Effects of Normal-Distributed Measurement Error on Frequency Tuning for a Cylindrical Vibratory Gyroscopes

Cylindrical vibratory gyroscope is a kind of mode-matched gyros, and the frequency split would affect its sensitivity significantly. Frequency tuning is a major method to decrease the split. In the process of frequency tuning, the natural frequency should be measured firstly, and the measurement err...

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Main Authors: Youwang Hu, Kai Zeng, Hongmin Zhong, Yongping Zhou, Xiaoyan Sun, Ji'an Duan
Format: Article
Language:English
Published: IEEE 2020-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9097884/
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spelling doaj-bcc564ee022548bfa4ab913e28f259932021-03-30T02:15:10ZengIEEEIEEE Access2169-35362020-01-018971529716310.1109/ACCESS.2020.29962539097884Effects of Normal-Distributed Measurement Error on Frequency Tuning for a Cylindrical Vibratory GyroscopesYouwang Hu0https://orcid.org/0000-0002-9506-8205Kai Zeng1https://orcid.org/0000-0003-1944-7921Hongmin Zhong2https://orcid.org/0000-0001-6635-2111Yongping Zhou3https://orcid.org/0000-0002-2395-2595Xiaoyan Sun4https://orcid.org/0000-0003-3367-2332Ji'an Duan5https://orcid.org/0000-0001-5104-3148State Key Laboratory of High Performance and Complex Manufacturing, Central South University, Changsha, ChinaState Key Laboratory of High Performance and Complex Manufacturing, Central South University, Changsha, ChinaState Key Laboratory of High Performance and Complex Manufacturing, Central South University, Changsha, ChinaState Key Laboratory of High Performance and Complex Manufacturing, Central South University, Changsha, ChinaState Key Laboratory of High Performance and Complex Manufacturing, Central South University, Changsha, ChinaState Key Laboratory of High Performance and Complex Manufacturing, Central South University, Changsha, ChinaCylindrical vibratory gyroscope is a kind of mode-matched gyros, and the frequency split would affect its sensitivity significantly. Frequency tuning is a major method to decrease the split. In the process of frequency tuning, the natural frequency should be measured firstly, and the measurement error is one of the decisive factor of tuning accuracy. Due to the measurement error of frequency is Normal Distribution, its effects on frequency tuning are studied by theoretical and simulation analysis from the statistical aspect. Firstly, the influence of frequency splitting on gyro sensitivity is studied, which shows the importance of reducing frequency splitting. Then the effect of different measuring accuracy on the measured value is analyzed. Thirdly, the tuning error that caused by the measurement error is researched in the process of trimming, and the tuning error is derived by theoretical analysis. Simulation and experiment results under different measurement error exemplify the value of tuning error. Finally, the optimal measurement accuracy that ensures achieving tuning accuracy is discussed.https://ieeexplore.ieee.org/document/9097884/Cylindrical vibratory gyroscopefrequency tuningmeasurement errorsnormal distribution
collection DOAJ
language English
format Article
sources DOAJ
author Youwang Hu
Kai Zeng
Hongmin Zhong
Yongping Zhou
Xiaoyan Sun
Ji'an Duan
spellingShingle Youwang Hu
Kai Zeng
Hongmin Zhong
Yongping Zhou
Xiaoyan Sun
Ji'an Duan
Effects of Normal-Distributed Measurement Error on Frequency Tuning for a Cylindrical Vibratory Gyroscopes
IEEE Access
Cylindrical vibratory gyroscope
frequency tuning
measurement errors
normal distribution
author_facet Youwang Hu
Kai Zeng
Hongmin Zhong
Yongping Zhou
Xiaoyan Sun
Ji'an Duan
author_sort Youwang Hu
title Effects of Normal-Distributed Measurement Error on Frequency Tuning for a Cylindrical Vibratory Gyroscopes
title_short Effects of Normal-Distributed Measurement Error on Frequency Tuning for a Cylindrical Vibratory Gyroscopes
title_full Effects of Normal-Distributed Measurement Error on Frequency Tuning for a Cylindrical Vibratory Gyroscopes
title_fullStr Effects of Normal-Distributed Measurement Error on Frequency Tuning for a Cylindrical Vibratory Gyroscopes
title_full_unstemmed Effects of Normal-Distributed Measurement Error on Frequency Tuning for a Cylindrical Vibratory Gyroscopes
title_sort effects of normal-distributed measurement error on frequency tuning for a cylindrical vibratory gyroscopes
publisher IEEE
series IEEE Access
issn 2169-3536
publishDate 2020-01-01
description Cylindrical vibratory gyroscope is a kind of mode-matched gyros, and the frequency split would affect its sensitivity significantly. Frequency tuning is a major method to decrease the split. In the process of frequency tuning, the natural frequency should be measured firstly, and the measurement error is one of the decisive factor of tuning accuracy. Due to the measurement error of frequency is Normal Distribution, its effects on frequency tuning are studied by theoretical and simulation analysis from the statistical aspect. Firstly, the influence of frequency splitting on gyro sensitivity is studied, which shows the importance of reducing frequency splitting. Then the effect of different measuring accuracy on the measured value is analyzed. Thirdly, the tuning error that caused by the measurement error is researched in the process of trimming, and the tuning error is derived by theoretical analysis. Simulation and experiment results under different measurement error exemplify the value of tuning error. Finally, the optimal measurement accuracy that ensures achieving tuning accuracy is discussed.
topic Cylindrical vibratory gyroscope
frequency tuning
measurement errors
normal distribution
url https://ieeexplore.ieee.org/document/9097884/
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