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Continuation analysis of overhung rotor bouncing cycles with smooth and contact nonlinearities

MEHMET AKAY, Alexander Shaw Orcid Logo, Michael Friswell

International Journal of Non-Linear Mechanics, Volume: 150, Start page: 104343

Swansea University Authors: MEHMET AKAY, Alexander Shaw Orcid Logo, Michael Friswell

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DOI (Published version): 10.1016/j.ijnonlinmec.2022.104343

Abstract

Time simulation has been widely used when investigating the nonlinear response of rotating machines, due to its relative simplicity. However, this approach is computationally inefficient due to large transient decay times and the need to repeat the analysis for multiple drive speeds and initial cond...

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Published in: International Journal of Non-Linear Mechanics
ISSN: 0020-7462
Published: Elsevier BV 2023
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URI: https://cronfa.swan.ac.uk/Record/cronfa62221
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first_indexed 2022-12-29T16:56:11Z
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spelling v2 62221 2022-12-29 Continuation analysis of overhung rotor bouncing cycles with smooth and contact nonlinearities b1366490e021f33010551e3d84333829 MEHMET AKAY MEHMET AKAY true false 10cb5f545bc146fba9a542a1d85f2dea 0000-0002-7521-827X Alexander Shaw Alexander Shaw true false 5894777b8f9c6e64bde3568d68078d40 Michael Friswell Michael Friswell true false 2022-12-29 Time simulation has been widely used when investigating the nonlinear response of rotating machines, due to its relative simplicity. However, this approach is computationally inefficient due to large transient decay times and the need to repeat the analysis for multiple drive speeds and initial conditions, and is incomplete because of its inability to give information about unstable responses. Alternatively, the numerical continuation method can be used to explore the nonlinear behaviour of such systems in a more systematic and efficient way. In rotating machinery, tighter tolerances are valued for efficiency, making the rotor-stator contact phenomenon a priority for research. Various cases including rigid and very compliant contact stiffness models have been investigated in the literature, in many cases showing responses similar to that of smooth nonlinearities such as cubic stiffness. This knowledge has been used in the present study to transform the bifurcation diagram of a simpler nonlinearity (cubic) to a more complex one (contact represented by bilinear stiffness approximated using a tanh formulation) through a homotopy of the nonlinear restoring forces present in the system definition. A 2-dof overhung rotor with gyroscopic effects is used in the investigation of quasiperiodic bouncing cycles that appear periodic in the rotating frame. This work not only provides more insight into the behaviour of nonlinear rotor-stator contact responses, but also demonstrates the numerical continuation method as a potential tool to explore the nonlinear rotating system’s response in a more structured manner. Journal Article International Journal of Non-Linear Mechanics 150 104343 Elsevier BV 0020-7462 Rotor-stator contact; Nonlinearity; Internal resonance; Numerical continuation; Homotopy 1 4 2023 2023-04-01 10.1016/j.ijnonlinmec.2022.104343 COLLEGE NANME COLLEGE CODE Swansea University SU Library paid the OA fee (TA Institutional Deal) 2023-06-01T11:53:26.3506968 2022-12-29T16:53:33.9310174 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised MEHMET AKAY 1 Alexander Shaw 0000-0002-7521-827X 2 Michael Friswell 3 62221__26438__512fcc1a6edf4b40976a85af490b36e7.pdf 62221 (2).pdf 2023-01-30T15:37:10.2239009 Output 3598366 application/pdf Version of Record true This is an open access article under the CC BY license false eng http://creativecommons.org/licenses/by/4.0/
title Continuation analysis of overhung rotor bouncing cycles with smooth and contact nonlinearities
spellingShingle Continuation analysis of overhung rotor bouncing cycles with smooth and contact nonlinearities
MEHMET AKAY
Alexander Shaw
Michael Friswell
title_short Continuation analysis of overhung rotor bouncing cycles with smooth and contact nonlinearities
title_full Continuation analysis of overhung rotor bouncing cycles with smooth and contact nonlinearities
title_fullStr Continuation analysis of overhung rotor bouncing cycles with smooth and contact nonlinearities
title_full_unstemmed Continuation analysis of overhung rotor bouncing cycles with smooth and contact nonlinearities
title_sort Continuation analysis of overhung rotor bouncing cycles with smooth and contact nonlinearities
author_id_str_mv b1366490e021f33010551e3d84333829
10cb5f545bc146fba9a542a1d85f2dea
5894777b8f9c6e64bde3568d68078d40
author_id_fullname_str_mv b1366490e021f33010551e3d84333829_***_MEHMET AKAY
10cb5f545bc146fba9a542a1d85f2dea_***_Alexander Shaw
5894777b8f9c6e64bde3568d68078d40_***_Michael Friswell
author MEHMET AKAY
Alexander Shaw
Michael Friswell
author2 MEHMET AKAY
Alexander Shaw
Michael Friswell
format Journal article
container_title International Journal of Non-Linear Mechanics
container_volume 150
container_start_page 104343
publishDate 2023
institution Swansea University
issn 0020-7462
doi_str_mv 10.1016/j.ijnonlinmec.2022.104343
publisher Elsevier BV
college_str Faculty of Science and Engineering
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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
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description Time simulation has been widely used when investigating the nonlinear response of rotating machines, due to its relative simplicity. However, this approach is computationally inefficient due to large transient decay times and the need to repeat the analysis for multiple drive speeds and initial conditions, and is incomplete because of its inability to give information about unstable responses. Alternatively, the numerical continuation method can be used to explore the nonlinear behaviour of such systems in a more systematic and efficient way. In rotating machinery, tighter tolerances are valued for efficiency, making the rotor-stator contact phenomenon a priority for research. Various cases including rigid and very compliant contact stiffness models have been investigated in the literature, in many cases showing responses similar to that of smooth nonlinearities such as cubic stiffness. This knowledge has been used in the present study to transform the bifurcation diagram of a simpler nonlinearity (cubic) to a more complex one (contact represented by bilinear stiffness approximated using a tanh formulation) through a homotopy of the nonlinear restoring forces present in the system definition. A 2-dof overhung rotor with gyroscopic effects is used in the investigation of quasiperiodic bouncing cycles that appear periodic in the rotating frame. This work not only provides more insight into the behaviour of nonlinear rotor-stator contact responses, but also demonstrates the numerical continuation method as a potential tool to explore the nonlinear rotating system’s response in a more structured manner.
published_date 2023-04-01T11:53:25Z
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score 11.037056

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