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Influences of wear on dynamic characteristics of angular contact ball bearings

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Abstract

Wear between balls and races has significant effects on the dynamic characteristics of bearing, which is the main reason to cause bearing failure. Some existing contact stiffness models were established to study the dynamic characteristics of bearing. However, the wear of bearing has been rarely investigated due to the complexities of contact load and wear mechanism. This paper presents a new dynamic wear simulation model of angular contact ball bearings mounted in pairs to solve this problem. A final contact stiffness model is established based on the wear model. The effects of running distance, horizontal load, preload, initial contact angle, number and diameter of balls on wear performances are analyzed. A generalized time-varying and piecewise-nonlinear dynamic model of angular contact ball bearings is established to perform an accurate investigation on its dynamic characteristics, especially considering the coupling effects of wear and rolling contact. The effects of wear on the contact stiffness and nonlinear dynamic characteristics are analyzed according to the dynamic model. Additionally, the variations of the contact stiffnesses and frequency responses with different preloads are discussed and the results indicate that parameter selection has significant effects on the wear and nonlinear response.

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References

  1. Sheng X, Li B, Wu Z, Li H (2014) Calculation of bearing speed-varying stiffness. Mech Mach Theory 81(11):166–180

    Article  ADS  Google Scholar 

  2. Akturk N, Uneeb M, Gohar R (1997) The effects of number of balls and preload on vibrations associated with ball bearings. J Tribol-Trans ASME 119(4):747–753

    Article  Google Scholar 

  3. Aktärk N, Gohar R (1998) The effect of ball size variation on vibrations associated with ball-bearings. Proc Inst Mech Eng Part J J Eng Tribol 212(2):101–110

    Article  Google Scholar 

  4. Alfares MA, Elsharkawy AA (2003) Effects of axial preloading of angular contact ball bearings on the dynamics of a grinding machine spindle system. J Mater Process Tech 136(1–3):48–59

    Article  Google Scholar 

  5. Hernot X, Sartor M, Guillot J (2000) Calculation of the stiffness matrix of angular contact ball bearings by using the analytical approach. J Mech Des 122(1):83–90

    Article  Google Scholar 

  6. Kang Y, Huang CC, Lin CS, Sheng PC, Chang YP (2006) Stiffness determination of angular-contact ball bearings by using neural network. Tribol Int 39(6):461–469

    Article  Google Scholar 

  7. Hagiu GD, Gafitanu MD (1997) Dynamic characteristics of high speed angular contact ball bearings. Wear 211(1):22–29

    Article  Google Scholar 

  8. Ali NJ, García JM (2010) Experimental studies on the dynamic characteristics of rolling element bearings. Proc Inst Mech Eng Part J J Eng Tribol 224(7):659–666

    Article  Google Scholar 

  9. Zhang J, Fang B, Zhu Y, Hong J (2017) A comparative study and stiffness analysis of angular contact ball bearings under different preload mechanisms. Mech Mach Theory 115:1–17

    Article  Google Scholar 

  10. Meeks CR, Bohner J (1986) Predicting life of solid-lubricated ball bearings. ASLE Trans 29(2):203–213

    Article  Google Scholar 

  11. Zhang T, Chen X, Jiaming GU, Wang ZL (2018) Influences of preload on the friction and wear properties of high-speed instrument angular contact ball bearings. Chin J Aeronaut 31(3):597–607

    Article  Google Scholar 

  12. Wang Y, Wang W, Zhang S, Zhao Z (2015) Investigation of skidding in angular contact ball bearings under high speed. Tribol Int 92:404–417

    Article  Google Scholar 

  13. Han Q, Chu F (2015) Nonlinear dynamic model for skidding behavior of angular contact ball bearings. J Sound Vib 354(1):219–235

    Article  ADS  Google Scholar 

  14. El-Thalji I, Jantunen E (2014) A descriptive model of wear evolution in rolling bearings. Eng Fail Anal 45(8):204–224

    Article  Google Scholar 

  15. Warhadpande A, Leonard B, Sadeghi F (2008) Effects of fretting wear on rolling contact fatigue life of M50 bearing steel. Proc Inst Mech Eng Part J J Eng Tribol 222(2):69–80

    Article  Google Scholar 

  16. El-Thalji I, Jantunen E (2015) Dynamic modeling of wear evolution in rolling bearings. Tribol Int 84(84):90–99

    Article  Google Scholar 

  17. Zhang J, Zhang H, Du C, Zhao W (2016) Research on the dynamics of ball screw feed system with high acceleration. Int J Mach Tool Manuf 111:9–16

