稀薄效应对静压气体轴承性能影响
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摘要
针对微小气膜间隙下静压气体轴承内部气体的稀薄效应,运用有限体积法离散了体现稀薄效应的滑移修正Reynolds方程,通过MATLAB软件分析稀薄效应下轴承内部压强,并对轴承承载力及最终刚度变化进行研究。通过与不考虑稀薄效应的连续模型对比发现,当气膜间隙小于1μm时,最小气膜间隙处一阶滑移及Wu新滑移模型的气压、承载力及最终刚度远低于连续模型,模型间的结果偏差随气膜间隙的减小而迅速增大。
Aiming at the gas rarefied effect inside the aerostatic bearings in condition of micro-clearance,the slip correction Reynolds equation in the rarefied effect is dissociated by using the finite volume method. The internal pressure in the bearings under the rarefied effect is analyzed by MATLAB. Furthermore,the load capacity and final stiffness of the bearings is studied.Compared with continum model,when the gas film clearance becomes less than 1μm,the slip models of first order and new Wu give far lower gas pressure,load capacity and finial stiffness around the minimum gas film clearance. Moreover,the smaller gas film clearance,the higher deviation between models.
Aiming at the gas rarefied effect inside the aerostatic bearings in condition of micro-clearance,the slip correction Reynolds equation in the rarefied effect is dissociated by using the finite volume method. The internal pressure in the bearings under the rarefied effect is analyzed by MATLAB. Furthermore,the load capacity and final stiffness of the bearings is studied.Compared with continum model,when the gas film clearance becomes less than 1μm,the slip models of first order and new Wu give far lower gas pressure,load capacity and finial stiffness around the minimum gas film clearance. Moreover,the smaller gas film clearance,the higher deviation between models.
引文
[1]魏浩东,敖宏瑞,姜洪源.磁头/盘界面超薄气膜挤压效应和动压效应研究[J].摩擦学学报,2010,30(5):505-512.
[2]龙威,包钢.进口效应对小孔节流静压空气轴承静特性的影响[J].轴承,2010(7):31-35.
[3]王学敏,张启勇,庄明,等.低温氦透平膨胀机静压气体径向轴承的改进设计[J].机械工程学报,2010,46(15):142-145,154.
[4]李树森,郭永红,朱赞彬,等.精密机床静压气体轴承静特性分析及基本参数的优化[J].润滑与密封,2012,37(1):29-32.
[5]Dal A,Karacay T.Dynamics of Externally Pressurized Air Bearing with High Values of Clearance[C]∥ASME 2014 12th Biennial Conference on Engineering Systems Design and Analysis,Copenhagen:2014.
[6]Feng K,Li W J,Xie Y Q.et al.Analysis of the Slip Flow Effect on Gas-Lubricated Micro Spherical Spiral Groove Bearings for Machinery Gyroscope[J].Microsystem Technologies,2015(22):1-13.
[7]Jia C H,Du C F,Qiu M.Analysis of Steady State Characteristics of Aerodynamic Bearing Based on Fluent[C]∥4th Intemational Conference on Advanced Materials and Computer Science,Guangzhou,2015.
[8]杨琴,刘宇陆,张海军,等.气体稀薄效应对微机电系统(MEMS)气体轴承-转子系统不平衡响应的影响[J].西安交通大学学报,2015,49(7):134-139.
[9]Burgdorfer A.The Influence of the Molecular Mean Free Path on the Performance of Hydrodynamic Gas Lubricated Bearings[J].Transactions of the American Society Mechanical Engineers,1959,81:94-100.
[10]Wu L.A Slip Model for Rarefied Gas Flows at Arbitrary Knudsen Number[J].Applied Physics Letters,2008,93(25):2 531-2 533.
[11]Lee Y B,Kwak H D,Kim C H,et al.Numerical Prediction of Slip Flow Effect on Gas-Lubricated Journal Bearings for MEMS/MST-Based Micro-Rotating Machinery[J].Tribology International,2005,38(2):89-96.
[12]Zhang H J,Zhu C S,Tang M.Effects of Rarefaction on the Characteristics of Micro Gas Journal Bearings[J].Journal of Zhejiang University Science A,2010,11(1):43-49.
