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。
According to 1st order slip velocity boundary, Reynolds equation for micro gas journal bearings was given with consideration of effective viscosity under rarefied gas condition. Modified Reynolds equation was solved using the finite difference method. The non-dimensional pressure distribution, load capacities and attitude angles for different reference Knudsen numbers, bearing numbers and eccentricity ratios were obtained. Numerical analysis shows that the effect of effective viscosity on the performance of micro journal bearings is significant and the reference Knudsen number is its crucial factor. When the bearing number is constant, the pressure and load capacities decrease and attitude angle changes inversely with the reference Knudsen number increasing due to the effect of effective viscosity. The larger the eccentricity ratio, the larger the attitude angle gets. When the eccentricity ratio is less than 0.6, the effect of effective viscosity is unobvious. When the eccentricity ratio is constant, decreasing load capacities and increasing attitude angles are resulted from the effect of effective viscosity with increasing bearing numbers. The effect of effective viscosity is unobvious for smaller bearing numbers.