基于有限长线接触斜齿轮热弹性流体动力润滑研究
|
摘要
课题来源于国家“十二五”科技支撑计划资助项目“齿轮箱轻量化关键技术研究与应用(2011BAF09B07)”和“7MW级风电齿轮箱及主轴轴承产业化关键技术研究(2012BAA01B05)”。
润滑失效是齿轮传动失效的主要方式之一，油膜破裂导致金属固体直接接触，产生局部高温，容易形成齿面磨损、胶合等失效形式。目前齿轮设计主要还是基于Hertz接触理论的经典力学设计，随着现代工业发展，齿轮传动正朝着高速、重载方向发展，现有设计理论和方法已难以满足实际需要。将齿轮的摩擦、磨损及润滑问题，同齿轮设计进行有机结合是齿轮设计的发展方向。论文以斜齿轮为研究对象，基于有限长线接触模型，开展其非牛顿流体热弹流润滑特性分析，为齿轮参数设计提供摩擦学理论依据，具有重要的理论意义和实际应用价值。
论文主要内容如下：
①有限长线接触弹流润滑基础理论。将二维点接触弹流润滑算法运用到有限长线接触弹流润滑模型的计算，研究热效应、非牛顿特性及工况变化对润滑压力、膜厚、温度及摩擦系数等润滑特性的影响，提出稳定、高效的有限长线接触数值算法，为斜齿轮润滑分析奠定基础。
②斜齿轮经典弹流润滑分析。针对斜齿轮啮合特点将其等效为两个反向圆锥接触的润滑模型，得到啮合过程中接触齿对等效曲率半径、卷吸速度、滑滚比及载荷等参数；研究牛顿流体和等温条件下啮合过程中润滑压力、膜厚等参数变化规律和载荷、转速变化对润滑特性影响。
③斜齿轮非牛顿热弹流润滑研究。分别考虑热效应与流体非牛顿特性对斜齿轮润滑特性影响，选取Ree-Eyring和Power-law流体进行分析，讨论特征剪切应力和流体指数对润滑油膜压力、膜厚及温度等影响，分析非牛顿和热效应对斜齿轮啮合过程润滑参数影响。
④几何参数与工况变化对斜齿轮润滑特性影响。讨论斜齿轮几何设计参数对润滑特性影响，研究不同流体下，载荷与转速变化对斜齿轮润滑特性影响。
⑤采用准稳态方法建立粗糙度表面的斜齿轮微观弹流润滑模型，讨论粗糙度幅值、波长及工况变化对斜齿轮接触润滑特性影响。
The research subject of the dissertation stems from the " The study of keytechnologies of lightweight gearbox "and "The study of key technologies ofindustrialization for7MW wind turbine gearbox and spindle bearing" in the NationalScience and Technology Pillar Program during the Twelfth Five-year Plane Period ofChina.
Lubrication failure is one of the major forms of gear transmission failure. The filmrupture leads to the contact between mental solid, resulting in the local hightemperature which may cause the gear wear and scuffing failure. Currently, the geardesign is mainly based on classical mechanics of Hertz contact theory. However, withthe development of modern industry, gear transmission develops with the tendency ofhigh-speed and heavy-load and the corresponding requirements cannot be met by theexisting design theory and method. The development direction of theory on gear designis the combination of friction, wear, lubrication and gear design. In this paper, takinghelical gears as the research project, based on the finite line contact model, the researchon characteristics of non-Newtonian thermal Elastohydrodynamic lubrication model isconducted. The research provides the gear design with lubrication theory basis, whichhas significant theoretical significance and practical value.
The main contents of this dissertation are shown as follows:
①The basic theory of finite line contact elastohydrodynamic lubrication. Appliedthe2-dimension point contact elastohydrodynamic lubrication algorithm into thecalculation of finite line contact elstohydrodynamic lubrication model, the influence ofthermal effect, non-Newtonian features and operating condition on lubrication pressure,film thickness and friction coefficient. A efficient and effective numerical algorithm forline contact model is proposed, providing the foundation for the following helical gearlubrication analysis.
②The classical elastohydrodynamic lubrication analysis for helical gears.According to the meshing characteristics of helical gears, the equivalent lubricationmodel with two reverse-direction cones is built, achieving the equivalent curvature,entrainment velocity, slide-roll ratio, load and other parameters of gears during themeshing process. The research on lubrication pressure and film thickness during themeshing is conducted with newtonian fluid and isothermal condition. The influence of lubrication pressure, film thickness, load and rotational speed on the lubricationcharacteristics is analyzed.
③The research on non-Newtonian thermal elastohydrodynamic lubrication forhelical gears. Considering the effect of thermal effect and non-Newtonian characters offluid on the lubrication characteristics of helical gears, taking Ree-Eyring andPower-law fluid as the research project, the influence of shear stress and fluid index onlubrication pressure, film thickness and temperature and the influence of non-Newtonand thermal effect on lubrication parameters are discussed and investigated.
④The influence of geometrical parameters and operating conditions onlubrication characteristics for helical gears. The research on the influence of helical geargeometrical parameters, different fluid, load and rotational speed on lubricationcharacteristics are conducted.
⑤On the strength of quasi-stable state method, the micro-EHL model for helicalgears with roughness surface is built. According to this model, the influence ofroughness amplitude, wave length and working condition on the lubricationcharacteristics is achieved.
润滑失效是齿轮传动失效的主要方式之一，油膜破裂导致金属固体直接接触，产生局部高温，容易形成齿面磨损、胶合等失效形式。目前齿轮设计主要还是基于Hertz接触理论的经典力学设计，随着现代工业发展，齿轮传动正朝着高速、重载方向发展，现有设计理论和方法已难以满足实际需要。将齿轮的摩擦、磨损及润滑问题，同齿轮设计进行有机结合是齿轮设计的发展方向。论文以斜齿轮为研究对象，基于有限长线接触模型，开展其非牛顿流体热弹流润滑特性分析，为齿轮参数设计提供摩擦学理论依据，具有重要的理论意义和实际应用价值。
论文主要内容如下：
①有限长线接触弹流润滑基础理论。将二维点接触弹流润滑算法运用到有限长线接触弹流润滑模型的计算，研究热效应、非牛顿特性及工况变化对润滑压力、膜厚、温度及摩擦系数等润滑特性的影响，提出稳定、高效的有限长线接触数值算法，为斜齿轮润滑分析奠定基础。
②斜齿轮经典弹流润滑分析。针对斜齿轮啮合特点将其等效为两个反向圆锥接触的润滑模型，得到啮合过程中接触齿对等效曲率半径、卷吸速度、滑滚比及载荷等参数；研究牛顿流体和等温条件下啮合过程中润滑压力、膜厚等参数变化规律和载荷、转速变化对润滑特性影响。
③斜齿轮非牛顿热弹流润滑研究。分别考虑热效应与流体非牛顿特性对斜齿轮润滑特性影响，选取Ree-Eyring和Power-law流体进行分析，讨论特征剪切应力和流体指数对润滑油膜压力、膜厚及温度等影响，分析非牛顿和热效应对斜齿轮啮合过程润滑参数影响。
④几何参数与工况变化对斜齿轮润滑特性影响。讨论斜齿轮几何设计参数对润滑特性影响，研究不同流体下，载荷与转速变化对斜齿轮润滑特性影响。
⑤采用准稳态方法建立粗糙度表面的斜齿轮微观弹流润滑模型，讨论粗糙度幅值、波长及工况变化对斜齿轮接触润滑特性影响。
The research subject of the dissertation stems from the " The study of keytechnologies of lightweight gearbox "and "The study of key technologies ofindustrialization for7MW wind turbine gearbox and spindle bearing" in the NationalScience and Technology Pillar Program during the Twelfth Five-year Plane Period ofChina.
Lubrication failure is one of the major forms of gear transmission failure. The filmrupture leads to the contact between mental solid, resulting in the local hightemperature which may cause the gear wear and scuffing failure. Currently, the geardesign is mainly based on classical mechanics of Hertz contact theory. However, withthe development of modern industry, gear transmission develops with the tendency ofhigh-speed and heavy-load and the corresponding requirements cannot be met by theexisting design theory and method. The development direction of theory on gear designis the combination of friction, wear, lubrication and gear design. In this paper, takinghelical gears as the research project, based on the finite line contact model, the researchon characteristics of non-Newtonian thermal Elastohydrodynamic lubrication model isconducted. The research provides the gear design with lubrication theory basis, whichhas significant theoretical significance and practical value.
The main contents of this dissertation are shown as follows:
①The basic theory of finite line contact elastohydrodynamic lubrication. Appliedthe2-dimension point contact elastohydrodynamic lubrication algorithm into thecalculation of finite line contact elstohydrodynamic lubrication model, the influence ofthermal effect, non-Newtonian features and operating condition on lubrication pressure,film thickness and friction coefficient. A efficient and effective numerical algorithm forline contact model is proposed, providing the foundation for the following helical gearlubrication analysis.
②The classical elastohydrodynamic lubrication analysis for helical gears.According to the meshing characteristics of helical gears, the equivalent lubricationmodel with two reverse-direction cones is built, achieving the equivalent curvature,entrainment velocity, slide-roll ratio, load and other parameters of gears during themeshing process. The research on lubrication pressure and film thickness during themeshing is conducted with newtonian fluid and isothermal condition. The influence of lubrication pressure, film thickness, load and rotational speed on the lubricationcharacteristics is analyzed.
③The research on non-Newtonian thermal elastohydrodynamic lubrication forhelical gears. Considering the effect of thermal effect and non-Newtonian characters offluid on the lubrication characteristics of helical gears, taking Ree-Eyring andPower-law fluid as the research project, the influence of shear stress and fluid index onlubrication pressure, film thickness and temperature and the influence of non-Newtonand thermal effect on lubrication parameters are discussed and investigated.
④The influence of geometrical parameters and operating conditions onlubrication characteristics for helical gears. The research on the influence of helical geargeometrical parameters, different fluid, load and rotational speed on lubricationcharacteristics are conducted.
