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Thermo-mechanical analysis of angular contact ball bearing

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Abstract

The thermal-mechanical character, which is difficult to ensure because of the lack of a corresponding theory and tool, has a significant effect on the dynamics of bearings. It even leads to a sudden failure of bearings in a working situation. In this research, a thermal deformation model was established, based on the analysis of temperature effect on the basic size of angular contact ball bearing. And the transmission from rolling size to bearing axial stiffness was explicit. On the basis of the variation of Hertz contact stiffness and the change of initial contact angle of angular contact ball bearing caused by temperature rise, a “Thermo- mechanical” model of bearing was proposed. According to this model, using the corresponding calculation procedure programmed by MATLAB, the effect of bearing temperature on the axial stiffness has been studied. And the correctness of this model was verified with experiments. Some design suggestions have been made for the decision of bearing preload: to prevent the bearing failure caused by overheating.

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References

  1. Q. Liu and D. Li, Current situation and prospect of key technologies of domestic NC machine tool, Aeronautical Manufacturing Technology, 2010 (10) 26–30.

    Google Scholar 

  2. E. Abele, Y. Altintas and C. Brecher, Machine tool spindle units, CIRP Annals -Manufacturing Technology, 59 (2) (2010) 781–802.

    Article  Google Scholar 

  3. A. Palmgren, Ball and roller bearing engineering, 4th Ed., Burkbank Philadelphia (1959).

    Google Scholar 

  4. A. B. Jones, Ball motion and sliding friction in ball bearings, J. of Basic Engineering, 81 (3) (1959) 1–12.

    Google Scholar 

  5. T. A. Harris, Rolling bearing analysis, 5th ed., New York, USA, Taylor & Francis (2007).

  6. W. Wang et al., Modeling angular contact ball bearing without raceway control hypothesis, Mechanism and Machine Theory, 82 (0) (2014) 154–172.

    Article  Google Scholar 

  7. J. Jedrzejewski and W. Kwasny, Modelling of angular contact ball bearings and axial displacements for high-speed spindles, CIRP Annals -Manufacturing Technology, 59 (1) (2010) 377–382.

    Article  Google Scholar 

  8. C. Zhao et al., Analysis contact angle of high-speed angular contact ball bearing, Bearing, 10 (2008) 1–4.

    Google Scholar 

  9. L. Wang et al., Solution of dynamic contact angles for angular contact ball bearings based on PSO algorithm, Bearing, 11 (2013) 6–9.

    Google Scholar 

  10. G. D. Hagiu and M. D. Gafitanu, Dynamic characteristics of high speed angular contact ball bearings, Wear, 211 (1) (1997) 22–29.

    Article  Google Scholar 

  11. B. Wang et al., Contact angular calculation and analysis of high-speed angular contact ball bearing, Transactions of the Chinese Society for Agricultural Machinery, 9 (2008) 174–178.

    Google Scholar 

  12. G. Chen, P. Jia and J. He, Effects of geometric parameters on static load capacity of a double-row four-point contact ball bearing, JMST, 27 (4) (2013) 1053–1061.

    Google Scholar 

  13. E. Ozturk et al., Investigation of spindle bearing preload on dynamics and stability limit in milling, CIRP Annals -Manufacturing Technology, 61 (1) (2012) 343–346.

    Article  Google Scholar 

  14. W. Tu, Y. Shao and C. K. Mechefske, An analytical model to investigate skidding in rolling element bearings during acceleration, JMST, 26 (8) (2012) 2451–2458.

    Google Scholar 

  15. J. S.-S. Wu, J.-C. Chang, G.-A. Tsai, C.-Y. Lin and F.-M. Ou, The effect of bending loads on the dynamic behaviors of a rolling guide, JMST, 26 (3) (2012) 671–680.

    Google Scholar 

  16. W. Hao, Z. Qiong, Z. Zhiming and A. Qi, Vibration analysis on the rolling element bearing-rotor system of an air blower, JMST, 26 (3) (2012) 653–659.

