An analysis of z-strip AT-cut quartz thickness-shear resonators

Zinan Zhao, Z. Qian, Bin Wang, Jia-shi Yang
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Abstract

This paper mainly analyzes the fundamental and third order thickness shear modes of z-strip quartz resonator with the scalar equations derived by Tiersten and Smythe. Effects of the mass ratio and the length of the electrode on the operation modes and resonant frequencies are also studied. Exact modes can be obtained and the results show that the operation modes without nodal lines on the electroded area are suitable for resonator application. With the mass ration increasing the vibration frequency decreases. These results are important in the understanding and design of quartz resonators.
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z带at切割石英厚度剪切谐振器的分析
本文主要用Tiersten和Smythe导出的标量方程分析了z带状石英谐振器的基阶和三阶厚度剪切模态。研究了质量比和电极长度对工作模式和谐振频率的影响。结果表明,在电极区域无节点线的工作模式适合于谐振器的应用。随着质量比的增大,振动频率减小。这些结果对理解和设计石英谐振器具有重要意义。
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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