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Research Article | Open Access

Reduction of friction by normal oscillations. II. In-plane system dynamics

Xinyu MAO1,2, Valentin L. POPOV1,3,4( ), Jasminka STARCEVIC1,4, Mikhail POPOV1,3,4
 Technische Universität Berlin, Berlin 10623, Germany
 Tsinghua University, Beijing 100084, China
 Tomsk Polytechnic University, Tomsk 634050, Russia
 Tomsk State University, Tomsk 634050, Russia
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Abstract

The influence of out-of-plane oscillations on friction is a well-known phenomenon that has been studied extensively with various experimental methods, e.g., pin-on-disk tribometers. However, existing theoretical models have yet achieved only qualitative correspondence with experiment. Here we argue that this may be due to the system dynamics (mass and tangential stiffness) of the pin or other system components being neglected. This paper builds on the results of a previous study [19] by taking the stiffness and resulting dynamics of the system into account. The main governing parameters determining macroscopic friction, including a dimensionless oscillation amplitude, a dimensionless sliding velocity and the relation between three characteristic frequencies (that of externally excited oscillation and two natural oscillation frequencies associated with the contact stiffness and the system stiffness) are identified. In the limiting cases of a very soft system and a very stiff system, our results reproduce the results of previous studies. In between these two limiting cases there is also a resonant case, which is studied here for the first time. The resonant case is notable in that it lacks a critical sliding velocity, above which oscillations no longer reduce friction. Results obtained for the resonant case are qualitatively supported by experiments.

Keywords

sliding frictionout-of-plane oscillationstiffnesssystem dynamicsmacroscopic friction coefficient

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Friction
Volume 5 Issue 2,
June 2017
Pages 194-206
DOI: 10.1007/s40544-017-0146-x
Cite this article:
MAO X, POPOV VL, STARCEVIC J, et al. Reduction of friction by normal oscillations. II. In-plane system dynamics. Friction, 2017, 5(2): 194-206. https://doi.org/10.1007/s40544-017-0146-x

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Received: 31 August 2016
Revised: 24 December 2016
Accepted: 11 January 2017
Published: 20 April 2017
© The author(s) 2017

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.
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