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Motion stability analysis of cage of rolling bearing under the variable-speed condition

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Abstract

The fluctuation of the cage rotating speed will lead to the strong instability of the cage movement of the rolling bearing, which will seriously affect the operation performance and service life of the bearing. In this paper, a nonlinear dynamic model of a cylindrical roller bearing is established considering the dynamic contact relationship between the rollers, the raceways, and the cage. The variation of cage motion characteristics and its internal mechanism under the uniform, acceleration, deceleration, and harmonic speed fluctuation are discussed, respectively. The effects of angular acceleration, angular deceleration, amplitude, and period of fluctuation on cage stability are analyzed. The results show the unstable motion of the cage mainly happens at the initial stage of the acceleration process and the later stage of the deceleration process. Appropriate increases in angular acceleration and deceleration can help to improve the stability of the cage movement, but excessive speed fluctuations should be avoided to adversely affect the stability of the cage. The guiding force between the cage and the outer raceway plays an important role in the stability of the cage under variable-speed conditions. The results of this paper can provide a theoretical basis for the design and failure analysis of the cage.

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Data Availability Statements

The datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.

References

  1. Ryu, S. J., Choe, B. S., Lee, J. K. et al.: Correlation between friction coefficient and sound characteristics for cage instability of cryogenic deep groove ball bearings. In: Proceedings of the 9th IFToMM International Conference on Rotor Dynamics. Springer, Milan, 1921 (2015).

  2. Kingsbury, E. P.: Torque variations in instrument ball bearings. Tribol. Trans. (8), 435–441 (1965).

  3. Stevens, K. T.: Experimental observations on torque variation caused by bearing cage instabilities. In: Proceedings of the Second Space Tribology Workshop. Paris, p 101 (1980).

  4. Walters, C.T.: The Dynamics of ball bearings. J. Tribol. 93(1), 1–10 (1970)

    MathSciNet  Google Scholar 

  5. Kannel, J.W., Bupara, S.S.: A simplified model of cage motion in angular contact bearings operating in the EHD lubrication regime. J. Comp. Physiol. 100(3), 395 (1978)

    Google Scholar 

  6. Gupta, P.K.: Modeling of instabilities induced by cage clearances in ball bearings. Tribol. Trans. 34(1), 93–99 (1991)

    Article  Google Scholar 

  7. Boesiger, E.A., Donley, A.D., Loewenthal, S.: An analytical and experimental investigation of ball bearing retainer instabilities. J. Tribol. 114(3), 530–539 (1992)

    Article  Google Scholar 

  8. Nogi, T., Maniwa, K., Matsuoka, N.: A dynamic analysis of cage instability in ball bearings. J. Tribol. 140(1) (2018)

  9. Niu, L., Cao, H., He, Z., et al.: An investigation on the occurrence of stable cage whirl motions in ball bearings based on dynamic simulations. Tribol. Int. 103, 12–24 (2016)

    Article  Google Scholar 

  10. Neglia, S. G., Culla, A., Fregolent, A.: Bearing cage dynamics: cage failure and bearing life estimation. In: Conference proceedings of the society for experimental mechanics series, pp 491–504 (2016).

  11. Meeks, C.R.: The dynamics of ball separators in ball bearings—part 2: results of optimization study. ASLE Trans 28(3), 288–295 (1985)

    Article  Google Scholar 

  12. Yang, X., Liu, W., Li, X.: Dynamics analysis on cage of high speed roller bearing. Bearing (07), 1–5 (2002).

  13. Liu, W., Yang, X., Chen, G.: Collision model and motion analysis on cage of high speed roller bearing. Bearing (09), 4–8 (2003).

  14. Liu, X.: Dynamics analysis model of high-speed rolling bearings and dynamic performance of cage. Dalian University of Technology (2011).

  15. Zhang, T., Chen, X., Gu, J, et al.: Analysis on the unstable movement mechanism of high-speed angular contact ball bearing cages. J. Vibrat. Shock. 38(10), 233–241+268 (2019).

  16. Yao, T., Huang, Y., Wang, L.: Multibody contact dynamics for cylindrical roller bearing. J. Vibrat. Shock. 34(7), 15–23 (2015)

    Google Scholar 

  17. Choe, B., Lee, J., Jeon, D et al.: Experimental study on dynamic behavior of ball bearing cage in cryogenic environments, Part I: Effects of cage guidance and pocket clearances. Mech. Syst. Signal Process. 115 (2019).

  18. Choe, B., Kwak, W., Jeon, D et al.: Experimental study on dynamic behavior of ball bearing cage in cryogenic environments, Part II: Effects of cage mass imbalance. Mech. Syst. Signal Process. 116 (2019).

  19. Zeng, G., Bian, Q., Zhao, C., et al.: Analysis of stability and vibration characteristics of angular contact ball bearing cage under variable parameters. Chin. J. Eng. Des. 27(06), 735–743 (2020)

    Google Scholar 

  20. Tan, J., Chu, Z., Gu, Z. et al.: Analysis on stability of mass center trajectory for cages based on box dimension. Bearing (05), 37–40 (2014).

  21. Ghaisas, N., Wassgren, C.R., Sadeghi, F.: Cage instabilities in cylindrical roller bearings. J. Tribol. 126(4), 681–689 (2004)

    Article  Google Scholar 

  22. Pederson, B. M., Sadeghi, F., Wassgren, C.: The effects of cage flexibility on ball-to-cage pocket contact forces and cage instability in deep groove ball Bearings. Sae Technical Papers (2006)

  23. Deng, S., Gu, J., Cui, Y., et al.: Analysis on dynamic characteristics of cage in high-speed cylindrical roller bearing. J. Aerospace Power 29(1), 207–215 (2014)

    Google Scholar 

  24. Chen, L., Xia, X., Zheng, H. et al.: Chaotic dynamics of cage behavior in a high-speed cylindrical roller bearing. Shock and Vibration (3), 1–12 (2016)..

