Thickness-shear and thickness-twist vibrations of rectangular quartz crystal plates with nonuniform thickness

Yuan Lili; Wu Rongxing; Du Jianke; Wang Ji; Yang Jiashi

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Thickness-shear and thickness-twist vibrations of rectangular quartz crystal plates with nonuniform thickness

机译：具有非均匀厚度的矩形石英晶板的厚度剪切和厚度扭转振动

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An analysis was performed on the vibration of a rectangular contoured quartz plate resonator. The surface of the resonator has different curvatures in the two in-plane directions. The analysis was based on the equation by Tiersten and Smythe, which has variable coefficients. The power series method was used. Thickness-shear and thickness-twist vibration frequencies and modes were obtained. The effects of the curvatures of the resonator surface were examined. Two types of boundary conditions were considered from which the proper size of the resonator was determined. The results are useful in the understanding of these resonators and their design.

机译：对矩形轮齿板谐振器的振动进行了分析。谐振器的表面在两个面内方向上具有不同的曲率。该分析基于Tiersten和Smythe的等式，其具有可变系数。使用功率序列方法。获得厚度剪切和厚度扭转振动频率和模式。检查了谐振器表面曲率的影响。考虑了两种类型的边界条件，确定了谐振器的适当尺寸。结果对于对这些谐振器及其设计的理解有用。

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来源
《Mechanics of Advanced Materials and Structures》 |2017年第16期|共6页
作者
Yuan Lili; Wu Rongxing; Du Jianke; Wang Ji; Yang Jiashi;
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作者单位

Ningbo Univ Sch Mech Engn &

Mech Piezoelect Device Lab Ningbo 315211 Zhejiang Peoples R China;

Ningbo Univ Sch Mech Engn &

Mech Piezoelect Device Lab Ningbo 315211 Zhejiang Peoples R China;

Ningbo Univ Sch Mech Engn &

Mech Piezoelect Device Lab Ningbo 315211 Zhejiang Peoples R China;

Ningbo Univ Sch Mech Engn &

Mech Piezoelect Device Lab Ningbo 315211 Zhejiang Peoples R China;

Ningbo Univ Sch Mech Engn &

Mech Piezoelect Device Lab Ningbo 315211 Zhejiang Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类复合材料;
关键词
Crystal; nonuniform; piezoelectric; plate; vibration;

机译：水晶;非均匀;压电;板;振动;

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专利

1. Thickness-shear and thickness-twist vibrations of rectangular quartz crystal plates with nonuniform thickness [J] . Yuan Lili, Wu Rongxing, Du Jianke, Mechanics of Advanced Materials and Structures . 2017,第9a16期

机译：具有非均匀厚度的矩形石英晶板的厚度剪切和厚度扭转振动
2. Thickness-Shear and Thickness-Twist Vibrations of an AT-Cut Quartz Mesa Resonator [J] . He H., Liu J., Yang J. Ultrasonics, Ferroelectrics and Frequency Control, IEEE Transactions on . 2011,第10期

机译：AT切割石英台面谐振器的厚度剪切和厚度扭曲振动
3. Effects of a liquid layer on thickness-shear vibrations of rectangular AT-cut quartz plates [J] . Lee P.C.Y., Huang R. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control . 2002,第5期

机译：液层对矩形AT切割石英板厚度剪切振动的影响
4. Thickness-Shear, Thickness-Twist, and Flexural Vibrations of Rectangular AT-Cut Quartz Plates with Patch Electrodes [C] . Lee P.C.Y., Zee C., Brebbia C.A. 32nd Annual Symposium on Frequency Control. 1978 . -1

机译：带有贴片电极的矩形AT切割石英板的厚度剪切，厚度扭曲和弯曲振动
5. Vibrations of piezoelectric crystal plates with thickness-graded material properties. [D] . Huang, Rui. 2001

机译：具有厚度渐变材料特性的压电晶体板的振动。
6. Real-Time Monitoring of Platelet Activation Using Quartz Thickness-Shear Mode Resonator Sensors [O] . Huiyan Wu, Guangyi Zhao, Hongfei Zu, 2016

机译：使用石英厚度-剪切模式谐振器传感器实时监测血小板活化
7. Thickness-shear and thickness-twist vibrations of circular AT-cut quartz resonators [O] . He, Huijing, Yang, Jiashi, Jiang, Qing 2013

机译：圆形aT切石英谐振器的厚度剪切和厚度扭曲振动
8. Anharmonic, Thickness-Twist Overtones of Thickness-Shear and Flexural Vibrations of Rectangular, at -Cut, Quartz Plates [R] . Mindlin, R. D., Spencer, W. J. 1967

机译：非谐，厚度 - 扭曲的厚度 - 矩形，在切割，石英板上的剪切和弯曲振动

Thickness-shear and thickness-twist vibrations of rectangular quartz crystal plates with nonuniform thickness

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