计入齿圈柔性的风电机组行星传动动力学研究

Dynamic Study on Planetary Gear Train of Wind Turbine Incorporating Gear Ring Flexibility

以风力发电机行星传动系统为研究对象,为揭示齿圈柔性对其动态性能的影响,将齿圈离散为多段刚性轮齿段,对每两轮齿段用理论长度为零的双向扭转弹簧连接。在行星架随动坐标系下,综合考虑了支撑刚度、齿轮啮合时变刚度和齿圈柔性,建立了风力发电机行星传动系统刚—柔耦合动力学模型。分析了各构件间的相对运动微位移及齿圈的受力情况,运用牛顿力学推出动力学方程;基于所建模型,得出了齿圈厚度的变化对其各节径固有频率的影响;发现了行星轮两种特殊啮合位置下齿圈的变形特点及所对应连接扭簧的扭转力矩和扭转变形角度间的关系。该结果可为风力发电机行星齿轮传动的设计提供理论依据。

Taking the wind turbine planetary transmission system as the research object,in order to reveal the influence of ring gear flexibility on its dynamic performance,the ring gear is divided into multi-segment rigid gear segments.For every two gear segments,the two-way torsional spring with theoretical length of zero.Under the follow-up coordinate system of the planetary carrier,rigid-flexible coupling dynamics model of the planetary transmission system of wind power generator is established by comprehensively considering the support stiffness,gear meshing time-varying stiffness and ring gear flexibility.The relative motion micro-displacement and ring gear forces were analyzed after the Newton mechanics was used to deduce the dynamic equations.Based on the model built,the influence of the change of ring gear thickness on the natural frequency of each pitch diameter is obtained.The relationship between the deformation characteristics of the ring gear and the torsional moment and the torsional deformation angle of the connecting torsion spring was found out under the two special meshing positions.The results provide a theoretical basis for the design of wind turbine planetary gear transmission.