几何修形对低速圆柱滚子轴承混合润滑性能的影响研究
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摘要
针对圆柱滚子轴承直母线滚子在接触出现的边缘应力集中现象,采用对滚子进行几何修形的方法,运用拟动力学分析方法开展轴承滚子受力和相对运动关系分析.在此基础上,综合考虑轴承接触工况、滚子修形参数和真实表面粗糙度等因素,建立圆柱滚子轴承混合润滑数学模型,分析滚子修形参数和转速对轴承润滑性能的影响.结果表明:从润滑角度判断,滚子母线凸度量δ和滚子端头圆角半径r均存在一个优化区间,使得最大受载滚子接触表面最大油膜压力和次表层最大von Mises应力σ显著减小,边缘效应弱化;δ和r对中心膜厚h_c和摩擦系数f的影响较小;转速的增大会使h_c变厚,f_c和σ减小,且混合润滑状态下转速对修形滚子的σ变化显著,修形后的滚子较未修形的滚子润滑性能要好.
Specific to the stress concentration at the edges of straight generatrix shape roller in cylindrical roller bearing,the method of geometric modification on roller was used. The forces acting on a roller and the relative motion for the bearing were carried out with the quasi-dynamic analysis method. By considering the contact conditions, roller modification parameters and real surface roughness, a mixed lubrication model was established. The effect of different roller modification parameters and speeds on the lubrication performance of bearing were calculated. The results from the judgement of lubrication show that both the roller convexity and roller round corner radius at roller ends, δ and r,having the optimized range to make the maximum oil film pressure and subsurface maximum von Mises stress(σ)decreased significantly, and weakened the edge effect. The δ and r had insignificant effect on average film thickness at center(h_c) and friction coefficient(f). With an increase rotation speed of the bearing, the h_c increased while the f and σ decreased, and the effect of the rotational speed on the δ of modified roller appeared to be significant in the mixed lubrication status. Compared to the roller without modification, roller with modification showed better lubrication performance.
Specific to the stress concentration at the edges of straight generatrix shape roller in cylindrical roller bearing,the method of geometric modification on roller was used. The forces acting on a roller and the relative motion for the bearing were carried out with the quasi-dynamic analysis method. By considering the contact conditions, roller modification parameters and real surface roughness, a mixed lubrication model was established. The effect of different roller modification parameters and speeds on the lubrication performance of bearing were calculated. The results from the judgement of lubrication show that both the roller convexity and roller round corner radius at roller ends, δ and r,having the optimized range to make the maximum oil film pressure and subsurface maximum von Mises stress(σ)decreased significantly, and weakened the edge effect. The δ and r had insignificant effect on average film thickness at center(h_c) and friction coefficient(f). With an increase rotation speed of the bearing, the h_c increased while the f and σ decreased, and the effect of the rotational speed on the δ of modified roller appeared to be significant in the mixed lubrication status. Compared to the roller without modification, roller with modification showed better lubrication performance.
引文
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[23]Ren N,Zhu D,Chen W W,et al.Plasto-elastohydrodynamic lubrication(PEHL)in point contacts[J].Journal of Tribology,2010,132(2):031501.
[24]He T,Ren N,Zhu D,et al.Plasto-elastohydrodynamic lubrication(PEHL)in point contacts for surfaces with three-dimensional sinusoidal waviness and real machined roughness[J].Journal of Tribology,2014,136(3):031504.doi:10.1115/1.4027478.
[25]Zhu D,Wang J,Wang Q.On the Stribeck curves for lubricated counterformal contacts of rough surfaces[J].Journal of Tribology,2015,137(2):1-10.
[26]He T,Zhu D,Wang J X,et al.Experimental and numerical investigations of the stribeck curves for lubricated counterformal contacts[J].Journal of Tribology,2017,139(2):021505.
[27]Bair S,Winer W O.A rheological model for elastohydrodynamic contacts based on primary laboratory data[J].Journal of Tribology,1979,101(3):258-264.
[28]Liu S B,Wang Q.Studying contact stress fields caused by surface tractions with a discrete convolution and fast fourier transform algorithm[J].Journal of Tribology,2002,124(1):36-45.doi:10.1115/1.1401017.
