摘要
针对微气体轴承给出参考努森数的定义,根据空气不同温度时的黏度,得到参考努森数的分布范围;考虑气体稀薄效应,给出基于Burgdorfer一阶滑移速度边界的微气体径向轴承润滑Reynolds方程的修正形式;采用有限差分法求解修正的Reynolds方程,得到不同参考努森数Kn_0,轴承数以及轴颈偏心率情况下轴承的压力分布、无量纲承载能力及偏位角。数值分析表明:随气体稀薄程度的增强,气体径向轴承的压力明显降低,无量纲承载力降低,而轴承偏位角增大。当偏心率小于0.6时,轴承偏位角变化平缓,受Kn_0数的影响不明显。当轴承数较小时,气体稀薄程度对轴承的无量纲承载力、偏位角影响较小。
The reference Knudsen number is defined for micro gas journal bearings and its value range is obtained according to the viscosity data of air at different temperatures. With gas rarefaction effect, modified Reynolds equation for micro gas journal bearings is presented based on Burgdorfer＇s first order slip boundary condition. The finite difference method is used to solve the modified Reynolds equation, and pressure, load capacity and journal attitude angle of the bearing are obtained at different reference Knudsen numbers, bearing numbers and journal eccentricity ratios. Numerical results show that with the increase of gas rarefaction, bearing pressure and non-dimensional load capacity decrease obviously, and journal attitude angle increase. When the journal eccentricity ratio is less than 0.6, journal attitude angle changes insignificantly and the influence on it from the reference Knudsen number is unobvious. Moreover, when the bearing number is small, the influence of gas rarefaction on non-dimensional load capacity and journal attitude angle is also insignificant.
出处
《力学学报》
EI
CSCD
北大核心
2009年第6期941-946,共6页
Chinese Journal of Theoretical and Applied Mechanics
基金
教育部博士点基金(20070335184)
国家自然科学基金(10472101)资助项目~~
关键词
参考努森数
稀薄效应
REYNOLDS方程
有限差分法
reference Knudsen number, rarefaction effect, Reynolds equation, finite difference method
