微观表面形貌对角接触球轴承热弹流润滑的影响
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摘要
建立角接触球轴承的热弹流润滑数学模型,通过求解考虑热效应的Reynolds方程,对润滑条件下的角接触球轴承在考虑表面粗糙度时的弹流润滑问题进行数值模拟。在缺乏实测数据的情况下,采用了涉及轴承滚道和滚球体面上的余弦粗糙波数学模型,分析考虑热效应的角接触球轴承的表面粗糙度对压力和膜厚的影响。结果表明:考虑x和y方向的粗糙度函数可以更好地模拟轴承滚道及滚球体表面的形貌特征,由此计算出的压力和油膜分布更贴近工程实际;考虑两方向的粗糙度后,压力和油膜分布与单方向粗糙度有所不同,增大粗糙度波长和减少波幅有利于减小压力,增大膜厚,改善润滑。
The mathematical model of the thermal elastohydrodynamic lubrication(TEHL) for angular contact ball bearing was established. Through solving the Reynolds equation considering thermal effect,a full numerical solution of the lubricated angular ball bearing was acquired by considering thermal effect and surface roughness. In the absence of measured data,the effect of surface roughness on thermal elastohydrodynamic lubrication of angular contact ball bearing was analyzed by adopting the rough cosine wave mathematic model involving the surface of bearing rollaway and rolling sphere. Results show that the roughness function considering x and y direction roughness can better simulate the morphology features of bearing rollaway and rolling sphere,the calculated pressure and film thickness is more closer to the engineering practice. After considering the roughness of two directions,the distribution of pressure and film thickness is different from single direction roughness. The pressure becomes smaller and film thickness becomes thicker,and the lubrication condition is improved when increasing the wavelength and decreasing the amplitude of the roughness.
The mathematical model of the thermal elastohydrodynamic lubrication(TEHL) for angular contact ball bearing was established. Through solving the Reynolds equation considering thermal effect,a full numerical solution of the lubricated angular ball bearing was acquired by considering thermal effect and surface roughness. In the absence of measured data,the effect of surface roughness on thermal elastohydrodynamic lubrication of angular contact ball bearing was analyzed by adopting the rough cosine wave mathematic model involving the surface of bearing rollaway and rolling sphere. Results show that the roughness function considering x and y direction roughness can better simulate the morphology features of bearing rollaway and rolling sphere,the calculated pressure and film thickness is more closer to the engineering practice. After considering the roughness of two directions,the distribution of pressure and film thickness is different from single direction roughness. The pressure becomes smaller and film thickness becomes thicker,and the lubrication condition is improved when increasing the wavelength and decreasing the amplitude of the roughness.
引文
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[3]姜明,高雷鸣,杨沛然.考虑纵向粗糙度的点接触微观热弹流润滑数值分析[J].润滑与密封,2003,28(4):20-21.Jiang Ming,Gao Leiming,Yang Peiran.Numerical analysis of the thermal micro-ehl problem of point contact with single longitudinal surface roughness[J].Lubrication Engineering,2003,28(4):20-21.
[4]崔金磊,杨沛然.两波动表面间的椭圆接触热弹流润滑数值分析[J].润滑与密封,2010,35(12):48-52.Cui Jinlei,Yang Peiran.Analysis on thermal EHL of elliptical contacts between two wavy surfaces[J].Lubrication Engineering,2010,35(12):48-52.
[5]任付娥,王优强.乳化液润滑轧辊轴承的微观热弹流分析[J].润滑与密封,2013,38(3):57-60.Ren Fue,Wang Youqiang.The micro thermal elastohydrodynamic lubrication analysis of emulsion-1ubricated roller bearing[J].Lubrication Engineering,2013,38(3):57-60.
[6]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:青岛建筑工程学院,1998.
[7]Yang P R,Wen S Z.A generalized Reynolds equation for nonNewtonian thermal elastohydrodynamic lubrication[J].Journal of tribology,1990,112(4):631-636.
[8]Roelands C J A.Correlational aspects of the viscosity-temperature-pressure relationship of lubricating oils[D].The Netherlands:Technische Hogeschool Delft,1966.
[9]Dowson D,Higginson G R,Archard J F,et al.Elasto-hydrodynamic lubrication[M].Oxford:Pergamon Press,1977.