Abstract:Considering elastohydrodynamic lubrication theory and time-varying contact stiffness as the basis, a method using position function instead of time-varying stiffness coefficient is developed in this paper. A dynamics calculation model for double row tapered roller bearing with raceway surface waviness is established and effects of wave numbers and amplitude of the waviness on the vibration characteristics of bearing are analyzed. Results show that the raceway surface waviness can cause the and its multiple frequency in spectrum of vibration displacement of bearing in radial direction. The peak value appears when wave numbers of the waviness are equal or integral multiple to the number of the rollers, while the bearing is in seriously vibration. Many coupling frequencies of and rotating frequency appear in spectrum of vibration displacement of bearing in radial direction when surface waviness occurs in inner ring raceway, meanwhile there is a definite mathematical relationship between wave numbers and frequencies of peak value. Compared to inner ring, amplitude of the waviness on outer ring has great influence on vibration displacement of bearing in radial direction, moreover the peak-to-peak mean value of vibration displacement increases with the increase of the amplitude with raceway surface waviness.
Key words: spectrum of vibration; double row tapered roller bearing; surface waviness
[1] 梁国明. 表面光洁度和波纹度[M]. 北京: 北京科学技术
出版社,1984.
LIANG Guoming. Surface finish and waviness[M]. Beijing: Beijing Science and Technology Press,1984.
[2] AKTÜRK N. The effect of waviness on vibrations associated with ball bearings[J]. ASME Journal of Tribology, 1999, 121(4): 667-677.
[3] Yland E M. Waviness measurement-an instrument for quality control in rolling bearing industry[J]. Proceedings of the Institution of Mechanical Engineering, 1967, 182(11): 438-445.
[4] Wardle F P, Poon S Y. Rolling bearings noise, cause and cure[J]. Chartered Mechanical Engineering, 1983, (July/August): 36-40.
[5] HARSHA S P. Nonlinear dynamic analysis of an unbalanced rotor supperted by roller bearing[J]. Chaos Solitons&Fractals,2005,26(1):47-66.
[6] 邓四二,李兴林,汪久根,等. 角接触球轴承摩擦力矩波动性分析[J]. 机械工程学报,2011, 47(23): 104-112.
DENG Sier,LI Xinglin,WANG Jiugen,et al. Analysis on the friction torque fluctuation of angular contact ball bearing[J]. Journal of Mechanical Engineering,2011,47(23): 104-112.
[7] 杜秋华,杨曙年. 考虑润滑和波纹度影响的球轴承径向刚度[J]. 振动与冲击,2007,26(10): 152-156.
DU Qiuhua,YANG Shunian. Radial stiffness of ball bearings considering influences of surface waviness and lubrication[J]. Journal of Sound and Vibration,2007,26(10): 152-156,194.
[8] 侯磊,符毅强,陈予恕. 考虑中介轴承波纹度的双转子系统的非线性振动[J]. 航空动力学报,2017,32(003): 714-722.
HOU Lei,FU Yiqiang,CHEN Yushu. Nonlinear vibration of dual-rotor system with surface waviness in inter-shaft bearing[J]. Journal of Aerospace Power,2017,32(003): 714-722.
[9] 邵建敏,王伟. 表面波纹度对球轴承振动影响的模拟分析[J]. 郑州工学院学报,1994,15(3): 67-72.
SHAO Jianmin,WANG Wei. Vibration of a ball bearing by waviness-computer simulation[J]. Journal of Zhengzhou Institute of Technology,1994,15(3): 67-72.
[10] 刘静,吴昊,邵毅敏,等. 考虑内圈挡边表面波纹度的圆锥滚子轴承振动特征研究[J]. 机械工程学报,2018, 54(08): 42-50.
LIU Jing,WU Hao,SHAO Jianmin. Investigation for vibrations of tapered roller bearing considering the surface waviness on the rib of the inner race[J]. Journal of Mechanical Engineering,2018, 54(08): 42-50.
[11] 顾晓辉,杨绍谱,刘永强,等. 表面波纹度对滚动轴承-转子系统非线性振动的影响[J]. 振动与冲击,2014,33(8): 109-114.