Vibration Control of FGM Plate With Piezoelectric Sensors and Actuators Using Higher Order Shear Deformation Theory

In this paper, finite element formulation for the active control of functionally graded material (FGM) plates containing piezoelectric sensor/actuator patches by using higher order shear deformation theory is carried out. The major difference to previous studies is the new feedback control algorithm for active control of FGM plate which is presented in this paper. The effects of the configuration of the S/A pairs and the velocity and displacement feedback control gains on the static and dynamic response of the structure are studied. Numerical results are presented for the static deflection, natural frequency and dynamic control of FGM plate in both tabular and graphical forms. The result obtained by using new feedback control algorithm show that peak responses can be controlled by the displacement control gain and active damping can be provided by adjusting the velocity control gain. The model without feedback control is validated by comparing with existing results in the literature.