The problem of mathematical simulation of rolling friction

  • V. I. BakhshalievEmail author


The process of friction of a cylinder (roller) rolling over a cylindrical surface (bearing) is studied; the hypothesis is advanced that the local slip of elements of the roller surface can be replaced with relative microdisplacements of these components within the local plastic compression area. The equation of the profile of local plastic compression of the contact surface between the roller and the bearing is introduced. It yields an expression for determination of the moment of resistance to rolling, the rolling friction coefficient, and the length of the roller’s local plastic compression.

Key words

rolling friction roller bearing contact deformation moment of resistance to rolling rolling friction coefficient 


  1. 1.
    Pinegin, S.V., Trenie kacheniya v mashinakh i priborakh (Rolling Friction in Machines and Devices), Moscow: Mashinostroenie, 1976.Google Scholar
  2. 2.
    Goryacheva, I.G. and Dobychin, M.N., Interference of Contact Spots under Rugged Bodies Contact, Tren. Iznos, 1980, issue 1, no. 2, pp. 341–349.Google Scholar
  3. 3.
    Bowden, F.P. and Tabor, G., The Friction and Lubrication of Solids, Oxford: Clarendon Press, 1950; Moscow: Mashinostroenie, 1960.Google Scholar
  4. 4.
    Johnson, K.L., Contact Mechanics, Cambridge: Cambridge University Press; 1985; Moscow: Mir, 1989.zbMATHGoogle Scholar
  5. 5.
    Darkov, A.V. and Shpiro, G.S., Soprotivlenie materialov (The Strength of Materials), Moscow: Vysshaya shkola, 1989.Google Scholar
  6. 6.
    Kolchin, N.I., Mekhanika mashin (Machines Mechanics), Leningrad: Mashinostroenie, 1972, vol. 2.Google Scholar
  7. 7.
    Bakhshaliev, V.I., The Way to Determine the Frictional Torque of the Base Rolling Bearing under Alternating Load, Tren. Iznos, 2005, vol. 26, no. 5, pp. 539–545.Google Scholar

Copyright information

© Allerton Press, Inc. 2009

Authors and Affiliations

  1. 1.Azerbaijan Technical UniversityBakuAzerbaijan

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