  25. Sharma, A., Amarnath, M., Kankar, P. K.: Nonlinear dynamic analysis of defective rolling element bearing using Higuchi’s fractal dimension. Sadhana: Academy Proceedings in Engineering Science 44(4) (2019).

  26. Sharma, A., Amarnath, M., Kankar, P. K.: Investigations on nonlinearity for health monitoring of rotor bearing system. In: Gupta, V., Varde, P., Kankar, P., Joshi, N. (eds.) Reliability and Risk Assessment in Engineering. Lecture Notes in Mechanical Engineering. Springer, Singapore (2020)

  27. Sharma, A., Amarnath, M., Kankar, P. K.: Effect of varying the number of rollers on dynamics of a cylindrical roller bearing. In: Proceedings of the ASME 2014 international design engineering technical conferences and computers and information in engineering conference (2014).

  28. Sharma, A., Amarnath, M., Kankar, P. K.: Effect of Unbalanced Rotor on the Dynamics of Cylindrical Roller Bearings. In: Proceedings of the 9th IFToMM International Conference on Rotor Dynamics (2015)

  29. Ye, Z.: Research on dynamic behavior of high-speed rolling bearings in aeroengines. Harbin Institute of Technology (2013).

  30. Yao, T., Wang, L., Liu, X., et al.: Dynamic stability analysis on the cage of ball bearing under varying working environment. J. Vibrat. Shock 35(18), 172–180 (2016)

    Google Scholar 

  31. Qu, C., Yang, Z., Xie, P. et al.: Simulation analysis of dynamic performance of ball bearing cage with variable speed operation. Bearing (05), 26–29 (2017).

  32. Zhang, Z., Wang, L., Zhang, C., et al.: Cage stability of ball bearings under variable working conditions. Chin. J. Eng. 41(11), 1458–1464 (2019)

    Google Scholar 

  33. Tu, W., He, H., Liu, L., et al.: Analysis on cage dynamic characteristic of angular contact ball bearing during deceleration. J. Mech. Trans. 43(08), 125–129 (2019)

    Google Scholar 

  34. Luo, Y., He, H.: Analysis on cage dynamic characteristic of angular contact ball bearing during acceleration. J. Mech. Strength 42(04), 907–912 (2020)

    Google Scholar 

  35. Shi, Z., Liu, J.: An improved planar dynamic model for vibration analysis of a cylindrical roller bearing. Mech. Mach. Theory 153, 103994 (2020)

    Article  Google Scholar 

  36. Gupta, P. K.: Transient ball motion and skid in ball bearings. J. Lubr. Technol. 97(2) (1975)

  37. Skurka, J.C.: Elastohydrodynamic lubrication of roller bearing. J. Lubr. Technol. 92(2), 281–288 (1970)

    Article  Google Scholar 

  38. Harris, T.A., Kotzalas, M.N.: Rolling Bearing Analysis. Taylor & Francis, Boca Raton (2007)

    Google Scholar 

  39. Han, Q., Wen, B., Wang, M., et al.: Investigation of cage motions affected by its unbalance in a ball bearing. J. Multi-body Dyn. 232(2), 169–182 (2018)

    Google Scholar 

  40. Hunt, K.H., Crossleyf, R.E.: Coefficient of restitution interpreted as damping in vibroimpact. J. Appl.Mech. Trans. ASME 42(2), 440–445 (1975)

    Article  Google Scholar 

  41. Gupta, P.K.: Advanced dynamic of rolling elements. Springer-Verlag, New York (1984)

    Book  Google Scholar 

  42. Chen, S., Chen, X., Li, Q., et al.: Experimental study on cage dynamic characteristics of angular contact ball bearing in acceleration and deceleration process. Tribol. Trans. 64(1), 42–52 (2021)

    Article  MathSciNet  Google Scholar 

  43. Gao, S., Han, Q., Zhou, N. et al.: Experimental and theoretical approaches for determining cage motion dynamic characteristics of angular contact ball bearings considering whirling and overall skidding behaviors. Mech. Syst. Signal Process. 168, 108704 (2022).

  44. Li, H., Hu, W., Deng, S., et al.: Study on cage stress of cylindrical roller bearing at stop stage. Mech. Sci. Technol. Aerospace Eng. 37(2), 8 (2018).

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Acknowledgements

The authors are grateful for the financial support provided by the National Natural Science Foundation of China under Contract No. 51965018, 52105086, and 52035002.

Funding

This research was funded by the National Natural Science Foundation of China (Grant Nos. 51965018, 52105086, 52035002).

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Authors and Affiliations

  1. School of Mechatronics and Vehicle Engineering, East China Jiaotong University, Nanchang, 330013, People’s Republic of China

    Wenbing Tu, Jie Liang & Chenlu Liu

  2. College of Mechanical Engineering, Southwest Jiaotong University, Chengdu, 610031, People’s Republic of China

    Jie Liang

  3. College of Mechanical and Vehicle Engineering, Chongqing University, Chongqing, 400044, People’s Republic of China

    Wennian Yu & Zhifeng Shi

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  1. Wenbing Tu
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Correspondence to Wennian Yu.

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Tu, W., Liang, J., Yu, W. et al. Motion stability analysis of cage of rolling bearing under the variable-speed condition. Nonlinear Dyn 111, 11045–11063 (2023). https://doi.org/10.1007/s11071-023-08432-8

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