华南理工大学学报（自然科学版）2025，Vol.53Issue(10)：109-117,9.DOI:10.12141/j.issn.1000-565X.250046
拉维娜式行星齿轮传动系统的非线性动力学分析
Nonlinear Dynamic Analysis of Ravigneaux Planetary Gear Transmission System
摘要
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.关键词
拉维娜式行星齿轮/非线性系统/动态响应/分岔与混沌Key words
Ravigneaux planetary gear/nonlinear systems/dynamic response/bifurcation and chaos分类
机械制造引用本文复制引用
莫帅,黄涛疆,胡勇军,陈素姣,施文爱,张伟..拉维娜式行星齿轮传动系统的非线性动力学分析[J].华南理工大学学报（自然科学版）,2025,53(10):109-117,9.基金项目
广西科技重大专项(AA24263074,AA23073019) （AA24263074,AA23073019）
广西杰出青年科学基金项目(2025GXNSFFA069016) （2025GXNSFFA069016）
国家自然科学基金项目(52265004) Supported by the Guangxi Science and Technology Major Program(AA24263074,AA23073019),the Guangxi Natural Science Fund for Distinguished Young Scholars(2025GXNSFFA069016)and the National Natural Science Foun-dation of China(52265004) （52265004）
