Frequency splitting of hemispherical resonators trimmed with focused ion beams

Wang, Changhong; Ning, Youhuan; Huo, Yan; Yuan, Lihua; Wei, Cheng; Tian, Zhen

doi:10.1016/j.ijmecsci.2023.108682

Cited by 6 publications

(1 citation statement)

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“…During the production of a hemispherical resonator, an uneven distribution of mass can occur due to a workpiece clamping eccentricity, tool vibration, or uneven tool wear, any of which will cause a decrease in the performance of the gyroscope. There is a large amount of literature about mass defects in resonators [13][14][15][16][17][18]. However, when studying dynamic models, researchers often use simple linear models, and few pay attention to the effects of nonlinearity.…”

Section: Introductionmentioning

confidence: 99%

The Influence of Nonlinear High-Intensity Dynamic Processes on the Standing Wave Precession of a Non-Ideal Hemispherical Resonator

Cheng,

Ren,

et al. 2024

Sensors

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The properties of small size, low noise, high performance and no wear-out have made the hemispherical resonator gyroscope a good choice for high-value space missions. To enhance the precision of the hemispherical resonator gyroscope for use in tasks with large angular velocities and angular accelerations, this paper investigates the standing wave precession of a non-ideal hemispherical resonator under nonlinear high-intensity dynamic conditions. Based on the thin shell theory of elasticity, a dynamic model of a hemispherical resonator is established by using Lagrange’s second kind equation. Then, the dynamic model is equivalently transformed into a simple harmonic vibration model of a point mass in two-dimensional space, which is analyzed using a method of averaging that separates the slow variables from the fast variables. The results reveal that taking the nonlinear terms about the square of the angular velocity and the angular acceleration in the dynamic equation into account can weaken the influence of the 4th harmonic component of a mass defect on standing wave drift, and the extent of this weakening effect varies with the dimensions of the mass defects, which is very important for steering the development of the high-precision hemispherical resonator gyroscope.

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