⑤On the strength of quasi-stable state method, the micro-EHL model for helicalgears with roughness surface is built. According to this model, the influence ofroughness amplitude, wave length and working condition on the lubricationcharacteristics is achieved.
引文
[1] T.I. Flowe. Gear Lubrication, Lubrication Engineering,Vol32,1976,NO.1,205-219.
[2] P.M. Ku. Gear failure mode. ASLE vOL19,1977,243-249.
[3] O. Reynolds. On the theory of lubrication and its application to Mr.Beauchamp Tower’sexperiments, including an experiment determination of the viscosity of olve oil,Phil.Trans.Roy.Soc.,A,V.177,1866.
[4] Dowson D, Higginson G.R. A numerical solution to the elastohydrodynamic problem[J].Journal of Mechanical Engineering Science,V.1,N.1,1959..
[5] Hamrock B.J., Dowson D. Isothermal elastohydrodynamic lubrication of point contacts, Part1-Theoretical formulation[J], Journal of Lubrication Technology, Trans.ASME, V.98, N.2,1976.
[6] Martin H.M. The lubrication of gear teeth. Engineering, V.102,1916.
[7] Blok H. Fundamental mechanical aspects of thin film lubrication. Am.N.Y.Acad.Sci. V.53,1950.
[8] Herrebrugh K. Solving the incompressible and isothermal problem in elastohydrodynamiclubrication through an integral equation[J]. Journal of Lubrication Technology, Trans.ASME,V90,N.1,1968.
[9] Archard J.F., Kirk M.T. Lubrication at point contacts. Proc. Roy. Soc. London, Series A,V.261,1961.
[10] Evans H.P., Snidle R.W. The isothermal elastohydrodynamic lubrication of spheres[J].Journal of Lubrication Technology, Trans.ASME,V.103,N.4,1981.
[11] Rohde S.M., Oh K.P. A unified treatment of thick and thin film using higher order elementmethods[J]. Proc.Roy..Soc.London,Series A,V.343,1975.
[12]杨沛然,温诗铸.用残量法求解弹流问题完全数值解[D].第一届清华大学摩擦学会议论文,1986.
[13] Houpert L.G, Hamrock.B.J. Fast approach for calculating film thickness and pressures inelastohydrodynamic lubricated contacts at high loads. NASA Technical Memorandum87032,1985.
[14]艾晓岚.线接触非稳态弹流润滑的完全数值解及其应用研究[D].清华大学硕士学位论文,1986.
[15] Yang Peiran, Wenshizhu. A forward iterative numerical method for steady stateelastohydrodynamically lubricated line contacts[J]. Tribology International, V.23,N.1,1990.
[16]温诗铸，黄平.摩擦学原理（第三版）[M].清华大学出版社，2008.9
[17] A.Lubrecht, W.E.Ten Napel and R.Bosma. Multigrid, an Alternative Method for CalculatingFilm Thickness and Pressure Profiles on Elastohydrodynamically Lubricated LineContacts[J]. ASME Journal of Tribology.1986,108(4):551-556.
[18] A.Brandt, A.A.Lubrecht. Multilevel Matrix Multiplication and Fast Solution of IntegralEquations[J]. Journal of Computational Physics,1990,90:348-370.
[19] C.H.Venner,, W.E ten Napel. Numerical calculations of the pressure spike inelastohydrodynamic lubrication. Lubrication Science,19902(4):321-335.
[20] C.H Venner, W.E ten Napel, R. Bosma. Advanced Multilevel Solution of the EHL LineContact Problem[J]. Journal of Tribology, Transaction of the ASME,1990,112(3):426-432.
[21] Xiaolan Ai. Numerical analyses of elastohydrodyanmically lubricated line and point contactswith rough surface by using semi-system and multigrid methods[D]. PHD Thesis,Northwestern University, Evanston, Illinois,1993.
[22] K.H. Kim, F.Sadeghi. Three-Dimensional Temperature Distribution in EHD Lubrication Part1-Circular Contact[J]. Journal of Tribology, Transaction of the ASME,1992,114(1):32-41.
[23]郭峰，杨沛然，常秋英.等温线接触弹流润滑求解的多重网格技术[J].青岛建筑工程学院学报，1998,3:51-58.
[24] Ju Y, Farris T N. Spectral analysis for two-dimensional contact problems[J]. ASME Journalof Tribology,1996,118:320-328.
[25] Nogi takashi, Kato takahisa. Influence of a hard surface layer on the limit of elasticcontact-Part1: Analysis using a real surface model[J]. Journal of Tribology, Transactions ofthe ASME,1997,119(3):493-500.
[26] Ai XL, Sawamiphakdi K. Solving Elastic Contact Between Rough Surface as anUnconstrained Strain Energy Minimization by Using CGM and FFT Techniques[J]. ASMEJournal of Tribology,1999,121:639-647.
[27]李震，桂长林.线接触弹流问题弹性变形方程的数字信号解法[J].机械工程学报，1999,35(4):29-33.
[28] I.A. Polosky, L.M. Keer. Fast and accurate method for numerical analysis of elastic layeredcontacts[J]. Journal of Tribology, Transactions of the ASME,2000,122(1):30-35.
[29] Liu SB, Wang Q, Liu G. A versatile method of discrete convolution and FFT(DC-FFT) forcontact analysis[J]. Wear,2000,243(1-2):101-110.
[30]王文中，王慧，胡元中.润滑接触中弹性变形的快速数值计算[J].摩擦学学报，2002,22（5）：390-394.
[31]徐华，朱均.粗糙表面点接触弹流润滑的快速解法研究[J].哈尔滨工业大学学报，2006,38:354-357.
[32]杨沛然.流体润滑数值分析[M].国防工业出版社，1998.10.
[33] H.S. Cheng. A refined solution to the thermal elastohydrodynamic lubrication of rolling andsliding cylinders[J]. ASLE Transactions,1965,8(2):397-410.
[34] Vichard J.P. Transient effects of the lubrication of hertzian contact[J]. J.Mech.Engnr. Sci.,1971,13(3):173-189.
[35]侯克平，温诗铸.重载点接触热弹流问题的逆解迭代法[M].第四届全国摩擦学学术会议论文集，清华大学出版社，1987.
[36] T.F.Conry, S.Wang, C.Cusano. A Reynolds-Eyring Equation for ElastohydrodynamicLubrication Line Contacts[J]. Journal of Tribology, Transactions of the ASME,1987,109(10):648-654.
[37]杨沛然.非稳态热弹性流体动力润滑研究[D].清华大学博士学位论文，1989.
[38] P.Yang, S.Wen. A Generalized Reynolds Equation for Non-Newtonian ThermalElastohydrodyanamic Lubrication[J]. ASME Journal of Tribology,1990,112:631-636.
[39] S.Wang, C.Cusano, T.F.Conry. Thermal Analysis of Elastohydrodynamics Lubrication ofLine Contacts Using the Ree-Eyring Fluid Model[J]. ASME Journal of Tribology,1991,113:232-244.
[40] P.C.Sui, F.Sadeghi. Non-Newtonian Thermal Elastodrodynamic Lubrication[J]. ASMEJournal of Tribology,1991,113:390-397.
[41] C.H.Venner. Multilevel solution of the EHL line and point contact problems[D].PHD Thesis,Enschede: University of Twente,1991.
[42] Chang L, Farnum C. A Thermal model for elastodrodynamic lubrication of rough surface[J].Tribology Transaction,1992,35(2):281-286.
[43] H.S.Hsiao, B.J.Hamrock. A Complete Solution for Thermal Elastohydrodynamic Lubricationof Line Contacts Using Circular Non-Newtonian Fluid Model[J]. ASME Journal of Tribology,1992,114:540-552.
[44] R.T.Lee, C.H.Hsu. A Fast Method for the Analysis of Thermal-ElastohydrodynamicLubrication of Rolling/Sliding Line Contacts[J]. Wear,1993,166:107-117.
[45] Ren N, Lee S. Contact simulation of three-dimensional rough surfaces using moving gridmethod[J]. ASME Journal of Tribology,1993,115:597-601.
[46] Ai XL, H.S.Cheng. Atransient EHL Analysis for Line Contacts with the MeasuredSurface-Roughness Using Multigrid Technique[J]. ASME Journal of Tribology,1993,115:549-558.
[47] C.H.Venner, A.A.Lubrecht. Transient Anaysis of Surface Features in an EHL Line Contact inthe Case of Sliding[J]. ASME Journal of Tribology,1994,116:186-193.
[48] J.Liu. Thermal Non-Newtonian Elastohydrodynamic Lubrication of Point Contac[D]. PHDThesis, The University of Leeds,Leeds,UK,1994.
[49] Ai XL, H.S.Cheng. The Influence of Moving Dent on Point EHL Contacts[J]. STLETribology, Transactions,1994,37:323-335.
[50] Tian XF, Kennedy FE. Maximum and average flash temperature in sliding contacts[J]. ASMEJournal of Tribology,1994,116(1):167-174.
[51] R.T.Lee, C.H.Hsu, W.F.Kuo. Multilevel solution for thermal elastohydrodynamic lubricationof rolling/sliding circular contacts[J]. Tribology International,1995,28(8):541-552.
[52] Jiang X, Wong PL, Zhang Z. Thermal Non-Newtonian EHL analysis of rib-roller and contactin tapered roller bearings[J]. Transaction of the ASME, Journal of Tribology,1995,117:646-654.
[53] H.P. Evans, R.W.Snidle. Analysis of micro-elastohydrodynamic lubrication for engineeringcontacts[J]. Tribology International,1996,29(8):659-667.
[54] R.C.Bhattacharjee, N.C.Das. Power law fluid model incorporated into elastohydrodynamiclubrication theory[J]. Tribology International,1996,29(5):405-413.
[55] P.Yang, J. Shen. On the Theory of Time-Dependent Micro-TEHL for a Non-NewtonianLubrication in Line Contacts[J]. Lubrication Science,1996,8:297-312.
[56] Ai XL, H.S.Cheng. The effects of Surface Texture on EHL Point Contacts[J]. ASME Journalof Tribology,1996,118:59-65.
