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

M. POPOV; V. L. POPOV; N. V. POPOV

doi:10.1007/s40544-016-0136-4

Friction 2017, 5(1): 45-55 https://doi.org/10.1007/s40544-016-0136-4

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Open Access | Issue | Published: 07 March 2017

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

Show Author's Information Hide Author's Information M. POPOV^{¹^,²^,³}(

), V. L. POPOV^{¹^,²^,³}, N. V. POPOV^¹

¹ Berlin University of Technology, Berlin 10623, Germany

² Tomsk Polytechnic University, Tomsk 634050, Russia

³ Tomsk State University, Tomsk 634050, Russia

Keywords:

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

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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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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.

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

Show Author's information Hide Author's Information M. POPOV^{¹^,²^,³}(

), V. L. POPOV^{¹^,²^,³}, N. V. POPOV^¹

¹ Berlin University of Technology, Berlin 10623, Germany

² Tomsk Polytechnic University, Tomsk 634050, Russia

³ Tomsk State University, Tomsk 634050, Russia

Abstract

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

References(32)

[1]

Eaves A, Smith A, Waterhouse W, Sansome D. Review of the application of ultrasonic vibrations to deforming metals. Ultrasonics 13(4): 162-170 (1975)

DOI Google Scholar

[2]

Siegert K, Ulmer J. Superimposing ultrasonic waves on the dies in tube and wire drawing. J Eng Mater Technol 123(4): 517 (2001)

DOI Google Scholar

[3]

Murakawa M. The utility of radially and ultrasonically vibrated dies in the wire drawing process. J Mater Process Technol 113(1–3): 81-86 (2001)

DOI Google Scholar

[4]

Ashida Y, Aoyama H. Press forming using ultrasonic vibration. J Mater Process Technol 187–188: 118-122 (2007)

DOI Google Scholar

[5]

Fridman H D, Levesque P. Reduction of static friction by sonic vibrations. J Appl Phys 30(10): 1572 (1959)

DOI Google Scholar

[6]

Pohlman R. Influence of ultrasonic vibration on metallic friction. Ultrasonics 4: 178-185 (1966)

DOI Google Scholar

[7]

Godfrey D. Vibration reduces metal to metal contact and causes an apparent reduction in friction. Tribol Trans 10(2): 183-192 (1967)

DOI Google Scholar

[8]

Lenkiewicz W. The sliding friction process—Effect of external vibrations. Wear 13(2): 99-108 (1969)

DOI Google Scholar

[9]

Tolstoi D M. Significance of the normal degree of freedom and natural normal vibrations in contact friction Wear 10(3): 199-213 (1967)

DOI Google Scholar

[10]

Schmidt J. A note on the contact problem in an ultrasonic travelling wave motor. Int J Non-Linear Mech 31(6): 915-924 (1996)

DOI Google Scholar

[11]

Storck H, Littmann W, Wallaschek J, Mracek M. The effect of friction reduction in presence of ultrasonic vibrations and its relevance to travelling wave ultrasonic motors. Ultrasonics 40(1–8): 379-383 (2002)

DOI Google Scholar

[12]

Socoliuc A, Gnecco E, Maier S, Pfeiffer O, Baratoff A, Bennewitz R, Meyer E. Atomic-scale control of friction by actuation of nanometer-sized contacts. Science 313(5784): 207-210 (2006)

DOI Google Scholar

[13]

Guo W, Yin J, Qiu H, Guo Y, Wu H, Xue M. Friction of low-dimensional nanomaterial systems. Friction 2(3): 209-225 (2014)

DOI Google Scholar

[14]

Chowdhury M, Helali M. The effect of amplitude of vibration on the coefficient of friction for different materials. Tribol Int 41 (4): 307-314 (2008)

DOI Google Scholar

[15]

Popov V L, Starcevic J, Filippov A E. Influence of ultrasonic in-plane oscillations on static and sliding friction and intrinsic length scale of dry friction processes. Tribol Lett 39: 25-30 (2010)

