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Lubricants 2018, 6(3), 78; https://doi.org/10.3390/lubricants6030078

On the Two-Scale Modelling of Elastohydrodynamic Lubrication in Tilted-Pad Bearings

1
School of Mechanical Engineering, University of Leeds, LS2 9JT Leeds, UK
2
Division of Machine Elements, Luleå University of Technology, E837a Luleå, Sweden
*
Author to whom correspondence should be addressed.
Received: 1 August 2018 / Revised: 23 August 2018 / Accepted: 30 August 2018 / Published: 3 September 2018
(This article belongs to the Special Issue Multiphysics and Multiscale Models of Tribology)
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Abstract

A two-scale method for modelling the Elastohydrodynamic Lubrication (EHL) of tilted-pad bearings is derived and a range of solutions are presented. The method is developed from previous publications and is based on the Heterogeneous Multiscale Methods (HMM). It facilitates, by means of homogenization, incorporating the effects of surface topography in the analysis of tilted-pad bearings. New to this article is the investigation of three-dimensional bearings, including the effects of both ideal and real surface topographies, micro-cavitation, and the metamodeling procedure used in coupling the problem scales. Solutions for smooth bearing surfaces, and under pure hydrodynamic operating conditions, obtained with the present two-scale EHL model, demonstrate equivalence to those obtained from well-established homogenization methods. Solutions obtained for elastohydrodynamic operating conditions, show a dependency of the solution to the pad thickness and load capacity of the bearing. More precisely, the response for the real surface topography was found to be stiffer in comparison to the ideal. Micro-scale results demonstrate periodicity of the flow and surface topography and this is consistent with the requirements of the HMM. The means of selecting micro-scale simulations based on intermediate macro-scale solutions, in the metamodeling approach, was developed for larger dimensionality and subsequent calibration. An analysis of the present metamodeling approach indicates improved performance in comparison to previous studies. View Full-Text
Keywords: tilted-pad bearings; elastohydrodynamic lubrication; surface topography; homogenization; heterogenous multiscale methods tilted-pad bearings; elastohydrodynamic lubrication; surface topography; homogenization; heterogenous multiscale methods
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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de Boer, G.; Almqvist, A. On the Two-Scale Modelling of Elastohydrodynamic Lubrication in Tilted-Pad Bearings. Lubricants 2018, 6, 78.

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