On the Non-Dimensional Modelling of Friction Hysteresis of Conformal Rough Contacts

Friction hysteresis, ingaphenomenon observed when a sliding contact is subjected to an oscillatory motion has significant implications in fields such as tribology and robotics. Understanding and quantifying friction hysteresis is essential for improving the performance and efficiency of many sliding...

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Main Authors: Kristof Driesen, Sylvie Castagne, Bert Lauwers, Dieter Fauconnier
Format: Article
Language:English
Published: MDPI AG 2025-05-01
Series:Lubricants
Subjects:
Online Access:https://www.mdpi.com/2075-4442/13/6/248
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author Kristof Driesen
Sylvie Castagne
Bert Lauwers
Dieter Fauconnier
author_facet Kristof Driesen
Sylvie Castagne
Bert Lauwers
Dieter Fauconnier
author_sort Kristof Driesen
collection DOAJ
description Friction hysteresis, ingaphenomenon observed when a sliding contact is subjected to an oscillatory motion has significant implications in fields such as tribology and robotics. Understanding and quantifying friction hysteresis is essential for improving the performance and efficiency of many sliding contacts. In this paper, we introduce six non-dimensional groups to characterize and study friction hysteresis behaviour for rough conformal sliding contacts. The proposed non-dimensional groups are specifically designed to capture the essential features of friction hysteresis loops encountered based upon previous work of present authors. The non-dimensional groups are derived from a mixed friction model composed of the transient Reynolds equation, a statistical mixed friction contact model, and the load balance. The non-dimensional groups capture physical parameters that influence friction behaviour, including normal load, sliding speed, viscosity, density, and surface roughness. By expressing these parameters in non-dimensional form, the proposed groups provide a concise and generalizable framework for analysing friction hysteresis across different systems and scales. To demonstrate the effectiveness of the non-dimensional groups, we establish a comprehensive relationship between the proposed groups and typical friction hysteresis loops encountered. Through numerical simulations, we find relationships that govern the transition between different hysteresis loop shapes and sizes. This knowledge can inform the design and optimization of systems where friction hysteresis plays a crucial role.
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spelling doaj-art-c291581317d94aed88980da7ce9a2fff2025-08-20T03:16:22ZengMDPI AGLubricants2075-44422025-05-0113624810.3390/lubricants13060248On the Non-Dimensional Modelling of Friction Hysteresis of Conformal Rough ContactsKristof Driesen0Sylvie Castagne1Bert Lauwers2Dieter Fauconnier3Department of Mechanical Engineering and Flanders Make@KU Leuven M&A, KU Leuven, Celestijnenlaan 300, 3001 Leuven, BelgiumDepartment of Mechanical Engineering and Flanders Make@KU Leuven M&A, KU Leuven, Celestijnenlaan 300, 3001 Leuven, BelgiumDepartment of Mechanical Engineering and Flanders Make@KU Leuven M&A, KU Leuven, Celestijnenlaan 300, 3001 Leuven, BelgiumSoete Laboratory, Department of Electromechanical, Systems & Metal Engineering, Faculty of Engineering and Architecture, Ghent University, Technologiepark 903, 9052 Zwijnaarde, BelgiumFriction hysteresis, ingaphenomenon observed when a sliding contact is subjected to an oscillatory motion has significant implications in fields such as tribology and robotics. Understanding and quantifying friction hysteresis is essential for improving the performance and efficiency of many sliding contacts. In this paper, we introduce six non-dimensional groups to characterize and study friction hysteresis behaviour for rough conformal sliding contacts. The proposed non-dimensional groups are specifically designed to capture the essential features of friction hysteresis loops encountered based upon previous work of present authors. The non-dimensional groups are derived from a mixed friction model composed of the transient Reynolds equation, a statistical mixed friction contact model, and the load balance. The non-dimensional groups capture physical parameters that influence friction behaviour, including normal load, sliding speed, viscosity, density, and surface roughness. By expressing these parameters in non-dimensional form, the proposed groups provide a concise and generalizable framework for analysing friction hysteresis across different systems and scales. To demonstrate the effectiveness of the non-dimensional groups, we establish a comprehensive relationship between the proposed groups and typical friction hysteresis loops encountered. Through numerical simulations, we find relationships that govern the transition between different hysteresis loop shapes and sizes. This knowledge can inform the design and optimization of systems where friction hysteresis plays a crucial role.https://www.mdpi.com/2075-4442/13/6/248lubricationmodellingnon-dimensional groupsfriction hysteresis
spellingShingle Kristof Driesen
Sylvie Castagne
Bert Lauwers
Dieter Fauconnier
On the Non-Dimensional Modelling of Friction Hysteresis of Conformal Rough Contacts
Lubricants
lubrication
modelling
non-dimensional groups
friction hysteresis
title On the Non-Dimensional Modelling of Friction Hysteresis of Conformal Rough Contacts
title_full On the Non-Dimensional Modelling of Friction Hysteresis of Conformal Rough Contacts
title_fullStr On the Non-Dimensional Modelling of Friction Hysteresis of Conformal Rough Contacts
title_full_unstemmed On the Non-Dimensional Modelling of Friction Hysteresis of Conformal Rough Contacts
title_short On the Non-Dimensional Modelling of Friction Hysteresis of Conformal Rough Contacts
title_sort on the non dimensional modelling of friction hysteresis of conformal rough contacts
topic lubrication
modelling
non-dimensional groups
friction hysteresis
url https://www.mdpi.com/2075-4442/13/6/248
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AT sylviecastagne onthenondimensionalmodellingoffrictionhysteresisofconformalroughcontacts
AT bertlauwers onthenondimensionalmodellingoffrictionhysteresisofconformalroughcontacts
AT dieterfauconnier onthenondimensionalmodellingoffrictionhysteresisofconformalroughcontacts