高速电主轴角接触球轴承刚度及其对电主轴临界转速的影响分析

黄伟迪,甘春标,杨世锡,徐立晖

振动与冲击 ›› 2017, Vol. 36 ›› Issue (10) : 19-25.

PDF(1733 KB)
PDF(1733 KB)
振动与冲击 ›› 2017, Vol. 36 ›› Issue (10) : 19-25.
论文

高速电主轴角接触球轴承刚度及其对电主轴临界转速的影响分析

  • 黄伟迪,甘春标,杨世锡,徐立晖
作者信息 +

Analysis of stiffness of angular contact ball bearings and its effect on critical speed of a high speed motorized spindle

  • HUANG Weidi, GAN Chunbiao, YANG Shixi, Xu Lihui
Author information +
文章历史 +

摘要

针对高速电主轴角接触球轴承高转速的特点,建立角接触球轴承的拟静力学模型,分析径向力与电主轴转速对轴承滚珠与轴承沟道的接触角、接触力的影响;根据轴承与滚珠的受力平衡条件,研究角接触球轴承刚度受电主轴转速与预紧力的影响;基于Timoshenko梁理论,建立轴承-主轴的有限元模型,分析不同预紧力下角接触球轴承对电主轴临界转速的影响。结果表明:径向力与电主轴转速将改变轴承滚珠与轴承沟道的接触角与接触力,减小预紧力与升高转速会导致轴承的刚度降低,进而降低电主轴的临界转速;需要综合考虑角接触球轴承离心力、内圈膨胀和预紧力等影响因素,才能有效保障电主轴的安全运行。

Abstract

A pseudo-static model of the angular contact ball bearings in a high speed motorized spindle is built based on their high speed rotation, from which the impacts of the bearing radial force and the speed of motorized spindle on the contact angle and the contact force between the ball and the bearing race are discussed. According to the force equilibrium condition of the bearing and the ball, the impact of the bearing preload on the bearing stiffness is studied. Then, the finite element models of the bearing and the spindle are set up based on the Timoshenko beam theory, from which the influence of the bearing on the critical speed of the motorized spindle with different preloads is studied. The results show that the radial force and the speed of the motorized spindle may change the contact angle and the force between the ball and the bearing race, the bearing stiffness degradation will arise as the rotate speed is high and the preload is decreased, and the critical speed of the motorized spindle can also decrease. Moreover, to guarantee the safety of the motorized spindle, the effects of the bearing centrifugal force, the inner expansion, and the preload should be taken into account.
 

关键词

角接触球轴承 / 轴承刚度 / 电主轴 / 临界转速 / 预紧力

Key words

Angular contact ball bearing / bearing stiffness / motorized spindle / critical speed / preload

引用本文

导出引用
黄伟迪,甘春标,杨世锡,徐立晖. 高速电主轴角接触球轴承刚度及其对电主轴临界转速的影响分析[J]. 振动与冲击, 2017, 36(10): 19-25
HUANG Weidi, GAN Chunbiao, YANG Shixi, Xu Lihui. Analysis of stiffness of angular contact ball bearings and its effect on critical speed of a high speed motorized spindle[J]. Journal of Vibration and Shock, 2017, 36(10): 19-25

参考文献

[1] Harris TA. Rolling Bearing Analysis. New York:  Willey, 1991.
[2] Li H, Shin Y C. Analysis of bearing configuration effects on high speed spindles using an integrated dynamic thermo-mechanical spindle model[J]. International Journal of Machine Tools and Manufacture, 2004, 44(4): 347-364.
[3] Chen W, Ma Z, Gao L, Li X, Pan J. Quasi-static analysis of thrust-loaded angular contact ball bearings part I: theoretical formulation[J]. Chinese Journal of Mechanical Engineering, 2012, 25(1): 71-80.
[4] Jiang SY, Mao H. Investigation of variable optimum preload for a machine tool spindle[J]. International Journal of Machine Tools and Manufacture, 2010, 50(1):19-28.
[5] Hernot X, Sartor M, Guillot J. Calculation of the stiffness matrix of angular contact ball bearings by using the analytical approach[J]. Journalof Mechanical Design, 2000, 122(1): 83-90.
[6] 曹宏瑞, 李兵, 何正嘉. 高速主轴动力学建模及高速效应分析. 振动工程学报, 2012, 25(2): 103-109.
CAO Hong-rui, LI Bing, HE Zheng-jia. Danamic modeling of high-speed spindles and analysis of high-speed effects. Journal of vibration Engineering, 2012, 25(2): 103-109.
[7] 李松生,陈晓阳,张刚,王春兰,杨柳欣,陈长江. 超高速时电主轴轴承的动态支承刚度分析. 机械工程学报,2006, 42(11): 60-65.
LI Song-sheng, CHEN Xiao-yang, ZHANG Gang, WANG Chun-lan, YANG Liu-xin, CHEN Chang-jiang. Analyses of dynamic supporting stiffness about spindle bearings at extra high-speed in electric spindles. Chinese Journal of Mechanical Engineering, 2006, 42(11): 60-65.
[8] Jones A. A general theory for elastically constrained ball and radial roller bearings under arbitrary load and speed conditions[J]. Journal of Fluids Engineering, 1960, 82(2): 309-320.
[9] de Mul J, Vree J, Maas D. Equilibrium and Associated Load Distribution in Ball and Roller Bearings Loaded in Five Degrees of Freedom While Neglecting Friction—Part I: General Theory and Application to Ball Bearings[J]. Journal of tribology, 1989, 111(1): 142-148.
[10] Greenwood J. Analysis of elliptical Hertzian contacts[J]. Tribology International, 1997, 30(3): 235-237.
[11] Cao Y, Altintas Y. A general method for the modeling of spindle-bearing systems[J]. Journal of Mechanical Design, 2004, 126: 1089-1104.

 

PDF(1733 KB)

Accesses

Citation

Detail

段落导航
相关文章

/