Int J Performability Eng ›› 2020, Vol. 16 ›› Issue (9): 1451-1459.doi: 10.23940/ijpe.20.09.p14.14511459

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Impact of Resonator's Radius Nonuniformity on Hemispherical Resonator Gyro

Wei Li*, Jinjie Huang, and Rui Zhang   

  1. School of Automation, Harbin University of Science and Technology, Harbin, 150080, China
  • Submitted on ; Revised on ; Accepted on
  • Contact: * E-mail address: leenwei901@163.com

Abstract: This paper investigates the influence of resonator radius distributed nonuniformly in the circumferential direction on the accuracy of hemispherical resonator gyro under the parametric excitation and the positional excitation. According to the dynamic equation of ring-shaped hemispherical resonator, the error expression of gyro precession angular rates is derived. Then, the influence of radius nonuniformity on processing is studied through simulations under the parametric excitation. Further, the effect of radius nonuniformity on solving error of input angular rate is investigated through simulations under the open-loop and force-rebalance modes. In the end, tolerance towards radius nonuniformity is determined from the perspective of frequency splitting. Research results indicate that the fourth harmonic of radius' nonuniformity affects the accuracy of gyro.

Key words: hemispherical resonator gyro, radius nonuniformity, parametric excitation, positional excitation