Exact resonant frequencies for the thickness-twist trapped energy mode in a piezoceramic plate

Abstract

Thickness-twist modes with energy trapping in a piezoceramic plate covered by infinite strip electrodes of infinitesimal thickness are analysed. By using Fourier transforms, the linear, three-dimensional equations for a piezoceramic plate are reduced to an integral equation for the charge distribution on the electrodes. Expanding the charge density in a finite series, the lowest resonant frequency as a function of the ratio with electrodes over thickness plate is computed. The computed values are compared with the results of an approximate approach given by Holland and Eer Nisse. For small values of the mentioned ratio, considerable deviations occur.