A Novel Method for Estimating and Balancing the Second Harmonic Error of Cylindrical Fused Silica Resonators

Tao, Yunfeng; Pan, Yao; Liu, Jianping; Jia, Yufei; Yang, Kun; Luo, Hui

doi:10.3390/mi12040380

Cited by 6 publications

(2 citation statements)

References 33 publications

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“…Based on our previous finite element simulation model [32], the influences of the first three harmonic errors on the Q factor of the cylindrical resonator are simulated, and the results are depicted in figure 7. The degree of imperfection ∆ρ is ρ i /ρ, where ρ i is the ith harmonic error of the imperfect density.…”

Section: Resultsmentioning

confidence: 99%

Fused silica cylindrical shell resonators with 25 million Q factors

Zeng¹,

Pan²,

Luo³

et al. 2021

J. Phys. D: Appl. Phys.

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The Q factors of fused silica cylindrical shell resonators reaching 25 million is reported. The finite element method is employed to analyze the anchor loss and chemical etching is used to reduce the surface loss of cylindrical resonators. Two resonators with the same processing parameters are etched for 13 rounds with each round set as 5 min. After each round of chemical etching, the surface roughness, Q factors and resonant frequencies of the two resonators are measured. The Q factors of the two cylindrical resonators have both exceeded 25 million, reaching the level of that of fused silica hemispherical resonators. Results also indicate that the Q factors of fused silica cylindrical resonators are not related with their surface roughness. This study shows the potential of the cylindrical resonator gyroscope to achieve the same degree of precision as the hemispherical resonator gyroscope, which has presented outstanding performances.

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Section: Resultsmentioning

confidence: 99%

Fused silica cylindrical shell resonators with 25 million Q factors

Zeng¹,

Pan²,

Luo³

et al. 2021

J. Phys. D: Appl. Phys.

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“…The arbitrary motion of the resonator can be regarded as a superposition of the two principal oscillations [ 1 , 2 , 3 ]. Stiffness asymmetry can be effectively diminished through both mechanical correction and electrostatic correction [ 18 , 19 , 20 , 21 , 22 ]. To perform either mechanical or electrostatic correction accurately and effectively, it is critical to locate the exact stiffness axes orientations of the resonator.…”

Section: Introductionmentioning

confidence: 99%

A High-Precision Method of Stiffness Axes Identification for Axisymmetric Resonator Gyroscopes

et al. 2022

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Axisymmetric resonators are key elements of Coriolis vibratory gyroscopes (CVGs). The performance of a CVG is closely related to the stiffness and damping symmetry of its resonator. The stiffness symmetry of a resonator can be effectively improved by electrostatic tuning or mechanical trimming, both of which need an accurate knowledge of the azimuth angles of the two stiffness axes of the resonator. Considering that the motion of a non-ideal axisymmetric resonator can be decomposed as two principal oscillations with two different natural frequencies along two orthogonal stiffness axes, this paper introduces a novel high-precision method of stiffness axes identification. The method is based on measurements of the phase difference between the signals detected at two orthogonal sensing electrodes when an axisymmetric resonator is released from all the control forces of the force-to-rebalance mode and from different initial pattern angles. Except for simplicity, our method works with the eight-electrodes configuration, in no need of additional electrodes or detectors. Furthermore, the method is insensitive to the variation of natural frequencies and operates properly in the cases of either large or small frequency splits. The introduced method is tested on a resonator gyroscope, and two stiffness axes azimuth angles are obtained with a resolution better than 0.1°. A comparison of the experimental results and theoretical model simulations confirmed the validity of our method.

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