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首页> 外文期刊>IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control >Frequency-temperature behavior of flexural quartz resonators by means of Timoshenko's model
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Frequency-temperature behavior of flexural quartz resonators by means of Timoshenko's model

机译：基于Timoshenko模型的挠曲石英谐振器的频率-温度特性

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摘要

The frequency of a flexural resonator and its frequency-temperature behavior usually are computed by Bernoulli's classical approximation. This approach is valid for beams with a large length-over-thickness-ratio. For shorter beams, the effects of shear stress and rotary inertia may play a significant role for temperature-compensated resonators. These effects have been taken into account for isotropic beams. The aim of this paper is to discuss the extension of the shear coefficient in the case of an anisotropic material and to compute the frequency-temperature characteristic of an (XYt)thetas cut resonator when the shear stress and the rotary inertia have been taken into account. Comparisons between the classical approximation arid this treatment are given for quartz. Furthermore, the numerical predictions obtained by means of different sets of data available for thermal sensitivities of elastic coefficients are compared
机译：弯曲谐振器的频率及其频率-温度行为通常通过伯努利的经典近似来计算。此方法对于具有较大的长度厚度比的梁有效。对于较短的梁，剪切应力和旋转惯性的影响可能对温度补偿谐振器起重要作用。各向同性光束已考虑了这些影响。本文的目的是讨论在各向异性材料的情况下剪切系数的扩展，并在考虑了剪切应力和旋转惯性的情况下计算（XYt）θ切角谐振器的频率温度特性。 。对于石英，经典近似值与该处理之间进行了比较。此外，比较了通过可用于弹性系数热敏性的不同数据集获得的数值预测。

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