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Modal sensitivity of three-dimensional planetary geared rotor systems to planet gear parameters

Ali Tatar Orcid Logo, Christoph W. Schwingshackl, Michael Friswell

Applied Mathematical Modelling, Volume: 113, Pages: 309 - 332

Swansea University Author: Michael Friswell

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DOI (Published version): 10.1016/j.apm.2022.09.021

Abstract

A parameter study is presented to determine effects of planet gear design parameters on the global modal behaviour of planetary geared rotor systems. The modal sensitivity analysis is conducted using a three-dimensional dynamic model of a planetary geared rotor system for the number of planet gears,...

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Published in: Applied Mathematical Modelling
ISSN: 0307-904X
Published: Elsevier BV 2023
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URI: https://cronfa.swan.ac.uk/Record/cronfa61304
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spelling 2022-10-13T13:28:46.0221520 v2 61304 2022-09-22 Modal sensitivity of three-dimensional planetary geared rotor systems to planet gear parameters 5894777b8f9c6e64bde3568d68078d40 Michael Friswell Michael Friswell true false 2022-09-22 FGSEN A parameter study is presented to determine effects of planet gear design parameters on the global modal behaviour of planetary geared rotor systems. The modal sensitivity analysis is conducted using a three-dimensional dynamic model of a planetary geared rotor system for the number of planet gears, planet mistuning, mass of planet gears, gear mesh stiffness and planet gear speed. These parameters have varying impacts on both natural frequencies and mode shapes, therefore the sensitivity of the planetary geared rotor vibration modes to the planet gear parameters is determined by computing the frequency shifts and comparing the mode shapes. The results show that the mass and mesh stiffness of planet gears have a larger influence on the global dynamic response. Torsional modes and coupled torsional-axial modes are more sensitive to gear mesh stiffness whereas lateral vibration modes are more sensitive to gearbox mass. Planet mistuning results in coupling between lateral and torsional vibrations. The planetary gearbox becomes more rigid in the torsional-axial modes and more flexible in the lateral modes with an increase in the number of planet gears. Planet gears are also found to be having significant gyroscopic effects inside the planetary gearbox. The main original findings in this study can be directly used as initial guidelines for planetary geared rotor design. Journal Article Applied Mathematical Modelling 113 309 332 Elsevier BV 0307-904X Geared rotors; Planetary gearbox; Modal analysis; Parameter effects; Vibration sensitivity 1 1 2023 2023-01-01 10.1016/j.apm.2022.09.021 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University This study was funded by the Ministry of National Education of the Republic of Turkey under YLSY grant. 2022-10-13T13:28:46.0221520 2022-09-22T15:46:38.6233775 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Ali Tatar 0000-0002-4375-5118 1 Christoph W. Schwingshackl 2 Michael Friswell 3 61304__25447__e2627bbf1de14b9ca9189a8bd2edf915.pdf 61304_VoR.pdf 2022-10-13T13:28:11.7256607 Output 9668683 application/pdf Version of Record true Crown Copyright © 2022 This is an open access article under the CC BY license true eng http://creativecommons.org/licenses/by/4.0/
title Modal sensitivity of three-dimensional planetary geared rotor systems to planet gear parameters
spellingShingle Modal sensitivity of three-dimensional planetary geared rotor systems to planet gear parameters
Michael Friswell
title_short Modal sensitivity of three-dimensional planetary geared rotor systems to planet gear parameters
title_full Modal sensitivity of three-dimensional planetary geared rotor systems to planet gear parameters
title_fullStr Modal sensitivity of three-dimensional planetary geared rotor systems to planet gear parameters
title_full_unstemmed Modal sensitivity of three-dimensional planetary geared rotor systems to planet gear parameters
title_sort Modal sensitivity of three-dimensional planetary geared rotor systems to planet gear parameters
author_id_str_mv 5894777b8f9c6e64bde3568d68078d40
author_id_fullname_str_mv 5894777b8f9c6e64bde3568d68078d40_***_Michael Friswell
author Michael Friswell
author2 Ali Tatar
Christoph W. Schwingshackl
Michael Friswell
format Journal article
container_title Applied Mathematical Modelling
container_volume 113
container_start_page 309
publishDate 2023
institution Swansea University
issn 0307-904X
doi_str_mv 10.1016/j.apm.2022.09.021
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 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 A parameter study is presented to determine effects of planet gear design parameters on the global modal behaviour of planetary geared rotor systems. The modal sensitivity analysis is conducted using a three-dimensional dynamic model of a planetary geared rotor system for the number of planet gears, planet mistuning, mass of planet gears, gear mesh stiffness and planet gear speed. These parameters have varying impacts on both natural frequencies and mode shapes, therefore the sensitivity of the planetary geared rotor vibration modes to the planet gear parameters is determined by computing the frequency shifts and comparing the mode shapes. The results show that the mass and mesh stiffness of planet gears have a larger influence on the global dynamic response. Torsional modes and coupled torsional-axial modes are more sensitive to gear mesh stiffness whereas lateral vibration modes are more sensitive to gearbox mass. Planet mistuning results in coupling between lateral and torsional vibrations. The planetary gearbox becomes more rigid in the torsional-axial modes and more flexible in the lateral modes with an increase in the number of planet gears. Planet gears are also found to be having significant gyroscopic effects inside the planetary gearbox. The main original findings in this study can be directly used as initial guidelines for planetary geared rotor design.
published_date 2023-01-01T04:20:03Z
_version_ 1763754328207654912
score 11.012678

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