Active vibration control of functionally graded plates under random excitation

Abstract

In this study, the active control of the nonlinear vibration of the functionally graded material plate under random excitation is presented. The functionally graded material plates considered are mixture of two materials such as metal and ceramic. The mechanical properties of the functionally graded material plate are graded in the thickness direction only according to a simple power-law distribution in terms of volume fraction of constituents. The temperature dependencies of the constituents of the functionally graded material plates are also considered. The plate governing equations are due to the classical plate theory with von Karman–type geometric nonlinearities. Discrete piezoelectric materials are symmetrically bonded to top and bottom surfaces of the functionally graded material plate as sensors and actuators. A velocity feedback control technique is employed. The external pressure is considered as stationary Gaussian random process and simulated by using Monte Carlo technique. Parametric studies are conducted to investigate the viability of the lead zirconate titanate sensors/actuators to control the nonlinear random vibrations of the functionally graded material plates.