摆线针轮传动接触乏油润滑特性分析
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摘要
摆线针轮行星传动啮合过程中供油量变化影响传动效率和接触疲劳特性。引入部分油膜厚度比例,以入口油膜厚度来表征乏油程度,建立摆线针轮有限长线接触乏油润滑数值模型,研究在齿宽方向上入口油膜厚度不均匀分布对压力和膜厚分布的影响。结果表明:乏油条件下,随着入口供油量增加,入口油膜厚度的不均匀分布对齿宽方向上的压力和膜厚分布的影响减小;随着速度的增加,齿宽方向压力和膜厚分布受入口油膜厚度不均匀分布的影响增加;随着载荷的增加,齿宽方向压力和膜厚分布受入口油膜厚度不均匀分布的影响程度减小。
A cycloid drive belongs to precision drive and its varying oil-supply layer during meshing process influences the transmission efficiency and the contact fatigue.The variable to describe the starved degree,i.e.,the fractional film content,was incorporated in Reynolds equation.A numerical finite line starved lubrication model was built and the effect of inlet oil film thickness of uniform distribution on the pressure and film thickness profile was investigated.The results show that under the starved lubrication condition,as the oil-supply layer increases, the effect of shape of inlet oil film thickness on the pressure and film profile is decreased.As the speed increases,the effect of shape of inlet oil film thickness on the pressure and film distribution is increased.However,as the load increase,the effect of shape of inlet oil film thickness on the pressure and film profile is decreased.
A cycloid drive belongs to precision drive and its varying oil-supply layer during meshing process influences the transmission efficiency and the contact fatigue.The variable to describe the starved degree,i.e.,the fractional film content,was incorporated in Reynolds equation.A numerical finite line starved lubrication model was built and the effect of inlet oil film thickness of uniform distribution on the pressure and film thickness profile was investigated.The results show that under the starved lubrication condition,as the oil-supply layer increases, the effect of shape of inlet oil film thickness on the pressure and film profile is decreased.As the speed increases,the effect of shape of inlet oil film thickness on the pressure and film distribution is increased.However,as the load increase,the effect of shape of inlet oil film thickness on the pressure and film profile is decreased.
引文
[1]LIU M,ZHU C,LIU H,et al.Effects of working conditions on TEHL performance of a helical gear pair with non-newtonian fluids[J].Journal of Tribology,2014,136(2):021502-1-9.
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[6]WEN S Z,YING T N.A theoretical and experimental study of EHL lubricated with grease[J].Journal of Tribology,1988,110:38-43.
[7]LUGT P M.A review on grease lubrication in rolling bearings[J].Tribology Transactions,2009,52:470-480.
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[14]ELROD H G.A cavitation algorithm[J].Journal of Tribology,1981,103(3):350-354.
[15]YIN C,YANG P,TAN H,et al.Thermal elastohydrodynamic lubrication of starved elliptical contacts[J].Tribology International,2009,42:964-974.
[16]WANG W Z,LI S,SHEN D,et al.A mixed lubrication model with consideration of starvation and interasperity cavitations[J].Proceedings of the Institution of Mechanical Engineers,Part J:Journal of Engineering Tribology,2012,226(12):1023-1038.
[17]赵清,何韶君.摆线针轮行星传动的弹流润滑分析[J].润滑与密封,1997,22(6):19-21.ZHAO Q,HE S J.Analysis of EHL in cycloid planetary gearing[J].Lubrication Engineering,1997,22(6):19-21.
[18]姜元志,王优强,于平.摆线针轮行星传动瞬态弹流润滑分析[J].润滑与密封,2014,39(12):12-15.JIANG Y Z,WANG Y Q,YU P.The transient EHL analysis of cycloidal pinwheel planetary gearing mechanism[J].Lubrication Engineering,2014,39(12):12-15.
[19]姜元志,王优强,卢宪玖.单粗糙峰对摆线针轮弹流润滑的影响[J].机械设计与制造,2014(12):49-52.JIANG Y Z,WANG Y Q,LU X J.Influence of single rough peak on elastohydrodynamic lubrication of cycloid pinwheel[J].Journal of Machinery Design and Manufacture,2014(12):49-52.
[20]ZHU C,SUN Z,LIU H,et al.Effect of tooth profile modification on lubrication performance of a cycloid drive[J].Proceedings of the Institution of Mechanical Engineers,Part J:Journal of Engineering Tribology,2015,229(7):785-794.
[21]孙章栋,朱才朝,刘怀举,等.摆线针轮传动线接触弹流润滑分析[J].振动与冲击,2014,33(23):195-199.SUN Z D,ZHU C C,LIU H J,et al.Numerical analysis of elastohydrodynamic lubrication for cycloid drives[J].Journal of Vibration and Shock,2014,33(23):195-199.
[22]ZHU C C,SUN Z D,LIU H J,et al.Effect of the shape of inlet oil-supply layer on starved lubrication performance of a cycloid drive[C]//Proceedings of ASME 2015 International Design Engineering and Technical Conferences and Computers and Information in Engineering Conference.Boston:ASME,2015.
[23]ZHU C,LIU M,LIU H,et al.A thermal finite line contact EHLmodel of a helical gear pair[J].Proceedings of the Institution of Mechanical Engineers,Part J:Journal of Engineering Tribology,2012,227(4):299-309.
[24]LIU Y,WANG Q J,WANG W,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.
[25]LIU S B,WANG Q,LIU G.A versatile method of discrete convolution and FFT(DC-FFT)for contact analyses[J].Wear,2000,243(1/2):101-111.
