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Frequency-temperature behavior of spurious vibrations of rectangular AT-cut quartz plates

机译:矩形AT切割石英平板的寄生振动的频率-温度特性

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摘要

We evaluate the frequency-temperature behavior of spurious modes in a rectangular AT-cut quartz plate resonator based on three-dimensional linear equations. The elastic constants and three geometrical dimensions of the resonator are defined in terms of cubic polynomials of a temperature change. Assuming that the resonator holds its rectangular plate shape irrespective of temperature, we can determine the relationship between frequency and the dimensions of the resonator for a given temperature using the previous technique. We compare the calculated results with our own experimental data, and show that agreement between the calculated and observed data is excellent.
机译:我们基于三维线性方程评估矩形AT切割石英板谐振器中的杂散模式的频率-温度行为。谐振器的弹性常数和三个几何尺寸是根据温度变化的三次多项式定义的。假设谐振器无论温度如何都保持其矩形板状,我们可以使用先前的技术确定给定温度下谐振器的频率与尺寸之间的关系。我们将计算结果与我们自己的实验数据进行了比较,表明计算数据与观察数据之间的一致性非常好。

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