Journal of South China University of Technology(Natural Science) >

2025 , Vol. 53 >Issue 10: 109 - 117

DOI: https://doi.org/10.12141/j.issn.1000-565X.250046

Mechanical Transmission System

Nonlinear Dynamic Analysis of Ravigneaux Planetary Gear Transmission System

  • MO Shuai ,
  • HUANG Taojiang ,
  • HU Yongjun ,
  • CHEN Sujiao ,
  • SHI Wenai ,
  • ZHANG Wei
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  • 1.State Key Laboratory of Featured Metal Materials and Life-Cycle Safety for Composite Structures，Guangxi University，Nanning 530004，Guangxi，China
    2.School of Mechanical Engineering，Guangxi University，Nanning 530004，Guangxi，China
    3.Liugong Liuzhou Driveline Co. ，Ltd. ，Liuzhou 545007，Guangxi，China
    4.Fangsheng Axle （Liuzhou） Co. ，Ltd. ，Liuzhou 545006，Guangxi，China
莫帅（1987—），男，博士，教授，主要从事齿轮传动系统动力学研究。E-mail： moshuai2010@163.com

Received date: 2025-02-28

  Online published: 2025-05-16

Supported by

the Guangxi Science and Technology Major Program(AA24263074);the Guangxi Natural Science Fund for Distinguished Young Scholars(2025GXNSFFA069016);the National Natural Science Foundation of China(52265004)

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Abstract

To enhance the transmission stability during vehicle gearbox operation, this paper analyzed the nonlinear vibration characteristics of the Ravigneaux planetary gear transmission system in the transmission, and established a dynamic model of the Ravigneaux planetary gear transmission system including a variety of nonlinear factors. The model comprehensively considers nonlinear factors such as time-varying meshing stiffness, time-varying meshing damping, comprehensive transmission error, dynamic meshing force and time-varying friction force. Based on Newton’s second law, the nonlinear dynamic differential equations of the system were derived, and the Runge-Kutta numerical integration method was used to iteratively solve the differential equations of the system to obtain the dynamic response characteristics of the system under different external excitation frequencies. To investigate the impact of different excitation frequencies on the vibration displacement of the front and rear sun gear pairs, this study constructed time history diagrams, frequency spectra, phase portraits, and Poincare maps. The analysis shows that the vibration displacement evolution law of the two gear pairs is consistent. In order to further reveal the evolution law of the nonlinear response of the system, the bifurcation diagram and the spatial waterfall diagram were used to analyze the influence of the external excitation frequency on the nonlinear behavior of the system and reveal its evolution process. The results show that vibration displacement of the dual gear pairs undergoes a nonlinear evolution path along with variations in external excitation frequency: transitioning from chaotic motion through period-doubling bifurcation, and ultimately converging to periodic motion. By reasonably adjusting the external excitation frequency, unsteady vibrations can be effectively suppressed throughout the system, transient impact loads reduced, thereby enhancing operational stability and extending gear transmission service life. This research provides both theoretical foundations and engineering references for designing and optimizing high-performance, highly-reliable transmissions for new energy vehicles.

Key words： Ravigneaux planetary gear; nonlinear systems; dynamic response; bifurcation and chaos

Cite this article

MO Shuai , HUANG Taojiang , HU Yongjun , CHEN Sujiao , SHI Wenai , ZHANG Wei . Nonlinear Dynamic Analysis of Ravigneaux Planetary Gear Transmission System[J]. Journal of South China University of Technology(Natural Science), 2025 , 53(10) : 109 -117 . DOI: 10.12141/j.issn.1000-565X.250046

