Thermal-mechanical fully coupled analysis of high-speed angular contact ball bearings

Abstract

The thermal and mechanical properties of angular contact ball bearings are critical to their operating accuracy and service life. On the basis of the theory of dynamics and frictional heat generation, this work establishes a thermal-mechanical fully coupled model. The high-speed motion characteristics, temperature, and dynamic stiffness are analyzed, and the simulation results are compared with the theoretical calculation and experimental results. Then, the temperature and axial deformation of the bearings under different rotation speeds are analyzed, and the laws of mechanical and thermal characteristics of the bearings are obtained. Results show that an increase in the rotation speed of the inner ring causes the temperature of each component to increase, with the contact area of the balls showing the greatest increase in temperature. An increase in rotation speed also increases the axial deformation of the inner ring.

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Abbreviations

M :

Mass

C :

Damping

K :

Stiffness

P :

Load

C(T) :

Specific heat

K(T) :

Heat transfer

Q(T) :

Heat flow load

u :

Displacement

T :

Temperature

ω m :

Rotation angular velocity of ball

D b :

Diameter of ball

d m :

Pitch diameter

α i :

Contact angle of ball with inner raceway

α o :

Contact angle of ball with outer raceway

ω :

Angular velocity of inner ring

T :

Frictional stress

\(\dot y\) :

Slip rate

P f :

Friction energy dissipation rate

q :

Friction heat

f :

Proportion of frictional heat flowing into the first surface

η :

Coefficient of conversion of mechanical energy into thermal energy

k :

Thermal conductivity of lubricant

P r :

Prandtl number of lubricant

R e :

Reynolds number

u s :

Surface speed of cage

V 0 :

Kinematic viscosity of lubricating oil

T a :

Ambient temperature

k a :

Thermal conductivity of air

D o :

Outer diameter of bearing

u a :

Flow velocity of air

V a :

Kinematic viscosity of air

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Acknowledgments

This work is supported by the National Key Research and Development Program, China (2018YFB2000202).

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Authors

Corresponding author

Correspondence to Xuanyu Sheng.

Additional information

Lanwen Wang is a Ph.D. student in Department of Mechanical Engineering, Tsinghua University, Beijing, China. He received his B.E. degree in Shandong University (2019). His research interests include friction, heat transfer and lubrication of bearing.

Xuanyu Sheng is an Associate Professor in Department of Mechanical Engineering, Tsinghua University, Beijing, China. He received his Ph.D. in Tsinghua University (1998). His research interests include friction properties analysis of materials, structural design, seismic analysis and simulation.

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Wang, L., Sheng, X. & Luo, J. Thermal-mechanical fully coupled analysis of high-speed angular contact ball bearings. J Mech Sci Technol 35, 669–678 (2021). https://doi.org/10.1007/s12206-021-0127-x

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Keywords

  • Angular contact ball bearings
  • Dynamic stiffness
  • Thermal characteristics
  • Thermal-mechanical coupling