A Semi-Analytical Solution for the Thickness-Vibration of Centrally Partially-Electroded Circular AT-Cut Quartz Resonators

Affiliation of Author(s):航空学院

Journal:SENSORS

Key Words:circular quartz plate thickness-vibration Mathieu function collocation method resonator

Abstract:Vibration frequencies and modes for the thickness-shear vibrations of infinite partially-electroded circular AT-cut quartz plates are obtained by solving the two-dimensional (2D) scalar differential equation derived by Tiersten and Smythe. The Mathieu and modified Mathieu equations are derived from the governing equation using the coordinate transform and the collocation method is used to deal with the boundary conditions. Solutions of the resonant frequencies and trapped modes are validated by those results obtained from COMSOL software. The current study provides a theoretical way for figuring out the vibration analysis of circular quartz resonators.

ISSN No.:1424-8220

Translation or Not:no

Date of Publication:2017-08-01

Co-author:戴晓昀,赵梓楠,Qian Zhenghua

Correspondence Author:Wang Bin,Qian Zhenghua

Date of Publication:2017-08-01