Experimental measurement and numerical computation of parametric instabilities in a planetary gearbox
This article experimentally and numerically investigates the vibration behavior of a high-speed planetary gearbox. The subject planetary gear is a system in practical use. The focus is on parametrically excited vibrations and parametric instabilities that arise from time-varying gear mesh stiffness...
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| Vydané v: | Journal of sound and vibration Ročník 536; s. 117160 |
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| Hlavní autori: | , , |
| Médium: | Journal Article |
| Jazyk: | English |
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Elsevier Ltd
13.10.2022
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| ISSN: | 0022-460X |
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| Abstract | This article experimentally and numerically investigates the vibration behavior of a high-speed planetary gearbox. The subject planetary gear is a system in practical use. The focus is on parametrically excited vibrations and parametric instabilities that arise from time-varying gear mesh stiffness and may lead to gear whine. An example gearbox is deliberately subjected to poor profile modification in order to increase the dynamic excitation. Experiments reveal that this non-optimized version generates gear whine, where the same system with appropriate profile modifications does not. The measurements show a broadband frequency spectrum at certain operating conditions. A rotational lumped-parameter model with a linear implementation of the time-varying gear mesh stiffnesses is used to investigate the instability phenomena from a theoretical point of view. The model is analyzed in the time (numerical integration) and frequency (harmonic balance) domains. The computational approach clearly identifies that the large vibration results from parametric instability. The calculations explain the measurements and confirm the occurrence of parametric instabilities in a planetary gearbox by experiments.
•Fast-running planetary gearbox of high gear ratio and large component dimensions.•Linear harmonic balance method considers time-varying gear mesh stiffness.•Unconditional stable time integration validates harmonic implementation strategy.•Simulation and experiment detects ‘gear whine’ as parametric instability.•Appropriate profile modifications reduce noise level in theory and practice. |
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| AbstractList | This article experimentally and numerically investigates the vibration behavior of a high-speed planetary gearbox. The subject planetary gear is a system in practical use. The focus is on parametrically excited vibrations and parametric instabilities that arise from time-varying gear mesh stiffness and may lead to gear whine. An example gearbox is deliberately subjected to poor profile modification in order to increase the dynamic excitation. Experiments reveal that this non-optimized version generates gear whine, where the same system with appropriate profile modifications does not. The measurements show a broadband frequency spectrum at certain operating conditions. A rotational lumped-parameter model with a linear implementation of the time-varying gear mesh stiffnesses is used to investigate the instability phenomena from a theoretical point of view. The model is analyzed in the time (numerical integration) and frequency (harmonic balance) domains. The computational approach clearly identifies that the large vibration results from parametric instability. The calculations explain the measurements and confirm the occurrence of parametric instabilities in a planetary gearbox by experiments.
•Fast-running planetary gearbox of high gear ratio and large component dimensions.•Linear harmonic balance method considers time-varying gear mesh stiffness.•Unconditional stable time integration validates harmonic implementation strategy.•Simulation and experiment detects ‘gear whine’ as parametric instability.•Appropriate profile modifications reduce noise level in theory and practice. |
| ArticleNumber | 117160 |
| Author | Marburg, Steffen Parker, Robert G. Beinstingel, Andreas |
| Author_xml | – sequence: 1 givenname: Andreas orcidid: 0000-0001-8461-0030 surname: Beinstingel fullname: Beinstingel, Andreas email: andreas.beinstingel@tum.de organization: Technical University of Munich, Chair of Vibroacoustics of Vehicles and Machines, 85748 Garching, Germany – sequence: 2 givenname: Robert G. orcidid: 0000-0003-3320-8898 surname: Parker fullname: Parker, Robert G. organization: University of Utah, Department of Mechanical Engineering, Salt Lake City, UT, 84112, USA – sequence: 3 givenname: Steffen surname: Marburg fullname: Marburg, Steffen organization: Technical University of Munich, Chair of Vibroacoustics of Vehicles and Machines, 85748 Garching, Germany |
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