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首页> 外文期刊>IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control >Doubly rotated contoured quartz resonators
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Doubly rotated contoured quartz resonators

机译：双旋转轮廓石英谐振器

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Doubly rotated contoured quartz resonators are used in the designnof temperature-compensated stable clocks and dual-mode sensors fornsimultaneous measurements of pressure and temperature. The design ofnthese devices is facilitated by models that can predict frequencynspectra associated with the three thickness modes and temperature andnstress-induced frequency changes as a function of crystallinenorientation. The Stevens-Tiersten technique for the analysis of thenC-mode of a doubly rotated contoured quartz resonator is extended toninclude the other two thickness modes. Computational results fornharmonic and anharmonic overtones of all three thickness modes of suchnresonators help in optimizing the radius of curvature of the contour andnelectrode shape for suppression of unwanted modes and prevention ofnactivity dips. The temperature and stress-induced changes innthickness-mode resonator frequencies are calculated from a perturbationntechnique for small dynamic fields superposed on a static bias. Thenstatic bias refers to either a temperature or stress-induced staticndeformation of the resonator plate. Phenomenological models are alsonused for calculating the temperature and stress-induced changes innresonant frequencies as a function of crystalline orientation. Resultsnfor the SBTC-cut quartz plate with a spherical convex contour of 260 mmnindicate that normal trapping occurs for the third (n=3) and fifth (n=5)nharmonic of the A-mode, the fundamental (n=1) and third (n=3) harmonicnof the B-mode, and the fundamental (n=1) and fifth (n=5) harmonic of thenC-mode
机译：双旋转轮廓石英谐振器用于温度补偿的稳定时钟和双模传感器，用于同时测量压力和温度。可以预测与这三种厚度模式相关的频率频谱以及温度和应力引起的频率变化作为晶体取向函数的模型，可以促进这些设备的设计。扩展了用于分析双旋转轮廓石英谐振器的C模式的Stevens-Tiersten技术，扩展了其它厚度模式。此类谐振器的所有三种厚度模式的谐波和非谐波泛音的计算结果有助于优化轮廓线的曲率半径和电极形状，从而抑制不想要的模式并防止无源下降。温度和应力引起的厚度模式谐振器频率变化是通过对叠加在静态偏置上的小动态场的摄动技术计算出来的。静态偏置是指温度或应力引起的谐振器板的静态变形。还建立了现象学模型，用于计算温度和应力引起的非谐振频率随晶向变化的变化。球形凸轮廓为260 mm的SBTC切割石英板的结果n表明在A模式的第三（n = 3）和第五（n = 5）谐波，基波（n = 1）和第三谐波中发生了正常陷波B模式的（n = 3）谐波，然后C模式的基波（n = 1）和五次（n = 5）谐波

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