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Application of topological optimisation methodology to infinitely wide slider bearings operating under compressible flow
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Machine Elements.ORCID iD: 0000-0002-4085-8306
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Machine Elements.ORCID iD: 0000-0002-3556-328x
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.ORCID iD: 0000-0003-1993-8229
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Machine Elements.ORCID iD: 0000-0001-7029-1112
2020 (English)In: Proceedings of the Institution of mechanical engineers. Part J, journal of engineering tribology, ISSN 1350-6501, E-ISSN 2041-305X, Vol. 234, no 7, p. 1035-1050Article in journal (Refereed) Published
Abstract [en]

It has been over a century since the interest in inventing the optimal topology for bearings arose. A significant achievement was published by Lord Rayleigh, who found the step-bearing geometry which maximise the load-carrying capacity when the classical Reynolds equation is used to model thin film flow of an iso-viscous and incompressible fluid. Since then, new optimisation methods considering some variants of governing equations for finding the best possible bearings have surfaced, one of which will be presented in this paper. Here, two different formulations for compressible flow, i.e. ideal gas and constant bulk modulus compressibility, as well as the classical Reynolds formulation will be used in combination with the method of moving asymptotes for topological optimisation. All three of these problem formulations provide us with unique geometries, which either maximise the load-carrying capacity or minimise friction, for fluids with a wide variety of compressibility.

Place, publisher, year, edition, pages
Sage Publications, 2020. Vol. 234, no 7, p. 1035-1050
Keywords [en]
Hydrodynamic lubrication, topological optimisation, Reynolds equation, slider bearing, MMA
National Category
Other Mechanical Engineering Mathematical Analysis
Research subject
Machine Elements; Applied Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-77803DOI: 10.1177/1350650120901907ISI: 000511550200001Scopus ID: 2-s2.0-85078964335OAI: oai:DiVA.org:ltu-77803DiVA, id: diva2:1395254
Note

Validerad;2020;Nivå 2;2020-06-22 (alebob)

Available from: 2020-02-21 Created: 2020-02-21 Last updated: 2025-02-14Bibliographically approved

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Kalliorinne, KalleRàfols, Francesc PérezFabricius, JohnAlmqvist, Andreas

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