为提升车辆变速器运行过程中的传动平稳性，该文针对变速器中的拉维娜式行星齿轮传动系统，深入分析其非线性振动特性，建立了一种包含多种非线性因素耦合的拉维娜式行星齿轮传动系统动力学模型。该模型综合考虑时变啮合刚度、时变啮合阻尼、综合传动误差、动态啮合力以及时变摩擦力等非线性因素。基于牛顿第二定律推导出系统的非线性动力学微分方程组，并采用Runge-Kutta数值积分方法对系统微分方程组进行迭代求解，得到系统在不同外部激励频率条件下的动态响应特性。为研究不同激励频率对前、后太阳轮齿轮副振动位移的影响，该文绘制了时间历程图、频谱图、相图以及Poincare图。分析表明，两条齿轮副的振动位移演化规律呈现出一致性。为进一步揭示系统非线性响应演化规律，采用分岔图与空间瀑布图分析外部激励频率对系统非线性行为的影响并揭示其演化过程。结果表明：两条齿轮副的振动位移随着外部激励频率的变化，经历了混沌运动、倍周期分岔，最终达到单周期运动的非线性演化路径。通过合理调节外部激励频率，可有效抑制整个系统的非稳态振动，减小冲击载荷，从而提升系统的稳定性并延长齿轮传动寿命。该研究为实现高性能、高可靠的新能源汽车变速器的设计与优化提供了理论依据和工程参考。

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.