DOI Google Scholar

[16]

Teidelt E, Starcevic J, Popov V L. Influence of ultrasonic oscillation on static and sliding friction. Tribol Lett 48: 51-62 (2012)

DOI Google Scholar

[17]

Teidelt E, Willert E, Filippov A E, Popov V L. Modeling of the dynamic contact in stick-slip microdrives using the method of reduction of dimensionality. Phys Mesomech 15(5–6): 287-292 (2012)

DOI Google Scholar

[18]

Nguyen H X, Teidelt E, Popov V L, Fatikow S. Dynamical tangential contact of rough surfaces in stick-slip microdrives: modeling and validation using the method of dimensionality reduction. Phys Mesomech 17(4): 304-310 (2014)

DOI Google Scholar

[19]

Starcevic J, Filippov A E. Simulation of the influence of ultrasonic in-plane oscillations on dry friction accounting for stick and creep. Phys Mesomech 15(5–6): 330-332 (2012)

DOI Google Scholar

[20]

Grzemba B, Pohrt R, Teidelt E, Popov V L. Maximum micro-slip in tangential contact of randomly rough self-affine surfaces. Wear 309(1): 256-258 (2014)

DOI Google Scholar

[21]

Milahin N, Starcevic J. Influence of the normal force and contact geometry on the static force of friction of an oscillating sample. Phys Mesomech 17(3): 228-231 (2014)

DOI Google Scholar

[22]

Milahin N, Li Q, Starčević J. Influence of the normal force on the sliding friction under ultrasonic oscillations. Facta Universitatis. Series: Mechanical Engineering 13(1): 27-32 (2015)

Google Scholar

[23]

Popov V L, Dimaki A, Psakhie S, Popov M. On the role of scales in contact mechanics and friction between elastomers and randomly rough self-affine surfaces. Sci Rep 5: 11139 (2015)

DOI Google Scholar

[24]

Popov V L. What does friction really depend on? Robust governing parameters in contact mechanics and friction. Phys Mesomech 19 (2): 115-122 (2016)

DOI Google Scholar

[25]

Popov V L, Heß M. Method of Dimensionality Reduction in Contact Mechanics and Friction. Berlin-Heidelberg (Germany): Springer, 2015.

DOI

[26]

Argatov I, Heß M, Pohrt R, Popov V L. The extension of the method of dimensionality reduction to non-compact and non-axisymmetric contacts. ZAMM-J Appl Math Mech 96(10): 1144-1155 (2016)

DOI Google Scholar

[27]

Popov V L. Kontaktmechanik und Reibung. Von der Nanotribologie bis zur Erdbebendynamik. 3. überarbeitete Auflage. Berlin-Heidelberg (Germany): Springer Vieweg, 2015.

DOI

[28]

Popov V L, Pohrt R, Heß M. General procedure for solution of contact problems under dynamic normal and tangential loading based on the known solution of normal contact problem. J Strain Analysis 51(4): 247-255 (2016)

DOI Google Scholar

[29]

Milahin N. Robuste Einflussparameter für Reibung und Oberflächenmodifizierung unter Einfluss von Ultraschall. PhD thesis. Technische Universität Berlin, 2016.

[30]

Teidelt E. Oscillating contacts: Friction induced motion and control of friction. PhD thesis. Technische Universität Berlin, 2015.

[31]

Dudko O K, Popov V L, Putzar G. Tribospectroscopy of randomly rough surfaces. Tribol Int 39(5): 456-460 (2006)

DOI Google Scholar

[32]

Mao X, Popov V L, Starcevic J, Popov M. Reduction of friction by normal oscillations. II. In-plane system dynamics. Friction, accepted (2017)

DOI

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Acknowledgements

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Publication history

Received: 04 June 2016

Revised: 25 September 2016

Accepted: 29 November 2016

Published: 07 March 2017

Issue date: March 2017

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Acknowledgements

This work was supported in part by the Ministry of Education of the Russian Federation, by COST Action MP1303 and the Deutsche Forschungsgemeinschaft.

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