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      Active control of friction by transverse oscillations

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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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          Most cited references 29

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          Self-Excited Oscillations of Two Elastic Half-Spaces Sliding With a Constant Coefficient of Friction

           G Adams (1995)
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            Significance of the normal degree of freedom and natural normal vibrations in contact friction

             D.M. Tolstoi (1967)
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              The effect of friction reduction in presence of ultrasonic vibrations and its relevance to travelling wave ultrasonic motors.

              In many ultrasonic applications frictional effects play an important role (e.g. ultrasonic machining, ultrasonic motors). For optimising the applications in terms of quality, efficiency and lifetime it is important to understand the frictional coupling of the vibrating and the non-vibrating part. This contribution is devoted to give an explanation for the reduction of friction forces which is often observed when ultrasonic vibrations are superimposed to macroscopic motions. Usually adopted coefficients of friction are used for modelling such conditions suggesting special frictional mechanisms for high frequency oscillations, whereas the present paper shows that Coulomb's friction law provides a very good description of the observed phenomena if the kinematics of the system is taken into account. Two systems are investigated. In the first system the ultrasonic and macroscopic movements are parallel and in the second they are perpendicular to each other but also within the plane of contact. Both systems were investigated analytically and experimentally using a specially designed test rig. The measurements confirmed the analytically derived equations and therefore the validity of Coulomb's friction law even for ultrasonic conditions.
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                Author and article information

                Journal
                Tsinghua Science and Technology
                Friction
                Tsinghua University Press (Xueyuan Building, Tsinghua University, Beijing 100084, China )
                2223-7690
                05 February 2019
                : 07
                : 01
                : 74-85 (pp. )
                Affiliations
                [ 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
                Author notes
                * Corresponding authors: K. NAKANO, E-mail: nakano@ 123456ynu.ac.jp
                V. L. POPOV, E-mail: v.popov@ 123456tu-berlin.de

                Justus BENAD. He is a research assistant at the Berlin University of Technology where he obtained a Bachelor degree in Aerospace Engineering in 2015 and a Master degree in Engineering Science in 2017. He has work experience in the aerospace industry and in academic research and teaching. He is interested in a wide range of engineering disciplines, among them are numerical simulation methods, software development, tribology, fluid and solid mechanics, materials, gas turbines, aircraft design, and areodynamics. Recent projects he has worked on include the simulation of stresses in turbine blades, the preliminary design of a flying- wing aircraft, the development of a hydrofoil control system for racing sailboats, and the simulation of rolling noise of train wheels. He is a scholar of the German National Academic Foundation and has received awards from the Royal Aeronautical Society and the German Aerospace Center.

                Ken NAKANO. He is a full professor at Faculty of Environment and Information Sciences of Yokohama National University. He studied aeronautics and astronautics at University of Tokyo (1988-1997), and obtained his doctorate from University of Tokyo (1997). He worked at Department of Mechanical Engineering of Saitama University as an assistant professor (1997-2000). After working at Department of Mechanical Engineering of Yokohama National University as an associate professor (2000– 2015), he obtained a full professorship at Yokohama National University (2015). His areas of interest include tribo-physics (e.g., multiscale and multiphysics of solid friction), tribo-dynamics (e.g., stabilization mechanisms of tribosystems by breaking structural symmetry), and tribo-informatics (e.g., objective evaluation of tactile sensations). In 2015, from Japan Society of Mechanical Engineers (JSME), he was awarded with the JSME Medal for Outstanding Paper on the measurement error of friction coefficient generated by friction-induced vibration. He is the chair of the technical committee on tribo-dynamics of Japanese Society of Tribologists (JAST). He is also a board member of JAST.

                Valentin L. POPOV. He is a full professor at the Berlin University of Technology, studied physics (1976– 1982) and obtained his doctorate in 1985 from the Moscow State Lomonosov University. He worked at the Institute of Strength Physics of the Russian Academy of Sciences. After a guest professorship in the field of theoretical physics at the University of Paderborn (Germany) from 1999 to 2002, he has headed the department of System Dynamics and the Physics of Friction of the Institute of Mechanics at the Berlin University of Technology. His areas of interest include tribology, nanotribology, tribology at low temperatures, biotribology, the influence of friction through ultrasound, numerical simulation of frictional processes, research regarding earthquakes, as well as topics related to materials science such as the mechanics of elastoplastic media with microstructures, strength of metals and alloys, and shape memory alloys. He has published over 100 papers in leading international journals during the past 5 years. He is the author of the book “Contact Mechanics and Friction: Physical principles and applications” which appeared in three German, two English, Chinese, and Russian editions and co-author of the book on “Method of Dimensionality Reduction in Contact Mechanics and Friction” which appeared in German, English and Chinese editions. He is the joint editor of international journals and regularly organizes international conferences and workshops over diverse tribological themes. He is a member of the Scientific Council of the German Tribological Society. He has intensively collaborated with many industrial corporations and possesses experience in implementing the results of scientific research in industrial applications.

                Mikhail POPOV. He received a Bachelor degree in Computer Science from the Freie Universität Berlin in 2011 and a Master degree in Engineering Science from the Tomsk Polytechnic University and the Berlin University of Technology in 2016. Currently he is a doctoral student at the Berlin University of Technology and a research assistant at the Tomsk Polytechnic University. His research interests include efficient numerical methods in tribology, rubber friction, as well as friction and damping under the influence of oscillations.

                Article
                2223-7690-07-01-74
                10.1007/s40544-018-0202-1

                This work is licensed under a Creative Commons Attribution 4.0 Unported License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

                Page count
                Figures: 11, Tables: 0, References: 37, Pages: 12
                Categories
                Research Article

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