Li Yan, Zhang Desheng, Duan Fuhai
Research Center of Fluid Machinery Engineering and Technology, Jiangsu University, Zhenjiang 212013, China.
School of Mechanical Engineering, Dalian University of Technology, Dalian 116023, China.
Sensors (Basel). 2020 Nov 30;20(23):6852. doi: 10.3390/s20236852.
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/s with no change of the carrier angular velocity, the condition could be simplified as a steady state, which is consistent with the previous study.
这项工作致力于分析气动力轴承陀螺仪的干扰扭矩，同时考虑比力和载体角速度均匀变化的情况。建立了一个五自由度（5-DOF）模型，该模型考虑了转子的平移和倾斜，同时求解动态转子方程和雷诺方程。该模型能够在时变比力和载体角速度下获得转子轨迹。基于转子轨迹分析了陀螺仪的干扰扭矩。结果表明，气动力轴承在轴承力或轴承力矩受到扰动时表现出显著的滞后效应，这表明进行瞬态研究的必要性。当载体角速度开始变化或停止变化以及比力停止变化时，干扰扭矩较大。当载体角速度不变且比力变化率小于8.4 km/s时，该条件可简化为稳态，这与先前的研究一致。
