Lattice Theories and Continuum Mechanics

Three dimensional analysis of the vibration characteristics of piezoelectric discs

“…The vibration characteristics of piezoelectric discs have been analysed by three dimensional analytical theory [5], and two dimensional plate theory [6,7]. Although there is generally good agreement between the predictions by the plate theory and the measurements [3,6], some modes are not predicted accurately and the strength of excitation of the different modes has not been predicted. Finite element analysis, which was first developed for piezoelectric materials by Allik [8], has also been applied to piezoelectric discs [9,10].…”

“…It has been found that there are five types of mode in the frequency range of interest; these are radial (R), edge (E), thickness shear (TS), thickness extensional (TE) and high frequency radial (A) modes. The vibration characteristics of piezoelectric discs have been analysed by three dimensional analytical theory [5], and two dimensional plate theory [6,7]. Although there is generally good agreement between the predictions by the plate theory and the measurements [3,6], some modes are not predicted accurately and the strength of excitation of the different modes has not been predicted.…”