Quantitative Research on the Permissible Tilt Angle of High-speed Angular Contact Ball Bearings

doi:10.3901/JME.2015.23.046

Abstract

Abstract: The tilt between inner rings and outer rings of high-speed angular contact ball bearings is always existed to some extent because of manufacturing and assembly errors. When a certain limit value of the tilt is exceeded, their accuracy, stiffness, temperature rise and life can be severely affected. The permissible tilt angle cannot be reflected accurately by current methods because centrifugal effects and lubrication film effects are ignored. An analytical model is established to calculate bearing dynamic characteristics in which tilt, centrifugal effect and lubrication are taken into account. The corresponding software is developed. A typical example is analyzed by the developed software and SKF TABACY. They are in good agreement when centrifugal effects and lubrication are not considered. However, it is more reasonable for analyzing centrifugal and lubrication effects. The influence of ring tilt angle on bearing dynamic characteristics is further studied with consideration of centrifugal effect and lubrication. The permissible tilt angle is proposed to guarantee bearing life.

Key words: angular contact ball bearing, centrifugal effect, elastohydrodynamic lubrication, ring tilt angle

XIONG Wanli, ZHOU Yang, ZHAO Zisheng, Lü Lang. Quantitative Research on the Permissible Tilt Angle of High-speed Angular Contact Ball Bearings[J]. Journal of Mechanical Engineering, 2015, 51(23): 46-52.

References

[1] 林基恕. 航空发动机主轴滚动轴承的技术进展[J]. 燃气涡轮试验与研究，2003，16(4)：52-56.LIN Jishu. Technical advance in rolling bearing of aero-engine shaft[J]. Gas Turbine Experiment and Research，2003，16(4)：52-56.
[2] 熊万里，李芳芳，纪宗辉，等. 滚动轴承电主轴系统动力学研究综述[J]. 制造技术与机床，2010(3)：25-30.XIONG Wanli，LI Fangfang，JI Zonghui，et al. Review on the dynamics of rolling bearings motorized spindle system[J]. Manufacturing Technology & Machine Tool，2010(3)：25-30.
[3] 徐锐，沈献绍，范强，等. 航空发动机主轴球轴承失效分析[J]. 轴承，2012(6)：20-24.XU Rui，SHEN Xianshao，FAN Qiang，et al. Failure analysis on aero-engine spindle ball bearings[J]. Bearing，2012(6)：20-24.
[4] ELLIS E E. Misaligned ball bearings[J]. Tribology，1970，3(1)：29-38.
[5] HINTON W R. An investigation into the causes of ball bearing failures in types P2 and P3 engine-driven generators[J]. Wear，1970，16(1)：3-42.
[6] HINTON W R. A theoretical study of the effect of angular misalignment on ball bearing cage life[J]. Wear，1970，16(3)：175-187.
[7] CRAWFORD T S. The experimental determination of ball bearing cage stress[J]. Wear，1970，16(1)：43-52.
[8] ERTAS B H，VANCE J M. Effect of static and dynamic misalignment on ball bearing radial stiffness[J]. Journal of Propulsion and Power，2004，20(4)：634-647.
[9] JONES A B. Ball motion and sliding friction in ball bearings[J]. Journal of Basic Engineering，1959，81(3)：1-12.
[10] HARRIS T A，KOTZALAS M N. 滚动轴承分析[M]. 5版. 罗继伟，李济顺，杨咸启，等，译. 北京：机械工业出版社，2009.HARRIS T A，KOTZALAS M N. Rolling bearing analysis[M]. 5th ed. Translated by LUO Jiwei，LI Jishun，YANG Xianqi，et al. Beijing：China Machine Press，2009.
[11] 张学宁，韩勤锴，褚福磊. 基于简化 Jones-Harris 方法的球轴承接触角研究[J]. 振动与冲击，2013，32(13)：170-175.ZHANG Xuening，HAN Qinkai，CHU Fulei. Contact angle of ball bearings based on a simplified Jones-Harris method[J]. Journal of Vibration and Shock，2013，32(13)：170-175.
[12] YE Zhenhuan，WANG Liqin，ZHANG Chuanwei，et al. Impact of shaft coaxiality on the local stiffness of angular contact ball bearing[J]. Advanced Materials Research，2012，418：1026-1030.
[13] 万长森. 滚动轴承的分析方法[M]. 北京：机械工业出版社，1987. WANG Changsen. Rolling bearing analysis method[M]. Beijing：China Machine Press，1987.
[14] 曹宏瑞，李兵，陈雪峰，等. 高速主轴离心膨胀及对轴承动态特性的影响[J]. 机械工程学报，2012，48(19)：59-64.CAO Hongrui，LI Bing，CHEN Xuefeng，et al. Centrifugal expansion of high-speed spindle and its influences on bearing dynamic characteristics[J]. Journal of Mechanical Engineering，2012，48(19)：59-64.
[15] 曾克和. Newton-Broyden 组合迭代法的收敛性[J]. 西南交通大学学报，1983(4)：38-45.ZENG Kehe. On the convergence of a combined Newton-Broyden’s iterative method[J]. Journal of Southwest Jiaotong University，1983(4)：38-45.
[16] 李松生，陈晓阳，张钢，等. 超高速时电主轴轴承的动态支承刚度分析[J]. 机械工程学报，2006，42(11)：60-65.LI Songsheng，CHEN Xiaoyang，ZHANG Gang，et al. Analyses of dynamic supporting stiffness about spindle bearings at extra high-speed in electric spindles[J]. Chinese Journal of Mechanical Engineering，2006，42(11)：60-65.