考虑热弹性变形和表面粗糙度的圆柱滚子轴承热弹流润滑分析
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摘要
运用线接触热弹性流体动压润滑理论,考虑了润滑油膜温升变化引起的圆柱滚子轴承中滚子和内圈接触表面的径向热弹性变形和表面粗糙度的影响,提出了一种计入热弹性变形和粗糙度影响的圆柱滚子轴承线接触热弹性流体动压润滑分析方法。该方法通过将热弹性变形进行热力转换,得到了滚子和内圈接触表面的材料线热膨胀系数,计算修正了滚子和轴承内圈因油膜温度场变化引起的径向热弹性变形,求得了计入热弹性变形和表面粗糙度后的油膜压力、油膜厚度、油膜温升以及径向热弹性变形量等主要润滑特性,研究了载荷、卷吸速度和滑滚比的变化对最小油膜厚度、最大油膜压力和最大油膜温升的影响规律,结果表明,热弹性变形量与最小油膜厚度处在同一量级,热弹性变形和粗糙度会对润滑特性产生明显的影响。
By considering the radial thermal elastic deformation and surface roughness of contact surface between roller and inner race of cylindrical roller bearing caused by lubricant temperature rise, a numerical method for analyzing line contact thermal elastohydrodynamic lubrication of cylindrical roller bearing is proposed based on the line contact thermal elastohydrodynamic lubrication theory. According to heat transfer of thermal elastic deformation, the material line thermal expansion coefficients of contact surface between roller and inner race are obtained, the radial thermal elastic deformation caused by lubricant temperature rise is modified. The oil film pressure, the oil film thickness, the oil film temperature rise and the radial thermal deformation are calculated by considering radial thermal elastic deformation and surface roughness. The effects of different loads, entrainment speeds and slide-to-roll ratios on the minimum oil film thickness, the maximum oil film pressure and the maximum lubricant temperature rise are studied. The results show that thermal elastic deformation and minimum oil film thickness are in the same order of magnitude, thermal elastic deformation and surface roughness have profound influences on lubrication performance.
By considering the radial thermal elastic deformation and surface roughness of contact surface between roller and inner race of cylindrical roller bearing caused by lubricant temperature rise, a numerical method for analyzing line contact thermal elastohydrodynamic lubrication of cylindrical roller bearing is proposed based on the line contact thermal elastohydrodynamic lubrication theory. According to heat transfer of thermal elastic deformation, the material line thermal expansion coefficients of contact surface between roller and inner race are obtained, the radial thermal elastic deformation caused by lubricant temperature rise is modified. The oil film pressure, the oil film thickness, the oil film temperature rise and the radial thermal deformation are calculated by considering radial thermal elastic deformation and surface roughness. The effects of different loads, entrainment speeds and slide-to-roll ratios on the minimum oil film thickness, the maximum oil film pressure and the maximum lubricant temperature rise are studied. The results show that thermal elastic deformation and minimum oil film thickness are in the same order of magnitude, thermal elastic deformation and surface roughness have profound influences on lubrication performance.
引文
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[19]吕祥奎,杨文健,许国良,等.密封结构中粗糙表面特征对其气密性的影响[J].机械工程学报,2015,51(23):110-115.LüXiangkui,YANG Wenjian,XU Guoliang,et al.The influence of characteristic of rough surface on gas sealing performance in seal structure[J].Journal of Mechanical Engineering,2015,51(23):110-115.
[20]TAKEUTI Y,ZAIMA S,NODA N.Thermal stresses problems in industry1:On thermoelastic distortion in machining metals[J].Thermal Stresses,1978,1(2):199-210.
[21]奥齐西克M N.热传导[M].俞昌铭译.北京:高等教育出版,1983.OZISIK M N.Heat transfer[M].Translated by YU Changming.Beijing:Higher Education Press,1983.
[22]王洪纲.热弹性力学概论[M].北京:清华大学出版社,1989.WANG Honggang.Introduction to thermal elasticity[M].Beijing:Tsinghua University Press,1989.
[23]费业泰.机械热弹性变形理论及应用[M].北京:国防工业出版社,2009.FEI Yetai.Theory and application of mechanical thermal elastic deformation[M].Beijing:National Defense Industry Press,2009.
[2]陈芳华,汪久根,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.CHEN Fanghua,WANG Jiugen,ZHANG Genyuan.Elastohydrodynamic lubrication of tapered roller with logarithmic profile[J].Journal of Mechanical Engineering,2011,47(19):143-148.
