A new model for spall-rolling-element interaction

G. Kogan, J. Bortman, R. Klein

Research output: Contribution to journalArticlepeer-review

31 Scopus citations


Evaluation of the spall size of a radially loaded rolling-element bearing is required for the assessment of the bearing damage severity and estimation of its remaining useful life. A new multi-body, nonlinear dynamic model of the interaction between the rolling-element and a spalled outer race is presented. The study focuses on the physics of rolling-element contact in a broader range of spall sizes than has been investigated to date, with intermittent contact between rolling-element and the outer race, which is a relevant defect size for diagnostics and prognosticsquery. The analysis is performed in several time intervals according to periods of rolling-element/race contact and periods when the rolling-element is not connected with the outer race. An explicit expression of the spall size as function of the time-to-impact has been developed by considering radial load, shaft speed, and gravity. The expression of the spall size was used in a sensitivity study of the effect of parameters such as geometry and radial load. The results obtained from the new model are in good agreement with a well-established general bearing model.

Original languageEnglish
Pages (from-to)219-236
Number of pages18
JournalNonlinear Dynamics
Issue number1
StatePublished - 1 Jan 2017


  • Contact model
  • Localized surface defect
  • Nonlinear dynamics
  • Rolling-element bearing
  • Spall size
  • Vibration response

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Aerospace Engineering
  • Ocean Engineering
  • Mechanical Engineering
  • Applied Mathematics
  • Electrical and Electronic Engineering


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