scholarly journals Vibrations piezo-control of FGM beam in a thermal environment

2019 ◽  
Vol 286 ◽  
pp. 01001
Author(s):  
K. El Harti ◽  
MED. Rahmoune ◽  
M. Sanbi ◽  
R. Saadani ◽  
M. Bentaleb ◽  
...  

An analytical method on the active vibration control of a functionally graded beam equipped with layers of piezoelectric sensors and actuators, in a thermal environment, is studied. The study based on Euler-Bernoulli theory and finite element method, applied to a flexible beam divided into a finite number of elements. The equations of motion are obtained by applying the principle of Hamilton. The structure is modeled analytically then numerically and the results of the simulations are presented to visualize the states of their dynamics.

Actuators ◽  
2019 ◽  
Vol 8 (1) ◽  
pp. 19 ◽  
Author(s):  
Khalid El Harti ◽  
Mohammed Rahmoune ◽  
Mustapha Sanbi ◽  
Rachid Saadani ◽  
Mouhcine Bentaleb ◽  
...  

This paper presents a dynamic study of sandwich functionally graded beam with piezoelectric layers that are used as sensors and actuators. This study is exploited later in the formulation of the active control laws, while using the optimal control Linear Quadratic Gaussian (LQG), accompanied by the Kalman filter. The mathematical formulation is based on Timoshenko’s assumptions and the finite element method, which is applied to a flexible beam divided into a finite number of elements. By applying the Hamilton principle, the equations of motion are obtained. The vibration frequencies are found by solving the eigenvalue problem. The structure is analytically then numerically modeled and the results of the simulations are presented in order to visualize the states of their dynamics without and with active control.


2005 ◽  
Vol 128 (2) ◽  
pp. 256-260 ◽  
Author(s):  
Xianmin Zhang ◽  
Arthur G. Erdman

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.


2012 ◽  
Vol 476-478 ◽  
pp. 1015-1019 ◽  
Author(s):  
M. Kolbadi Nejad ◽  
A. Selk Ghafari ◽  
A. Zabihollah

The main scope of this article is to simulate a cracked pipeline embedded with piezoelectric sensors and actuators utilizing bond graph approach. Piezoelectric sensors/actuators are becoming very popular in various applications such as health monitoring, active vibration control or noise reduction, and as a part of the systems called smart structures. The proposed bond graph structure in this study, graphically illustrates the power flow between the electrical and mechanical frameworks included in the system. In addition, the proposed framework makes it possible to utilize a modular structure for separately representing the electrical polarization of the material and its macroscopic electrical and mechanical effects. Simulation results illustrate that at the location of the crack the equivalent impedance is increased and the capacitance is decreased in comparison with the intact region.


Author(s):  
Xianmin Zhang ◽  
Arthur G. Erdman

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.


Author(s):  
Moon K. Kwak ◽  
Dong-Ho Yang

This paper is concerned with the active vibration control of a hanged rectangular plate partially submerged into a fluid by using piezoelectric sensors and actuators bonded to the plate. A dynamic model for the plate is derived by using the Rayleigh-Ritz method and the fluid effect is modeled by the virtual mass increase that is obtained by solving the Laplace equation. The natural vibration characteristics of the plate in air obtained theoretically are in good agreement with the experimental results. The changes in natural frequencies due to the presence of fluid were measured and compared to the theoretical predictions. Experimental results show that the theoretical predictions are in good agreement with the experimental results. The natural vibration characteristics of the plate both in air and in water are used for the active vibration control design. In this study, the multi-input and multi-output positive position feedback controller was designed based on the natural vibration characteristics and implemented by using a digital controller. Experimental results show that the vibration of the hanged rectangular plate both in air and partially submerged into a fluid can be successfully suppressed by using piezoelectric sensors and actuators.


Sign in / Sign up

Export Citation Format

Share Document