[26]DOWSON D.Elastohydrodynamics[J].Proceedings of the Institution of Mechanical Engineers,1968,182:151-167.
[2]LIU H,MAO K,ZHU C,et al.Spur gear lubrication analysis with dynamic loads[J].Tribology Transactions,2013,56:41-48.
[3]LIU H,MAO K,ZHU C,et al.Mixed lubricated line contact analysis for spur gears using a deterministic model[J].Journal of Tribology,2012,134(2):021501.1-7.
[4]KAUZLARICH J J,GREENWOOD J A.Elastohydrodynamic lubrication with Herschel-Bulkley model greases[J].ASLE Transactions,1972,15:269-277.
[5]JONKISZ W,KRZEMINSKI-FREDA H.Pressure distribution and shape of an elastohydrodynamic grease film[J].Wear,1979,55:81-89.
[6]WEN S Z,YING T N.A theoretical and experimental study of EHL lubricated with grease[J].Journal of Tribology,1988,110:38-43.
[7]LUGT P M.A review on grease lubrication in rolling bearings[J].Tribology Transactions,2009,52:470-480.
[8]ROTHBERG S J,RAHNEJAT H,TEODORESCU M,et al.Thermoelastohydrodynamics of grease-lubricated concentrated point contacts[J].Proceedings of the Institution of Mechanical Engineers,Part C:Journal of Mechanical Engineering Science,2010,224(3):683-695.
[9]WEDEVEN L D,EVANS D,CAMERON A.Optical analysis of ball bearing starvation[J].Journal of Tribology,1971,93(3):349-361.
[10]HAMROCK B J,DOWSON D.Elastohydrodynamic lubrication of elliptical contacts for materials of low elastic modulus:II.starved conjunction[J].Journal of Lubrication Technology,1979,101(1):92-98.
[11]TIPEI N.Boundary conditions of a viscous flow between surfaces with rolling and sliding motion[J].Journal of Lubrication Technology,1968,90(1):254-261.
[12]MOHAMMADPOUR M,JOHNS-RAHNEJAT P M,RAHNEJAT H,et al.Boundary conditions for elastohydrodynamics of circular point contacts[J].Tribology Letters,2013,53(1):107-118.
[13]MOHAMMADPOUR M,THEODOSSIADES S,RAHNEJAT H.Transient mixed non-Newtonian thermo-elastohydrodynamics of vehicle differential hypoid gears with starved partial counterflow inlet boundary[J].Proceedings of the Institution of Mechanical Engineers,Part J:Journal of Engineering Tribology,2014,228(10):1159-1173.
[14]ELROD H G.A cavitation algorithm[J].Journal of Tribology,1981,103(3):350-354.
[15]YIN C,YANG P,TAN H,et al.Thermal elastohydrodynamic lubrication of starved elliptical contacts[J].Tribology International,2009,42:964-974.
[16]WANG W Z,LI S,SHEN D,et al.A mixed lubrication model with consideration of starvation and interasperity cavitations[J].Proceedings of the Institution of Mechanical Engineers,Part J:Journal of Engineering Tribology,2012,226(12):1023-1038.
[17]赵清,何韶君.摆线针轮行星传动的弹流润滑分析[J].润滑与密封,1997,22(6):19-21.ZHAO Q,HE S J.Analysis of EHL in cycloid planetary gearing[J].Lubrication Engineering,1997,22(6):19-21.
[18]姜元志,王优强,于平.摆线针轮行星传动瞬态弹流润滑分析[J].润滑与密封,2014,39(12):12-15.JIANG Y Z,WANG Y Q,YU P.The transient EHL analysis of cycloidal pinwheel planetary gearing mechanism[J].Lubrication Engineering,2014,39(12):12-15.
[19]姜元志,王优强,卢宪玖.单粗糙峰对摆线针轮弹流润滑的影响[J].机械设计与制造,2014(12):49-52.JIANG Y Z,WANG Y Q,LU X J.Influence of single rough peak on elastohydrodynamic lubrication of cycloid pinwheel[J].Journal of Machinery Design and Manufacture,2014(12):49-52.
[20]ZHU C,SUN Z,LIU H,et al.Effect of tooth profile modification on lubrication performance of a cycloid drive[J].Proceedings of the Institution of Mechanical Engineers,Part J:Journal of Engineering Tribology,2015,229(7):785-794.
[21]孙章栋,朱才朝,刘怀举,等.摆线针轮传动线接触弹流润滑分析[J].振动与冲击,2014,33(23):195-199.SUN Z D,ZHU C C,LIU H J,et al.Numerical analysis of elastohydrodynamic lubrication for cycloid drives[J].Journal of Vibration and Shock,2014,33(23):195-199.
[22]ZHU C C,SUN Z D,LIU H J,et al.Effect of the shape of inlet oil-supply layer on starved lubrication performance of a cycloid drive[C]//Proceedings of ASME 2015 International Design Engineering and Technical Conferences and Computers and Information in Engineering Conference.Boston:ASME,2015.
[23]ZHU C,LIU M,LIU H,et al.A thermal finite line contact EHLmodel of a helical gear pair[J].Proceedings of the Institution of Mechanical Engineers,Part J:Journal of Engineering Tribology,2012,227(4):299-309.
[24]LIU Y,WANG Q J,WANG W,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.
[25]LIU S B,WANG Q,LIU G.A versatile method of discrete convolution and FFT(DC-FFT)for contact analyses[J].Wear,2000,243(1/2):101-111.
[26]DOWSON D.Elastohydrodynamics[J].Proceedings of the Institution of Mechanical Engineers,1968,182:151-167.