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Normal form analysis of bouncing cycles in isotropic rotor stator contact problems

Alexander Shaw Orcid Logo, Alan R. Champneys, Michael Friswell

International Journal of Mechanical Sciences, Volume: 155, Pages: 83 - 97

Swansea University Authors: Alexander Shaw Orcid Logo, Michael Friswell

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DOI (Published version): 10.1016/j.ijmecsci.2019.02.035

Abstract

This work considers analysis of sustained bouncing responses of rotating shafts with nonlinear lateral vibrations due to rotor stator contact. The insight that this is an internal resonance phenomena makes this an ideal system to be studied with the method of normal forms, which assumes that a syste...

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Published in: International Journal of Mechanical Sciences
ISSN: 00207403
Published: 2019
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URI: https://cronfa.swan.ac.uk/Record/cronfa49011
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spelling 2022-11-15T16:13:04.8335014 v2 49011 2019-02-28 Normal form analysis of bouncing cycles in isotropic rotor stator contact problems 10cb5f545bc146fba9a542a1d85f2dea 0000-0002-7521-827X Alexander Shaw Alexander Shaw true false 5894777b8f9c6e64bde3568d68078d40 Michael Friswell Michael Friswell true false 2019-02-28 AERO This work considers analysis of sustained bouncing responses of rotating shafts with nonlinear lateral vibrations due to rotor stator contact. The insight that this is an internal resonance phenomena makes this an ideal system to be studied with the method of normal forms, which assumes that a system may be modelled primarily in terms of just its resonant response components. However, the presence of large non smooth nonlinearities due to impact and rub mean that the method must be extended. This is achieved here by incorporating an alternating frequency/time (AFT) step to capture nonlinear forces. Furthermore, the presence of gyroscopic terms leads to the need to handle complex modal variables, and a rotating coordinate frame must be used to obtain periodic responses. The process results in an elegant formulation that can provide reduced order models of a wide variety of rotor systems, with potentially many nonlinear degrees of freedom. The method is demonstrated by comparing against time simulation of two example rotors, demonstrating high precision on a simple model and approximate precision on a larger model. Journal Article International Journal of Mechanical Sciences 155 83 97 00207403 31 12 2019 2019-12-31 10.1016/j.ijmecsci.2019.02.035 COLLEGE NANME Aerospace Engineering COLLEGE CODE AERO Swansea University 2022-11-15T16:13:04.8335014 2019-02-28T08:44:39.8832321 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Alexander Shaw 0000-0002-7521-827X 1 Alan R. Champneys 2 Michael Friswell 3 0049011-28022019084928.pdf shaw2019v2.pdf 2019-02-28T08:49:28.2430000 Output 8282458 application/pdf Accepted Manuscript true 2020-02-25T00:00:00.0000000 true eng
title Normal form analysis of bouncing cycles in isotropic rotor stator contact problems
spellingShingle Normal form analysis of bouncing cycles in isotropic rotor stator contact problems
Alexander Shaw
Michael Friswell
title_short Normal form analysis of bouncing cycles in isotropic rotor stator contact problems
title_full Normal form analysis of bouncing cycles in isotropic rotor stator contact problems
title_fullStr Normal form analysis of bouncing cycles in isotropic rotor stator contact problems
title_full_unstemmed Normal form analysis of bouncing cycles in isotropic rotor stator contact problems
title_sort Normal form analysis of bouncing cycles in isotropic rotor stator contact problems
author_id_str_mv 10cb5f545bc146fba9a542a1d85f2dea
5894777b8f9c6e64bde3568d68078d40
author_id_fullname_str_mv 10cb5f545bc146fba9a542a1d85f2dea_***_Alexander Shaw
5894777b8f9c6e64bde3568d68078d40_***_Michael Friswell
author Alexander Shaw
Michael Friswell
author2 Alexander Shaw
Alan R. Champneys
Michael Friswell
format Journal article
container_title International Journal of Mechanical Sciences
container_volume 155
container_start_page 83
publishDate 2019
institution Swansea University
issn 00207403
doi_str_mv 10.1016/j.ijmecsci.2019.02.035
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 Engineering and Applied Sciences - Uncategorised{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Uncategorised
document_store_str 1
active_str 0
description This work considers analysis of sustained bouncing responses of rotating shafts with nonlinear lateral vibrations due to rotor stator contact. The insight that this is an internal resonance phenomena makes this an ideal system to be studied with the method of normal forms, which assumes that a system may be modelled primarily in terms of just its resonant response components. However, the presence of large non smooth nonlinearities due to impact and rub mean that the method must be extended. This is achieved here by incorporating an alternating frequency/time (AFT) step to capture nonlinear forces. Furthermore, the presence of gyroscopic terms leads to the need to handle complex modal variables, and a rotating coordinate frame must be used to obtain periodic responses. The process results in an elegant formulation that can provide reduced order models of a wide variety of rotor systems, with potentially many nonlinear degrees of freedom. The method is demonstrated by comparing against time simulation of two example rotors, demonstrating high precision on a simple model and approximate precision on a larger model.
published_date 2019-12-31T03:59:45Z
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score 11.013731

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