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

Journal of Vibration and Shock ›› 2017, Vol. 36 ›› Issue (10) : 19-25.

PDF(1733 KB)
PDF(1733 KB)
Journal of Vibration and Shock ›› 2017, Vol. 36 ›› Issue (10) : 19-25.

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
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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.
 

Key words

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

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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

References

[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.

 
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