转矩分流式齿轮传动系统的非线性动力学特性

为研究转矩分流式齿轮传动系统的非线性动力学特性，建立系统的非线性动力学模型，考虑了齿侧间隙、时变刚度、综合传动误差、阻尼和外激励等参数。使用PNF(Poincaré-Newton-Floquet)方法对系统的动力学微分方程进行求解发现，在不同的参数条件下系统会出现4种动态响应：简谐响应、次谐波响应、拟周期响应及混沌响应。4种状态下的时间历程、相图、Poincaré映射图、快速傅里叶变换(Fast Fourier transform，FFT)频谱图表明该系统有很强的非线性特性，应使用非线性理论进行更深入的研究。

Nonlinear Dynamics Characteristics of Split-torque Gear Transmission System

A nonlinear dynamic model of a torque-split gear transmission system is presented to analyze the nonlinear dynamic characteristics. This model includes backlashes, time-varying stiffness, composite transmission errors, damping, and external excitation, etc. The PNF(Poincaré-Newton-Floquet) method is used to solve the dynamic differential equations. Four kinds of forced steady state responses, i.e. simple harmonic, sub-harmonic, quasi-periodic and chaotic responses, are obtained for different parameters and classified based on time histories, phase plane plots, Poincaré maps and fast Fourier transform spectra. The results show that the system has highly nonlinear dynamic characteristics and should be researched more deeply by using nonlinear vibration theories.