[13]张文明,孟光.随机表面粗糙度对MEMS径向气体轴承性能的影响[J].振动工程学报,2012,25(1):60-63.
[14]Zhang W M,Meng G,Wei K X.Numerical Prediction of Surface Roughness Effect on Slip Flow in Gas-Lubricated Journal Micro-Bearings[J].Tribology Transactings,2012,55(1):71-76.
[15]Feng K,Li W J.Coupled Effects of Random Surface Roughness and Slip Flow on the Gas-Lubricated Micro Spherical Spiral Groove Bearings[C]∥2015 IFTo MMWorld Congress,Taipei,2015.
[16]Zheng S F,Jiang S Y.Improved Finite Different Method for Pressure Distribution of Aerostatic Bearing[J].Journal of Southeast University(English Edition),2009,25(4):501-505.
[17]Patankar S.Numerical Heat Transfer and Fluid Flow[M].Florida:CRC Press,1980:88-90.
[2]龙威,包钢.进口效应对小孔节流静压空气轴承静特性的影响[J].轴承,2010(7):31-35.
[3]王学敏,张启勇,庄明,等.低温氦透平膨胀机静压气体径向轴承的改进设计[J].机械工程学报,2010,46(15):142-145,154.
[4]李树森,郭永红,朱赞彬,等.精密机床静压气体轴承静特性分析及基本参数的优化[J].润滑与密封,2012,37(1):29-32.
[5]Dal A,Karacay T.Dynamics of Externally Pressurized Air Bearing with High Values of Clearance[C]∥ASME 2014 12th Biennial Conference on Engineering Systems Design and Analysis,Copenhagen:2014.
[6]Feng K,Li W J,Xie Y Q.et al.Analysis of the Slip Flow Effect on Gas-Lubricated Micro Spherical Spiral Groove Bearings for Machinery Gyroscope[J].Microsystem Technologies,2015(22):1-13.
[7]Jia C H,Du C F,Qiu M.Analysis of Steady State Characteristics of Aerodynamic Bearing Based on Fluent[C]∥4th Intemational Conference on Advanced Materials and Computer Science,Guangzhou,2015.
[8]杨琴,刘宇陆,张海军,等.气体稀薄效应对微机电系统(MEMS)气体轴承-转子系统不平衡响应的影响[J].西安交通大学学报,2015,49(7):134-139.
[9]Burgdorfer A.The Influence of the Molecular Mean Free Path on the Performance of Hydrodynamic Gas Lubricated Bearings[J].Transactions of the American Society Mechanical Engineers,1959,81:94-100.
[10]Wu L.A Slip Model for Rarefied Gas Flows at Arbitrary Knudsen Number[J].Applied Physics Letters,2008,93(25):2 531-2 533.
[11]Lee Y B,Kwak H D,Kim C H,et al.Numerical Prediction of Slip Flow Effect on Gas-Lubricated Journal Bearings for MEMS/MST-Based Micro-Rotating Machinery[J].Tribology International,2005,38(2):89-96.
[12]Zhang H J,Zhu C S,Tang M.Effects of Rarefaction on the Characteristics of Micro Gas Journal Bearings[J].Journal of Zhejiang University Science A,2010,11(1):43-49.
[13]张文明,孟光.随机表面粗糙度对MEMS径向气体轴承性能的影响[J].振动工程学报,2012,25(1):60-63.
[14]Zhang W M,Meng G,Wei K X.Numerical Prediction of Surface Roughness Effect on Slip Flow in Gas-Lubricated Journal Micro-Bearings[J].Tribology Transactings,2012,55(1):71-76.
[15]Feng K,Li W J.Coupled Effects of Random Surface Roughness and Slip Flow on the Gas-Lubricated Micro Spherical Spiral Groove Bearings[C]∥2015 IFTo MMWorld Congress,Taipei,2015.
[16]Zheng S F,Jiang S Y.Improved Finite Different Method for Pressure Distribution of Aerostatic Bearing[J].Journal of Southeast University(English Edition),2009,25(4):501-505.
[17]Patankar S.Numerical Heat Transfer and Fluid Flow[M].Florida:CRC Press,1980:88-90.