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Approximating fluid bearing characteristics using polynomials for the nonlinear dynamics of rotating machines

T.A. El-Sayed, Michael Friswell, Hussein Sayed

Tribology International, Volume: 187, Start page: 108669

Swansea University Author: Michael Friswell

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DOI (Published version): 10.1016/j.triboint.2023.108669

Abstract

Modelling the nonlinear dynamics of rotors supported by finite length journal bearings is of great importance in various engineering applications. In this study, four-dimensional polynomial functions are evaluated to represent the nonlinear hydrodynamic force based on a previously evaluated database...

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Published in: Tribology International
ISSN: 0301-679X 1879-2464
Published: Elsevier BV 2023
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URI: https://cronfa.swan.ac.uk/Record/cronfa63638
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last_indexed 2023-06-13T13:33:19Z
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spelling v2 63638 2023-06-13 Approximating fluid bearing characteristics using polynomials for the nonlinear dynamics of rotating machines 5894777b8f9c6e64bde3568d68078d40 Michael Friswell Michael Friswell true false 2023-06-13 Modelling the nonlinear dynamics of rotors supported by finite length journal bearings is of great importance in various engineering applications. In this study, four-dimensional polynomial functions are evaluated to represent the nonlinear hydrodynamic force based on a previously evaluated database. These functions are then used to model the dynamics of flexible rotor/bearing systems. The quasi statics and dynamics of rotor-bearing systems are investigated, and the results are compared with the numerical solution obtained by solving the Reynolds equation at each time step. The findings indicate that the current analysis yields favorable agreement with the direct solution of Reynolds equation in both perturbation analysis from the equilibrium position and dynamic analysis. Moreover, the analysis reveals that the computational time required to solve the dynamics of rotor-bearing systems is significantly lower than that of solving Reynolds equation at each time step to acquire the bearing forces. Journal Article Tribology International 187 108669 Elsevier BV 0301-679X 1879-2464 Rotor-bearing dynamics, Four-dimensional polynomial representation, Reynolds’ equation, Polynomial fitting, Finite length journal bearing, Hopf bifurcation analysis, Numerical continuation method 30 9 2023 2023-09-30 10.1016/j.triboint.2023.108669 COLLEGE NANME COLLEGE CODE Swansea University The authors of this paper declare that the research conducted in this paper was not supported by any funding from external organisations. 2024-07-29T15:10:00.6374412 2023-06-13T14:30:08.9797259 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering T.A. El-Sayed 1 Michael Friswell 2 Hussein Sayed 3 63638__27932__875ac52e9fea476faf45e5befc0e5428.pdf 63638 AAM.pdf 2023-06-21T16:27:37.5615736 Output 4502642 application/pdf Accepted Manuscript true 2024-06-07T00:00:00.0000000 Distributed under the terms of a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Licence (CC BY-NC-ND 4.0). true eng http://creativecommons.org/licenses/by-nc-nd/4.0/
title Approximating fluid bearing characteristics using polynomials for the nonlinear dynamics of rotating machines
spellingShingle Approximating fluid bearing characteristics using polynomials for the nonlinear dynamics of rotating machines
Michael Friswell
title_short Approximating fluid bearing characteristics using polynomials for the nonlinear dynamics of rotating machines
title_full Approximating fluid bearing characteristics using polynomials for the nonlinear dynamics of rotating machines
title_fullStr Approximating fluid bearing characteristics using polynomials for the nonlinear dynamics of rotating machines
title_full_unstemmed Approximating fluid bearing characteristics using polynomials for the nonlinear dynamics of rotating machines
title_sort Approximating fluid bearing characteristics using polynomials for the nonlinear dynamics of rotating machines
author_id_str_mv 5894777b8f9c6e64bde3568d68078d40
author_id_fullname_str_mv 5894777b8f9c6e64bde3568d68078d40_***_Michael Friswell
author Michael Friswell
author2 T.A. El-Sayed
Michael Friswell
Hussein Sayed
format Journal article
container_title Tribology International
container_volume 187
container_start_page 108669
publishDate 2023
institution Swansea University
issn 0301-679X
1879-2464
doi_str_mv 10.1016/j.triboint.2023.108669
publisher Elsevier BV
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering
document_store_str 1
active_str 0
description Modelling the nonlinear dynamics of rotors supported by finite length journal bearings is of great importance in various engineering applications. In this study, four-dimensional polynomial functions are evaluated to represent the nonlinear hydrodynamic force based on a previously evaluated database. These functions are then used to model the dynamics of flexible rotor/bearing systems. The quasi statics and dynamics of rotor-bearing systems are investigated, and the results are compared with the numerical solution obtained by solving the Reynolds equation at each time step. The findings indicate that the current analysis yields favorable agreement with the direct solution of Reynolds equation in both perturbation analysis from the equilibrium position and dynamic analysis. Moreover, the analysis reveals that the computational time required to solve the dynamics of rotor-bearing systems is significantly lower than that of solving Reynolds equation at each time step to acquire the bearing forces.
published_date 2023-09-30T15:09:59Z
_version_ 1805922808056774656
score 11.037603

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