Linearity analysis of a hemispherical resonator gyro (HRG) based on force-rebalance mode

Abstract

Linearity is one of the most important static indexes of hemispherical resonator gyro (HRG). Linearity directly affects the measurement error of the HRG in the full range, thus determining the effective range of the HRG. Through finite element analysis of the linearity of the HRG under force-rebalance mode, we can provide a theoretical basis for compensating the linearity by circuit or software, improving the linearity of the gyro combination and increasing the maximum effective range of the gyro combination.

Implementation of Hemispherical Resonator Gyroscope with 3 × 3 Optical Interferometers for Analysis of Resonator Asymmetry

“…However, the linear character of the ratio trace in a complex plane allows us to extract the applied angular rate even with the asymmetries in resonator. Mathematically, the angular rate can be derived from Equation (16) as…”

“…Furthermore, the distance from the nearest point to the point obtained with Ω z = 0 is calculated as the value of Ba. The angle of the line against the vertical line is the angle θ in Equation (16). By utilizing this process, all constants of Equation ( 16) or Equation ( 20) can be obtained.…”

“…Inversely, the Coriolis force can be calculated by measuring the change in the vibration pattern of the resonator. In order to improve the performance of HRG, many studies have been actively performed, mainly with the resonator itself [2][3][4][5][6], the driving method [7][8][9][10][11][12], and the signal processing [13][14][15][16][17]. However, the research on the vibration measurement method has been relatively insufficient.…”