Precision balance method for cupped wave gyro based on cup-bottom trimming

Tao, Yi; Xi, Xiang; Xiao, Dingbang; Tan, Yong; Cui, Hongjuan; Wu, Xuezhong

doi:10.3901/cjme.2012.01.063

Cited by 32 publications

(15 citation statements)

References 2 publications

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“…The right circular flexure hinge is superior to other types of flexure hinges as it is more precise in keeping the positions of the rotation centres during the deformation procedure. 11,12 According to the assumptions mentioned above, it ignores the parasitism in the other degrees of freedom while only considering the rotational compliance u z =M z and the axial flexibility Dx=F x to characterise the flexure hinge. Figure 6 shows the geometric relation of the right circular flexible hinge.…”

Section: Right Circular Flexure Hingesmentioning

confidence: 99%

“…The static unbalance measurement method is superior to dynamic measurement methods as it is easy to operate and performs advanced specifications. Tao et al 12 proposed a static balance method for cupped wave gyros based on cup-bottom trimming. The Space Electronics company 13,14 proposed a static unbalance measurement method based on the centroid of gravity projection (CGP).…”

Section: Introductionmentioning

confidence: 99%

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Force transmission of flexure-based leverage mechanism for static unbalance measuring system under self-gravity effect

Wang

Liu

Guan

et al. 2017

Advances in Mechanical Engineering

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This article proposes a flexure-based leverage mechanism that improves the performance of the static unbalance measurement system in terms of sensitivity and precision. The primary function of the flexure-based leverage mechanism is to transform the objective unbalance force/moment from the double-frame platform to an electromagnetic force balance sensor. A model of the flexure-based leverage mechanism was established to investigate the displacement/force amplification based on the elastic model. The finite element method was used to verify the analytical solutions. Considering the gravity effects, the self-weight of the rigid bodies in this leverage mechanism has an effect on the reading in the sensors. However, the linearity characteristics are not sensitive to the self-weight of the proposed leverage mechanism and the stiffness of the flexure hinges. Virtual experiments conducted to verify the linearity and sensitivity of the system indicated that depending on the leverage function of the flexure-based leverage mechanism, the systematic sensitivity is less than 0.02 g/(g cm), the resolution is 0.0013 g cm, and the maximum linearity error is 2.7%.

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Section: Right Circular Flexure Hingesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Force transmission of flexure-based leverage mechanism for static unbalance measuring system under self-gravity effect

Wang

Liu

Guan

et al. 2017

Advances in Mechanical Engineering

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“…The hemispherical resonator of HRG was trimmed grooves on the top utilizing a laser, ion beam, electron beam or chemical etching for mass removals [7,8]. The metallic cylindrical resonator of CVG, VSG and other production was slotted on the open end using conventional mechanical processing method [9,10]. As for BVG, we have tried this approach from simulation to experiment and received some good results.…”

Section: Introductionmentioning

confidence: 99%

Analysis and compensation of mass imperfection effects on 3-D sensitive structure of bell-shaped vibratory gyro

2015

Sensors and Actuators A: Physical

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“…Wan et al [ 20 ] reported a highly symmetry polysilicon microscale HRG with spherical electrodes, and the frequency split of the resonator could be reduced from 10 Hz to 0.51 Hz by tuning the voltages of electrodes. Tao et al [ 21 ] established a dynamic model of a lumped mass of a cupped vibratory gyroscope using the discretization method, analyzed the effects of different position trimming of the imperfect resonator on the frequency split, and then developed a balance method based on cup-bottom trimming, giving the entire procedures for frequency trimming of the resonator; the finite element method simulation results indicated that the frequency split could be reduced to 10 −3 Hz. Abdelmoneum et al [ 22 ] demonstrated geometrically symmetrical laser targeting in maintaining high quality on the microscale, much higher than on the macroscale for different types of micromechanical resonators.…”

Section: Introductionmentioning

confidence: 99%

Standing Wave Binding of Hemispherical Resonator Containing First–Third Harmonics of Mass Imperfection under Linear Vibration Excitation

Huo

Ren

Wei

et al. 2020

Sensors

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Due to complicated processing technology, the mass distribution of a hemispherical resonator made of fused silica is not uniform, which can affect the azimuth of the standing wave of a resonator under the linear vibration excitation. Therefore, the analysis of standing wave evolution of a resonator with mass imperfection under linear vibration excitation is of significance for the improvement of the output accuracy of a gyroscope. In this paper, it is assumed that the resonator containing the first–third harmonics of mass imperfection is excited by horizontal and vertical linear vibration, respectively; then, the equations of motion of an imperfect resonator under the second-order vibration mode are established by the elastic thin shell theory and Lagrange mechanics principle. Through error mechanism analysis, it is found that, when the frequency of linear vibration is equal to the natural frequency of resonator, the standing wave is bound in the azimuth of different harmonics of mass imperfection with the change in vibration excitation direction. In other words, there are parasitic components in the azimuth of the standing wave of a resonator under linear vibration excitation, which can cause distortion of the output signal of a gyroscope. On the other hand, according to the standing wave binding phenomenon, the azimuths of the first–third harmonics of mass imperfection of a resonator can also be identified under linear vibration excitation, which can provide a theoretical method for the mass balance of an imperfect resonator.

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Precision balance method for cupped wave gyro based on cup-bottom trimming

Cited by 32 publications

References 2 publications

Force transmission of flexure-based leverage mechanism for static unbalance measuring system under self-gravity effect

Force transmission of flexure-based leverage mechanism for static unbalance measuring system under self-gravity effect

Analysis and compensation of mass imperfection effects on 3-D sensitive structure of bell-shaped vibratory gyro

Standing Wave Binding of Hemispherical Resonator Containing First–Third Harmonics of Mass Imperfection under Linear Vibration Excitation

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