Journal of Failure Analysis and Prevention

, Volume 14, Issue 6, pp 809–817 | Cite as

Vibration Modeling of Lubricated Rolling Element Bearing Considering Skidding in Loaded Zone

Technical Article---Peer-Reviewed

Abstract

Wear and incipient failure of the components of the rolling element bearing can be caused by the skidding when the rolling element enters into the loaded zone. Understanding the vibrations of the rolling element bearings caused by the skidding in the loaded zone is very useful for their maintenance. In this work, a dynamic model is proposed to investigate the skidding of a lubricated rolling element bearing under radial load when the rolling element enters into the loaded zone. The nonlinear contact forces, the lubrication oil film, the friction force between the rolling element and the races, the centrifugal force of the rolling elements, and the gravity is considered in this study, as well as the friction force between the rolling element and the cage. The proposed model is applied to investigate the effects of the lubrication oil film, the radial load, and the inner race speed on vibrations of the bearing. The numerical results from the proposed model are compared with those from the current model in the literature. It is shown that the proposed method provides a more accurate approach describing the real vibrations of the rolling element bearing caused by the skidding in the loaded zone.

Keywords

Skidding Lubrication oil film Loaded zone Rolling element bearing 

Nomenclature

ω

Angular speed, rad/s

W

Radial load, N

R

Radius, mm

Rm

Bearing pitch radius, mm

ψr

Angular position of rolling element, rad

ψ

Rotational angle of rolling element about bearing axis, rad

ψc

Rotational angle of cage, rad

ψl

Load zone, rad

F

Friction force, N

N

Normal force, N

Fω

Centrifugal force, N

Kc

Contact stiffness between rolling element and cage, N/m

K

Contact stiffness coefficient between rolling element and race, N/m n

Nb

Number of rolling element

Jr

Inertia of rolling element

mr

Mass of rolling element, kg

Gr

Gravity of rolling element, N

δ

Radial deformation of inner race, m

δi

Deformation between rolling element and inner race, m

δo

Deformation between rolling element and outer race, m

u

Friction coefficient between rolling element and races

uc

Friction coefficient between rolling element and cage

Notes

Acknowledgments

The authors are grateful for the financial support provided by the National Natural Science Key Foundation of China under Contract No. 51035008.

References

  1. 1.
    A.B. Jones, Ball motion and sliding friction in ball bearing. ASME Trans. 81, 1–12 (1959)Google Scholar
  2. 2.
    D. Dowson, G.R. Higginson, Theory of Roller Bearing Lubrication on Lubrication and Wear, vol. 19 (Institution of Mechanical Engineers, London, 1963), pp. 216–227Google Scholar
  3. 3.
    T.A. Harris, An analytical model to predict skidding in high speed roller bearings. ASME Trans. 9, 229–241 (1966)Google Scholar
  4. 4.
    C.F. Smith, Some aspects of the performance of high-speed lightly-loaded cylindrical roller bearing. Proc. Inst. Mech. Eng. 176(1), 566–601 (1962)CrossRefGoogle Scholar
  5. 5.
    R.J. Boness, C.R. Gentle, Ball motion in thrust loaded ball bearings. Wear 35, 131–148 (1975)CrossRefGoogle Scholar
  6. 6.
    F. Hirano, Motion of a ball in angular-contact ball bearing. ASLE Trans. 8, 425–434 (1965)Google Scholar
  7. 7.
    R.J. Boness, Minimum load requirements for the prevention of skidding in high speed thrust loaded ball bearings. ASME J. Lubr. Technol. 103, 35–39 (1981)Google Scholar
  8. 8.
    N.T. Liao, L.F. Lin, Ball bearing skidding under radial and axial loads. Mech. Mach. Theory 37, 91–113 (2002)CrossRefGoogle Scholar
  9. 9.
    E. Laniado-Jacome, J. Meneses-Alonso, V. Diaz-Lopez, A study of sliding between rollers and races in a roller bearing with a numerical model for mechanical event simulations. Tribol. Int. 43(11), 2175–2182 (2010)CrossRefGoogle Scholar
  10. 10.
    S. Jain, H. Hunt, A dynamic model to predict the occurrence of skidding in wind-turbine bearings. J. Phys. 305(1), 012027 (2011)Google Scholar
  11. 11.
    SKF, Bearing Failure and Their Causes (Palmeblads Tryckeri AB, Sweden, 1994)Google Scholar
  12. 12.
    Y.M. Shao, W.B. Tu, Z.G. Chen, Z.J. Xie, B.Y. Song, Investigation on skidding of rolling element bearing in loaded zone. J. Harbin Inst. Technol. (New Series) 20(1), 34–41 (2013)Google Scholar
  13. 13.
    Singh, K.P., Paul B.: Stress concentration in crowned roller. Trans. ASME J. Eng. Ind., ASME paper, 74-WA/DE-8 (1974)Google Scholar
  14. 14.
    L. Nayak, K.L. Johson, Pressure between elastic bodies having a slender area of contact and arbitrary profiles. Int. J. Mech. Sci. 21(4), 237–247 (1979)CrossRefGoogle Scholar

Copyright information

© ASM International 2014

Authors and Affiliations

  1. 1.China Jialing Industrial Co., Ltd. (Group)ChongqingPeople’s Republic of China
  2. 2.State Key Laboratory of Mechanical TransmissionChongqing UniversityChongqingPeople’s Republic of China

Personalised recommendations