[57] D.Zhu, XL. Ai. Point Contact EHL Based on Optically Measured Three-Dimensional RoughSurface[J]. ASME Journal of Tribology,1997,119:375-384.
[58]梅雪松，陶涛.载荷对凹陷表面的动态微弹流润滑特性的影响[J].机械工程学报，1997,33:1-6.
[59] M.T.Ma. Effects of the Non-Newtonian Behavior of Lubricants on the Temperature, Traction,and Filme Thickness in an Elliptical EHD Contact Under Heavy Loads[J]. ASME Journal ofTribology,1998,120:685-694.
[60] F.Chevalier, A.A.Lubrecht, P.M.E.Cann, F.Colin, G.Dalmaz. Film Thickness in Starved EHLPoint Cotacts[J], ASME Journal of Tribology,1998,120:126-133.
[61]郭峰.椭圆接触微观热弹性流体动力润滑求解的多重网格算法研究[D].青岛建筑工程学院硕士学位论文，1998.
[62] Qiu L., Cheng H.S. Temperature rise simulation of three-dimensional rough surface in mixedlubricated contact[J]. ASME Journal of Tribology,1998,120(2):310-318.
[63] Jiang XF, Hua DY, Cheng H.S., Ai XL, Lee SC. A Mixed Elastohydrodynamic LubricationModel with Asperity Contact[J]. ASME Journal of Tribology,1999,121:481-491.
[64] Luo JB, Huang P, Wen SZ. Characteristics of Fluid Lubricant Films at the Nano-Scale[J].ASME Journal of Tribology,1999,121(4):872-878.
[65]郭峰，杨沛然.磨损表面轮廓对点接触热弹流润滑的影响[J].摩擦学学报，1999,19（3）：266-270.
[66] YZ Hu, D. Zhu. A full numerical solution to the mixed lubrication in point contacts[J].Journal of Tribology,2000,122:1-9.
[67] Zhai XJ, Chang L. A transient thermal model for mixed film contacts[J]. TribologyTransaction,2000,43(3):427-434.
[68] Messe S, Lubrecht A.A. Transient elatohydrodynamic analysis of an overhead cam/tappetcontact[J]. Proceedings of the Institution of Mechanical Engineers, Part J, Journal ofEngineering Tribology,2000,214(5):415-425.
[69] H.J Kim, D Dowson, C.M.Taylor. Thermal elastohydrodynamic analysis of circularcontacts Part2:non-Newtonian model[J]. Proceedings of the Institution of MechanicalEngineers, Part J, Journal of Engineering Tribology,2001,215(4):353-362.
[70] F.Guo, P.Yang, P.L.Wong. On the thermal elastohydrodynamic lubrication in opposite slidingcircular contacts[J]. Tribology International,2001,34:443-452.
[71]王静，杨沛，兼田桢宏，西川宏志.热弹流润滑椭圆接触区内表面凹陷现象的研究[J].摩擦学学报，2001,21(6):478-481.
[72]刘晓玲，杨沛然.指数率非牛顿流体的等温线接触弹流润滑分析[J].润滑与密封,2002,1:5-7.
[73]王文中，王慧，胡元中.小膜厚比下热混合润滑的计算机模拟[J].摩擦学学报，2002,22(4):344-348.
[74] Liu SB, Wang Q. Transient Thermoelastic Stress Fields in a Half-Space[J]. ASME, Journal ofTribology,2003,125(1):33-43.
[75]王文中.混合润滑的数值模拟和试验研究[D].清华大学博士学位论文,2003年.
[76] M.Kaneta, P.Yang. Formation Mechanism of Steady Multi-Dimples in Thermal EHL PointContacts[J]. ASME, Journal of Tribology,2003,125:241-251.
[77] B.Daniens, C.H.Venner, P.M.Cann, A.A.Lubrecht. Starved Lubrication of Elliptical EHDContacts[J]. ASME Journal of Tribology,2004,126:105-111.
[78]孙浩洋，杨沛然，陈晓阳.滚滑工况弹流反常温度场的研究[J].摩擦学学报，2004,24(1):66-69.
[79] XL Liu, M.Jiang, PR. Yang, M.Kaneta. Non-Newtonian Thermal Analyses of Point EHLContacts Using the Eyring Model[J]. ASME, Journal of Tribology,2005,127:70-81.
[80] P.Yang, J.Cui, Z.M Jin, D.Dowson. Transient Elastohydrodynamic Analysis of EllipticalContacts,Prart2: Thermal and Newtonian Lubricant Solution[J]. Proceedings of theInstitution of Mechanical Engineers, Part J, Journal of Engineering Tribology,2005,219:187-200.
[81] A.Campos, A.Sottomayor, J.Seabra. Non-newtonian thermal analysis of an EHD contactlubricated with MIL-L-23699oil[J]. Tribology International,2006,39:1732-1744.
[82] H.M.Chu, W.L.Li, M.D. Chen. Elastohydrodynamic lubrication of circular contacts at puresqueeze motion with non-Newtonian lubricants[J] Tribology International,2006,39:897-905.
[83] Liu YC, Wang Q.J., Wang WZ, Hu YZ, Zhu D. Effects of Differential Scheme and MeshDensity on EHL Film Thickness in Point Contacts[J]. ASME Journal of Tribology,2006,128(3):641-653.
[84] YC Liu, Q.J.Wang, S.Bair, P.Vergne. A Quantitative Solution for the Full Shear-ThinningEHL Point Contact Problem Including Traction[J] Tribology Letter,2007,28:171-181.
[85]张建军，杨沛然.时变热弹流润滑点接触接触区内表面凹陷移动现象研究[J].自然科学进展,2007,17(7):930-935.
[86] YC Liu, Q.J.Wang, I.Kruka, M.Hartl, S.Bair. The Shear-Thinning Elastohydrodynamic FilmThickness of a Two-Component Mixture[J] ASME,Journal of Tribology,2008,130:021502-1-7.
[87] M.Qiu, J.Lu, Y.Yin. Numerical analysis of non-Newtonian TEHL line contact problem basedon real-coded genetic algorithm[J] Tribology International,2009,42:1052-1060.
[88]邓磊，于玫，黄平，等.脂润滑轮毂轴承弹流润滑数值分析[J]润滑与密封,2009,34(10):21-25.
[89] M.Mongkol, W. Khanittha, E.K.Francis. Transient elastohydrodynamic lubrication inartificail knee joint with non-Newtionian fluids[J]. Tribology International,2010,43:1017-1026.
[90]张林慧，郭峰，栗心明.滚动条件下弹流接触区中心封油排出过程的数值模拟[J].润滑与密封,2010,35(10):33-38.
[91]何俊洁，马希直.粗糙表面等温瞬态点接触弹流润滑问题直接迭代解法比较[J].润滑与密封,2011,36(2):53-56.
[92] D.Zhu, JX Wang, N. Ren, Q.J,Wang. Mixed Elastohydrodynamic Lubrication in Finite RollerContacts Involving Realistic Geometry and Surface Roughness[J] ASME,Journal ofTribology,2012,134:011504-1-10.
[93] L.M.Chu, J.R. Lin, W.L. Li, J.M. Lu. Model for Line-Contact EHL Problems—Consideration of Effects of Navier-Slip and Lubricant Rheology[J] ASME,Journal ofTribology,2012,134:031502-1-8.
[94] P.L.Wong, X.M.Li, F.Guo. Evidence of lubricant slip on steel surface in EHL contact[J].Tribology International,2013,61:116-119.
[95] M.Kaneta, F.Guo, J.Wang, I.Krupka, M.Hartl. Pressure Increase in Elliptical ImpactElastohydrodynamic Lubrication Contacts with Longitudinal Asperities[J]. ASME, Journal ofTribology,2013,135:011503-1-6.
[96] W.Habchi, S.Bair. Quantitative Compressibility Effects in Thermal ElastohydrodynamicCircular Contacts[J]. ASME, Journal of Tribology,2013,135:011502-1-10.
[97] Johnson K.L. Contacts Mechanic[M]. Cambridge University Press,1995
[98] Gohar R, Cameron A. The Mapping of Elastohydrodynamic Comntacts[J]. ASLE Trans.,1967,10:215-255.
[99] Bahadoran H, Gohar R. End closure in elastohydrodynamic line contact[J]. Journal ofMechanical Engineering Science,1974,16:276-278.
[100] Hamrock B.J.,Dowson D. Isothermal elastohydrodyanamic lubrication of point contacts,part3:fully flooded results[J]. Journal of lubrication technology,1977,99:264-276.
[101] Mostofi A, Gohar R. Elastohydrodynamic lubrication of finite line contacts[J]. ASME Journalof Tribology,1983,105(3):598-604.
[102] S.Kuroda, K.Arai. Elastohydrodynamic lubrication between two rollers(finite widthanalysis)[J]. Bulletin of JSME,185,28:1367-72.
[103]陈晓阳，张直明，马家驹.有限长线接触弹流润滑研究的现状与展望[J].摩擦学学报，1997,17(3):281-288.
[104]刘双表.滚子摩擦副润滑分析中的几个问题[D].浙江大学硕士学位论文,1994.
[105] H.P.Evans, R.W.Snidle. Film thinning factor rollers of finite width under elastohydrodynamicconditions[J]. Wear,1994,175:17-23.
[106] S.Cretu, N.Mitu,I.Bercea. A dynamic analysis of tapered roller bearing under fully floodedconditions, part2:results[J]. Wear,1995,188:11-18.
[107] Barragan de Ling F DM, Evans H P, Snidle R W. Thrust cones lubrication.Part1Elatohydrodyanamic analysis of conical rims[J]. Proceedings of the Institution of MechanicalEngineers, Part J, Journal of Engineering Tribology,1996,210(2):85-96.
[108] Chen XY, Zhou SQ, Ma JJ. Oil film thickness and shape in Lundberg's profile rollercontacts[J]. Tribology Series,1997,32:415-422.
[109] T.J.Park, K.W.Kim. Elastohydrodynamic lubrication of a finite line contact[J]. Wear,1998,223:102-109.