[29]Wang W Z,Wang H,Liu Y C,et al.A comparative study of the methods for calculation of surface elastic deformation[J].Proceedings of the Institution of Mechanical Engineers,Part J:Journal of Engineering Tribology,2003,217(2):145-154.doi:10.1243/13506500360603570.
[2]Wei Yangang,Ma Wen.Finite element analysis on crowing of roller for cylindrical roller bearings[J].Bearing,2004,(4):1-4(in Chinese)[魏延刚,马文.圆柱滚子轴承滚子凸度量有限元分析[J].轴承,2004,(4):1-4].doi:10.3969/j.issn.1000-3762.2004.04.001.
[3]Liu Yankui,Shen Wei,Wei Yangang.Effect of roller profile on stress in cylindrical roller bearings[J].Bearing,2007,(3):1-3(in Chinese)[刘彦奎,沈卫,魏延刚.滚动体素线形状对圆柱滚子轴承应力的影响[J].轴承,2007,(3):1-3].doi:10.3969/j.issn.1000-3762.2007.03.001.
[4]Ren N,Zhu D,Chen W W,et al.A three-dimensional deterministic model for rough surface line-contact EHL Problems[J].Journal of Tribology,2009,131(1):011501.doi:10.1115/1.2991291.
[5]Zhu D,Wang J X,Ren N,et al.Mixed elastohydrodynamic lubrication in finite roller contacts involving realistic geometry and surface roughness[J].Journal of Tribology,2012,134(1):011504.doi:10.1115/1.4005952.
[6]He Tao,Wang Jiaxu,Zhu Dong,et al.Analysis of plasto-elastohydrodynamic lubrication in point contacts[J].Tribology,2015,35(5):564-572(in Chinese)[何涛,王家序,朱东,等.点接触弹塑性流体动力润滑研究[J].摩擦学学报,2015,35(5):564-572].doi:10.16078/j.tribology.2015.05.008.
[7]He T,Wang J X,Wang Z J,et al.Simulation of plastoelastohydrodynamic lubrication(PEHL)in line contacts of infinite and finite length[J].Journal of Tribology,2015,137(4):041505.doi:10.1115/1.4030690.
[8]He T,Zhu D,Yu C J,et al.Mixed elastohydrodynamic lubrication model for finite roller-coated half space interfaces[J].Tribology International,2018,134:178-189.
[9]He T,Zhu D,Wang J X.Simulation of plasto-elastohydrodynamic lubrication(PEHL)in a rolling contact[J].Journal of Tribology,2016,138(3):031503.doi:10.1115/1.4032137.
[10]Wei B,Wang J X,Zhou G W,et al.Mixed lubrication analysis of modified cycloidal gear used in the RV reducer[J].Proceedings of the Institution of Mechanical Engineers,Part J:Journal of Engineering Tribology,2016,230(2):121-134.doi:10.1177/1350650115593301.
[11]Cao W,Wang J X,Pu W,et al.The effect of round corner on lubrication of high speed cylindrical roller bearings considering skidding[J].Industrial Lubrication and Tribology,2017,69(6):833-843.doi:10.1108/ILT-03-2016-0055.
[12]Sun Haoyang,Chen Xiaoyang,Yang Peiran.Thermal elastohydrodynamic lubrication of cylindrical rollers with crown profiled ends at heavy load[J].Journal of Mechanical Engineering,2004,40(7):99-104(in Chinese)[孙浩洋,陈晓阳,杨沛然.相交圆弧修形滚子的重载热弹流研究[J].机械工程学报,2004,40(7):99-104].doi:10.3321/j.issn:0577-6686.2004.07.020.
[13]Sun Haoyang,Chen Xiaoyang,Liu Chunhao,et al.Study on thermal EHL performance of Lundberg profiled rollers and the modification of its crowning value[J].Tribology,2008,28(1):68-72(in Chinese)[孙浩洋,陈晓阳,刘春浩,等.Lundberg对数滚子的热弹流特性及其凸度量的修正[J].摩擦学学报,2008,28(1):68-72].doi:10.3321/j.issn:1004-0595.2008.01.013.
