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首页> 外文期刊>IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control >Isochronism defect for various doubly rotated cut quartz resonators
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Isochronism defect for various doubly rotated cut quartz resonators

机译：各种双旋转切割石英谐振器的等时性缺陷

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It has been shown in earlier works that the amplitude-frequency effect [also called isochronism defect (ID) or anisochronism] could be a limitation factor on ultrastable oscillators. Theoretical studies based on the nonlinear theory of piezoelectricity have already been developed to explain the amplitude-frequency effect. So, it is possible to estimate the dependence of the ID versus various parameters of the resonator design (overtone rank, radius of curvature, electrodes diameter, etc.). However, because of the lack of available fourth-order elastic coefficients, it is not possible to predict the ID of any resonant frequency of a given trapped energy resonator. To tentatively find orientations of plates exhibiting a quasi- ID, we have realized electroded resonators with different orientations and curvatures. We present results that verify, particularly, the R-12/ dependence of the amplitude-frequency effect versus radius of curvature. Moreover, we show that the ID can be positive or negative, that it can vary from one orientation to other one of about one order of magnitude, and that there exists a thermal compensated mode for which the amplitude-frequency effect is .
机译：在较早的工作中已经表明，幅频效应[也称为等时性缺陷（ID）或等时性]可能是超稳定振荡器的限制因素。已经建立了基于非线性压电理论的理论研究来解释振幅-频率效应。因此，可以估计ID对谐振器设计的各种参数（泛音等级，曲率半径，电极直径等）的依赖性。但是，由于缺乏可用的四阶弹性系数，因此无法预测给定陷获能量谐振器的任何谐振频率的ID。为了临时找到表现出准ID的板的方向，我们实现了具有不同方向和曲率的电极谐振器。我们提出的结果证实了，尤其是振幅频率效应对曲率半径的R-12 /依赖性。而且，我们表明ID可以为正或负，它可以从一个方向变化到另一个方向，大约一个数量级，并且存在一种热补偿模式，其振幅频率效应为。

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