中文摘要：

为研究风电齿轮箱中高速级斜齿轮传动系统的动力学特性，在同时考虑输入/输出扭矩的时变性、齿轮偏心、综合传递误差、重力激励以及支撑轴承的非线性等因素的影响下，应用集中质量参数法建立了多自由度斜齿轮-转子-轴承弯扭轴耦合的动力学模型。在此基础上推导了风电齿轮箱高速级斜齿轮传动系统的动力学微分方程，并分析了转速、齿轮偏心、轴承游隙等参数对传动系统振动响应特性的影响。研究结果表明：由于弯扭轴耦合的作用，传动系统中扭转振动位移明显大于横向和轴向振动位移，故系统以扭转振动为主。随着转速的逐渐升高，振动位移显著增大，频率幅值发生明显的波动并且在转频附近出现了连续谱。随着偏心的增大，系统中各位置振动幅值明显增加，但对扭转方向的影响大于对横向和轴向振动的影响。轴承游隙对斜齿轮系统的动态特性影响不大，但轴承有其自身的谐振频率，在系统设计阶段需要注意避开轴承的变刚度频率对系统的影响。研究结果为风电齿轮箱传动系统的动态特性分析和故障诊断奠定了一定的基础。

英文摘要：

In order to research the dynamical responses of high-speed class helical gear transmission system with the wind turbine, the nonlinear dynamical model coupled with lateral, torsional and shaft for helical gear-rotor-bearing transmission system is established including the time-varying input/output torque, gear eccentricity, synthetic mesh errors, gravity and the nonlinearity of bearing. The dynamics differential equation is deuced by using Lagrange’s equation. On that basis, the dynamical characteristics with the effects of rotational speed, gear eccentricity, bearing clearance are analyzed. The simulation results reveal that the torsional vibration displacement is larger than those in lateral and shaft directions due to the influence of lateral-torsional-shaft coupled vibration, and the torsional vibration is the main vibration. With the increase of rotational speed, the vibration displacement increases obviously, the amplitudes of frequency exhibit significant fluctuation and the continuous spectrum components appear near the rotational frequency. The vibration responses of the system are significantly intensified with the increase gear eccentricity, which has deeper influence upon the vibration response in torsional direction than those other directions. The bearing clearance has not obviously effect on vibration response of the system, but the bearing has its own resonance frequency, and the effect of the variable stiffness frequency of the bearings on the system should be avoided during the system design. The research results lay a foundation for dynamical characteristics and fault diagnosis of the helical gear-rotor-bearing system of the wind turbine.