Dynamic mechanism modeling for dual-impulse behavior excited by a spall on outer race of ball bearing

Mao Lin Luo1, Yu Guo2

Kunming University of Science and Technology, Kunming, 650500, China

2Corresponding author

E-mail: 1master_lml@163.com, 2kmgary@163.com

Received 7 September 2017; accepted 14 September 2017

DOI https://doi.org/10.21595/vp.2017.19117


Abstract. Fatigure in rolling element bearings results in spalling of the raceways or rolling elements which is the most common bearing fault. The size of the spalling area, however, has close relationship with dual-impulse behavior produced by a localized surface spall. Based on the Hertzian contact theory and investigation of the excitation mechanism of dual-impulse behavior excited by a localized surface spall, a new coupled non-linear dynamic model of the ball bearing with a localized surface spall on outer race is developed, which considers the time-varying displacement and contact force excitation. The solution to the differential equations is obtained applying the Runge-Kutta numerical integral method. The time interval of dual-impulse behavior is investigated in this paper. Comparisons of the stimulated and theoretical results and the experimental and theoretical results show the effectiveness of the proposed model.

Keywords: localized surface spall, rolling element bearing, dual-impulse behavior, dynamic modeling.


[1]        Sawalhi N., Randall R. B. Vibration response of spalled rolling element bearings: Observations, simulations and signal processing techniques to track the spall size. Mechanical Systems and Signal Processing, Vol. 25, Issue 25, 2011, p. 846‑870.

[2]        Epps I. K. An Investigation into Vibrations Excited by Discrete Faults in Rolling Element Bearings. University of Canterbury Mechanical Engineering, 1991.

[3]        Ming A. B., Zhang W., Qin Z. Y., et al. Dual-impulse response model for the acoustic emission produced by a spall and the size evaluation in rolling element bearings. IEEE Transactions on Industrial Electronics, Vol. 62, Issue 10, 2015, p. 6606‑6615.

[4]        Sopanen J., Mikkola A. dynamic model of a deep groove ball bearing including localized and distributed defects, Part 1: Theory. Proceedings of the Institution of Mechanical Engineers Part K Journal of Multi-body Dynamics, Vol. 217, Issue 3, 2003, p. 201‑211.

[5]        Harris T. A. Rolling Bearing Analysis. John Wiley and Sons, New York, 2001.

[6]        Liu J., Shao Y., Lim T. C. Vibration analysis of ball bearings with a localized defect applying piecewise response function. Mechanism and Machine Theory, Vol. 56, Issue 1, 2012, p. 156‑169.

[7]        Patel V. N., Pandey R. K., Tandon N. A dynamic model for vibration studies of deep groove ball bearings considering single and multiple defects in races. Journal of Tribology, Vol. 132, Issues 4‑2010, 41101, p. 411101‑10.

[8]        Arslan H., Aktürk N. An investigation of rolling element vibrations caused by local defects. Journal of Tribology, Vol. 130, Issue 4, 2008, p. 1‑12.

[9]        Sunnersjö C. Varying compliance vibrations of rolling bearings. Journal of Sound and Vibration, Vol. 58, Issue 3, 1978, p. 363‑373.

Cite this article

Luo Mao Lin, Guo Yu Dynamic mechanism modeling for dual‑impulse behavior excited by a spall on outer race of ball bearing. Vibroengineering PROCEDIA, Vol. 14, 2017, p. 57‑63.


© JVE International Ltd. Vibroengineering PROCEDIA. Oct 2017, Vol. 14. ISSN 2345-0533