[110]徐文，马家驹，陈晓阳.滚子摩擦弹流润滑特性及其应用I：有限长直母线滚子的弹流数值解[J].摩擦学学报,1998,18(1):39-44.
[111]马家驹，陈晓阳，刘双表.滚子摩擦副弹流的闭合效应[J].中国机械工程,1999,10(1):71-73.
[112] Chen XY, Shen XJ, Xu W, Ma JJ. Elastodydrodyanmic lubrication of logarithmic profileroller contacts[J]. Chinese Journal of Mechanical Engineering,2001,14(4):347-352.
[113] Chen XY, Shen XJ, Xu W, Ma JJ. Elastohydrodynamic lubrication studies on effects ofcrowning value in roller bearings[J]. Journal of Shanghai University,2001,5(1):76-81.
[114]刘晓玲，杨沛然.有限长滚子线接触热弹流润滑分析[J].摩擦学学报,2002,22(4):295-299.
[115] XL Liu, PR Yang. Analysis of the thermal elastohydrodyanamic lubrication of a finite linecontact[J]. Tribology International,2002,35:137-144.
[116] Arthur F, Jeam F, A.Bloutin. Multilevel Solution of the Elastohydrodynamic Contact for theWater Lubricated Silicon Carbide3D Line Contact[J]. Tribology Transactions,2002,45:110-116.
[117] M Kushwaha, H Rahnejat. Transient elastohydrodynamic lubrication of finite lineconjunction of cam to follower concentrated contact[J]. Journal of Physics D: AppliedPhysics,2002,35:2872-2890.
[118]杨萍，杨沛然，刘晓玲.圆锥滚子的等温弹流润滑数值分析[J].摩擦学学报,2005,25(5):456-460.
[119]孙浩然，陈晓阳，杨沛然.非牛顿重载滚滑工况有限长线接触热弹流研究[J].摩擦学学报,2005,25(2):154-158.
[120] P Yang, PR Yang. Analysis on the thermal elastohydrodynamic lubrication of tapered rollersin opposite orientation[J]. Tribology International,2007,40:1627-1637.
[121]吴文蕾，沈雪瑾，陈晓阳，李科委.多重网格计算有限长线接触热弹流问题初值对求解过程的影响[J].摩擦学学报,2008,28(2):178-183.
[122] XL Liu, PR Yang. Numerical analysis of the oil-supply condition in isothermalelastohydrodynamic lubrication of finite line contacts[J]. The4thWorld Tribology Congress,2009,C1-231,Kyoto,Japan.
[123]华同曙，陈晓阳，丁建宁.摆动工况下有限长线接触弹流的实验研究[J].摩擦学学报,2010,30(6):543-547.
[124]孙浩洋.超大椭圆比工况点接触Dowson膜厚公式的适用性研究[M].全国青年摩擦学与表面工程学术会议论文集,2011.
[125]杨萍，杨沛然.圆锥滚子弹流润滑的热效应分析[J].润滑与密封,2011,36(12):1-6.
[126]陈芳华，汪久银，张根源.对数修形圆锥滚子的弹流润滑分析[J].机械工程学报,2011,47(19):143-148.
[127] LC Zhao, HW Wang, CF Xiao. Influence of Different Viscosity Lubricant to Finite LineContacts on Elastohydrodynamic Lubrication (EHL) under Oscillating[J]. AdvancedMaterials Research,2012,538:1939-1944.
[128]杨萍，刘晓玲，杨沛然.考虑力矩平衡的圆锥滚子润滑性能分析[J].农业机械学报,2012,43(6):220-225.
[129]杨萍，刘晓玲，杨沛然.载荷偏置对圆锥滚子润滑性能的影响[J].摩擦学学报,2012,32(3):279285.
[130] A.Mihailidis, K.Agouridas, K.Panagiontidis. Non-Newtonian Starved Thermal-Elastohydrodynamic Lubrication of Finite Line Contacts[J]. Tribology Transactions,2013,56:88-100.
[131] P.Yang, S.Qu, M.Kaneta, H.Nishikawa. Formation of Steady Dimples in point TEHLContacts[J]. ASME Journal of Tribology,2001,123:42-49.
[132] Gohar R., Cameron A. Optical measurement of oil film thickness under elastohydrodynamiclubrication [J]. Nature,1963,200,4905.
[133] Ranger A.P, Ettles C.M.M., Cameron A. The solution of the point contactealstohydrodynamic problem[J]. Proceedings of the Royal Society London,Ser.A,V.346,1975.
[134] D.G.Wymer, A.Cameron. Elastohydrodynamic lubrication of a line contact[J]. Proceedings ofthe Institution of Mechanical Engineers,1974,188(19):221-238.
[135] H.A.Spikes, G,Gao. Properties of Ultra-Thin Lubrication using wedged spacer layer opticalinterferometery[J]. Proceedings of the15thLeeds-Lyon Symposium on Tribology,1987,275-279.
[136] G.J.Johnston, R.Wayte H.A.Spikes. The Measurement and Study of Very Thin LubricantFilms in Concentrated Contacts[J]. STLE Tribology Transactions,1991,34:187-194.
[137]雒建斌.薄膜润滑实验技术和特性研究[D].清华大学博士学位论文，1994.
[138] XY Chen, SQ Zhou, JJ Ma. Oil film thickness and shape in Lundberg's profile rollercontacts[J]. Tribology Series,1997,32:415-422.
[139] Y.Yang, S.Danyluk, M.Hoeprich. On the Measurement of Skew of Tapered Roller Bearing[J].Tribology Letter,1999,6:221-223.
[140] M.Hartl, I.Krupka, M.Liska. Elastohydrodynamic Film Thickness Mapping by ComputerDifferential Colorimetry[J]. STLE Tribology Transactions,1999,42:361-368.
[141] F.Guo, P.L.Wong. A Wide Range Measuring System for Thin Lubricating Film:From Nano toMicro Thickness[J]. Tribology Letter,2004,17(3):521-531.
[142]李霞，郭峰，杨淑燕.润滑薄油膜承载力的测量[J].摩擦学学报,2012,32(2):139-143.
[143] Mceween E. The effect of variation of viscosity with pressure on the load carring capacity ofoil film between gear teeth[J]. Journal Institute of Petroleum,1952,38:655-665.
[144] Adkins R.W., Radzimovsky E.I. Lubrication Phenomena in Spur Gear[J]. Trans. ASMEJournal Basic Eng,1965,87:653-656.
[145] Wang K.L., Cheng H.S., A Numerical Solution to the Dynamic load, Film Thickness andSurface Temperature in Spur Gear[J]. Trans. ASME, Journal of Mechanical Design,1981,103:177-195.
[146]史士杰，李景贤，吴鹿鸣.低速重载齿轮润滑状态的研究[J].西南交通大学学报，1987,1:87-97.
[147] V.Simon. Thermo-EHD analysis of lubrication of helical gears[J]. ASME, Journal ofMechanisms,Transmissions,and Automation in Design,1988,110:330-336.
[148] H.H.Zhang, D.Y.Hua. Transient EHL of Involute Spur Gear[J]. Nagoya:Proc.on Tribology,1990:1641-1646.
[149] D.Zhu, H.S.Cheng. A Comprehensive Analysis for Contact Geometry Kinematics LubricationPerformance Bulk and Flash Temperatures in Helical Gear[J] Tribology Series,1991,18:383-389.
[150]于同辉，陈谌闻.斜齿轮接触线上载荷分布的弹流润滑解[J].机械传动,1994,18(1):5-8.
[151]莫云辉，吴益敏，巢桐.斜齿圆柱齿轮的弹流润滑模型及油膜厚度研究[J].润滑与密封,1995,15:55-58.
[152]李威，常山，唐群过，陈谌闻.齿廓修形斜齿轮弹性流体动力润滑的热分析[J].哈尔滨工业大学学报,1997,29(1):44-47.
[153]卢立新，蔡莹，张和豪.渐开线直齿圆柱齿轮传动瞬态弹流润滑研究[J].润滑与密封,1999,5:5-10.
[154] S.Haizuka, C.Naruse. Study of Influence of Lubricating Oil and Tooth Height on FrictionCharacteristics of Helical Gears[J]. Tribology Transactions,1999,42(3):633-639.
[155]章易程，梅雪松，陶涛，邓文和，李蔚.直齿轮啮合弹性流体动力润滑非稳态效应的研究[J].机械工程学报,2000,36(1):32-35.
[156]汪久根.时变性对圆柱齿轮弹流润滑的影响[J].机械设计与研究,2003,19(2):30-31.
[157]王优强，李鸿琦，佟景伟.齿轮啮入冲击的弹流润滑数值分析[J].润滑与密封,2003,5:10-11.
[158] YQ Wang, HQ Li, JW Tong, PR Yang. Transient thermoelastohydrodynamic lubricationanalysis of an involute spur gear[J]. Tribology International,2004,37:773-782.
[159]王优强，杨沛然，佟景伟，李鸿琦.渐开线直齿圆柱齿轮非稳态热弹流润滑分析[J].机械工程学报,2004,40(9):10-15.
[160]衣雪娟，王优强.渐开线直齿圆柱齿轮等温时变非牛顿弹流润滑分析[J].润滑与密封,2004,3(5):54-56.
[161]王优强，黄丙习，佟景伟.渐开线齿轮润滑设计的多重网格数值模拟技术[J].润滑与密封,2004,6(11):12-21.
[162]刘群，高创宽.齿轮部分膜点接触热弹流润滑问题的逆解[J].太原理工大学学报,2004,35(5):580-583.
[163]卢立新，蔡莹.直齿轮传动非牛顿流体瞬态弹流润滑研究[J].润滑与密封,2005,6(11):36-41.
[164]聂国权，王海花.斜齿轮传动弹流膜厚计算及主要参数影响分析[J].机械传动,2005,16:16-21.
[165]曲庆文，钟振远，刘原勇，宋润州.齿轮啮合沿齿面油膜厚度的分布[J].润滑与密封,2005,6(11):39-41.
