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压电实验室发表SC切型石英晶体谐振器温频特性分析的最新研究成果
2021-04-02  

    压电实验室发表SC切型石英晶体谐振器温频特性分析的最新研究成果

2021331日】近日,压电实验室团队在Acta Mechanica Solida Sinica发表了题为《Frequency-temperature analysis of thickness-shear vibrations of SC-cut quartz crystal plates with the first-order Mindlin plate equations》的论文。该工作通过建立Mindlin一阶板方程和增量热场理论耦合方法,分析了不同温度场下SC切型石英晶体谐振器厚度高频剪切振动的色散关系,频谱,振型和温频特性。发现相比AT切型石英晶体,基于SC切型的石英晶体谐振器振动频率温度稳定性明显更优,相关结果和分析方法可为石英晶体谐振器的工程应用和设计提供理论参考。


1 SC切型和AT切型石英晶体高频振动的温频特性曲线


温度的变化将引起石英晶体谐振器的频率发生漂移,获得良好的温频特性是石英晶体谐振器设计和研制首先要解决的问题。我们从增量热场的Mindlin一阶板运动方程和本构方程入手,将本构方程代入到运动方程中,得到了位移形式的运动方程组。基于直峰波假设,将位移解的表达式代入到运动方程中,并对频率、波数和热弹性常数作归一化处理,得到了SC切型石英晶体板谐振器的色散方程。再将线性叠加之后的位移解表达式代入到边界条件中,得到了频率与温度之间的关系式,即温频方程。应用到具体工程设计分析时,只需将相关参数值代入,即可计算和绘制出实际工况下石英晶体板谐振器的温频特性曲线,从而确定频率对温度最为稳定的零温度系数点。图1给出了具体算例石英晶体谐振器的温频曲线,可以看到SC切型和AT切型石英晶体谐振器的拐点温度值分别为95 C°和25 C°。还需提到的是,我们基于Mindlin一阶板方程和增量热场理论耦合方法,对石英晶体板谐振器温频关系分析的理论完善清晰,过程较为简单,非常便于工程技术人员掌握和使用。

 

论文链接https://doi.org/10.1007/s10338-021-00224-0

论文下载地址http://piezo.nbu.edu.cn/info/1041/2119.htm


2 文章摘要 Paper abstract



PDL team published a paper about the vibration frequency-temperature behavior of SC-cut quartz crystal plates


Recently, Piezoelectric Device Laboratory (PDL) published a paper on the analysis of frequency-temperature relations of thickness-shear vibrations of SC-cut quartz crystal resonators with Mindlin plate theory. The PDL has been working on the broad subjects concerning the analysis of piezoelectric acoustic wave device to support the design of novel products. The continuous work on quartz crystal resonators is now offering practical, accurate, and simple method and procedure to support product development. This research has been demonstrating the combination of the thermal field and mechanical vibrations for the optimal choice of resonator configurations.

In this paper, the SC-cut quartz crystal plate is analyzed with Mindlin plate equations. The frequency-temperature properties of both AT-cut and SC-cut quartz crystal plates are shown to demonstrate the effectiveness and accuracy of analysis. The superior frequency-temperature feature of SC-cut quartz crystal resonator is shown from the analysis, and it is a procedure readily available to design for the engineers.

 

Paper website: https://doi.org/10.1007/s10338-021-00224-0

Paper download address:http://piezo.nbu.edu.cn/info/1041/2119.htm


 

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