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基于1阶滑移速度边界,考虑到稀薄条件下气体的有效黏度,给出了气体径向微轴承润滑雷诺方程。采用有限差分法求解雷诺方程,得到不同参考努森数、轴承数以及不同偏心率下轴承的无量纲压力分布、无量纲承载能力及偏位角的大小。数值分析表明,稀薄条件下气体径向微轴承性能存在明显的有效黏度效应,而参考努森数是决定有效黏度效应的主要因素。相同轴承数时,随参考努森数的增大,气体有效黏度效应引起轴承的压力降低、承载力下降,而轴承偏位角增大;偏心率越大,有效黏度效应引起偏位角增大幅度越大,当偏心率小于0.6时,有效黏度效应不明显。相同偏心率时,有效黏度效应引起承载力降低、偏位角增大;轴承数较小时,气体的有效黏度效应不明显。
Based on the first-order slip velocity boundary, taking into account the effective viscosity of the gas under lean conditions, the radial Reynolds equation of radial micro-bearings lubrication is given. Using the finite difference method to solve the Reynolds equation, the non-dimensional pressure distribution, the dimensionless bearing capacity and the deflection angle of bearings with different reference Knudsen number, bearing number and eccentricity are obtained. Numerical analysis shows that there is a significant effective viscosity effect on gas radial micro-bearing performance under lean conditions, and the reference Knudsen number is the main factor that determines the effective viscosity effect. With the same number of bearings, with the increase of the reference Knudsen number, the effective viscosity of the gas causes the bearing pressure to drop, the bearing capacity to drop, and the bearing deflection angle to increase; the larger the eccentricity, the effective viscosity effect causes the offset angle to increase Larger amplitude, when the eccentricity is less than 0.6, the effective viscosity effect is not obvious. The same eccentricity, the effective viscosity caused by bearing capacity decreases, the deflection angle increases; the number of bearings is small, the effective viscosity of the gas effect is not obvious.