考虑表面缺陷的角接触球轴承非线性动力学分析
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摘要
针对机床主轴用角接触球轴承,建立考虑沟道表面缺陷和油膜切向摩擦力影响的轴承-转子系统的动力学模型,运用4阶Runge-Kutta法求解非线性运动微分方程组,研究沟道表面缺陷的数目、位置和分布对轴承振动的影响。结果表明:多个缺陷、内沟道缺陷及均匀分布的缺陷都会引起轴承较大的振动,且存在特征频率。研究结果为滚动轴承的状态监控和故障诊断提供了理论支持。
The dynamic model for bearing-rotor system is established considering influences of surface defects on raceway and tangential friction force of oil film for angular contact ball bearings used in machine tool spindle. The fourth order Runge-Kutta method is used to solve nonlinear differential equations of motion,and the effects of number,position and distribution of raceway defects on vibration of the bearings are researched. The results show that the multiple defects,inner raceway defects and evenly distributed defects induce larger vibration of the bearings,and the characteristic frequency is existed. The research results provide theoretical support for status monitoring and fault diagnosis of rolling bearings.
The dynamic model for bearing-rotor system is established considering influences of surface defects on raceway and tangential friction force of oil film for angular contact ball bearings used in machine tool spindle. The fourth order Runge-Kutta method is used to solve nonlinear differential equations of motion,and the effects of number,position and distribution of raceway defects on vibration of the bearings are researched. The results show that the multiple defects,inner raceway defects and evenly distributed defects induce larger vibration of the bearings,and the characteristic frequency is existed. The research results provide theoretical support for status monitoring and fault diagnosis of rolling bearings.
引文
[1]MCFADDEN P D,SMITH J D.Model for the vibration produced by a single point defect in a rolling element bearing[J].Journal of Sound&Vibration,1984,96(1):69-82.
[2]MCFADDEN P D,SMITH J D.The vibration produced by multiple point defects in a rolling element bearing[J].Journal of Sound&Vibration,1985,98(2):263-273.
[3]TANDON N,CHOUDHURY A.An analytical model for the prediction of the vibration response of rolling element bearings due to a localized defect[J].Journal of Sound&Vibration,1997,205(3):275-292.
[4]SOPANEN J,MIKKOLA A.Dynamic model of a deep groove ball bearing including localized and distributed defects,part 1:theory[J].Proceedings of the Institution of Mechanical Engineers Part K:Journal of Multi-Body Dynamics,2003,217(3):201-211.
[5]SOPANEN J,MIKKOLA A.Dynamic model of a deep groove ball bearing including localized and distributed defects,part 2:implementation and results[J].Proceedings of the Institution of Mechanical Engineers Part K:Journal of Multi-Body Dynamics,2003,217(3):213-223.
[6]KIRAL Z,KARAGLLE H.Vibration analysis of rolling element bearings with various defects under the action of an unbalanced force[J].Mechanical Systems&Signal Processing,2006,20(8):1967-1991.
[7]SASSI S,BADRI B,THOMAS M.A numerical model to predict damaged bearing vibrations[J].Journal of Vibration&Control,2007,13(11):1603-1628.
[8]ARSLAN H,AKTRK N.An investigation of rolling element vibrations caused by local defects[J].Journal of Tribology,2008,130(4):1-12.
[9]PATEL V N,TANDON N,PANDEY R K.A dynamic model for vibration studies of deep groove ball bearings considering single and multiple defects in races[J].Journal of Tribology,2010,132(4):1-10.
[10]刘静.滚动轴承缺陷非线性激励机理与建模研究[D].重庆:重庆大学,2014.
[11]LIU J,SHAO Y,ZHU W D.A new model for the relationship between vibration characteristics caused by the time-varying contact stiffness of a deep groove ball bearing and defect sizes[J].Journal of Tribology,2015,137(3):031101.
[12]牛蔺楷,曹宏瑞,何正嘉.考虑三维运动和相对滑动的滚动球轴承局部表面损伤动力学建模研究[J].机械工程学报,2015,51(19):53-59.
[13]陈雄.角接触球轴承静力学与动力学分析[D].南京:南京航空航天大学,2007.
[14]徐东,徐永成,陈循,等.单表面故障的滚动轴承系统非线性动力学研究[J].机械工程学报,2010,46(21):61-68.
[15]罗彩煌.滚动轴承咬入与局部缺陷打滑的动力学建模及影响因素研究[D].重庆:重庆大学,2014.
[16]邓四二,贾群义,薛进学.滚动轴承设计原理[M].2版.北京:中国标准出版社,2014.
[2]MCFADDEN P D,SMITH J D.The vibration produced by multiple point defects in a rolling element bearing[J].Journal of Sound&Vibration,1985,98(2):263-273.
[3]TANDON N,CHOUDHURY A.An analytical model for the prediction of the vibration response of rolling element bearings due to a localized defect[J].Journal of Sound&Vibration,1997,205(3):275-292.
[4]SOPANEN J,MIKKOLA A.Dynamic model of a deep groove ball bearing including localized and distributed defects,part 1:theory[J].Proceedings of the Institution of Mechanical Engineers Part K:Journal of Multi-Body Dynamics,2003,217(3):201-211.
[5]SOPANEN J,MIKKOLA A.Dynamic model of a deep groove ball bearing including localized and distributed defects,part 2:implementation and results[J].Proceedings of the Institution of Mechanical Engineers Part K:Journal of Multi-Body Dynamics,2003,217(3):213-223.
[6]KIRAL Z,KARAGLLE H.Vibration analysis of rolling element bearings with various defects under the action of an unbalanced force[J].Mechanical Systems&Signal Processing,2006,20(8):1967-1991.
[7]SASSI S,BADRI B,THOMAS M.A numerical model to predict damaged bearing vibrations[J].Journal of Vibration&Control,2007,13(11):1603-1628.
[8]ARSLAN H,AKTRK N.An investigation of rolling element vibrations caused by local defects[J].Journal of Tribology,2008,130(4):1-12.
[9]PATEL V N,TANDON N,PANDEY R K.A dynamic model for vibration studies of deep groove ball bearings considering single and multiple defects in races[J].Journal of Tribology,2010,132(4):1-10.
[10]刘静.滚动轴承缺陷非线性激励机理与建模研究[D].重庆:重庆大学,2014.
[11]LIU J,SHAO Y,ZHU W D.A new model for the relationship between vibration characteristics caused by the time-varying contact stiffness of a deep groove ball bearing and defect sizes[J].Journal of Tribology,2015,137(3):031101.
[12]牛蔺楷,曹宏瑞,何正嘉.考虑三维运动和相对滑动的滚动球轴承局部表面损伤动力学建模研究[J].机械工程学报,2015,51(19):53-59.
[13]陈雄.角接触球轴承静力学与动力学分析[D].南京:南京航空航天大学,2007.
[14]徐东,徐永成,陈循,等.单表面故障的滚动轴承系统非线性动力学研究[J].机械工程学报,2010,46(21):61-68.
[15]罗彩煌.滚动轴承咬入与局部缺陷打滑的动力学建模及影响因素研究[D].重庆:重庆大学,2014.
[16]邓四二,贾群义,薛进学.滚动轴承设计原理[M].2版.北京:中国标准出版社,2014.