The Impact of Finite Element Analysis on the Design of Quartz Resonators

Abstract

A review of the finite element method for the analysis and design of quartz resonators is presented. Finite element analysis of the factors which impact on the performance of high quality quartz resonators are discussed. Novel techniques for the visualization of frequency spectra, calculation of resonator Q, and modeling of the effects of thermal stresses on the f-T behavior are presented. Good comparisons of simulated finite element results with their respective experimental results were found