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Sensors 2013, 13(8), 10123-10150; doi:10.3390/s130810123
Article

Characterization of the Bell-Shaped Vibratory Angular Rate Gyro

1,2
, 1,2,* , 2
, 1
, 1,2
 and 2
1 School of Automation, Beijing Institute of Technology, Beijing 100084, China 2 Beijing Key Laboratory of High Dynamic Navigation Technology, Beijing Information Science & Technological University, Beijing 100101, China
* Author to whom correspondence should be addressed.
Received: 2 May 2013 / Revised: 15 July 2013 / Accepted: 29 July 2013 / Published: 7 August 2013
(This article belongs to the Section Physical Sensors)

Abstract

The bell-shaped vibratory angular rate gyro (abbreviated as BVG) is a novel shell vibratory gyroscope, which is inspired by the Chinese traditional bell. It sensitizes angular velocity through the standing wave precession effect. The bell-shaped resonator is a core component of the BVG and looks like the millimeter-grade Chinese traditional bell, such as QianLong Bell and Yongle Bell. It is made of Ni43CrTi, which is a constant modulus alloy. The exciting element, control element and detection element are uniformly distributed and attached to the resonator, respectively. This work presents the design, analysis and experimentation on the BVG. It is most important to analyze the vibratory character of the bell-shaped resonator. The strain equation, internal force and the resonator's equilibrium differential equation are derived in the orthogonal curvilinear coordinate system. When the input angular velocity is existent on the sensitive axis, an analysis of the vibratory character is performed using the theory of thin shells. On this basis, the mode shape function and the simplified second order normal vibration mode dynamical equation are obtained. The coriolis coupling relationship about the primary mode and secondary mode is established. The methods of the signal processing and control loop are presented. Analyzing the impact resistance property of the bell-shaped resonator, which is compared with other shell resonators using the Finite Element Method, demonstrates that BVG has the advantage of a better impact resistance property. A reasonable means of installation and a prototypal gyro are designed. The gyroscopic effect of the BVG is characterized through experiments. Experimental results show that the BVG has not only the advantages of low cost, low power, long work life, high sensitivity, and so on, but, also, of a simple structure and a better impact resistance property for low and medium angular velocity measurements.
Keywords: bell-shaped vibratory angular rate gyro; BVG; coriolis vibratory gyro; bell-shaped resonator bell-shaped vibratory angular rate gyro; BVG; coriolis vibratory gyro; bell-shaped resonator
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

Liu, N.; Su, Z.; Li, Q.; Fu, M.; Liu, H.; Fan, J. Characterization of the Bell-Shaped Vibratory Angular Rate Gyro. Sensors 2013, 13, 10123-10150.

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