[166]杨萍，杨沛然.斜齿圆柱齿轮的热弹流润滑理论[J].机械工程学报,2006,42(10):43-48.
[167] L Xu, C Yang. Elatohydrodynamic lubrication calculation and measure for crossed helicalgears[J]. Proceedings of the Institution of Mechanical Engineers, Part J, Journal ofEngineering Tribology,2006,220:499-505.
[168]周长江，唐进元，钟志华，吴长德.齿轮传动齿面摩擦因数计算方法的研究[J].润滑与密封,2006,10(10):185-191.
[169]冯桂萍，高创宽.粗糙齿面啮合的热弹流润滑分析[J].太原理工大学学报,2006,1:13-15.
[170]崔利杰，龚小平，仝崇楼.某型直升机行星齿轮机构弹流润滑研究[J].润滑与密封,2007,32(6):118-120.
[171]王优强，衣雪娟，杨沛然.渐开线直齿轮瞬态微观热弹流润滑分析[J].机械工程学报,2007,43(11):142-148.
[172] V.Simon. EHD Lubrication of Different Types of Gears[J]. Technical Sessions-Proceedingsof CIST2008&ITS-IFToMM, Beijing,China,2008,46-47.
[173] R.I.R.Hamzah, K.R.A.Balushi, D.Mba. bservations of Acoustic Emission Under Conditionsof Varying Specific Film Thickness for Meshing Spur and Helical Gears[J]. ASME Journal ofTribology,2008,130:021506-1-12.
[174]黄立，胡元中，王文中.斜齿轮非稳态等温弹流润滑数值分析[J].润滑与密封,2009,34(7):23-27.
[175] V.Simon. Influence of Machine Tool Setting Parameters on EHD Lubrication in HypoidGears[J]. Mechanism and Machine Theory,2009,44:923-937.
[176] C.Gill-Jeong. Analysis of the nonlinear behavior of gear pairs considering hydrodynamiclubrication and sliding friction[J]. Journal of Mechanical Science and Technology,2009,23:2125-2137.
[177] S.Li, A.Kahraman. A Transient Mixed Elastohydrodynamic Lubrication Model for Spur GearPairs[J]. ASME Journal of Tribology,2010,132:011501-1-9.
[178] J.Farley, L.C.Wrobel, K.Mao. Performance evaluation of multilayer thin film coating undermixed rolling-sliding dry contact conditions[J]. Wear,2010,268:269-276.
[179]陈立锋，吴晓玲，秦大同.基于时变模型的齿轮啮合过程润滑状态研究[J].润滑与密封,2010,35(2):44-55.
[180]王文中，操鸿，胡纪滨.渐开线斜齿轮非稳态弹流润滑数值模拟研究[J].摩擦学学报,2011,31(6):604-609.
[181] HJ Liu, K Mao, CC Zhu, XX Xu, MY Liu. Parametric studies of spur gear lubricationperformance considering dynamic loads[J]. Proceedings of the Institution of MechanicalEngineers, Part J, Journal of Engineering Tribology,2012,226(9):731-737.
[182] HJ Liu, K Mao, CC Zhu, XY Xu. Mixed Lubricated Line Contact Analysis for Spur Gearsusing a Deterministic Model[J]. ASME Journal of Tribology,2012,134:021501-1-7.
[183] HJ Liu, M Ken, CC Zhu, SY Chen, XY Xu, MY Liu. Spur gear lubrication analysis withdynamic loads[J]. Tribology Transactions,2013,56(1):41-48.
[184]苑士华，董辉立，李雪原.基于MEPE和EHL理论的渐开线斜齿轮啮合特性分析[J].摩擦学学报,2012,32(3):286-290.
[185] L Han, DW Zhang, FJ Wang. Predicting Film Parameter and Friction Coefficient for HelicalGears Considering Surface Roughness and Load Variation[J] Tribology Transactions,2013,56:49-57.
[186]杨萍.圆锥滚子的热弹性流体动力润滑分析[J].青岛理工大学硕士学位论文,2005.
[187] C.J.A.Roelands. Correlation Aspects of Viscosity-Temperature-Pressure Relationship ofLubricating Oils[D]. PHD Thesis,Delft,the Netherlands,Delft:University of Technoloy,1966.
[188] T. Ree, H.Eyring. Theory of NonNewtonian Flow. I. Solid Plastic System[J]. Journal ofApplied Physics,1955,26(7):793-800.
[189] Moes H. Discussion on a paper by D.Dowson[J]. Proc.Inst.Mech.Eng.1965,180.
[190] C.H.Venner, A.A.Lubrecht. Multilevel Methods in Lubrication[M]. Tribology Series,37,2000.
[191]温诗铸，杨沛然.弹性流体动力润滑[M].清华大学出版社，1992.
[192]黄靖龙，繆协兴，罗善明，陈立峰.齿轮压力角对润滑油膜厚度的影响[J].润滑与密封,2006,177(5):25-26.
[193]杨沛然，温诗铸.非牛顿流体微观热弹流润滑理论[J].机械工程学报,1994,30(1):69-74.
[194] Sadeghi F, Sui PC. Thermal elastohydrodynamic lubrication of rough surface[J]. ASMEJournal of Tribology,1990,112(2):341-346.
[2] P.M. Ku. Gear failure mode. ASLE vOL19,1977,243-249.
[3] O. Reynolds. On the theory of lubrication and its application to Mr.Beauchamp Tower’sexperiments, including an experiment determination of the viscosity of olve oil,Phil.Trans.Roy.Soc.,A,V.177,1866.
[4] Dowson D, Higginson G.R. A numerical solution to the elastohydrodynamic problem[J].Journal of Mechanical Engineering Science,V.1,N.1,1959..
[5] Hamrock B.J., Dowson D. Isothermal elastohydrodynamic lubrication of point contacts, Part1-Theoretical formulation[J], Journal of Lubrication Technology, Trans.ASME, V.98, N.2,1976.
[6] Martin H.M. The lubrication of gear teeth. Engineering, V.102,1916.
[7] Blok H. Fundamental mechanical aspects of thin film lubrication. Am.N.Y.Acad.Sci. V.53,1950.
[8] Herrebrugh K. Solving the incompressible and isothermal problem in elastohydrodynamiclubrication through an integral equation[J]. Journal of Lubrication Technology, Trans.ASME,V90,N.1,1968.
[9] Archard J.F., Kirk M.T. Lubrication at point contacts. Proc. Roy. Soc. London, Series A,V.261,1961.
[10] Evans H.P., Snidle R.W. The isothermal elastohydrodynamic lubrication of spheres[J].Journal of Lubrication Technology, Trans.ASME,V.103,N.4,1981.
[11] Rohde S.M., Oh K.P. A unified treatment of thick and thin film using higher order elementmethods[J]. Proc.Roy..Soc.London,Series A,V.343,1975.
[12]杨沛然,温诗铸.用残量法求解弹流问题完全数值解[D].第一届清华大学摩擦学会议论文,1986.
[13] Houpert L.G, Hamrock.B.J. Fast approach for calculating film thickness and pressures inelastohydrodynamic lubricated contacts at high loads. NASA Technical Memorandum87032,1985.
[14]艾晓岚.线接触非稳态弹流润滑的完全数值解及其应用研究[D].清华大学硕士学位论文,1986.
[15] Yang Peiran, Wenshizhu. A forward iterative numerical method for steady stateelastohydrodynamically lubricated line contacts[J]. Tribology International, V.23,N.1,1990.
[16]温诗铸，黄平.摩擦学原理（第三版）[M].清华大学出版社，2008.9
[17] A.Lubrecht, W.E.Ten Napel and R.Bosma. Multigrid, an Alternative Method for CalculatingFilm Thickness and Pressure Profiles on Elastohydrodynamically Lubricated LineContacts[J]. ASME Journal of Tribology.1986,108(4):551-556.
[18] A.Brandt, A.A.Lubrecht. Multilevel Matrix Multiplication and Fast Solution of IntegralEquations[J]. Journal of Computational Physics,1990,90:348-370.
[19] C.H.Venner,, W.E ten Napel. Numerical calculations of the pressure spike inelastohydrodynamic lubrication. Lubrication Science,19902(4):321-335.
[20] C.H Venner, W.E ten Napel, R. Bosma. Advanced Multilevel Solution of the EHL LineContact Problem[J]. Journal of Tribology, Transaction of the ASME,1990,112(3):426-432.
[21] Xiaolan Ai. Numerical analyses of elastohydrodyanmically lubricated line and point contactswith rough surface by using semi-system and multigrid methods[D]. PHD Thesis,Northwestern University, Evanston, Illinois,1993.
[22] K.H. Kim, F.Sadeghi. Three-Dimensional Temperature Distribution in EHD Lubrication Part1-Circular Contact[J]. Journal of Tribology, Transaction of the ASME,1992,114(1):32-41.
[23]郭峰，杨沛然，常秋英.等温线接触弹流润滑求解的多重网格技术[J].青岛建筑工程学院学报，1998,3:51-58.
[24] Ju Y, Farris T N. Spectral analysis for two-dimensional contact problems[J]. ASME Journalof Tribology,1996,118:320-328.
[25] Nogi takashi, Kato takahisa. Influence of a hard surface layer on the limit of elasticcontact-Part1: Analysis using a real surface model[J]. Journal of Tribology, Transactions ofthe ASME,1997,119(3):493-500.
[26] Ai XL, Sawamiphakdi K. Solving Elastic Contact Between Rough Surface as anUnconstrained Strain Energy Minimization by Using CGM and FFT Techniques[J]. ASMEJournal of Tribology,1999,121:639-647.
[27]李震，桂长林.线接触弹流问题弹性变形方程的数字信号解法[J].机械工程学报，1999,35(4):29-33.
[28] I.A. Polosky, L.M. Keer. Fast and accurate method for numerical analysis of elastic layeredcontacts[J]. Journal of Tribology, Transactions of the ASME,2000,122(1):30-35.
[29] Liu SB, Wang Q, Liu G. A versatile method of discrete convolution and FFT(DC-FFT) forcontact analysis[J]. Wear,2000,243(1-2):101-110.
