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

Ma, Xiaofei; Su, Zhong

doi:10.1016/j.sna.2015.01.013

Cited by 13 publications

(7 citation statements)

References 17 publications

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“…Formula (36) shows that the precession factor of resonator has nothing to do with material parameters of the resonator, but only has a relation with the vibration structure of the resonator. The natural frequency of the resonator is…”

Section: ) the Establishment Of Dynamic Equationmentioning

confidence: 99%

“…So the subtle quality change will affect the whole rigid shafting distribution; the cutting is done on the lathe, it will cause damage to itself. Therefore, the mechanical balance of the resonator is adjusted by adopting a non-contact balance adjustment method, and the precise mechanical balance adjustment is realized by a pulse laser and a multi axis displacement platform [35], [36]. For the slight deviation of mechanical balance adjustment, we must rely on the circuit control technology to compensate.…”

Section: Resonator Characteristic Test a Natural Frequency Testmentioning

confidence: 99%

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Research on Eigenvalue Analysis Method in Multi-Surface Metal Shell Vibratory Gyro

Liu

2019

IEEE Access

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The metal shell vibratory gyro is a branch of Coriolis vibratory gyro, which has the advantage of overload resistance, simplify structure, low cost, wide range and long life. This paper focuses on multi-surface metal resonator. It is important that the eigenvalue analysis of multi-surface of hemisphere, cylinder and hyperbolic. Through analysis multi-surface characteristic, it presents a novel orthogonal curvilinear coordinate used machine error factor based on the traditional coordinate, which realizes boundary linear. We analyze its natural vibration characteristics, research on basic model distribution and built mode shape function of resonator; deeply research on dynamics characteristics of resonator under the condition of angular rate input, establish dynamics equation of multi-surface fusion metal shell vibratory gyroscope based on thin shell mechanics theory of elastic mechanics, solve out the eigenvalue of the resonator, and we also analyze this eigenvalue characteristics to lay the foundation of the follow-up study of the theory of the metal shell vibratory gyroscope. We test the gyro's temperature performance on the last. Finally, we test on the metal shell vibratory gyroscope, the ranges to ±3600 • /s, zero-bias stability is 7.862 • /h (25 • C), angular random walk is 1.487 • /h 1/2 . INDEX TERMS Vibratory gyro, eigenvalue analysis, multi-surface metal shell, metal shell vibratory gyroscope.

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Section: ) the Establishment Of Dynamic Equationmentioning

confidence: 99%

Section: Resonator Characteristic Test a Natural Frequency Testmentioning

confidence: 99%

Research on Eigenvalue Analysis Method in Multi-Surface Metal Shell Vibratory Gyro

Liu

2019

IEEE Access

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“…The difference between

and

, is known as the frequency split. Many restraining methods are given in other studies [ 11 , 12 , 23 ].…”

Section: Error Model Of Bell-shaped Vibratory Gyromentioning

confidence: 99%

“…This method evidently improves the accuracy and bandwidth of the BVG. In [ 11 , 12 ], the effects of frequency split on error are studied and a restraint method is presented based on structure balance and circuit control.…”

Section: Introductionmentioning

confidence: 99%

Error Model and Compensation of Bell-Shaped Vibratory Gyro

Liu

2015

Sensors

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A bell-shaped vibratory angular velocity gyro (BVG), inspired by the Chinese traditional bell, is a type of axisymmetric shell resonator gyroscope. This paper focuses on development of an error model and compensation of the BVG. A dynamic equation is firstly established, based on a study of the BVG working mechanism. This equation is then used to evaluate the relationship between the angular rate output signal and bell-shaped resonator character, analyze the influence of the main error sources and set up an error model for the BVG. The error sources are classified from the error propagation characteristics, and the compensation method is presented based on the error model. Finally, using the error model and compensation method, the BVG is calibrated experimentally including rough compensation, temperature and bias compensation, scale factor compensation and noise filter. The experimentally obtained bias instability is from 20.5°/h to 4.7°/h, the random walk is from 2.8°/h1/2 to 0.7°/h1/2 and the nonlinearity is from 0.2% to 0.03%. Based on the error compensation, it is shown that there is a good linear relationship between the sensing signal and the angular velocity, suggesting that the BVG is a good candidate for the field of low and medium rotational speed measurement.

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“…Most of the past research addressing axisymmetric structures with carried masses (or imperfections) either considered perturbations idealized to be of the "point mass" form as in Fox (1990); Gil Park et al (2008); Behbahani and M'Closkey (2017); Rourke et al (2001) or to be of the "sinusoidal" form as in Bisegna and Caruso (2007); Joubert et al (2014); Ma and Su (2015); Chaudhuri (2018); Rodrigues et al (2020). Unlike these articles, carried masses of the segmented form (such as that investigated in Park et al (2008)) which are more realistic than the previously mentioned forms are investigated here.…”

Section: Introductionmentioning

confidence: 99%

A frequency split trimming technique for axisymmetric shell structures

Anilkumar

George

Sharma

et al. 2022

Journal of Vibration and Control

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Axisymmetric shell structures are characterized by the presence of flexural modes which occur in degenerate pairs. However, since no practically realized structure is perfectly axisymmetric, the frequencies constituting a mode pair become unequal and causes what is commonly termed as “frequency split” between the modes. In applications such as vibratory gyroscopes, it is desired that the frequencies of the working pair of modes be equal. This work proposes an easily implementable (particularly in the industry) technique which reduces frequency split of a target mode pair. To address the frequency split trimming problem, this work investigates a model that describes the planar dynamics of a vibrating ring (which is prototypical to axisymmetric shell structures), with added mass segments. The effects of mass, as well as span, of an added segment on the ring’s natural frequencies and mode shapes are brought out. Novelties of the proposed trimming technique are that it employs added mass in the form of segments and that it has a negligible effect on the axes of the structure’s mode shapes. The technique is extended to general axisymmetric bodies, and it is validated experimentally for the case of a hemispherical resonator.

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

Cited by 13 publications

References 17 publications

Research on Eigenvalue Analysis Method in Multi-Surface Metal Shell Vibratory Gyro

Research on Eigenvalue Analysis Method in Multi-Surface Metal Shell Vibratory Gyro

Error Model and Compensation of Bell-Shaped Vibratory Gyro

A frequency split trimming technique for axisymmetric shell structures

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