The Vibration Analysis of a Simply Supported Plate Excited by Piezoelectric Actuators

Piezoelectric materials have the advantage of being lightweight, temperature insensitivity low-cost, easy of implementation that can be utilized for passive and active control of structural vibration. They can be surface bonded or embedded in the structures with slight modifications and without significantly changing the structural stiffness of the system. In this investigation, two piezoelectric actuators are symmetrically embedded in a simply supported plate. Electric voltages with the same amplitude and opposite sign are applied to the two symmetric piezoelectric actuators, resulting in the bending effect on the plate. The bending moment is derived and applied to the simply supported plate. The harmonic response of the simply supported plate excited by the piezoelectric actuators is derived and compared with the finite element solution to show the validation of present approach. The effects of the location and exciting frequency of the piezoelectric actuators on the response of the plate are presented through a numerical study.