中文摘要：

针对实际高速齿轮转子系统,建立了考虑齿轮啮合及扭转作用的弯扭耦合非线性振动模型,推导了不平衡转子弯扭耦合振动的动力学微分方程,通过数值仿真方法得到了工作转速下齿轮转子系统弯扭耦合振动的特征图形,得出齿轮啮合、扭转作用下的齿轮转子系统弯扭耦合振动的特征,研究了偏心距、齿轮啮合刚度等参数对系统振动响应的影响规律,为齿轮转子耦合系统的结构优化设计、诊断和安全经济运行提供一定的理论依据。

英文摘要：

The model of coupled bending and torsional nonlinear vibrations in which the gearing mesh and torsion action are considered is established for high-speed geared rotor-bearing system.The dynamics differential equation of coupled bending and torsional nonlinear vibrations is deduced for imbalance rotors.The characteristic graph of coupled bending and torsional vibrations is gained through the numerical simulation for geared rotor-bearing system under working speed. The coupled bending and torsional vibrations characteristic is educed under gearing mesh and torsion action.The effect law of eccentric distance parameter and gear stiffness parameter etc.is studied on the system vibration response.This study supplies a theory for optimum design and fault diagnosis and safe operation of geared rotor-bearing coupled system.