[30]王文中，王慧，胡元中.润滑接触中弹性变形的快速数值计算[J].摩擦学学报，2002,22（5）：390-394.
[31]徐华，朱均.粗糙表面点接触弹流润滑的快速解法研究[J].哈尔滨工业大学学报，2006,38:354-357.
[32]杨沛然.流体润滑数值分析[M].国防工业出版社，1998.10.
[33] H.S. Cheng. A refined solution to the thermal elastohydrodynamic lubrication of rolling andsliding cylinders[J]. ASLE Transactions,1965,8(2):397-410.
[34] Vichard J.P. Transient effects of the lubrication of hertzian contact[J]. J.Mech.Engnr. Sci.,1971,13(3):173-189.
[35]侯克平，温诗铸.重载点接触热弹流问题的逆解迭代法[M].第四届全国摩擦学学术会议论文集，清华大学出版社，1987.
[36] T.F.Conry, S.Wang, C.Cusano. A Reynolds-Eyring Equation for ElastohydrodynamicLubrication Line Contacts[J]. Journal of Tribology, Transactions of the ASME,1987,109(10):648-654.
[37]杨沛然.非稳态热弹性流体动力润滑研究[D].清华大学博士学位论文，1989.
[38] P.Yang, S.Wen. A Generalized Reynolds Equation for Non-Newtonian ThermalElastohydrodyanamic Lubrication[J]. ASME Journal of Tribology,1990,112:631-636.
[39] S.Wang, C.Cusano, T.F.Conry. Thermal Analysis of Elastohydrodynamics Lubrication ofLine Contacts Using the Ree-Eyring Fluid Model[J]. ASME Journal of Tribology,1991,113:232-244.
[40] P.C.Sui, F.Sadeghi. Non-Newtonian Thermal Elastodrodynamic Lubrication[J]. ASMEJournal of Tribology,1991,113:390-397.
[41] C.H.Venner. Multilevel solution of the EHL line and point contact problems[D].PHD Thesis,Enschede: University of Twente,1991.
[42] Chang L, Farnum C. A Thermal model for elastodrodynamic lubrication of rough surface[J].Tribology Transaction,1992,35(2):281-286.
[43] H.S.Hsiao, B.J.Hamrock. A Complete Solution for Thermal Elastohydrodynamic Lubricationof Line Contacts Using Circular Non-Newtonian Fluid Model[J]. ASME Journal of Tribology,1992,114:540-552.
[44] R.T.Lee, C.H.Hsu. A Fast Method for the Analysis of Thermal-ElastohydrodynamicLubrication of Rolling/Sliding Line Contacts[J]. Wear,1993,166:107-117.
[45] Ren N, Lee S. Contact simulation of three-dimensional rough surfaces using moving gridmethod[J]. ASME Journal of Tribology,1993,115:597-601.
[46] Ai XL, H.S.Cheng. Atransient EHL Analysis for Line Contacts with the MeasuredSurface-Roughness Using Multigrid Technique[J]. ASME Journal of Tribology,1993,115:549-558.
[47] C.H.Venner, A.A.Lubrecht. Transient Anaysis of Surface Features in an EHL Line Contact inthe Case of Sliding[J]. ASME Journal of Tribology,1994,116:186-193.
[48] J.Liu. Thermal Non-Newtonian Elastohydrodynamic Lubrication of Point Contac[D]. PHDThesis, The University of Leeds,Leeds,UK,1994.
[49] Ai XL, H.S.Cheng. The Influence of Moving Dent on Point EHL Contacts[J]. STLETribology, Transactions,1994,37:323-335.
[50] Tian XF, Kennedy FE. Maximum and average flash temperature in sliding contacts[J]. ASMEJournal of Tribology,1994,116(1):167-174.
[51] R.T.Lee, C.H.Hsu, W.F.Kuo. Multilevel solution for thermal elastohydrodynamic lubricationof rolling/sliding circular contacts[J]. Tribology International,1995,28(8):541-552.
[52] Jiang X, Wong PL, Zhang Z. Thermal Non-Newtonian EHL analysis of rib-roller and contactin tapered roller bearings[J]. Transaction of the ASME, Journal of Tribology,1995,117:646-654.
[53] H.P. Evans, R.W.Snidle. Analysis of micro-elastohydrodynamic lubrication for engineeringcontacts[J]. Tribology International,1996,29(8):659-667.
[54] R.C.Bhattacharjee, N.C.Das. Power law fluid model incorporated into elastohydrodynamiclubrication theory[J]. Tribology International,1996,29(5):405-413.
[55] P.Yang, J. Shen. On the Theory of Time-Dependent Micro-TEHL for a Non-NewtonianLubrication in Line Contacts[J]. Lubrication Science,1996,8:297-312.
[56] Ai XL, H.S.Cheng. The effects of Surface Texture on EHL Point Contacts[J]. ASME Journalof Tribology,1996,118:59-65.
[57] D.Zhu, XL. Ai. Point Contact EHL Based on Optically Measured Three-Dimensional RoughSurface[J]. ASME Journal of Tribology,1997,119:375-384.
[58]梅雪松，陶涛.载荷对凹陷表面的动态微弹流润滑特性的影响[J].机械工程学报，1997,33:1-6.
[59] M.T.Ma. Effects of the Non-Newtonian Behavior of Lubricants on the Temperature, Traction,and Filme Thickness in an Elliptical EHD Contact Under Heavy Loads[J]. ASME Journal ofTribology,1998,120:685-694.
[60] F.Chevalier, A.A.Lubrecht, P.M.E.Cann, F.Colin, G.Dalmaz. Film Thickness in Starved EHLPoint Cotacts[J], ASME Journal of Tribology,1998,120:126-133.
[61]郭峰.椭圆接触微观热弹性流体动力润滑求解的多重网格算法研究[D].青岛建筑工程学院硕士学位论文，1998.
[62] Qiu L., Cheng H.S. Temperature rise simulation of three-dimensional rough surface in mixedlubricated contact[J]. ASME Journal of Tribology,1998,120(2):310-318.
[63] Jiang XF, Hua DY, Cheng H.S., Ai XL, Lee SC. A Mixed Elastohydrodynamic LubricationModel with Asperity Contact[J]. ASME Journal of Tribology,1999,121:481-491.
[64] Luo JB, Huang P, Wen SZ. Characteristics of Fluid Lubricant Films at the Nano-Scale[J].ASME Journal of Tribology,1999,121(4):872-878.
[65]郭峰，杨沛然.磨损表面轮廓对点接触热弹流润滑的影响[J].摩擦学学报，1999,19（3）：266-270.
[66] YZ Hu, D. Zhu. A full numerical solution to the mixed lubrication in point contacts[J].Journal of Tribology,2000,122:1-9.
[67] Zhai XJ, Chang L. A transient thermal model for mixed film contacts[J]. TribologyTransaction,2000,43(3):427-434.
[68] Messe S, Lubrecht A.A. Transient elatohydrodynamic analysis of an overhead cam/tappetcontact[J]. Proceedings of the Institution of Mechanical Engineers, Part J, Journal ofEngineering Tribology,2000,214(5):415-425.
[69] H.J Kim, D Dowson, C.M.Taylor. Thermal elastohydrodynamic analysis of circularcontacts Part2:non-Newtonian model[J]. Proceedings of the Institution of MechanicalEngineers, Part J, Journal of Engineering Tribology,2001,215(4):353-362.
[70] F.Guo, P.Yang, P.L.Wong. On the thermal elastohydrodynamic lubrication in opposite slidingcircular contacts[J]. Tribology International,2001,34:443-452.
[71]王静，杨沛，兼田桢宏，西川宏志.热弹流润滑椭圆接触区内表面凹陷现象的研究[J].摩擦学学报，2001,21(6):478-481.
[72]刘晓玲，杨沛然.指数率非牛顿流体的等温线接触弹流润滑分析[J].润滑与密封,2002,1:5-7.
[73]王文中，王慧，胡元中.小膜厚比下热混合润滑的计算机模拟[J].摩擦学学报，2002,22(4):344-348.
[74] Liu SB, Wang Q. Transient Thermoelastic Stress Fields in a Half-Space[J]. ASME, Journal ofTribology,2003,125(1):33-43.
[75]王文中.混合润滑的数值模拟和试验研究[D].清华大学博士学位论文,2003年.
[76] M.Kaneta, P.Yang. Formation Mechanism of Steady Multi-Dimples in Thermal EHL PointContacts[J]. ASME, Journal of Tribology,2003,125:241-251.
[77] B.Daniens, C.H.Venner, P.M.Cann, A.A.Lubrecht. Starved Lubrication of Elliptical EHDContacts[J]. ASME Journal of Tribology,2004,126:105-111.
[78]孙浩洋，杨沛然，陈晓阳.滚滑工况弹流反常温度场的研究[J].摩擦学学报，2004,24(1):66-69.
[79] XL Liu, M.Jiang, PR. Yang, M.Kaneta. Non-Newtonian Thermal Analyses of Point EHLContacts Using the Eyring Model[J]. ASME, Journal of Tribology,2005,127:70-81.
[80] P.Yang, J.Cui, Z.M Jin, D.Dowson. Transient Elastohydrodynamic Analysis of EllipticalContacts,Prart2: Thermal and Newtonian Lubricant Solution[J]. Proceedings of theInstitution of Mechanical Engineers, Part J, Journal of Engineering Tribology,2005,219:187-200.
[81] A.Campos, A.Sottomayor, J.Seabra. Non-newtonian thermal analysis of an EHD contactlubricated with MIL-L-23699oil[J]. Tribology International,2006,39:1732-1744.
[82] H.M.Chu, W.L.Li, M.D. Chen. Elastohydrodynamic lubrication of circular contacts at puresqueeze motion with non-Newtonian lubricants[J] Tribology International,2006,39:897-905.
[83] Liu YC, Wang Q.J., Wang WZ, Hu YZ, Zhu D. Effects of Differential Scheme and MeshDensity on EHL Film Thickness in Point Contacts[J]. ASME Journal of Tribology,2006,128(3):641-653.