    Google Scholar 

  17. B. Bossmanns and J. F. Tu, A thermal model for high speed motorized spindles, International J. of Machine Tools and Manufacture, 39 (9) (1999) 1345–1366.

    Article  Google Scholar 

  18. X. Hu et al., Thermal characteristics analysis and experimental research of angular contact ball bearing, Journal of Xi’an Jiaotong University, 2 (2015) 106–110.

    Google Scholar 

  19. A. Zahedi and M. R. Movahhedy, Thermo-mechanical modeling of high speed spindles, Scientia Iranica, 19 (2) (2012) 282–293.

    Article  Google Scholar 

  20. T. Xu et al., A preload analytical method for ball bearings utilising bearing skidding criterion, Tribology International, 67 (0) (2013) 44–50.

    Article  Google Scholar 

  21. C. Lin, J. F. Tu and J. Kamman, An integrated thermomechanical-dynamic model to characterize motorized machine tool spindles during very high speed rotation, International J. of Machine Tools and Manufacture, 43 (10) (2003) 1035–1050.

    Article  Google Scholar 

  22. C. Jin, B. Wu and Y. Hu, Heat generation modeling of ball bearing based on internal load distribution, Tribology International, 45 (1) (2012) 8–15.

    Article  Google Scholar 

  23. T. Hu et al., Integrated thermo-mechanical model and analysis of angular contact ball bearing, J. of Sichuan University (Engineering Science Edition), 4 (2014) 189–198.

    Google Scholar 

  24. J. S. Nam, H. E. Kim and K. U. Kim, A new accelerated zerofailure test model for rolling bearings under elevated temperature conditions, JMST, 27 (6) (2013) 1801–1807.

    Google Scholar 

  25. Z. Xunlei et al., Precise calculation of angular contact ball bearing static stiffness, Bearing, 5 (1995) 2–5.

    Google Scholar 

  26. H. R. Hertz, Ueber die beruehrung elastischer koerper (On contact between elastic bodies), Gesammelte werke (Collected works), 1 (1895).

    Google Scholar 

  27. S. Timoshenko, Mechanics of materials, Science Press (1978).

    MATH  Google Scholar 

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Authors and Affiliations

  1. School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing, China

    Wei Bian, Zhenhua Wang, Juntang Yuan & Weiwei Xu

Authors
  1. Wei Bian
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  2. Zhenhua Wang
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  3. Juntang Yuan
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  4. Weiwei Xu
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Corresponding author

Correspondence to Zhenhua Wang.

Additional information

Wei Bian received the B.S. in Mechanical engineering from Nanjing University of Science and Technology in 2013. He is currently a Ph.D student at Nanjing University of Science and Technology, People’s Republic of China. He conducts research in the areas of structural dynamics, numerical simulation and precision predicting of feeding system.

Zhenhua Wang received the B.S. in Materials Processing Technology from NanChang HangKong University in 2001, the M.S. from GuangXi University in 2006, and the Ph.D. from Nangjing University of Science and Technology in 2010, respectively. He is currently an assistant Professor at the School of Mechanical Engineering at the Nangjing University of Science and Technology, China. His current research is focused on the advanced machining processes and machine tools.

Juntang Yuan is a doctoral tutor of Nanjing University of Science and Technology, China. He is the director of the 8th China Metal Cutting Tool Engineering Association, and a member of Non-Traditional Machining Institution of the Chinese Mechanical Engineering Society, and the secretary of the party committee in School of Mechanical Engineering of Nanjing University of Science and Technology, China.

Weiwei Xu received the B.S. in Mechanical engineering from Nanjing University of Science and Technology in 2014. He is currently aq graduate student at Nanjing University of Science and Technology. He is researching in double drive linear feeding system based on rolling slide composite guide in heavy machine tool.

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Bian, W., Wang, Z., Yuan, J. et al. Thermo-mechanical analysis of angular contact ball bearing. J Mech Sci Technol 30, 297–306 (2016). https://doi.org/10.1007/s12206-015-1233-4

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  • DOI: https://doi.org/10.1007/s12206-015-1233-4

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