Application of topological optimisation methodology to infinitely wide slider bearings operating under compressible flow
Document identifier: oai:DiVA.org:ltu-77803
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10.1177/1350650120901907Keyword: 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 matematikPublication year: 2020Abstract: 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
Other publications
>>
Francesc Pérez Ràfols
Luleå tekniska universitet; Maskinelement
Other publications
>>
John Fabricius
Luleå tekniska universitet; Matematiska vetenskaper
Other publications
>>
Andreas Almqvist
Luleå tekniska universitet; Maskinelement
Other publications
>>
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header:
identifier: oai:DiVA.org:ltu-77803
datestamp: 2021-04-19T12:48:37Z
setSpec: SwePub-ltu
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recordContentSource: ltu
recordCreationDate: 2020-02-21
identifier:
http://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-77803
10.1177/1350650120901907
2-s2.0-85078964335
titleInfo:
@attributes:
lang: eng
title: Application of topological optimisation methodology to infinitely wide slider bearings operating under compressible flow
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.
subject:
@attributes:
lang: eng
authority: uka.se
topic:
Engineering and Technology
Mechanical Engineering
Tribology (Interacting Surfaces including Friction Lubrication and Wear)
@attributes:
lang: swe
authority: uka.se
topic:
Teknik och teknologier
Maskinteknik
Tribologi (ytteknik omfattande friktion nötning och smörjning)
@attributes:
lang: eng
authority: uka.se
topic:
Natural Sciences
Mathematics
Mathematical Analysis
@attributes:
lang: swe
authority: uka.se
topic:
Naturvetenskap
Matematik
Matematisk analys
@attributes:
lang: eng
topic: Hydrodynamic lubrication
@attributes:
lang: eng
topic: topological optimisation
@attributes:
lang: eng
topic: Reynolds equation
@attributes:
lang: eng
topic: slider bearing
@attributes:
lang: eng
topic: MMA
@attributes:
lang: eng
authority: ltu
topic: Machine Elements
genre: Research subject
@attributes:
lang: swe
authority: ltu
topic: Maskinelement
genre: Research subject
@attributes:
lang: eng
authority: ltu
topic: Applied Mathematics
genre: Research subject
@attributes:
lang: swe
authority: ltu
topic: Tillämpad matematik
genre: Research subject
language:
languageTerm: eng
genre:
publication/journal-article
ref
note:
Published
4
Validerad;2020;Nivå 2;2020-06-22 (alebob)
name:
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type: personal
authority: ltu
namePart:
Kalliorinne
Kalle
role:
roleTerm: aut
affiliation:
Luleå tekniska universitet
Maskinelement
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kalkal
0000-0002-4085-8306
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authority: ltu
namePart:
Ràfols
Francesc Pérez
1990-
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affiliation:
Luleå tekniska universitet
Maskinelement
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fraper
0000-0002-3556-328x
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authority: ltu
namePart:
Fabricius
John
role:
roleTerm: aut
affiliation:
Luleå tekniska universitet
Matematiska vetenskaper
nameIdentifier:
johfab
0000-0003-1993-8229
@attributes:
type: personal
authority: ltu
namePart:
Almqvist
Andreas
role:
roleTerm: aut
affiliation:
Luleå tekniska universitet
Maskinelement
nameIdentifier:
almqvist
0000-0001-7029-1112
originInfo:
dateIssued: 2020
publisher: Sage Publications
relatedItem:
@attributes:
type: host
titleInfo:
title: Proceedings of the Institution of mechanical engineers. Part J journal of engineering tribology
identifier:
1350-6501
2041-305X
part:
detail:
@attributes:
type: volume
number: 234
@attributes:
type: issue
number: 7
extent:
start: 1035
end: 1050
physicalDescription:
form: print
typeOfResource: text