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A Complementarity Problem–Based Solution Procedure for 2D Steady-State Rolling Contacts with Dry Friction
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Machine Elements.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Machine Elements.ORCID iD: 0000-0001-7029-1112
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Machine Elements.ORCID iD: 0000-0001-6085-7880
Theory of Lubrication and Bearing Institute, Key Laboratory of Education Ministry for Modern Design and Rotor-Bearing System, Xi’an Jiaotong University, Xi’an.
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Number of Authors: 52016 (English)In: Tribology Transactions, ISSN 1040-2004, E-ISSN 1547-397X, Vol. 59, no 6, p. 1031-1038Article in journal (Refereed) Published
Abstract [en]

The problem of steady-state rolling contact between two cylinders with dry friction was formulated into standard linear complementarity problems (LCPs) by using the explicit physical definition. For normal contact, the complementarity variables are the normal pressure and the gap. For the tangential contact, the traction distribution and relative slip are the variables obtained by solving the LCP. The frictional behavior is assumed to be governed by the Coulomb friction law, and LCP formulations of both similar elastic (Carter problem) and dissimilar elastic rolling contacts are presented in this work. Good agreement was found between the current LCP approach and publicly available software for both the rolling contact of similar elastic and dissimilar elastic cylinders. Moreover, the surface roughness was taken into account in this paper by the verified approach. The results show the initial slope of the traction - relative creepage curve decreases as the surface roughness increases.

Place, publisher, year, edition, pages
2016. Vol. 59, no 6, p. 1031-1038
National Category
Tribology (Interacting Surfaces including Friction, Lubrication and Wear)
Research subject
Machine Elements
Identifiers
URN: urn:nbn:se:ltu:diva-5629DOI: 10.1080/10402004.2015.1131348ISI: 000386343600006Scopus ID: 2-s2.0-84991054921Local ID: 3c91037d-7977-4b39-922b-6ab688367437OAI: oai:DiVA.org:ltu-5629DiVA, id: diva2:978503
Note

Validerad; 2016; Nivå 2; 2016-10-19 (andbra)

Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-07-10Bibliographically approved

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Xi, YinhuAlmqvist, AndreasShi, YijunLarsson, Roland

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