Abstract
The work is devoted to an analysis of interference torque of a gas-dynamic bearing gyroscope, while a condition with uniformly changed specific force and carrier angular velocity are taken into account. A five-degrees-of-freedom (5-DOF) model is established considering the translation and tilt of the rotor, which solves dynamic rotor equations and the Reynolds equation simultaneously. The model makes it possible to obtain the rotor trajectory under time-transient specific force and carrier angular velocity. The interference torque of the gyroscope is analyzed based on the rotor trajectory. Results indicate that the gas-dynamic bearings show a significant hysteresis effect with a perturbation of bearing force or bearing moment, which indicates the necessity of transient research. Interference torque is large when the carrier angular velocity starts to change or stops to change, and when the specific force stops to change. When the specific force change rate is less than 8.4 km/s3 with no change of the carrier angular velocity, the condition could be simplified as a steady state, which is consistent with the previous study.
Highlights
Gas-dynamic bearing gyroscopes have gained wide acceptance with high precision.Their performance determines the precision of the inertial navigation system to a large extent [1,2,3].They have been designed with gas-dynamic bearings to support the rotor
Based on the analytical theory, numerical procedures were programmed with MATLAB
Results in Sections arevelocity obtainedisbased on the assumption, the trajectory and thevalues phasefor portrait changed to f2, the4.2–4.4 angular changed to ω c1, and they maintained these t > t 1
Summary
Gas-dynamic bearing gyroscopes have gained wide acceptance with high precision. Their performance determines the precision of the inertial navigation system to a large extent [1,2,3]. Zhang et al [26] developed a method to track the rotor by predicting the rotor position in the time step with states in the previous two steps, which improves the calculation speed too, but the effect of prediction is poor in the position of high nonlinearity, resulting to a divergence of the calculation. Liu [28] studied the interference torque of a gas-floated gyroscope with surface roughness considered. Established a static error model of a three-floated gyroscope with a rotor supported on gas-dynamic bearings and calculated the transient interference torque under the assumption that the specific force changes suddenly. Hysteresis effects of the gas-dynamic bearings are studied, which shows the necessity to investigate the transient behavior with a nonlinear model. Transient interference torque curves are obtained considering a uniform change of the specific force and the carrier angular velocity
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