[84] YC Liu, Q.J.Wang, S.Bair, P.Vergne. A Quantitative Solution for the Full Shear-ThinningEHL Point Contact Problem Including Traction[J] Tribology Letter,2007,28:171-181.
[85]张建军，杨沛然.时变热弹流润滑点接触接触区内表面凹陷移动现象研究[J].自然科学进展,2007,17(7):930-935.
[86] YC Liu, Q.J.Wang, I.Kruka, M.Hartl, S.Bair. The Shear-Thinning Elastohydrodynamic FilmThickness of a Two-Component Mixture[J] ASME,Journal of Tribology,2008,130:021502-1-7.
[87] M.Qiu, J.Lu, Y.Yin. Numerical analysis of non-Newtonian TEHL line contact problem basedon real-coded genetic algorithm[J] Tribology International,2009,42:1052-1060.
[88]邓磊，于玫，黄平，等.脂润滑轮毂轴承弹流润滑数值分析[J]润滑与密封,2009,34(10):21-25.
[89] M.Mongkol, W. Khanittha, E.K.Francis. Transient elastohydrodynamic lubrication inartificail knee joint with non-Newtionian fluids[J]. Tribology International,2010,43:1017-1026.
[90]张林慧，郭峰，栗心明.滚动条件下弹流接触区中心封油排出过程的数值模拟[J].润滑与密封,2010,35(10):33-38.
[91]何俊洁，马希直.粗糙表面等温瞬态点接触弹流润滑问题直接迭代解法比较[J].润滑与密封,2011,36(2):53-56.
[92] D.Zhu, JX Wang, N. Ren, Q.J,Wang. Mixed Elastohydrodynamic Lubrication in Finite RollerContacts Involving Realistic Geometry and Surface Roughness[J] ASME,Journal ofTribology,2012,134:011504-1-10.
[93] L.M.Chu, J.R. Lin, W.L. Li, J.M. Lu. Model for Line-Contact EHL Problems—Consideration of Effects of Navier-Slip and Lubricant Rheology[J] ASME,Journal ofTribology,2012,134:031502-1-8.
[94] P.L.Wong, X.M.Li, F.Guo. Evidence of lubricant slip on steel surface in EHL contact[J].Tribology International,2013,61:116-119.
[95] M.Kaneta, F.Guo, J.Wang, I.Krupka, M.Hartl. Pressure Increase in Elliptical ImpactElastohydrodynamic Lubrication Contacts with Longitudinal Asperities[J]. ASME, Journal ofTribology,2013,135:011503-1-6.
[96] W.Habchi, S.Bair. Quantitative Compressibility Effects in Thermal ElastohydrodynamicCircular Contacts[J]. ASME, Journal of Tribology,2013,135:011502-1-10.
[97] Johnson K.L. Contacts Mechanic[M]. Cambridge University Press,1995
[98] Gohar R, Cameron A. The Mapping of Elastohydrodynamic Comntacts[J]. ASLE Trans.,1967,10:215-255.
[99] Bahadoran H, Gohar R. End closure in elastohydrodynamic line contact[J]. Journal ofMechanical Engineering Science,1974,16:276-278.
[100] Hamrock B.J.,Dowson D. Isothermal elastohydrodyanamic lubrication of point contacts,part3:fully flooded results[J]. Journal of lubrication technology,1977,99:264-276.
[101] Mostofi A, Gohar R. Elastohydrodynamic lubrication of finite line contacts[J]. ASME Journalof Tribology,1983,105(3):598-604.
[102] S.Kuroda, K.Arai. Elastohydrodynamic lubrication between two rollers(finite widthanalysis)[J]. Bulletin of JSME,185,28:1367-72.
[103]陈晓阳，张直明，马家驹.有限长线接触弹流润滑研究的现状与展望[J].摩擦学学报，1997,17(3):281-288.
[104]刘双表.滚子摩擦副润滑分析中的几个问题[D].浙江大学硕士学位论文,1994.
[105] H.P.Evans, R.W.Snidle. Film thinning factor rollers of finite width under elastohydrodynamicconditions[J]. Wear,1994,175:17-23.
[106] S.Cretu, N.Mitu,I.Bercea. A dynamic analysis of tapered roller bearing under fully floodedconditions, part2:results[J]. Wear,1995,188:11-18.
[107] Barragan de Ling F DM, Evans H P, Snidle R W. Thrust cones lubrication.Part1Elatohydrodyanamic analysis of conical rims[J]. Proceedings of the Institution of MechanicalEngineers, Part J, Journal of Engineering Tribology,1996,210(2):85-96.
[108] Chen XY, Zhou SQ, Ma JJ. Oil film thickness and shape in Lundberg's profile rollercontacts[J]. Tribology Series,1997,32:415-422.
[109] T.J.Park, K.W.Kim. Elastohydrodynamic lubrication of a finite line contact[J]. Wear,1998,223:102-109.
[110]徐文，马家驹，陈晓阳.滚子摩擦弹流润滑特性及其应用I：有限长直母线滚子的弹流数值解[J].摩擦学学报,1998,18(1):39-44.
[111]马家驹，陈晓阳，刘双表.滚子摩擦副弹流的闭合效应[J].中国机械工程,1999,10(1):71-73.
[112] Chen XY, Shen XJ, Xu W, Ma JJ. Elastodydrodyanmic lubrication of logarithmic profileroller contacts[J]. Chinese Journal of Mechanical Engineering,2001,14(4):347-352.
[113] Chen XY, Shen XJ, Xu W, Ma JJ. Elastohydrodynamic lubrication studies on effects ofcrowning value in roller bearings[J]. Journal of Shanghai University,2001,5(1):76-81.
[114]刘晓玲，杨沛然.有限长滚子线接触热弹流润滑分析[J].摩擦学学报,2002,22(4):295-299.
[115] XL Liu, PR Yang. Analysis of the thermal elastohydrodyanamic lubrication of a finite linecontact[J]. Tribology International,2002,35:137-144.
[116] Arthur F, Jeam F, A.Bloutin. Multilevel Solution of the Elastohydrodynamic Contact for theWater Lubricated Silicon Carbide3D Line Contact[J]. Tribology Transactions,2002,45:110-116.
[117] M Kushwaha, H Rahnejat. Transient elastohydrodynamic lubrication of finite lineconjunction of cam to follower concentrated contact[J]. Journal of Physics D: AppliedPhysics,2002,35:2872-2890.
[118]杨萍，杨沛然，刘晓玲.圆锥滚子的等温弹流润滑数值分析[J].摩擦学学报,2005,25(5):456-460.
[119]孙浩然，陈晓阳，杨沛然.非牛顿重载滚滑工况有限长线接触热弹流研究[J].摩擦学学报,2005,25(2):154-158.
[120] P Yang, PR Yang. Analysis on the thermal elastohydrodynamic lubrication of tapered rollersin opposite orientation[J]. Tribology International,2007,40:1627-1637.
[121]吴文蕾，沈雪瑾，陈晓阳，李科委.多重网格计算有限长线接触热弹流问题初值对求解过程的影响[J].摩擦学学报,2008,28(2):178-183.
[122] XL Liu, PR Yang. Numerical analysis of the oil-supply condition in isothermalelastohydrodynamic lubrication of finite line contacts[J]. The4thWorld Tribology Congress,2009,C1-231,Kyoto,Japan.
[123]华同曙，陈晓阳，丁建宁.摆动工况下有限长线接触弹流的实验研究[J].摩擦学学报,2010,30(6):543-547.
[124]孙浩洋.超大椭圆比工况点接触Dowson膜厚公式的适用性研究[M].全国青年摩擦学与表面工程学术会议论文集,2011.
[125]杨萍，杨沛然.圆锥滚子弹流润滑的热效应分析[J].润滑与密封,2011,36(12):1-6.
[126]陈芳华，汪久银，张根源.对数修形圆锥滚子的弹流润滑分析[J].机械工程学报,2011,47(19):143-148.
[127] LC Zhao, HW Wang, CF Xiao. Influence of Different Viscosity Lubricant to Finite LineContacts on Elastohydrodynamic Lubrication (EHL) under Oscillating[J]. AdvancedMaterials Research,2012,538:1939-1944.
[128]杨萍，刘晓玲，杨沛然.考虑力矩平衡的圆锥滚子润滑性能分析[J].农业机械学报,2012,43(6):220-225.
[129]杨萍，刘晓玲，杨沛然.载荷偏置对圆锥滚子润滑性能的影响[J].摩擦学学报,2012,32(3):279285.
[130] A.Mihailidis, K.Agouridas, K.Panagiontidis. Non-Newtonian Starved Thermal-Elastohydrodynamic Lubrication of Finite Line Contacts[J]. Tribology Transactions,2013,56:88-100.
[131] P.Yang, S.Qu, M.Kaneta, H.Nishikawa. Formation of Steady Dimples in point TEHLContacts[J]. ASME Journal of Tribology,2001,123:42-49.
[132] Gohar R., Cameron A. Optical measurement of oil film thickness under elastohydrodynamiclubrication [J]. Nature,1963,200,4905.
[133] Ranger A.P, Ettles C.M.M., Cameron A. The solution of the point contactealstohydrodynamic problem[J]. Proceedings of the Royal Society London,Ser.A,V.346,1975.
[134] D.G.Wymer, A.Cameron. Elastohydrodynamic lubrication of a line contact[J]. Proceedings ofthe Institution of Mechanical Engineers,1974,188(19):221-238.
[135] H.A.Spikes, G,Gao. Properties of Ultra-Thin Lubrication using wedged spacer layer opticalinterferometery[J]. Proceedings of the15thLeeds-Lyon Symposium on Tribology,1987,275-279.
[136] G.J.Johnston, R.Wayte H.A.Spikes. The Measurement and Study of Very Thin LubricantFilms in Concentrated Contacts[J]. STLE Tribology Transactions,1991,34:187-194.
[137]雒建斌.薄膜润滑实验技术和特性研究[D].清华大学博士学位论文，1994.
