, Volume 7, Issue 1, pp 74–85 | Cite as

Active control of friction by transverse oscillations

  • J. Benad
  • K. NakanoEmail author
  • V. L. PopovEmail author
  • M. Popov
Open Access
Research Article


The present paper is devoted to a theoretical analysis of sliding friction under the influence of in-plane oscillations perpendicular to the sliding direction. Contrary to previous studies of this mode of active control of friction, we consider the influence of the stiffness of the tribological contact in detail and show that the contact stiffness plays a central role for small oscillation amplitudes. In the present paper we consider the case of a displacement-controlled system, where the contact stiffness is small compared to the stiffness of the measuring system. It is shown that in this case the macroscopic coefficient of friction is a function of two dimensionless parameters—a dimensionless sliding velocity and dimensionless oscillation amplitude. In the limit of very large oscillation amplitudes, known solutions previously reported in the literature are reproduced. The region of small amplitudes is described for the first time in this paper.


sliding friction in-plane oscillation contact stiffness coefficient of friction active control of friction 



This work was supported in part by the program ACCEL of Japan Science and Technology Agency, the Deutsche Forschungsgemeinschaft and the Ministry of Education of the Russian Federation.


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Authors and Affiliations

  1. 1.Technische Universität BerlinBerlinGermany
  2. 2.Yokohama National UniversityYokohamaJapan
  3. 3.National Research Tomsk Polytechnic UniversityTomskRussia
  4. 4.National Research Tomsk State UniversityTomskRussia

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