Vibration Behavior of the Planetary Gear System by Considering the Fixed Output

This work studies on analytical model of the single–stage spur planetary gear in form of lumped–parameter model. It includes key nonlinear factors of planetary gear vibration such as mesh stiffness and backlash of meshing gears. The planetary gear set is modeled as a set of lumped masses and springs...

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Main Authors: Ali Shahabi, Amir Hossein Kazemian
Format: Article
Language:English
Published: Islamic Azad University-Isfahan (Khorasgan) Branch 2023-06-01
Series:International Journal of Advanced Design and Manufacturing Technology
Subjects:
Online Access:https://admt.isfahan.iau.ir/article_697460_ca40d397d39f04750b51db53f563bcba.pdf
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author Ali Shahabi
Amir Hossein Kazemian
author_facet Ali Shahabi
Amir Hossein Kazemian
author_sort Ali Shahabi
collection DOAJ
description This work studies on analytical model of the single–stage spur planetary gear in form of lumped–parameter model. It includes key nonlinear factors of planetary gear vibration such as mesh stiffness and backlash of meshing gears. The planetary gear set is modeled as a set of lumped masses and springs and dynamic model of the planetary gear set is presented. Nonlinear equations of motion are presented for each component and each component has three degrees of freedom in planar motion. We have numerically evaluated a set of linear and nonlinear equations to obtain natural frequencies and analysis of vibration behavior of the system under nonlinear factors and fixed output. In previous researches, natural frequencies of planetary gears were evaluated from two points of view: the first one considered fixed output for planetary gears and the second one consists of free rotational output. In this research, the influence of the output flexibility is evaluated on natural frequencies of the planetary gear. Meanwhile, by considering the fixed output, vibration behavior of the nonlinear system is investigated. Results show that the most important effect of the output flexibility is on the principal natural frequency. Because of chaotic phenomenon, vibration behavior of components in translational directions is different.
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spelling doaj.art-bb07a7b812b64cb483645e403d1b071f2023-10-18T08:30:35ZengIslamic Azad University-Isfahan (Khorasgan) BranchInternational Journal of Advanced Design and Manufacturing Technology2252-04062383-44472023-06-01162354310.30486/admt.2022.697460697460Vibration Behavior of the Planetary Gear System by Considering the Fixed OutputAli Shahabi0Amir Hossein Kazemian1Department of Mechanical Engineering, University of Sistan and Baluchestan, Zahedan, Iran Nedayedanesh Institute of Higher Education of Hormozgan, Bandar Abbas, IranDepartment of Mechanical Engineering, University of Sistan and Baluchestan, Zahedan, IranThis work studies on analytical model of the single–stage spur planetary gear in form of lumped–parameter model. It includes key nonlinear factors of planetary gear vibration such as mesh stiffness and backlash of meshing gears. The planetary gear set is modeled as a set of lumped masses and springs and dynamic model of the planetary gear set is presented. Nonlinear equations of motion are presented for each component and each component has three degrees of freedom in planar motion. We have numerically evaluated a set of linear and nonlinear equations to obtain natural frequencies and analysis of vibration behavior of the system under nonlinear factors and fixed output. In previous researches, natural frequencies of planetary gears were evaluated from two points of view: the first one considered fixed output for planetary gears and the second one consists of free rotational output. In this research, the influence of the output flexibility is evaluated on natural frequencies of the planetary gear. Meanwhile, by considering the fixed output, vibration behavior of the nonlinear system is investigated. Results show that the most important effect of the output flexibility is on the principal natural frequency. Because of chaotic phenomenon, vibration behavior of components in translational directions is different.https://admt.isfahan.iau.ir/article_697460_ca40d397d39f04750b51db53f563bcba.pdfbacklashchaotic phenomenonmesh stiffnessnatural frequencyspur planetary gear
spellingShingle Ali Shahabi
Amir Hossein Kazemian
Vibration Behavior of the Planetary Gear System by Considering the Fixed Output
International Journal of Advanced Design and Manufacturing Technology
backlash
chaotic phenomenon
mesh stiffness
natural frequency
spur planetary gear
title Vibration Behavior of the Planetary Gear System by Considering the Fixed Output
title_full Vibration Behavior of the Planetary Gear System by Considering the Fixed Output
title_fullStr Vibration Behavior of the Planetary Gear System by Considering the Fixed Output
title_full_unstemmed Vibration Behavior of the Planetary Gear System by Considering the Fixed Output
title_short Vibration Behavior of the Planetary Gear System by Considering the Fixed Output
title_sort vibration behavior of the planetary gear system by considering the fixed output
topic backlash
chaotic phenomenon
mesh stiffness
natural frequency
spur planetary gear
url https://admt.isfahan.iau.ir/article_697460_ca40d397d39f04750b51db53f563bcba.pdf
work_keys_str_mv AT alishahabi vibrationbehavioroftheplanetarygearsystembyconsideringthefixedoutput
AT amirhosseinkazemian vibrationbehavioroftheplanetarygearsystembyconsideringthefixedoutput