[138] XY Chen, SQ Zhou, JJ Ma. Oil film thickness and shape in Lundberg's profile rollercontacts[J]. Tribology Series,1997,32:415-422.
[139] Y.Yang, S.Danyluk, M.Hoeprich. On the Measurement of Skew of Tapered Roller Bearing[J].Tribology Letter,1999,6:221-223.
[140] M.Hartl, I.Krupka, M.Liska. Elastohydrodynamic Film Thickness Mapping by ComputerDifferential Colorimetry[J]. STLE Tribology Transactions,1999,42:361-368.
[141] F.Guo, P.L.Wong. A Wide Range Measuring System for Thin Lubricating Film:From Nano toMicro Thickness[J]. Tribology Letter,2004,17(3):521-531.
[142]李霞，郭峰，杨淑燕.润滑薄油膜承载力的测量[J].摩擦学学报,2012,32(2):139-143.
[143] Mceween E. The effect of variation of viscosity with pressure on the load carring capacity ofoil film between gear teeth[J]. Journal Institute of Petroleum,1952,38:655-665.
[144] Adkins R.W., Radzimovsky E.I. Lubrication Phenomena in Spur Gear[J]. Trans. ASMEJournal Basic Eng,1965,87:653-656.
[145] Wang K.L., Cheng H.S., A Numerical Solution to the Dynamic load, Film Thickness andSurface Temperature in Spur Gear[J]. Trans. ASME, Journal of Mechanical Design,1981,103:177-195.
[146]史士杰，李景贤，吴鹿鸣.低速重载齿轮润滑状态的研究[J].西南交通大学学报，1987,1:87-97.
[147] V.Simon. Thermo-EHD analysis of lubrication of helical gears[J]. ASME, Journal ofMechanisms,Transmissions,and Automation in Design,1988,110:330-336.
[148] H.H.Zhang, D.Y.Hua. Transient EHL of Involute Spur Gear[J]. Nagoya:Proc.on Tribology,1990:1641-1646.
[149] D.Zhu, H.S.Cheng. A Comprehensive Analysis for Contact Geometry Kinematics LubricationPerformance Bulk and Flash Temperatures in Helical Gear[J] Tribology Series,1991,18:383-389.
[150]于同辉，陈谌闻.斜齿轮接触线上载荷分布的弹流润滑解[J].机械传动,1994,18(1):5-8.
[151]莫云辉，吴益敏，巢桐.斜齿圆柱齿轮的弹流润滑模型及油膜厚度研究[J].润滑与密封,1995,15:55-58.
[152]李威，常山，唐群过，陈谌闻.齿廓修形斜齿轮弹性流体动力润滑的热分析[J].哈尔滨工业大学学报,1997,29(1):44-47.
[153]卢立新，蔡莹，张和豪.渐开线直齿圆柱齿轮传动瞬态弹流润滑研究[J].润滑与密封,1999,5:5-10.
[154] S.Haizuka, C.Naruse. Study of Influence of Lubricating Oil and Tooth Height on FrictionCharacteristics of Helical Gears[J]. Tribology Transactions,1999,42(3):633-639.
[155]章易程，梅雪松，陶涛，邓文和，李蔚.直齿轮啮合弹性流体动力润滑非稳态效应的研究[J].机械工程学报,2000,36(1):32-35.
[156]汪久根.时变性对圆柱齿轮弹流润滑的影响[J].机械设计与研究,2003,19(2):30-31.
[157]王优强，李鸿琦，佟景伟.齿轮啮入冲击的弹流润滑数值分析[J].润滑与密封,2003,5:10-11.
[158] YQ Wang, HQ Li, JW Tong, PR Yang. Transient thermoelastohydrodynamic lubricationanalysis of an involute spur gear[J]. Tribology International,2004,37:773-782.
[159]王优强，杨沛然，佟景伟，李鸿琦.渐开线直齿圆柱齿轮非稳态热弹流润滑分析[J].机械工程学报,2004,40(9):10-15.
[160]衣雪娟，王优强.渐开线直齿圆柱齿轮等温时变非牛顿弹流润滑分析[J].润滑与密封,2004,3(5):54-56.
[161]王优强，黄丙习，佟景伟.渐开线齿轮润滑设计的多重网格数值模拟技术[J].润滑与密封,2004,6(11):12-21.
[162]刘群，高创宽.齿轮部分膜点接触热弹流润滑问题的逆解[J].太原理工大学学报,2004,35(5):580-583.
[163]卢立新，蔡莹.直齿轮传动非牛顿流体瞬态弹流润滑研究[J].润滑与密封,2005,6(11):36-41.
[164]聂国权，王海花.斜齿轮传动弹流膜厚计算及主要参数影响分析[J].机械传动,2005,16:16-21.
[165]曲庆文，钟振远，刘原勇，宋润州.齿轮啮合沿齿面油膜厚度的分布[J].润滑与密封,2005,6(11):39-41.
[166]杨萍，杨沛然.斜齿圆柱齿轮的热弹流润滑理论[J].机械工程学报,2006,42(10):43-48.
[167] L Xu, C Yang. Elatohydrodynamic lubrication calculation and measure for crossed helicalgears[J]. Proceedings of the Institution of Mechanical Engineers, Part J, Journal ofEngineering Tribology,2006,220:499-505.
[168]周长江，唐进元，钟志华，吴长德.齿轮传动齿面摩擦因数计算方法的研究[J].润滑与密封,2006,10(10):185-191.
[169]冯桂萍，高创宽.粗糙齿面啮合的热弹流润滑分析[J].太原理工大学学报,2006,1:13-15.
[170]崔利杰，龚小平，仝崇楼.某型直升机行星齿轮机构弹流润滑研究[J].润滑与密封,2007,32(6):118-120.
[171]王优强，衣雪娟，杨沛然.渐开线直齿轮瞬态微观热弹流润滑分析[J].机械工程学报,2007,43(11):142-148.
[172] V.Simon. EHD Lubrication of Different Types of Gears[J]. Technical Sessions-Proceedingsof CIST2008&ITS-IFToMM, Beijing,China,2008,46-47.
[173] R.I.R.Hamzah, K.R.A.Balushi, D.Mba. bservations of Acoustic Emission Under Conditionsof Varying Specific Film Thickness for Meshing Spur and Helical Gears[J]. ASME Journal ofTribology,2008,130:021506-1-12.
[174]黄立，胡元中，王文中.斜齿轮非稳态等温弹流润滑数值分析[J].润滑与密封,2009,34(7):23-27.
[175] V.Simon. Influence of Machine Tool Setting Parameters on EHD Lubrication in HypoidGears[J]. Mechanism and Machine Theory,2009,44:923-937.
[176] C.Gill-Jeong. Analysis of the nonlinear behavior of gear pairs considering hydrodynamiclubrication and sliding friction[J]. Journal of Mechanical Science and Technology,2009,23:2125-2137.
[177] S.Li, A.Kahraman. A Transient Mixed Elastohydrodynamic Lubrication Model for Spur GearPairs[J]. ASME Journal of Tribology,2010,132:011501-1-9.
[178] J.Farley, L.C.Wrobel, K.Mao. Performance evaluation of multilayer thin film coating undermixed rolling-sliding dry contact conditions[J]. Wear,2010,268:269-276.
[179]陈立锋，吴晓玲，秦大同.基于时变模型的齿轮啮合过程润滑状态研究[J].润滑与密封,2010,35(2):44-55.
[180]王文中，操鸿，胡纪滨.渐开线斜齿轮非稳态弹流润滑数值模拟研究[J].摩擦学学报,2011,31(6):604-609.
[181] HJ Liu, K Mao, CC Zhu, XX Xu, MY Liu. Parametric studies of spur gear lubricationperformance considering dynamic loads[J]. Proceedings of the Institution of MechanicalEngineers, Part J, Journal of Engineering Tribology,2012,226(9):731-737.
[182] HJ Liu, K Mao, CC Zhu, XY Xu. Mixed Lubricated Line Contact Analysis for Spur Gearsusing a Deterministic Model[J]. ASME Journal of Tribology,2012,134:021501-1-7.
[183] HJ Liu, M Ken, CC Zhu, SY Chen, XY Xu, MY Liu. Spur gear lubrication analysis withdynamic loads[J]. Tribology Transactions,2013,56(1):41-48.
[184]苑士华，董辉立，李雪原.基于MEPE和EHL理论的渐开线斜齿轮啮合特性分析[J].摩擦学学报,2012,32(3):286-290.
[185] L Han, DW Zhang, FJ Wang. Predicting Film Parameter and Friction Coefficient for HelicalGears Considering Surface Roughness and Load Variation[J] Tribology Transactions,2013,56:49-57.
[186]杨萍.圆锥滚子的热弹性流体动力润滑分析[J].青岛理工大学硕士学位论文,2005.
[187] C.J.A.Roelands. Correlation Aspects of Viscosity-Temperature-Pressure Relationship ofLubricating Oils[D]. PHD Thesis,Delft,the Netherlands,Delft:University of Technoloy,1966.
[188] T. Ree, H.Eyring. Theory of NonNewtonian Flow. I. Solid Plastic System[J]. Journal ofApplied Physics,1955,26(7):793-800.
[189] Moes H. Discussion on a paper by D.Dowson[J]. Proc.Inst.Mech.Eng.1965,180.
[190] C.H.Venner, A.A.Lubrecht. Multilevel Methods in Lubrication[M]. Tribology Series,37,2000.
[191]温诗铸，杨沛然.弹性流体动力润滑[M].清华大学出版社，1992.
[192]黄靖龙，繆协兴，罗善明，陈立峰.齿轮压力角对润滑油膜厚度的影响[J].润滑与密封,2006,177(5):25-26.
[193]杨沛然，温诗铸.非牛顿流体微观热弹流润滑理论[J].机械工程学报,1994,30(1):69-74.
[194] Sadeghi F, Sui PC. Thermal elastohydrodynamic lubrication of rough surface[J]. ASMEJournal of Tribology,1990,112(2):341-346.