Title :
Finite element analysis of circular quartz resonators using scalar differential equation and COMSOL
Author :
Jun-jie Shi ; Cui-ying Fan ; Ming-hao Zhao ; Jia-shi Yang
Author_Institution :
Sch. of Mech. & Eng. Sci., Zhengzhou Univ., Zhengzhou, China
fDate :
Oct. 30 2014-Nov. 2 2014
Abstract :
We study free vibrations of a circular AT-cut quartz resonator using the two-dimensional scalar differential equation by Tiersten and Smythe in conjunction with COMSOL. Resonant frequencies and mode shapes are obtained and compared with available experimental results as well as available analytical solutions of the scalar equation. The accuracy of various analytical solutions is examined.
Keywords :
crystal resonators; differential equations; finite element analysis; vibrations; COMSOL; analytical solutions; circular AT-cut quartz resonator; finite element analysis; free vibrations; resonant frequency; two-dimensional scalar differential equation; Educational institutions; Equations; Materials; Mathematical model; Piezoelectricity; Resonant frequency; Vibrations; COMSOL; Crystal resonators; Quartz plate; Thickness shear;
Conference_Titel :
Piezoelectricity, Acoustic Waves, and Device Applications (SPAWDA), 2014 Symposium on
Conference_Location :
Beijing
Print_ISBN :
978-1-4799-6424-6
DOI :
10.1109/SPAWDA.2014.6998519
