Journal of Jilin University(Engineering and Technology Edition) ›› 2021, Vol. 51 ›› Issue (5): 1601-1611.doi: 10.13229/j.cnki.jdxbgxb20200850

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Oil film stiffness and damping of double⁃decker ball bearing in consideration of centrifugal expansion

Jing HU1,2(),Cong LI3,Bang-cheng ZHANG4,Xiao-li QIAO1,2,Xin-ming ZHANG1,2,5(),Xiao-ping ZHOU1,2   

  1. 1.College of Mechanical and Electrical Engineering，Changchun University of Science and Technology，Changchun 130022，China
    2.Jilin Province Innovation Center of Aerodynamic Science and Technology，Changchun 130022，China
    3.AVIC Aerodynaiviics Research Institute，Harbin 150001，China
    4.College of Mechanical and Electrical Engineering，Changchun University of Technology，Changchun 130022，China
    5.School of Mechatronic Engineering and Automation，Foshan University，Foshan 528225，China
  • Received:2020-11-05 Online:2021-09-01 Published:2021-09-16
  • Contact: Xin-ming ZHANG E-mail:hjcust163@163.com;zxmcust163@163.com

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Abstract:

The elastohydrodynamic lubrication of ball bearings is closely related to its dynamic performance. The accurate calculation of bearing elastohydrodynamic lubrication is the key to bearing speed analysis and reliability design. In this paper， the quasi-statics and elastohydrodynamic lubrication analysis model considering centrifugal expansion was established， that is， the influence model of centrifugal expansion. The influence of centrifugal expansion effect is analyzed. The results show that the stiffness and damping of the inner contact oil film decrease with the increase of the rotating speed； Considering the centrifugal expansion， the stiffness of the oil film increases and the damping decreases， and the amplitude of the change rate increases with the increase of the rotating speed. When the speed is close to high speed， the calculation accuracy can be improved by considering the centrifugal expansion. However， once the speed enters the high-speed region， the effect of centrifugal expansion can hardly be ignored.

Key words: mechanical design manufacturing and automation, double-decker ball bearing, elastohydrodynamic lubrication, centrifugal expansion, quasi-statics

CLC Number: 

  • TH133.33

Fig.1

Geometry relations between mth and nth ball center and curvature centre of raceway"

Fig.2

Flow chart of numerical analysis"

Table 1

Parameters of double-decker ball bearing"

参数数值
71901C71905C
球径/mm34.25
初始接触角/（°）1515
球的个数1721
内圈沟曲率半径系数0.5150.525
外圈沟曲率半径系数0.5150.525
节径/mm1833.5

Fig.3

Comparison of experimental interferogram and numerical simulation contour map"

Fig.4

Comparison of film thickness in literature and numerical simulation"

Fig.5

Variation of contact load of double-decker ball bearing with rotation speed"

Fig.6

Variation of contact stress of double-decker ball bearing with rotation speed"

Fig.7

Variation of entrainment velocity of double-decker ball Bearing with rotation speed"

Fig.8

Internal contact load comparison of inner bearing consider of centrifugal expansion"

Fig.9

Pressure diagram of elastohydrodynamic lubrication with a position angle of 0° at 16 000 r/min rotation speed"

Fig.10

Film thickness diagram of elastohydrodynamic lubrication with position angle 0° at 16 000 r/min rotation speed"

Fig.11

Contact load contrast of outer bearing inner ring after consider of centrifugal expansion"

Fig.12

Oil film stiffness contrast of double-decker ball bearing after consider of centrifugal expansion"

Fig.13

Oil-film damping contrast of inner ring contact between inner and outer layers of double-decker ball bearing after consider of centrifugal expansion"

Table 2

Change rate of oil film stiffness and damping at different speeds"

转速/（r·min-1）IKmax/%OKmax/%ICmax/%OCmax/%
10 0002.189 820.064 410.482 970.014 02
12 0003.135 920.093 420.695 720.020 34
14 0004.240 430.128 130.947 320.027 90
16 0005.496 680.168 641.237 810.036 73
18 0006.897 090.214 981.567 240.046 84
20 0008.433 190.267 101.935 590.058 22
22 00010.095 730.324 852.342 840.070 83
24 00011.874 690.388 052.788 890.084 64
26 00013.759 410.456 483.273 570.099 61
28 00015.738 660.529 983.796 660.115 70
30 00017.800 770.608 424.357 790.132 89
32 00019.933 710.691 754.956 530.151 16
34 00022.125 290.779 985.592 310.170 54
36 00024.363 280.873 176.264 430.191 02
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