Nonlinear Dynamics of Helicopter Planetary Gear-rotor System Caused by Stiffness Variation

A nonlinear dynamics model of the planetary gears-rotor system is established with a developed internal mesh stiffness embedded with ring gear stiffness. The torsional effect of rotor and pivotal parameters from gears including gear backlash, time-varying mesh stiffness and comprehensive transmissio...

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Main Authors: Lanlan Hou, Mingqiang Li, Guosheng Wang, Lingyun Lai, Hao Chen, Yuping Huang
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Transmission 2021-09-01
Series:Jixie chuandong
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Online Access:http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2021.09.022
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author Lanlan Hou
Mingqiang Li
Guosheng Wang
Lingyun Lai
Hao Chen
Yuping Huang
author_facet Lanlan Hou
Mingqiang Li
Guosheng Wang
Lingyun Lai
Hao Chen
Yuping Huang
author_sort Lanlan Hou
collection DOAJ
description A nonlinear dynamics model of the planetary gears-rotor system is established with a developed internal mesh stiffness embedded with ring gear stiffness. The torsional effect of rotor and pivotal parameters from gears including gear backlash, time-varying mesh stiffness and comprehensive transmission error are incorporated. Responses characteristic are analyzed with bifurcation diagrams, the largest Lyapunov exponents (LLE), Poincaré maps and phase diagrams. The torsional vibration displacement response between gear and rotor is studied, and the influence law of torsional stiffness ratio between rotor shaft and drive shaft is analyzed. It is found that the system exhibits nonlinear characteristic, enters into chaotic motion through quasi-periodic bifurcation and period-doubling bifurcation, threshold values for stiffness ratios to avoid bifurcation and chaos are obtained. The research provides a reference of undesirable torsional behaviors in dynamic designing and vibration controlling for planetary gears-rotor systems in helicopter main reducer transmission.
format Article
id doaj-art-3b7689e4442a43bd8a0e1a74eb2f3470
institution Kabale University
issn 1004-2539
language zho
publishDate 2021-09-01
publisher Editorial Office of Journal of Mechanical Transmission
record_format Article
series Jixie chuandong
spelling doaj-art-3b7689e4442a43bd8a0e1a74eb2f34702025-01-10T14:47:54ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392021-09-014514515018848713Nonlinear Dynamics of Helicopter Planetary Gear-rotor System Caused by Stiffness VariationLanlan HouMingqiang LiGuosheng WangLingyun LaiHao ChenYuping HuangA nonlinear dynamics model of the planetary gears-rotor system is established with a developed internal mesh stiffness embedded with ring gear stiffness. The torsional effect of rotor and pivotal parameters from gears including gear backlash, time-varying mesh stiffness and comprehensive transmission error are incorporated. Responses characteristic are analyzed with bifurcation diagrams, the largest Lyapunov exponents (LLE), Poincaré maps and phase diagrams. The torsional vibration displacement response between gear and rotor is studied, and the influence law of torsional stiffness ratio between rotor shaft and drive shaft is analyzed. It is found that the system exhibits nonlinear characteristic, enters into chaotic motion through quasi-periodic bifurcation and period-doubling bifurcation, threshold values for stiffness ratios to avoid bifurcation and chaos are obtained. The research provides a reference of undesirable torsional behaviors in dynamic designing and vibration controlling for planetary gears-rotor systems in helicopter main reducer transmission.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2021.09.022Helicopter main reducerPlanetary gears-rotor systemNonlinear dynamicsBifurcationChaos
spellingShingle Lanlan Hou
Mingqiang Li
Guosheng Wang
Lingyun Lai
Hao Chen
Yuping Huang
Nonlinear Dynamics of Helicopter Planetary Gear-rotor System Caused by Stiffness Variation
Jixie chuandong
Helicopter main reducer
Planetary gears-rotor system
Nonlinear dynamics
Bifurcation
Chaos
title Nonlinear Dynamics of Helicopter Planetary Gear-rotor System Caused by Stiffness Variation
title_full Nonlinear Dynamics of Helicopter Planetary Gear-rotor System Caused by Stiffness Variation
title_fullStr Nonlinear Dynamics of Helicopter Planetary Gear-rotor System Caused by Stiffness Variation
title_full_unstemmed Nonlinear Dynamics of Helicopter Planetary Gear-rotor System Caused by Stiffness Variation
title_short Nonlinear Dynamics of Helicopter Planetary Gear-rotor System Caused by Stiffness Variation
title_sort nonlinear dynamics of helicopter planetary gear rotor system caused by stiffness variation
topic Helicopter main reducer
Planetary gears-rotor system
Nonlinear dynamics
Bifurcation
Chaos
url http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2021.09.022
work_keys_str_mv AT lanlanhou nonlineardynamicsofhelicopterplanetarygearrotorsystemcausedbystiffnessvariation
AT mingqiangli nonlineardynamicsofhelicopterplanetarygearrotorsystemcausedbystiffnessvariation
AT guoshengwang nonlineardynamicsofhelicopterplanetarygearrotorsystemcausedbystiffnessvariation
AT lingyunlai nonlineardynamicsofhelicopterplanetarygearrotorsystemcausedbystiffnessvariation
AT haochen nonlineardynamicsofhelicopterplanetarygearrotorsystemcausedbystiffnessvariation
AT yupinghuang nonlineardynamicsofhelicopterplanetarygearrotorsystemcausedbystiffnessvariation