References

[1] WANG C， YU L， WANG H，et al ．Fault modulation mechanism and kinematic modeling of planetary gear with local fault［J］．Journal of Sound and Vibration，2024，590：118572/1-16.
[2] NIE Y， WANG L， LI F，et al ．A novel mathematical model of transmission path effect for the research of vibration characteristics of planetary gearboxes［J］．Mechanism and Machine Theory，2022，176：105022/1-19.
[3] LAI J， LIU Y， XU X，et al ．Dynamic modeling and analysis of Ravigneaux planetary gear set with unloaded floating ring gear［J］．Mechanism and Machine Theory，2022，170：104696/1-18.
[4] LIU Y， ZHANG M， LAI J，et al ．Dynamic characteristics of the floating non-loaded ring gear with external spline teeth in Ravigneaux planetary gear sets［J］．Engineering Failure Analysis，2022，142：106726/1-14.
[5] ZANASI R， TEBALDI D ．Modeling of complex planetary gear sets using power-oriented graphs［J］．IEEE Transactions on Vehicular Technology，2020，69（12）：14470-14483.
[6] LHOMME W， BOUSCAYROL A， SYED S A，et al ．Energy savings of a hybrid truck using a Ravigneaux gear train［J］．IEEE Transactions on Vehicular Technology，2017，66（10）：8682-8692.
[7] 莫帅，曾彦钧，王震，等 ．高速重载人字齿轮传动非线性动力学分析［J］．力学学报，2023，55（10）：2381-2392.
  MO Shuai， ZENG Yanjun， WANG Zhen，et al ．Nonlinear dynamic analysis of high speed and heavy load herringbone gear transmission［J］．Chinese Journal of Theoretical and Applied Mechanics，2023，55（10）：2381-2392.
[8] 莫帅，黄祖瑞，刘翊恒，等 ．航空非正交偏置面齿轮分汇流系统非线性动力学［J］．力学学报，2024，56（4）：1110-1122.
  MO Shuai， HUANG Zurui， LIU Yiheng，et al ．Non-linear dynamics of aeronautical non-orthogonal offset gear split flow system［J］．Chinese Journal of Theoretical and Applied Mechanics，2024，56（4）：1110-1122.
[9] MO S， WANG L， HU Q，et al ．Coupling failure dynamics of tooth surface morphology and wear based on fractal theory［J］．Nonlinear Dynamics，2024，112（1）：175-195.
[10] MO S， ZHANG Y， LUO B，et al ．The global behavior evolution of non-orthogonal face gear-bearing transmission system［J］．Mechanism and Machine Theory，2022，175：104969/1-26.
[11] 常乐浩，刘更，吴立言 ．齿轮综合啮合误差计算方法及对系统振动的影响［J］．机械工程学报，2015，51（1）：123-130.
  CHANG Lehao， LIU Geng， WU Liyan ．Determination of composite meshing errors and its influence on the vibration of gear system［J］．Journal of Mechanical Engineering，2015，51（1）：123-130.
[12] 陈再刚，唐亮，杨吉忠，等 ．考虑齿轮齿条动态激励的山地齿轨车辆-轨道耦合动力学特性分析［J］．机械工程学报，2023，59（8）：163-173.
  CHEN Zaigang， TANG Liang， YANG Jizhong，et al ．Dynamic characteristic analysis of racked railway vehicle-track coupling system with considering the dynamic excitation of gear-rack transmission［J］．Journal of Mechanical Engineering，2023，59（8）：163-173.
[13] 何泽银，易锋，杨震，等 ．计入冲击与受载齿轮副时变啮合刚度解析算法［J］．湖南大学学报（自然科学版），2024，51（12）：38-46.
  HE Zeyin， YI Feng， YANG Zhen，et al ．Analytical algorithm for time varying mesh stiffness of gear pairs considering impact and loading［J］．Journal of Hunan University （Natural Sciences），2024，51（12）：38-46.
[14] JIANG F， DING K， HE G，et al ．Vibration fault features of planetary gear train with cracks under time-varying flexible transfer functions［J］．Mechanism and Machine Theory，2021，158：104237/1-19.
[15] 耿智博，肖科，王家序，等 ．汽车变速器齿轮传动系统动态特性研究及优化［J］．湖南大学学报（自然科学版），2018，45（8）：22-31.
  GENG Zhibo， XIAO Ke， WANG Jiaxu，et al ．Analysis and optimization design on dynamic characteristic of gear transmission system of automobile transmission［J］．Journal of Hunan University （Natural Sciences），2018，45（8）：22-31.
[16] LIU W， SHI K， SUN H L，et al ．Modulation sideband analysis of a two-stage planetary gear system with an elastic continuum ring gear［J］．Journal of Sound and Vibration，2022，527：116874/1-21.
[17] 常乐浩，王佩蔺，黄绮笛，等 ．考虑齿背啮合的齿轮系统动态接触与动力学耦合分析［J］．华南理工大学学报（自然科学版），2024，52（12）：22-31.
  CHANG Lehao， WANG Peilin， HUANG Qidi，et al ．Coupled analysis of dynamic contact and dynamics of gear system considering tooth back meshing［J］．Journal of South China University of Technology （Natural Sciences Edition），2024，52（12）：22-31.
[18] JORDAN J M， DE S B， BLOCKMANS B，et al ．A misaligned formulation for planetary gears with analytical 3D contact characterization［J］．Nonlinear Dynamics，2024，112（19）：16811-16836.
[19] LIU J， LI X， XIA M ．A dynamic model for the planetary bearings in a double planetary gear set［J］．Mechanical Systems and Signal Processing，2023，194：110257/1-23.
[20] LIU Z， MAO S， LI L，et al ．Research on vibration spectral structures of planetary gearboxes based on a universal equation of phenomenological modeling［J］．Nonlinear Dynamics，2024，112（10）：8129-8151.
[21] ZGHAL B， GRAJA O， DZIEDZIECH K，et al ．A new modeling of planetary gear set to predict modulation phenomenon［J］．Mechanical Systems and Signal Processing，2019，127：234-261.
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