[14]Sun Haoyang,Chen Xiaoyang,Zhang Hongxin.Crowning design for the logarithmic profile roller according to a thermal elastohydrodynamic lubrication(EHL)theory[J].Tribology,2010,30(6):567-571(in Chinese)[孙浩洋,陈晓阳,张宏信.对数滚子的热弹流凸度量设计研究[J].摩擦学学报,2010,30(6):567-571].doi:10.16078/j.tribology.2010.06.010.
[15]Harris T A.An analytical method to predict skidding in high speed roller bearings[J].Tribology Transactions,1966,9(3):229-241.
[16]Jia Zhibo,Qiu Ming.Slip rate calculation of high speed and light load cylindrical roller bearings[J].Bearing,1999,(4):4-6(in Chinese)[贾志博,邱明.高速轻载圆柱滚子轴承打滑率的计算[J].轴承,1999,(4):4-6].
[17]Cao W,Wang J X,Pu W,et al.A study on the effect of acceleration on slip velocity and lubrication performance in cylindrical roller bearings[J].Proceedings of the Institution of Mechanical Engineers,Part J:Journal of Engineering Tribology,2016,230(10):1231-1243.doi:10.1177/1350650116631453.
[18]Pu Wei,Wang Jiaxu,Li Junyang,et al.Analysis of longitudinal modification on lubrication performance of filtering reducer[J].Tribology,2014,34(4):393-399(in Chinese)[蒲伟,王家序,李俊阳,等.齿向修形对滤波减速器润滑性能的影响分析[J].摩擦学学报,2014,34(4):393-399].doi:10.16078/j.tribology.2014.04.016.
[19]Zhu D,Hu Y Z.The study of transition from full film elastohydrodynamic to mixed and boundary lubrication[C].The Advancing Frontier of Engineering Tribology,Proceedings of the1999 STLE/ASME HS Cheng Tribology Surveillance,1999:150-156.
[20]Hu Y Z,Zhu D.A full numerical solution to the mixed lubrication in point contacts[J].Journal of Tribology,2000,122(1):1-9.doi:10.1115/1.555322.
[21]Liu Y C,Wang Q,Wang W Z,et al.Effects of differential scheme and mesh density on EHL film thickness in point contacts[J].Journal of Tribology,2006,128(3):641-653.doi:10.1115/1.2194916.
[22]Zhu D.On some aspects of numerical solutions of thin-film and mixed elastohydrodynamic lubrication[J].Proceedings of the Institution of Mechanical Engineers,Part J:Journal of Engineering Tribology,2007,221(5):561-579.doi:10.1243/13506501JET259.
[23]Ren N,Zhu D,Chen W W,et al.Plasto-elastohydrodynamic lubrication(PEHL)in point contacts[J].Journal of Tribology,2010,132(2):031501.
[24]He T,Ren N,Zhu D,et al.Plasto-elastohydrodynamic lubrication(PEHL)in point contacts for surfaces with three-dimensional sinusoidal waviness and real machined roughness[J].Journal of Tribology,2014,136(3):031504.doi:10.1115/1.4027478.
[25]Zhu D,Wang J,Wang Q.On the Stribeck curves for lubricated counterformal contacts of rough surfaces[J].Journal of Tribology,2015,137(2):1-10.
[26]He T,Zhu D,Wang J X,et al.Experimental and numerical investigations of the stribeck curves for lubricated counterformal contacts[J].Journal of Tribology,2017,139(2):021505.
[27]Bair S,Winer W O.A rheological model for elastohydrodynamic contacts based on primary laboratory data[J].Journal of Tribology,1979,101(3):258-264.
[28]Liu S B,Wang Q.Studying contact stress fields caused by surface tractions with a discrete convolution and fast fourier transform algorithm[J].Journal of Tribology,2002,124(1):36-45.doi:10.1115/1.1401017.
[29]Wang W Z,Wang H,Liu Y C,et al.A comparative study of the methods for calculation of surface elastic deformation[J].Proceedings of the Institution of Mechanical Engineers,Part J:Journal of Engineering Tribology,2003,217(2):145-154.doi:10.1243/13506500360603570.