Skip to main content
Log in

Reliability analysis of rolling bearings considering internal clearance

  • Original Article
  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

The internal clearance is a decisive parameter for life prediction and reliability analysis of rolling bearings. In this paper, a comprehensive reliability analysis model of rolling bearings is proposed by considering the internal clearance of rolling bearings. The model of bearings’ working clearance was established after investigating the effect mechanisms of effective interference, temperature, and centrifugal force on the clearance. The validation of the results is carried out by the reliability analysis of a real rolling bearing through the modeling of working clearance probability distribution and the research of life factor. The results indicate that the proposed methodology provides an additional reference way for the reliability analysis of rolling bearings.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Abbreviations

ΔGi :

Clearance variable caused by effective Interference

ΔGT :

Clearance variable caused by temperature

ΔGci :

Clearance variable caused by centrifugal force

ΔGw :

The variation of working clearance

G w :

Working clearance

H:

Heat

α :

Convection heat transfer coefficient

R:

Reliability

L:

Life

References

  1. J. S. Nam, H. E. Kim and K. U. Kim, A new accelerated zero-failure test model for rolling bearings under elevated temperature conditions, Journal of Mechanical Science and Technology, 27 (6) (2013) 1801–1807.

    Article  Google Scholar 

  2. J. Mi, Y. F. Li, W. Peng and H. Z. Huang, Reliability analysis of complex multi-state system with common cause failure based on evidential networks, ReliabilityEngineering & System Safety, 174 (2018) 71–81.

    Article  Google Scholar 

  3. J. Mi, M. Beer, Y. F. Li, M. Broggi and Y. Cheng, Reliability and importance analysis of uncertain system with common cause failures based on survival signature, Reliability Engineering & System Safety, 201 (2020).

  4. Y. F. Li, H. Z. Huang, J. Mi, W. Peng and X. Han, Reliability analysis of multi-state systems with common cause failures based on Bayesian network and fuzzy probability, Annals of Operations Research (2019).

  5. Q. Wang, Z. Bo, H. Ma, J. Chang and G. Mao, A method for rapidly evaluating reliability and predicting remaining useful life using two-dimensional convolutional neural network with signal conversion, Journal of Mechanical Science and Technology, 33 (6) (2019) 2561–2571.

    Article  Google Scholar 

  6. X. Gao, X. Huang, R. Hong, H. Wang and J. Chen, A rolling contact fatigue reliability evaluation method and its application to a slewing bearing, Journal of Tribology, 134 (1) (2012) 011101.

    Article  Google Scholar 

  7. X. Gao, X. Huang, H. Wang, R. Hong and J. Chen, Effect of raceway geometry parameters on the carrying capability and the service life of a four-point-contact slewing bearing, Journal of Mechanical Science and Technology, 24 (10) (2010) 2083–2089.

    Article  Google Scholar 

  8. H. Z. Huang, K. Yu, T. Huang, H. Li and H. M. Qian, Reliability estimation for momentum wheel bearings considering frictional heat, Eksploatacja I Niezawodnosc-Maintenance and Reliability, 22 (1) (2020) 6–14.

    Article  Google Scholar 

  9. H. K. Li, Z. X. Zhang, X. G. Li and Y. J. Ren, Reliability prediction method based on state space model for rolling element bearing, Journal of Shanghai Jiaotong University (Science), 3 (2015) 317–321.

    Article  Google Scholar 

  10. X. Xia, Z. Chang, L. Ye and Y. Li, Stability and reliability analysis of rolling bearing performance, Chinese Journal of Scientific Instrument, 38 (6) (2017) 1421–1431.

    Google Scholar 

  11. Y. Ying, J. Li, Z. M. Chen and J. Guo, Study on rolling bearing on-line reliability analysis based on vibration information processing, Computers & Electrical Engineering, 69 (2018) 842–851.

    Article  Google Scholar 

  12. J. M. Brandt, M. Benedek, J. S. Guerin and J. Fliege, Reliability-as-a-Service for bearing risk assessment investigated with advanced mathematical models, Internet of Things, 11 (2020) 100178.

    Article  Google Scholar 

  13. M. Yakout, A. Elkhatib and M. G. A. Nassef, Rolling element bearings absolute life prediction using modal analysis, Journal of Mechanical Science and Technology, 32 (1) (2018) 91–99.

    Article  Google Scholar 

  14. M. Yakout, M. G. A. Nassef and S. Backar, Effect of clearances in rolling element bearings on their dynamic performance, quality and operating life, Journal of Mechanical Science and Technology, 33 (5) (2019) 2037–2042.

    Article  Google Scholar 

  15. V. C. Tong and S. W. Hong, Modeling and analysis of double-row cylindrical roller bearings, Journal of Mechanical Science and Technology, 31 (7) (2017) 3379–3388.

    Article  MathSciNet  Google Scholar 

  16. H. Wang, J. Gong and G. Chen, Characteristics analysis of aero-engine whole vibration response with rolling bearing radial clearance, Journal of Mechanical Science and Technology, 31 (5) (2017) 2129–2141.

    Article  Google Scholar 

  17. F. B. Oswald, E. V. Zaretsky and J. V. Poplawski, Effect of internal clearance on load distribution and life of radially loaded ball and roller bearings, Tribology Transactions, 55 (2012) 245–265.

    Article  Google Scholar 

  18. G. Nan, M. Tang, E. Chen and A. Yang, Nonlinear dynamic mechanism of rolling element bearings with an internal clearance in a rotor-bearing system, Advances in Mechanical Engineering, 8 (2016) 1–9.

