Reduction of friction by normal oscillations. I. Influence of contact stiffness

Mikhail Popov, V. L. Popov, V. N. Popov

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


The present paper is devoted to a theoretical analysis of sliding friction under the influence of oscillations perpendicular to the sliding plane. In contrast to previous works we analyze the influence of the stiffness of the tribological contact in detail and also consider the case of large oscillation amplitudes at which the contact is lost during a part of the oscillation period, so that the sample starts to “jump”. It is shown that the macroscopic coefficient of friction is a function of only two dimensionless parameters—a dimensionless sliding velocity and dimensionless oscillation amplitude. This function in turn depends on the shape of the contacting bodies. In the present paper, analysis is carried out for two shapes: a flat cylindrical punch and a parabolic shape. Here we consider “stiff systems”, where the contact stiffness is small compared with the stiffness of the system. The role of the system stiffness will be studied in more detail in a separate paper.

Original languageEnglish
Pages (from-to)45-55
Number of pages11
Issue number1
Publication statusPublished - 1 Mar 2017


  • active control of friction
  • coefficient of friction
  • contact stiffness
  • out-of-plane oscillation
  • sliding friction

ASJC Scopus subject areas

  • Mechanical Engineering
  • Surfaces, Coatings and Films

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