行星轮系故障状态下分岔与混沌特性分析
Bifurcation and Chaos Characteristics of Planetary Gear Train with Fault

为研究行星轮系的故障特性，分别建立了含行星轮断齿和磨损故障的行星轮系量纲一非线性动力学方程。利用数值方法对建立的非线性微分方程进行求解，获得系统的分岔图、相图及Poincaré截面，研究行星轮断齿故障、行星轮全齿磨损故障随激励频率变化的分岔特性及故障特性，并分析了啮合阻尼比及外部激励对系统的影响。研究发现，含断齿故障的行星轮系运动状态的变化规律；行星轮全齿磨损故障对系统分岔特性的影响；啮合阻尼比与外部激励对系统混沌特性的影响。
In order to investigate the fault characteristic of planetary gear train, nonlinear dimensionless dynamical equations of planetary gear train with the chipping and wear fault of planetary gear are established respectively and solved by using numerical method. The bifurcation properties and fault properties of planetary gear train with chipping fault and wear fault are analyzed by using bifurcation diagram, phase contrail and Poincaré section with an excitation frequency increase. The influence of the damping coefficient and external excitation on the system is analyzed. The result shows the moving rules of planetary gear with chipping fault, the effect of the whole tooth wear fault of planetary gear on the bifurcation characteristics, and the influence of the damping coefficient and external excitation on the chaotic characteristic