The measurement of resonator’s frequency splitting is a critical issue in vibratory gyroscopes, which would be elaborately treated in practical applications. The high-precision measurement of frequency splitting plays a significant role in frequency tuning control. A novel time-domain method of frequency splitting measurement for hemispherical resonator based on the standing wave swing effect was proposed. The frequency splitting value of the resonator can be directly obtained by taking the reciprocal of the one cycle time of standing wave swings, rather than through the frequency difference between two resonant modes. To begin with, the method was analyzed theoretically, and the measurement resolution and accuracy of the method were researched in detail. Simulation and experimental results showed that the frequency splitting value can be effectively obtained by measuring the period of the standing wave swings, improving the fine measurement resolution and high accuracy. The frequency splitting of lower than 0.007 Hz has to be effectively obtained in the experiment. It is found that the measurement error is a small proportional part of frequency splitting value, so the measurement accuracy is very high when the frequency splitting is very low. Therefore, this time-domain method would contribute to the measurement of ultralow-frequency splitting for high-Q resonators.

中文翻译：

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半球形谐振器低频分裂的时域测量方法研究

在振动陀螺仪中，谐振器频率分割的测量是一个关键问题，在实际应用中将对其进行精心处理。高精度的分频测量在频率调谐控制中起着重要作用。提出了一种基于驻波摆动效应的半球谐振器分频测量的时域新方法。谐振器的分频值可以直接通过获取驻波摆动的一个周期时间的倒数来获得，而不是通过两个谐振模式之间的频率差来获得。首先，从理论上分析了该方法，并详细研究了该方法的测量分辨率和准确性。仿真和实验结果表明，通过测量驻波摆动的周期可以有效地获得分频值，提高了精细的测量分辨率和高精度。在实验中必须有效地获得低于0.007 Hz的分频。可以发现，由于测量误差是分频值的很小比例部分，所以当分频非常低时，测量精度非常高。因此，这种时域方法将有助于测量高Q谐振器的超低频分裂。可以发现，由于测量误差是分频值的很小比例部分，所以当分频非常低时，测量精度非常高。因此，这种时域方法将有助于测量高Q谐振器的超低频分裂。可以发现，由于测量误差是分频值的很小比例部分，所以当分频非常低时，测量精度非常高。因此，这种时域方法将有助于测量高Q谐振器的超低频分裂。