A Simple Acoustic Method for Modal Parameter Measurement of the Resonator for Vibratory Shell Gyroscope

A Simple Acoustic Method for Modal Parameter Measurement of the Resonator for Vibratory Shell Gyroscope
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振动壳陀螺谐振器模态参数测量的简单声学方法

DOI:
10.1109/jsen.2014.2332879
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发表时间:
2014-11-01
影响因子:
4.3
通讯作者:
Wu, Xuezhong
Wu, Xuezhong
中科院分区:
综合性期刊2区
文献类型:
--
作者:
Xi, Xiang;Wu, Yulie;Wu, Xuezhong

文献摘要

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本文提出了一种测量振动壳陀螺仪(VSG)谐振器的频率分裂、品质因数和模态偏转的声学方法。该方法基于谐振器驻波本征模产生的声波的叠加和分解。来自不完美谐振器的声信号包括两个不同频率和方向的驻波。理论研究表明,复合声波的振荡周期和谷峰比与谐振器的模态参数密切相关。因此,可以通过声信号的参数拟合获得谐振器的模态参数。理论研究还分析了振动漂移引起的测量误差。所提出的方法可以是一种简单快速的方法来测量 VSG 谐振器的主要模态参数,而无需使用复杂或昂贵的设备。进行实验以使用声学方法识别典型圆柱形谐振器的模态参数。为了进行比较,还采用传统的电学和光学方法来测量模态参数。实验结果表明,声学方法测得的模态参数与传统方法测得的模态参数接近。
In this paper, an acoustic method measuring the frequency split, quality factor and modal deflection of the resonator for vibratory shell gyroscope (VSG) is presented. This method is based on the superposition and decomposition of acoustic waves generated by standing wave eigenmodes of the resonator. The acoustic signals from an imperfect resonator comprise two standing waves of different frequencies and orientations. Theoretical study shows that the oscillating period and trough-peak ratio of the composite acoustic wave are strongly related to the modal parameters of the resonator. Therefore, the modal parameters of the resonator can be obtained via parameter fitting of the acoustic signal. The measurement error due to vibration drift is also analyzed in the theoretical study. The proposed method could be a simple and fast way to measure the main modal parameters of the VSG resonators without using sophisticated or costly equipments. Experiments were implemented to identify the modal parameters of a typical cylindrical resonator using the acoustic method. For the sake of comparison, traditional electrical and optical methods were also employed to measure the modal parameters. The experimental results show that the modal parameters measured by the acoustic method are close to those obtained from the traditional methods.