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...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
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SpringerOpen
2017-04-01
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Series: | Friction |
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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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id | doaj.art-83842d3f72474d5fa942bdba39d259d5 |
institution | Directory Open Access Journal |
issn | 2223-7690 2223-7704 |
language | English |
last_indexed | 2024-12-10T15:49:55Z |
publishDate | 2017-04-01 |
publisher | SpringerOpen |
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series | Friction |
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 |