机械结合面微观接触弹流润滑数值分析

王立华; 杨竹; 陆梓; 王鹏程

doi:10.13433/j.cnki.1003-8728.2016.1010

机械结合面微观接触弹流润滑数值分析

doi: 10.13433/j.cnki.1003-8728.2016.1010

1.
昆明理工大学机电工程学院, 昆明 650500

基金项目:

国家自然科学基金项目（51165013）资助

详细信息

作者简介:
王立华(1974-),教授,博士,研究方向为机械动力学及应用,kmwanglihua@163.com

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- 被引次数: 0
出版历程
- 收稿日期: 2014-12-23
- 刊出日期: 2016-10-05

Numerical Analysis on Micro-elastohydro Dynamic Lubrication of Machine Joint Surfaces

1.
Faculty of Mechanical and Electrical Engineering, Kunming University of Science and Technology, Kunming 650500, China

摘要

摘要: 结合传统点接触润滑问题和分形接触理论，将与表面形貌相关的微观参数引入部分膜弹流润滑问题，建立了机械结合面在润滑状态下的微观弹流分形点接触分析模型。对该模型进行无量纲化处理后，将其中的Reynolds方程、膜厚方程和载荷平衡方程分别采用有限差分法和二重积分的九点Simpson方法在求解域网格上进行离散，然后分别采用多重网格法和多重网格积分法计算得到润滑油膜压力和油膜厚度的三维分布。从计算结果可得，当微观接触表面具有一定粗糙度时，在出现油膜压力峰位置附近会出现油膜收缩。
- 微观弹流润滑 /
- 多重网格法 /
- 数值分析 /
- 分形理论
Abstract: Combined with the traditional point contact lubrication problem and fractal contact theory, and introduced the microscopic parameters associated with the surface morphology into the partial elastohydro-dynamic (EHL) lubrication problem, the micro elastohydro-dynamic fractal point contact analysis model is established for the machine joint surfaces on lubrication condition. By non-dimensionalizing these analysis model, the Reynolds equation, film thickness equation and load balance equation are discretized with finite difference method and nine points Simpson method of double integral in the solving domain separately. Then three-dimensional distribution of the oil film pressure and the oil film thickness are calculated using the method of multigrid method and multigrid integration method, respectively. From the calculation results, it can be seen that the oil film shrink phenomenon will appear near the oil film pressure peak when the micro contact surface has certain roughness.
- micro-elastohydrodynamic lubrication /
- multi-grid method /
- numerical analysis /
- fractal theory

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参考文献(17)

[1]	Greenwood J A, Tripp J H. The contact of two nominally flat rough surfaces[J]. Proceedings of the Institution of Mechanical Engineers, 1970,185(1):625-633
[2]	Greenwood J A, Williamson J B P. Contact of nominally flat surfaces[J]. Proceedings of the Royal Society A:Mathematical, Physical and Engineering Sciences, 1966,295(1442):300-319
[3]	陈辉,胡元中,王慧,等.粗糙表面分形特征的模拟及其表征[J].机械工程学报,2006,42(9):219-223 Chen H, Hu Y Z, Wang H, et al. Simulation and characterization of fractal rough surfaces[J]. Chinese Journal of Mechanical Engineering, 2006,42(9):219-223(in Chinese)
[4]	马飞,杜三明,张永振.摩擦表面形貌表征的研究现状与发展趋势[J].润滑与密封,2010,35(8):100-103 Ma F, Du S M, Zhang Y Z. The research status and development tendency of friction surface topography characterization[J]. Lubrication Engineering, 2010,35(8):100-103(in Chinese)
[5]	Hamrock B J, Dowson D. Isothermal elastohydrodynamic lubrication of point contacts, Part Ⅲ-fully flooded results[J]. Journal of Lubrication Technology, 1977,99(2):264-275
[6]	温诗铸,杨沛然.弹性流体动力润滑[M].北京:清华大学出版社,1992 Wen S Z, Yang P R. Elastohydrodynamic lubrication[M]. Beijing:Tsinghua University Press, 1992(in Chinese)
[7]	Lubrecht A A, Venner C H, ten Napel W E, et al. Film thickness calculations in elastohydrodynamically lubricated circular contacts, using a multigrid method[J]. Journal of Tribology, 1988,110(3):503-507
[8]	Brandt A, Lubrecht A A. Multilevel matrix multiplication and fast solution of integral equations[J]. Journal of Computational Physics, 1990,90(2):348-370
[9]	Chao-Ho H, Rong-Tsong L. Advanced multilevel solution for elastohydrodynamic lubrication circular contact problem[J]. Wear, 1994,177(2):117-127
[10]	Lai Y G, Sui P C. A Finite-volume multigrid calculation method for elastohydrodynamically lubricated point contact problems[J]. Tribology Transactions, 1999,42(1):96-105
[11]	卢洪,杨沛然.用多重网格法准确计算弹流润滑膜厚度的方法[J].润滑与密封,2010,35(4):5-9 Lu H, Yang P R. An approach for accurately calculating the EHL film thicknesses with multi-grid method[J]. Lubrication Engineering, 2010,35(4):5-9(in Chinese)
[12]	Patir N, Cheng H S. An average flow model for determining effects of three-dimensional roughness on partial hydrodynamic lubrication[J]. Journal of Lubrication Technology, 1978,100(1):12-17
[13]	刘红斌,万大平,胡德金.分形表面接触变形对部分膜润滑的影响[J].摩擦学学报,2008,28(3):244-247 Liu H B, Wan D P, Hu D J. Influence of contact deformation of the fractal surfaces on the partial film lubrication[J]. Tribology, 2008,28(3):244-247(in Chinese)
[14]	Ng S H, Higgs C F, Yoon I, et al. An analysis of mixed lubrication in chemical mechanical polishing[J]. Journal of Tribology, 2005,127(2):287-292
[15]	Roelands C J A. Correlational aspects of the viscosity-temperature-pressure relationship of lubricating oils[D]. Netherlands, Deft University of Technology, 1966
[16]	Dowson D, Higginson G R. Elastohydrodynamic lubrication[M]. Oxford:Pergamon Press, 1970
[17]	杨沛然.流体润滑数值分析[M].北京:国防工业出版社,1998 Yang P R. Numerical analysis of fluid lubrication[M]. Beijing:National Defense Industry Press, 1998(in Chinese)