    Article  Google Scholar 

  19. X. Ren, J. Zhai and G. Ren, Calculation of radial load distribution on ball and roller bearings with positive, negative and zero clearance, International Journal of Mechanical Sciences, 131 (2017) 1–7.

    Google Scholar 

  20. L. B. Visnadi and H. F. de Castro, Influence of bearing clearance and oil temperature uncertainties on the stability threshold of cylindrical journal bearings, Mechanism and Machine Theory, 134 (2019) 57–73.

    Article  Google Scholar 

  21. Ž. Mišković, R. Mitrović and Z. Stamenić, Analysis of grease contamination influence on the internal radial clearance of ball bearings by thermographic inspection, Thermal Science, 20 (2016) 255–265.

    Article  Google Scholar 

  22. G. Chen and M. Qu, Modeling and analysis of fit clearance between rolling bearing outer ring and housing, Journal of Sound and Vibration, 438 (2019) 419–440.

    Article  Google Scholar 

  23. S. E. Deng, Q. Y. Jia and J. X. Xue, Design Principles of Rolling Bearings, Standards Press of China, Beijing, China (2014).

    Google Scholar 

  24. D. J. Cheng, T. J. Park and S. J. Kim, Improved friction model for the roller LM guide considering mechanics analysis, Journal of Mechanical Science and Technology, 32 (6) (2018) 2723–2734.

    Article  Google Scholar 

  25. E. Zheng, Y. Yang, Z. Peng, Y. Zhu, X. Zhao, X. Lin and M. Kang, Thermal characteristics analysis and error prediction for lubricated multi-link high-speed precision presses, Journal of Mechanical Science and Technology, 33 (6) (2019) 2537–2559.

    Article  Google Scholar 

  26. Y. J. Xue, Failure analysis and experimental study on temperature rise of high speed grease lubricated bearings, Journal of Machine Design, 25 (2008) 5–25.

    Google Scholar 

  27. J. Zhang, B. Fang, K. Yan and J. Hong, A novel model for high-speed angular contact ball bearing by considering variable contact angles, Journal of Mechanical Science and Technology, 34 (2) (2020) 809–816.

    Article  Google Scholar 

  28. G. Zeng, C. Zhao, X. Yu, Y. Yin, Z. Xiao and Y. Feng, Analysis of high speed bearing based on virtual rods model, Journal of Mechanical Science and Technology, 34 (5) (2020) 2133–2143.

    Article  Google Scholar 

  29. T. A. Harris and M. N. Kotzalas, Rolling Bearing Analysis, CRC Press: Boca Raton, FL (2007).

    Google Scholar 

  30. Z. J. Liu, S. Q. He and H. Liu, Rolling Bearing Applications, China Machine Press, Beijing, China (2014).

    Google Scholar 

  31. Z. W. An, H. Z. Huang and Y. Liu, A discrete stress-strength interference model based on universal generating function, Reliability Engineering & System Safety, 93 (10) (2008) 1485–1490.

    Article  Google Scholar 

  32. F. Lin, C. Chen, J. Chen and M. Chen, Accuracy analysis of spatial multiloop mechanism effected by paired bearings support joint clearance, Journal of Mechanical Science and Technology, 34 (3) (2020) 987–1003.

    Article  Google Scholar 

  33. D. Xu, Research on residual fatigue life analysis and prediction of ball bearings, Ph.D. Dissertation, National University of Defense Technology (2011).

Download references

Acknowledgments

This research was supported by the National Natural Science Foundation of China (No. 51875089) and National Science and Technology Major Project (No. 2017-IV-0009-0046).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hong-Zhong Huang.

Additional information

Aodi Yu is currently a Ph.D. candidate in the School of Mechanical and Electrical Engineering, at the University of Electronic Science and Technology of China. Her main research interests include fatigue life prediction and reliability modeling and analysis.

Hong-Zhong Huang is a Professor and Director of the Center for System Reliability and Safety, at the University of Electronic Science and Technology of China. He has held visiting appointments at several universities in the USA, Canada and Asia. He received a Ph.D. degree in Reliability Engineering from Shanghai Jiaotong University, China. And he has published 200 journal papers and 5 books in fields of reliability engineering, optimization design, fuzzy sets theory, and product development. His main research interests include reliability design, optimization design, condition monitoring, fault diagnosis, and life prediction.

He Li is currently a Ph.D. candidate in the School of Mechanical and Electrical Engineering, at the University of Electronic Science and Technology of China. His main research interests are failure and risk analysis, reliability and availability estimation.

Yan-Feng Li is an Associate Professor in the School of Mechanical and Electrical Engineering, University of Electronic Science and Technology of China, Chengdu, China. He received his Ph.D. degree in Mechatronics Engineering from the University of Electronic Science and Technology of China. He has published over 30 peer-reviewed papers in international journals and conferences. His research interests include reliability modeling and analysis of complex systems, dynamic fault tree analysis, and Bayesian networks modeling and probabilistic inference.

Song Bai is currently a Ph.D. candidate in the School of Mechanical and Electrical Engineering, at the University of Electronic Science and Technology of China. His main research interests are fatigue life prediction and reliability analysis.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yu, A., Huang, HZ., Li, H. et al. Reliability analysis of rolling bearings considering internal clearance. J Mech Sci Technol 34, 3963–3971 (2020). https://doi.org/10.1007/s12206-020-2206-9

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-020-2206-9

Keywords

Navigation