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Research Article | Open Access

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

M. POPOV1,2,3( ), V. L. POPOV1,2,3, N. V. POPOV1
 Berlin University of Technology, Berlin 10623, Germany
 Tomsk Polytechnic University, Tomsk 634050, Russia
 Tomsk State University, Tomsk 634050, Russia
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Abstract

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.

Keywords

sliding frictionout-of-plane oscillationcontact stiffnesscoefficient of frictionactive control of friction

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Friction
Volume 5 Issue 1,
March 2017
Pages 45-55
DOI: 10.1007/s40544-016-0136-4

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POPOV M, POPOV VL, POPOV NV. Reduction of friction by normal oscillations. I. Influence of contact stiffness. Friction, 2017, 5(1): 45-55. https://doi.org/10.1007/s40544-016-0136-4

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Received: 04 June 2016
Revised: 25 September 2016
Accepted: 29 November 2016
Published: 07 March 2017
© The author(s) 2016

This article is published with open access at Springerlink.com

Open Access: The articles published in this journal are distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.