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

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...

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Main Authors: Xinyu Mao, Valentin L. Popov, Jasminka Starcevic, Mikhail Popov
Format: Article
Language:English
Published: SpringerOpen 2017-04-01
Series:Friction
Subjects:
Online Access:http://link.springer.com/article/10.1007/s40544-017-0146-x
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author Xinyu Mao
Valentin L. Popov
Jasminka Starcevic
Mikhail Popov
author_facet Xinyu Mao
Valentin L. Popov
Jasminka Starcevic
Mikhail Popov
author_sort Xinyu Mao
collection DOAJ
description 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.
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spelling doaj.art-83842d3f72474d5fa942bdba39d259d52022-12-22T01:42:50ZengSpringerOpenFriction2223-76902223-77042017-04-015219420610.1007/s40544-017-0146-xReduction of friction by normal oscillations. II. In-plane system dynamicsXinyu Mao0Valentin L. Popov1Jasminka Starcevic2Mikhail Popov3Technische Universität BerlinTechnische Universität BerlinTechnische Universität BerlinTechnische Universität BerlinAbstract 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.http://link.springer.com/article/10.1007/s40544-017-0146-xsliding frictionout-of-plane oscillationstiffnesssystem dynamicsmacroscopic friction coefficient
spellingShingle Xinyu Mao
Valentin L. Popov
Jasminka Starcevic
Mikhail Popov
Reduction of friction by normal oscillations. II. In-plane system dynamics
Friction
sliding friction
out-of-plane oscillation
stiffness
system dynamics
macroscopic friction coefficient
title Reduction of friction by normal oscillations. II. In-plane system dynamics
title_full Reduction of friction by normal oscillations. II. In-plane system dynamics
title_fullStr Reduction of friction by normal oscillations. II. In-plane system dynamics
title_full_unstemmed Reduction of friction by normal oscillations. II. In-plane system dynamics
title_short Reduction of friction by normal oscillations. II. In-plane system dynamics
title_sort reduction of friction by normal oscillations ii in plane system dynamics
topic sliding friction
out-of-plane oscillation
stiffness
system dynamics
macroscopic friction coefficient
url http://link.springer.com/article/10.1007/s40544-017-0146-x
work_keys_str_mv AT xinyumao reductionoffrictionbynormaloscillationsiiinplanesystemdynamics
AT valentinlpopov reductionoffrictionbynormaloscillationsiiinplanesystemdynamics
AT jasminkastarcevic reductionoffrictionbynormaloscillationsiiinplanesystemdynamics
AT mikhailpopov reductionoffrictionbynormaloscillationsiiinplanesystemdynamics