    Article  Google Scholar 

  18. Bai C, Zhang H, Xu Q (2008) Effects of axial preload of ball bearing on the nonlinear dynamic characteristics of a rotor-bearing system. Nonlinear Dyn 53(3):173–190

    Article  MATH  Google Scholar 

  19. Wang W, Zhou Y, Wang H, Li C, Zhang Y (2019) Vibration analysis of a coupled feed system with nonlinear kinematic joints. Mech Mach Theory 134:562–581

    Article  Google Scholar 

  20. Liu CH, Chen XY, Gu JM, Jiang SN, Feng ZL (2009) High-speed wear lifetime analysis of instrument ball bearings. Proc Inst MechE Part J J Eng Tribol 223(3):497–510

    Article  Google Scholar 

  21. Zou HT, Wang BL (2015) Investigation of the contact stiffness variation of linear rolling guides due to the effects of friction and wear during operation. Tribol Int 92:472–484

    Article  Google Scholar 

  22. Telliskivi T (2004) Simulation of wear in a rolling–sliding contact by a semi-Winkler model and the Archard’s wear law. Wear 256(7–8):817–831

    Article  Google Scholar 

  23. Beheshti A, Khonsari MM (2013) An engineering approach for the prediction of wear in mixed lubricated contacts. Wear 308(1–2):121–131

    Article  Google Scholar 

  24. Hao L, Meng Y (2015) Numerical prediction of wear process of an initial line contact in mixed lubrication conditions. Tribol Lett 60(2):31

    Article  ADS  Google Scholar 

  25. Archard J (1953) Contact and rubbing of flat surfaces. J Appl Phys 24(8):981–988

    Article  ADS  Google Scholar 

  26. Rabinowicz E (1980) Wear coefficients-metals. In: Peterson MB, Winer WO (eds) Wear control handbook. The ASME United Engineering Center, New York, pp 475–506

    Google Scholar 

  27. Tu W, Shao Y, Mechefske CK (2012) An analytical model to investigate skidding in rolling element bearings during acceleration. J Mech Sci Technol 26(8):2451–2458

    Article  Google Scholar 

  28. Kalker JJ (2001) Rolling contact phenomena—linear elasticity. In: Jacobson B, Kalker JJ (eds) Rolling contact phenomena. CISM courses and lectures, New York, pp 1–84

    Google Scholar 

  29. Harris T (1991) Rolling bearing analysis, 3rd edn. John Wiley, New York, pp 125–128

    Google Scholar 

  30. Palmgren A (1959) Ball and roller bearing engineering, 3rd edn. Burbank, Philadelphia, pp 49–51

    Google Scholar 

  31. Wang H, Han Q, Luo R, Qing T (2017) Dynamic modeling of moment wheel assemblies with nonlinear rolling bearing supports. J Sound Vib 406:124–145

    Article  ADS  Google Scholar 

  32. Chandra NH, Sekhar AS (2014) Swept sine testing of rotor-bearing system for damping estimation. J Sound Vib 333(2):604–620

    Article  ADS  MathSciNet  Google Scholar 

  33. Dickrell DJ, Dooner DB, Sawyer WG (2003) The evolution of geometry for a wearing circular cam: analytical and computer simulation with comparison to experiment. J Tribol-Trans ASME 125(1):187–192

    Article  Google Scholar 

  34. Kim NH, Won D, Burris D, Holtkamp B, Gessel GR (2005) Finite element analysis and experiments of metal/metal wear in oscillatory contacts. Wear 258(11–12):1787–1793

    Article  Google Scholar 

  35. Park D, Kolivand M, Kahraman A (2012) Prediction of surface wear of hypoid gears using a semi-analytical contact model. Mech Mach Theory 52(52):180–194

    Article  Google Scholar 

  36. Shen X, Liu Y, Cao L, Chen X (2012) Numerical simulation of sliding wear for self-lubricating spherical plain bearings. J Mater Res Technol 1(1):8–12

    Article  Google Scholar 

Download references

Acknowledgements

We would like to express our appreciation to Chinese National Natural Science Foundation (U1708254) for supporting this research.

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Correspondence to Yimin Zhang.

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Gu, J., Zhang, Y. & Liu, H. Influences of wear on dynamic characteristics of angular contact ball bearings. Meccanica 54, 945–965 (2019). https://doi.org/10.1007/s11012-019-00996-3

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