved with numerous combinations of s/a locations and converging on a suboptimal or optimal solution after multithousands of generations. This is computationally expensive and directly proportional to the number of sensors, actuators, possible locations on structures, and the number of modes required to be suppressed (control variables). The current work takes a simplified approach of modeling a structure with sensors at all locations, subjecting it to external excitation force or structure base excitation in various modes of interest and noting the locations of n sensors giving the largest average percentage sensor effectiveness. The percentage sensor effectiveness is measured by dividing all sensor output voltage over the maximum for each mode using time and frequency domain analysis. The methodology was implemented for dynamically symmetric and asymmetric structures under external force and structure base excitations to find the optimal distribution based on time and frequency responses analysis. It was found that the optimized sensor locations agreed well with the published results for a cantilever plate, while with very much reduced computational effort and higher effectiveness. Furthermore, it was found that collocated s/a pairs placed in these locations offered very effective active vibration reduction for the structure considered.

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.

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