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.
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
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.
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.
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).
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).
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
S. E. Deng, Q. Y. Jia and J. X. Xue, Design Principles of Rolling Bearings, Standards Press of China, Beijing, China (2014).
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.
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.
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.
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.
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.
T. A. Harris and M. N. Kotzalas, Rolling Bearing Analysis, CRC Press: Boca Raton, FL (2007).
Z. J. Liu, S. Q. He and H. Liu, Rolling Bearing Applications, China Machine Press, Beijing, China (2014).
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.
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.
D. Xu, Research on residual fatigue life analysis and prediction of ball bearings, Ph.D. Dissertation, National University of Defense Technology (2011).
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
Corresponding author
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
About this article
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
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12206-020-2206-9