考 虑 动 态 啮 合 参 数 与 时 变 齿 隙 的 含 质 量 偏 心 齿 轮系 统 动 力 学 特 性 分 析

Gear systems in precision machinery and aerospace applications are subjected to complex vibration problems due to mass eccentricity，time-varying backlash，and dynamic meshing parameter variations. A nonlinear dynamic model with six degrees of freedom is established，incorporating time-varying meshing stiffness, derived using the potential energy method and mass eccentricity. The Runge-Kutta method is employed to solve the system response under varying eccentricities and rotational speeds. Time-domain and frequency-domain analyses，phase portraits，and Poincaré maps are used to investigate the dynamic characteristics. The results indicate that mass eccentricity significantly influences system behavior，leading to the evolution from single-period to multi-period motions (e.g.，20-period cycles)，and aggravates bifurcation and oscillation phenomena. The findings provide theoretical support for structural optimization and vibration control of gear transmission systems.