THICKNESS-SHEAR AND THICKNESS-TWIST VIBRATIONS OF CIRCULAR AT-CUT QUARTZ RESONATORS

被引：30

作者：

He, Huijing ^{[1
]}

Yang, Jiashi ^{[1
]}

Jiang, Qing ^{[2
,3
]}

机构：

[1] Univ Nebraska, Dept Mech & Mat Engn, Lincoln, NE 68588 USA

[2] Sun Yat Sen Univ, Sch Engn, Guangzhou 510275, Guangdong, Peoples R China

[3] Guangzhou Ande Biotechnol Co Ltd, Guangzhou 510663, Guangdong, Peoples R China

来源：

ACTA MECHANICA SOLIDA SINICA | 2013年 / 26卷 / 03期

关键词：

plate; linear vibration; resonance; INPLANE ACCELERATION SENSITIVITY; BEVELED CYLINDRICAL EDGES; CRYSTAL RESONATORS; RECTANGULAR EDGES; FREQUENCY-SPECTRA; PLATES; MODES; CLIPS;

D O I：

10.1016/S0894-9166(13)60023-3

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Exact solutions for free vibration frequencies and modes are obtained for thickness-shear and thickness-twist vibrations of unelectroded circular AT-cut quartz plates governed by the two-dimensional scalar differential equation derived by Tiersten and Smythe. Comparisons are made with experimental results and the widely-used perturbation solution by Tiersten and Smythe under the assumption of weak in-plane anisotropy. Our solution is found to be much closer to the experimental results than the perturbation solution. For the frequency of the fundamental thickness-shear mode, the error of the perturbation method is 0.4549%, significant in resonator applications.

引用

页码：245 / 254

页数：10

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