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

Ning Liu,Zhong Su

doi:10.1109/access.2019.2943513

Abstract

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 .

Highlights

The ability of range and overload resistance of the traditional metal shell vibratory gyroscope like cylinder-shaped, cone-shaped, rotating parabolic-shaped, is restricted by its own structure
Through analysis of the above three problems, this paper aims to put forward a kind of eigenvalue analysis method for the metal shell vibratory gyroscope of multi-surface fusion structure form
The former solves out the dynamic equation and the equivalent dynamic equation by establishing the mechanical kinetic energy, mechanical potential energy, and external potential energy, and using the Lagrange method

Summary

INTRODUCTION

The ability of range and overload resistance of the traditional metal shell vibratory gyroscope like cylinder-shaped, cone-shaped, rotating parabolic-shaped, is restricted by its own structure. Watson Industries Inc., Innalabs Holding Inc. and BAE have kinds of cylinder vibratory gyros which are wildly used in low and medium accuracy angular rate measurements fields, including vehicle navigation, oil exploration etc Su: Research on Eigenvalue Analysis Method in Multi-Surface Metal Shell Vibratory Gyro curvilinear coordinates, such as cylinder, cone, frustum, paraboloid shaped structure, and give a systematic exposition of the characteristics of this kind of coordinates and related mechanical properties [20], [21]. Through analysis of the above three problems, this paper aims to put forward a kind of eigenvalue analysis method for the metal shell vibratory gyroscope of multi-surface fusion structure form The former solves out the dynamic equation and the equivalent dynamic equation by establishing the mechanical kinetic energy, mechanical potential energy, and external potential energy, and using the Lagrange method.

THE ANALYSIS OF LIMITATIONS OF ORTHOGONAL CURVILINEAR COORDINATE SYSTEM

PROTOTYPE TEST

CONCLUSION