Application of topological optimisation methodology to infinitely wide slider bearings operating under compressible flow

Document identifier: oai:DiVA.org:ltu-77803
Access full text here:10.1177/1350650120901907
Keyword: Engineering and Technology, Matematisk analys, Applied Mathematics, Maskinelement, Machine Elements, MMA, Slider bearing, Reynolds equation, Topological optimisation, Hydrodynamic lubrication, Matematik, Mechanical Engineering, Naturvetenskap, Mathematical Analysis, Mathematics, Natural Sciences, Tribologi (ytteknik omfattande friktion, nötning och smörjning), Maskinteknik, Teknik och teknologier, Tribology (Interacting Surfaces including Friction, Lubrication and Wear), Tillämpad matematik
Publication year: 2020
Abstract:

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.

Authors

Kalle Kalliorinne

Luleå tekniska universitet; Maskinelement
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Francesc Pérez Ràfols

Luleå tekniska universitet; Maskinelement
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John Fabricius

Luleå tekniska universitet; Matematiska vetenskaper
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Andreas Almqvist

Luleå tekniska universitet; Maskinelement
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