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

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
.