Active control of friction by transverse oscillations

J. BENAD; K. NAKANO; V. L. POPOV; M. POPOV

doi:10.1007/s40544-018-0202-1

Friction 2019, 7(1): 74-85 https://doi.org/10.1007/s40544-018-0202-1

Research Article |

Open Access | Issue | Published: 16 March 2018

Active control of friction by transverse oscillations

Show Author's Information Hide Author's Information J. BENAD^¹, K. NAKANO^²(

), V. L. POPOV^{¹^,³}(

), M. POPOV^{¹^,³^,⁴}

¹ Technische Universität Berlin, Berlin 10623, Germany

² Yokohama National University, Yokohama 240-8501, Japan

³ National Research Tomsk Polytechnic University, Tomsk 634050, Russia

⁴ National Research Tomsk State University, Tomsk 634050, Russia

Keywords:

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

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BENAD J, NAKANO K, POPOV VL, et al. Active control of friction by transverse oscillations. Friction, 2019, 7(1): 74-85. https://doi.org/10.1007/s40544-018-0202-1

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Abstract

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.

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About this article

Active control of friction by transverse oscillations

Show Author's information Hide Author's Information J. BENAD^¹, K. NAKANO^²(

), V. L. POPOV^{¹^,³}(

), M. POPOV^{¹^,³^,⁴}

¹ Technische Universität Berlin, Berlin 10623, Germany

² Yokohama National University, Yokohama 240-8501, Japan

³ National Research Tomsk Polytechnic University, Tomsk 634050, Russia

⁴ National Research Tomsk State University, Tomsk 634050, Russia

Abstract

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

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Acknowledgements

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Publication history

Received: 06 September 2017

Accepted: 24 November 2017

Published: 16 March 2018

Issue date: February 2019

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Acknowledgements

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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This article is published with open access at Springerlink.com

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