Influence of bonding layer on piezoelectric actuators of an axisymmetrical annular plate

The purpose of this theoretical work is to present a general model of the response of an annular plate to the excitation by an annular actuator made of piezoelectric elements. The plate is clamped at the inner edge and free at the outer edge. Dynamic equations, joint conditions between sections with and without active layers as well as the boundary conditions at the two edges of the plate form a boundary value problem. The dynamic displacement response to the excitation by the applied harmonic voltage term are determined from the solution to this boundary value problem. The dynamic extensional strain on the plate surface is calculated by including the free stress conditions at the piezoelectric actuator boundaries, by considering the dynamic coupling between the actuator and the plate, and by taking into account a finite bonding layer with finite stiffness. Results from numerical simulation show influence of the bonding layer stiffness on the frequency- and space-dependent plate response.