Analysis of the influence of radial clearance in a bearing on its operating modes, taking into account mass and magnetic imbalance of the induction motor rotor

Authors

DOI:

https://doi.org/10.31891/2079-1372-2025-116-1-19-26

Keywords:

Bearing internal clearance, Induction motor, Unbalanced magnetic pull, Mass eccentricity, Bearing vibration

Abstract

The article studies the problem of the journal motion of a three-phase induction motor rotor in a bearing. A simplified model of the journal motion is studied at the moment of journal separation and transition from the pendulum mode of journal motion to the impact mode. In this case, the elastic-damping properties of the bearing and the final rigidity of the rotor are ignored. The model takes into account the eccentricity of the rotor mass and the radial internal clearance of the bearing. In addition, the forces of unbalanced magnetic pull (UMP) caused by the magnetic eccentricity of the induction motor rotor, which is caused by the radial clearance of the bearing, are taken into account. It is analytically shown that the forces of UMP cannot be ignored, since even the rated clearance of bearings of low- and medium-power motors causes an unbalanced force commensurate with the force caused by the eccentricity of the mass.  It is shown that without taking into account the UMP, an increase in the radial clearance leads to a decrease in the critical separation speed.

References

Report of Large Motor Reliability Survey of Industrial and Commercial Installations: Part 3. IEEE Trans. Ind. Appl. 1987, IA-23, 153–158. https://doi.org/10.1109/TIA.1987.4504880

Huang, L., Shen, G., Hu, N., Chen, L., & Yang, Y. (2022). Coupled Electromagnetic-Dynamic Modeling and Bearing Fault Characteristics of Induction Motors considering Unbalanced Magnetic Pull. Entropy, 24(10), 1386. https://doi.org/10.3390/e24101386

Petryna, J., Duda, A., & Sułowicz, M. (2021). Eccentricity in induction machines—A useful tool for assessing its level. Energies, 14(7). https://doi.org/10.3390/en14071976

Lacey, S. J. (2008). An overview of bearing vibration analysis. Maintenance & asset management, 23(6), 32-42

Dorrell, D. G. (2011). Sources and characteristics of unbalanced magnetic pull in threephase cage induction motors with axial-varying rotor eccentricity, IEEE Trans. Ind. Appl., vol. 47, no. 1, pp. 12–24. https://doi.org/10.1109/ECCE.2009.5316545

Di, C., Bao, X., Wang, H., Lv, Q. and He, Y. (2015). Modeling and Analysis of Unbalanced Magnetic Pull in Cage Induction Motors With Curved Dynamic Eccentricity, IEEE Trans. Magn., vol. 51(8), p. 8106507. https://doi.org/10.1109/TMAG.2015.2412911

Ruf, A., Schröder, M., Putri, A. K., Konrad, R., Franck, D., and Hameyer K. (2016). Analysis and determination of mechanical bearing load caused by unbalanced magnetic pull, Int. J. Comput. Math. Electr. Electron. Eng., vol. 35, no. 2, pp. 728–743. https://doi.org/10.1108/COMPEL-03-2015-0111

Theory and practice of balancing technology. Edited by V. A. Shchepetilnikov. M. Mashinostroenie. 1973. 467 p. In Russian.

Xu, M., Shao, Y., Han, Y., Gu, F., & Ball, A. (2020). A Numerical Analysis of Internal Radial Clearances on Affecting Vibration of Rolling Element Bearings with Local Defects. In International Conference on Maintenance Engineering (pp. 1-13). Cham: Springer International Publishing. https://doi.org/10.1007/978-3-030-75793-9_1

Kurvinen, E., Viitala, R., Choudhury, T., Heikkinen, J., & Sopanen, J. (2020). Simulation of Subcritical Vibrations of a Large Flexible Rotor with Varying Spherical Roller Bearing Clearance and Roundness Profiles. Machines, 8(2), 28. https://doi.org/10.3390/machines8020028

Tian, Q., Flores, P., & Lankarani, H. M. (2018). A comprehensive survey of the analytical, numerical and experimental methodologies for dynamics of multibody mechanical systems with clearance or imperfect joints. Mechanism and Machine Theory, 122, 1-57. https://doi.org/10.1016/j.mechmachtheory.2017.12.002

Liu, C. S., Zhang, K., & Yang, R. (2007). The FEM analysis and approximate model for cylindrical joints with clearances. Mechanism and machine theory, 42(2), 183-197. https://doi.org/10.1016/j.mechmachtheory.2006.02.006

Dykha, O., Makovkin, O., & Posonsky, S. (2021). Influence of lubrication on the friction and wear of car rolling bearings. Problems of Tribology, 26(3/101), 81–88. https://doi.org/10.31891/2079-1372-2021-101-3-81-88

Ambrożkiewicz, B., Syta, A., Georgiadis, A., Gassner, A., & Meier, N. (2022). Experimental Verification of the Impact of Radial Internal Clearance on a Bearing’s Dynamics. Sensors, 22(17), 6366. https://doi.org/10.3390/s22176366

Changqing, B., & Qingyu, X. (2006). Dynamic model of ball bearings with internal clearance and waviness. Journal of Sound and Vibration, 294(1-2), 23-48. https://doi.org/10.1016/j.jsv.2005.10.005

Luo, W., Yan, C., Liu, Y., Wang, Z., Tian, Y., & Wu, L. (2024). Dynamic response of rolling element bearing with compound fault considering defect-rolling-element interaction. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 238(4), 879-894. https://doi.org/10.1177/09544062231179076

Liu, J., Xue, L., Wang, L., Shi, Z., & Xia, M. (2023). A new impact model for vibration features of a defective ball bearing. ISA transactions, 142, 465-477. https://doi.org/10.1016/j.isatra.2023.08.014

Nirwan, N. W., & Ramani, H. B. (2022). Condition monitoring and fault detection in roller bearing used in rolling mill by acoustic emission and vibration analysis. Materials Today: Proceedings, 51, 344-354. https://doi.org/10.1016/j.matpr.2021.05.447

Guo, B., Wu, W., Zheng, J., He, Y., & Zhang, J. (2023). Dynamics modeling and analysis of rolling bearings variable stiffness system with local faults. Machines, 11(6), 609. https://doi.org/10.3390/machines11060609

Goroshko A. V., Zembytska M. V., Paiuk V. P. (2024). Induction motor vibrations caused by mechanical and magnetic rotor eccentricity. Journal of Engineering Sciences (Ukraine), Vol. 11(1), pp. D66–D77. https://doi.org/10.21272/jes.2024.11(1).d8

Liu, Y, Chen, Z, Hua, X, Zhai, W. (2022) Effect of rotor eccentricity on the dynamic performance of a traction motor and its support bearings in a locomotive. Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit. 236(9):1080-1090. https://doi.org/10.1177/09544097211072335

Dorrell, D. G., Hsieh, M., & Guo, Y. (2009). Unbalanced Magnet Pull in Large Brushless Rare-Earth Permanent Magnet Motors With Rotor Eccentricity. IEEE Transactions on Magnetics, 45, 4586-4589. https://doi.org/10.1109/TMAG.2009.2022338

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Published

2025-06-18

How to Cite

Goroshko, A., & Zembytska, M. (2025). Analysis of the influence of radial clearance in a bearing on its operating modes, taking into account mass and magnetic imbalance of the induction motor rotor. Problems of Tribology, 30(2/116), 19–26. https://doi.org/10.31891/2079-1372-2025-116-1-19-26

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