[3]HE T,WANG J X,WANG Z J,et al.Simulation of plasto-elastohydrodynamic lubrication in line contacts of infinite and finite length[J].ASME Journal of Tribology,2015,137(4):041505.
[4]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):279-285.YANG Ping,LIU Xiaoling,YANG Peiran.The influence of load offsetting on the EHL of tapered roller[J].Tribology,2012,32(3):279-285.
[5]LIU X L,YANG P R.Analysis of the thermal elasto-hydrodynamic lubrication of a finite line contact[J].Tribology International,2002,35(3):137-144.
[6]NAJJARI M,GUILBAULT R.Edge contact effect on thermal elastohydrodynamic lubrication of finite contact lines[J].Tribology International,2014,71(71):50-61.
[7]SHI X J,WANG L Q.TEHL analysis of high-speed and heavy-load roller bearing with quasi-dynamic characteristics[J].Chinese Journal of Aeronautics,2015,28(4):1296-1304.
[8]刘晓玲,杨沛然.滚子副温度对润滑性能的影响[J].机械工程学报,2011,47(7):123-127.LIU Xiaoling,YANG Peiran.Influence of roller pairs temperature on lubricating behavior[J].Journal of Mechanical Engineering,2011,47(7):123-127.
[9]史修江,王黎钦.基于拟动力学的航空发动机主轴滚子轴承热弹流润滑分析[J].机械工程学报,2016,52(3):86-92.SHI Xiujiang,WANG Liqin.TEHL analysis of aero-engine mainshaft roller bearing based on quasi-dynamics[J].Journal of Mechanical Engineering,2016,52(3):86-92.
[10]LIU X L,YANG P R.On the thermal elastohydrodynamic lubrication of tilting roller pairs[J].Tribology International,2013,65(3):346-353.
[11]DONG G H,JING M Q,CHEN Z F,et al.On the elastic stress field of tilting roller pairs considering thermal elastohydrodynamic lubrication[J].Tribology International,2014,78(4):27-34.
[12]VINOGRADOV O.Using modified potential to account for non-zero temperature in molecular statics for crystals[J].Computational Materials Science,2008,41(4):493-497.
[13]LI G N,VINOGRADOV O,GUBANOV A.A modified Morse potential accounting for non-zero temperature in molecular statics for Nickel crystals[J].Computational Materials Science,2012,62:126-130.
[14]苗恩铭,徐祗尚,周小帅,等.基于热力转换机理仿真圆柱体零件形体边界约束的热弹性变形[J].光学精密工程,2015,23(2):504-511.MIAO Enming,XU Zhishang,ZHOU Xiaoshuai,et al.Simulation of thermal deformation of cylindrical mechanical parts bounded by boundary constraint based on conversion mechanism of thermal into mechanics[J].Optics and Precision Engineering,2015,23(2):504-511.
[15]YANG P R,WEN S Z.A generalized Reynolds equation for non-Newtonian thermal elastohydrodynamic lubrication[J].ASME Journal of Tribology,1990,112(4):631-636.
[16]ROELANDS C J A.Correlation aspects of viscositytemperature-pressure relationship of lubrication oils[D].Netherlands:Delft University of Technology,1966.
[17]DOWSON D,HIGGINSON GR.Elastohydrodynamic lubrication[M].Oxford:Pergamon Press,1977.
[18]YANG P R,WEN S Z.The behavior of non-Newtonian thermal EHL film in line contacts at dynamic loads[J].ASME Journal of Tribology,1992,114(1):81-85.
[19]吕祥奎,杨文健,许国良,等.密封结构中粗糙表面特征对其气密性的影响[J].机械工程学报,2015,51(23):110-115.LüXiangkui,YANG Wenjian,XU Guoliang,et al.The influence of characteristic of rough surface on gas sealing performance in seal structure[J].Journal of Mechanical Engineering,2015,51(23):110-115.
[20]TAKEUTI Y,ZAIMA S,NODA N.Thermal stresses problems in industry1:On thermoelastic distortion in machining metals[J].Thermal Stresses,1978,1(2):199-210.
[21]奥齐西克M N.热传导[M].俞昌铭译.北京:高等教育出版,1983.OZISIK M N.Heat transfer[M].Translated by YU Changming.Beijing:Higher Education Press,1983.
[22]王洪纲.热弹性力学概论[M].北京:清华大学出版社,1989.WANG Honggang.Introduction to thermal elasticity[M].Beijing:Tsinghua University Press,1989.
[23]费业泰.机械热弹性变形理论及应用[M].北京:国防工业出版社,2009.FEI Yetai.Theory and application of mechanical thermal elastic deformation[M].Beijing:National Defense Industry Press,2009.