Journal article 778 views 106 downloads
Continuation analysis of a nonlinear rotor system
Nonlinear Dynamics, Volume: 105, Issue: 1, Pages: 25 - 43
Swansea University Authors:
Alexander Shaw , Michael Friswell
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DOI (Published version): 10.1007/s11071-021-06589-8
Abstract
Nonlinearities in rotating systems have been seen to cause a wide variety of rich phenomena; however, the understanding of these phenomena has been limited because numerical approaches typically rely on “brute force” time simulation, which is slow due to issues of step size and settling time, cannot...
Published in: | Nonlinear Dynamics |
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ISSN: | 0924-090X 1573-269X |
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Springer Science and Business Media LLC
2021
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URI: | https://cronfa.swan.ac.uk/Record/cronfa57260 |
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2021-12-02T11:21:38.5548601 v2 57260 2021-07-02 Continuation analysis of a nonlinear rotor system 10cb5f545bc146fba9a542a1d85f2dea 0000-0002-7521-827X Alexander Shaw Alexander Shaw true false 5894777b8f9c6e64bde3568d68078d40 Michael Friswell Michael Friswell true false 2021-07-02 AERO Nonlinearities in rotating systems have been seen to cause a wide variety of rich phenomena; however, the understanding of these phenomena has been limited because numerical approaches typically rely on “brute force” time simulation, which is slow due to issues of step size and settling time, cannot locate unstable solution families, and may miss key responses if the correct initial conditions are not used. This work uses numerical continuation to explore the responses of such systems in a more systematic way. A simple isotropic rotor system with a smooth nonlinearity is studied, and the rotating frame is used to obtain periodic solutions. Asynchronous responses with oscillating amplitude are seen to initiate at certain drive speeds due to internal resonance, in a manner similar to that observed for nonsmooth rotor–stator contact systems in the previous literature. These responses are isolated, in the sense that they will only meet the more trivial synchronous responses in the limit of zero damping and out of balance forcing. In addition to increasing our understanding of the responses of these systems, the work establishes the potential of numerical continuation as a tool to systematically explore the responses of nonlinear rotor systems. Journal Article Nonlinear Dynamics 105 1 25 43 Springer Science and Business Media LLC 0924-090X 1573-269X Rotordynamics; Bifurcation; Continuation; Internal resonance; Nonlinearity 1 7 2021 2021-07-01 10.1007/s11071-021-06589-8 COLLEGE NANME Aerospace Engineering COLLEGE CODE AERO Swansea University 2021-12-02T11:21:38.5548601 2021-07-02T10:08:37.1734203 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Mehmet Selim Akay 1 Alexander Shaw 0000-0002-7521-827X 2 Michael Friswell 3 57260__20539__1cbe7fb695e14926aa24a8b14d15d4a1.pdf 57260.pdf 2021-08-04T14:43:45.7153488 Output 2329224 application/pdf Version of Record true © The Author(s) 2021. This article is licensed under a Creative Commons Attribution 4.0 International License true eng http://creativecommons.org/licenses/by/4.0/ |
title |
Continuation analysis of a nonlinear rotor system |
spellingShingle |
Continuation analysis of a nonlinear rotor system Alexander Shaw Michael Friswell |
title_short |
Continuation analysis of a nonlinear rotor system |
title_full |
Continuation analysis of a nonlinear rotor system |
title_fullStr |
Continuation analysis of a nonlinear rotor system |
title_full_unstemmed |
Continuation analysis of a nonlinear rotor system |
title_sort |
Continuation analysis of a nonlinear rotor system |
author_id_str_mv |
10cb5f545bc146fba9a542a1d85f2dea 5894777b8f9c6e64bde3568d68078d40 |
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10cb5f545bc146fba9a542a1d85f2dea_***_Alexander Shaw 5894777b8f9c6e64bde3568d68078d40_***_Michael Friswell |
author |
Alexander Shaw Michael Friswell |
author2 |
Mehmet Selim Akay Alexander Shaw Michael Friswell |
format |
Journal article |
container_title |
Nonlinear Dynamics |
container_volume |
105 |
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1 |
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25 |
publishDate |
2021 |
institution |
Swansea University |
issn |
0924-090X 1573-269X |
doi_str_mv |
10.1007/s11071-021-06589-8 |
publisher |
Springer Science and Business Media LLC |
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Faculty of Science and Engineering |
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Faculty of Science and Engineering |
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facultyofscienceandengineering |
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Faculty of Science and Engineering |
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School of Engineering and Applied Sciences - Uncategorised{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Uncategorised |
document_store_str |
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description |
Nonlinearities in rotating systems have been seen to cause a wide variety of rich phenomena; however, the understanding of these phenomena has been limited because numerical approaches typically rely on “brute force” time simulation, which is slow due to issues of step size and settling time, cannot locate unstable solution families, and may miss key responses if the correct initial conditions are not used. This work uses numerical continuation to explore the responses of such systems in a more systematic way. A simple isotropic rotor system with a smooth nonlinearity is studied, and the rotating frame is used to obtain periodic solutions. Asynchronous responses with oscillating amplitude are seen to initiate at certain drive speeds due to internal resonance, in a manner similar to that observed for nonsmooth rotor–stator contact systems in the previous literature. These responses are isolated, in the sense that they will only meet the more trivial synchronous responses in the limit of zero damping and out of balance forcing. In addition to increasing our understanding of the responses of these systems, the work establishes the potential of numerical continuation as a tool to systematically explore the responses of nonlinear rotor systems. |
published_date |
2021-07-01T04:12:52Z |
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1763753876021837824 |
score |
11.021648 |