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Life extension analysis of high speed ball bearing based on multi-parameter coupling

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Abstract

The internal contact nonlinear characteristics caused by the quasi-static properties of high-speed ball bearing is taken as a breakthrough point. Based on the L-P fatigue life theory, the bearing parameters and the preload load are used as the constraint variables to establish an overall bearing life extension model. Then, combined with the influence of geometric parameters on the osculation, the influence mechanism between spin-to-roll ratio and the life of the bearing are studied under the individual variation of the geometric parameters. Finally, the variation law of the bearing life, frictional heat generation and spin-to-roll ratio under the coupling changes of various parameters, and the priority of each parameter on the bearing life sensitivity, are investigated. The results show that the bearing life could be prolonged when the initial contact angle and the number of rolling elements increase but the inner and outer raceway curvature radius coefficients of the bearing and the preload force reduce. And the priority order of each parameter to bearing life sensitivity is as follows: the inner and outer raceway curvature radius coefficients shows the strongest influence on the bearing life, followed by the number of balls, and then the initial contact angle. This research provides a reliable theoretical basis for the design of high-speed ball bearings and life extension technology.

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Abbreviations

C 0 :

The rated static load of the bearing

D e :

Bearing outside diameter

D b :

Ball diameter

D i :

Bearing inside diameter

D m :

Kelvin temperature scale

f e :

The outer and outer raceway curvature radius coefficient

f i :

The inner and outer raceway curvature radius coefficient

f d :

Coefficient determined by bearing design and load

P1 :

The equivalent load that by the friction torque

Q :

The contact force between the ball and raceway

Q c :

Stands for rated dynamic force

Q ci, Q ce :

Inner and outer rings rated dynamic load of the jth ball

Q ij, Q ej :

Normal force acting on the ball through oil film on the inner and outer raceways

Z :

Number of rolling elements

α 0 :

Bearing initial contact angel

α i :

Inner ring contact angle of bearing

α ej :

Actual contact angle between ball and outer raceways at angular position Ψj

α ij :

Actual contact angle between ball and Inner raceways at angular position Ψj

w s :

Spin angular velocity

F a :

Axial load

F r :

Radial load

F xij, F xej :

Tangential friction force of internal and external raceways on ball through oil film

K ij, K ej :

Substitution coefficient

L :

Bearing overall fatigue life

L i, L e :

Life of inner and outer rings of bearings

M 1 :

The friction torque caused by lubricant

M2 :

The friction torque caused by external load

M3 :

Friction torque caused by spin friction of ball

M ij, M ej :

The friction moments between a single ball and the inner ring or outer ring

r i, r e :

Inner and outer raceway groove curvature radius

X ij, X rj :

Auxiliary variables.

V l :

The kinematic viscosity of lubricant

ω s :

The ball spin angular velocity

ω roll :

The rolling speed of the ball relative to the raceway

β :

Angular between ball velocity vector and pitch circle

δ ij :

The amount of deformation of the rolling element in contact with the inner and outer ring raceways

δ ej :

The amount of deformation of the rolling element in contact with the outer ring raceway

δ a, δ r :

Relative axial and radial displacement of inner and outer raceways

μ s :

The friction coefficient of the ball and the channel

ε :

Elliptic integral of the second kind

γ :

(Db cos α)/Dm

Ψj :

Ball angular position

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Acknowledgments

The authors would like to thank the Major scientific and technological projects in Shanxi Province(20201102003), Shanxi coal based low carbon joint fund (No.U1610118), National Natural Science Foundation of China (No. 51375325), Shanxi coal based low carbon joint fund (No.U1510131), the Shanxi Provincial Special Fund for Coordinative Innovation Center of Taiyuan Heavy Machinery Equipment and the fund for Shanxi “1331 Project” Key Subjects Construction for their support to this research.

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Authors and Affiliations

  1. School of Mechanical Engineering and the Coordinative Innovation Center of Taiyuan Heavy Machinery Equipment, Taiyuan University of Science and Technology, Taiyuan, 030024, China

    Guang Zeng, Chunjiang Zhao, Qiang Bian, Zhigang Xiao & Bingyang Liu

  2. Department of Product Development, Luoyang Bearing Science and Technology Co., Ltd., Luoyang, 471000, China

    Xiaokai Yu

Authors
  1. Guang Zeng
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  2. Chunjiang Zhao
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  3. Xiaokai Yu
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  4. Qiang Bian
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  5. Zhigang Xiao
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  6. Bingyang Liu
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Corresponding author

Correspondence to Chunjiang Zhao.

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Recommended by Editor Seungjae Min

Chunjiang Zhao is a Professor and Supervisor of Doctor Students. He received his Ph.D. degree in ball bearing and tribology from the Jilin University in 2009. Prof. Zhao is currently a Professor of School Engineering Research Center of Heavy Machinery Ministry of Education and Mechanical Engineering at Taiyuan University of Science and Technology. His research areas include rolling bearing analysis, high speed spinning technology, optimum design of metallurgical equipment and technology. Now, he is undertaking two research projects supported by the National Natural Science Foundation of China (NSFC), and participating the National Key R&D Program of China.

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Zeng, G., Zhao, C., Yu, X. et al. Life extension analysis of high speed ball bearing based on multi-parameter coupling. J Mech Sci Technol 35, 1569–1581 (2021). https://doi.org/10.1007/s12206-021-0321-x

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  • DOI: https://doi.org/10.1007/s12206-021-0321-x

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