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An analytical model to investigate skidding in rolling element bearings during acceleration

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Abstract

Skidding, which occurs in rolling element bearings during shaft rotational acceleration, causes wear and incipient failure. This paper presents an analytical model to investigate skidding during rolling element bearing acceleration, taking account of the contact force and friction force between the rolling elements and the races and the cage, gravity, and the centrifugal force of the rolling elements. The Hertzian contact theory is applied to calculate the non-linear contact force. The Coulomb friction law is used to calculate the friction force. All forces above are included in force equilibrium equations to derive the non-linear governing equations of the bearing during acceleration, and are solved using a fourth-order Runge-Kutta algorithm with fixed time step. The proposed model is verified by comparison to other published results and with experimental results. The proposed model can be used to investigate skidding in rolling element bearings during acceleration and the transient motion behavior of rolling elements, and it will lay the theoretical foundations for eliminating skidding in rolling element bearings.

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Authors and Affiliations

  1. State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing, 400030, China

    Wenbing Tu & Yimin Shao

  2. Department of Mechanical and Materials Engineering, Queen’s University, K7L 3N6, Kingston, Canada

    Chris K. Mechefske

Authors
  1. Wenbing Tu
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  2. Yimin Shao
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  3. Chris K. Mechefske
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Corresponding author

Correspondence to Yimin Shao.

Additional information

Recommended by Associate Editor Ohseop Song

Wenbing Tu, born in 1983, is currently a Ph.D student of Chongqing University, People’s Republic of China. He conducts research in the areas of structural dynamics and numerical simulation, vibration and noise of mechanical system.

Yimin Shao is a full Professor in the State Key Laboratory of Mechanical Transmission at Chongqing University, Chongqing, China. His research interests include machine dynamic analysis, vibration analysis, signal processing and on-line machinery condition monitoring and fault diagnosis system.

Chris K. Mechefske is a full Professor in the Department of Mechanical and Materials Engineering at Queen’s University in Kingston, Ontario, Canada. His research interests include vibration based machine condition monitoring and fault diagnostics, maintenance and reliability, machine dynamic analysis, biomechanics of artificial limbs, vibration and noise reduction in and around biomedical equipment. He is a member of the editorial board of the Journal of Condition Monitoring and Diagnostic Engineering Management; Canadian Advisory Council, ISO Technical Committee 108, Sub-Committee 5; American Society of Mechanical Engineers; Canadian Machinery Vibration Association (past president 2003–2005); and the International Institute of Acoustics and Vibration (Director 2007–2009).

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Tu, W., Shao, Y. & Mechefske, C.K. An analytical model to investigate skidding in rolling element bearings during acceleration. J Mech Sci Technol 26, 2451–2458 (2012). https://doi.org/10.1007/s12206-012-0627-9

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  • DOI: https://doi.org/10.1007/s12206-012-0627-9

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