Finite element analysis of circular quartz resonators using scalar differential equation and COMSOL

Proceedings of the 2014 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications Pub Date : 2014-12-29 DOI:10.1109/SPAWDA.2014.6998519

Jun Shi, C. Fan, M. Zhao, Jia-shi Yang

引用次数: 0

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.

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利用标量微分方程和COMSOL对圆形石英谐振器进行有限元分析

利用Tiersten和Smythe结合COMSOL提出的二维标量微分方程研究了at切割石英谐振器的自由振动。得到了谐振频率和模态振型，并与已有的实验结果以及标量方程的解析解进行了比较。检验了各种解析解的准确性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Proceedings of the 2014 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications

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