人字齿轮系统齿根动应力计算与对比试验

Contrast verification and calculation of herringbone gear tooth root dynamic stress

摘要:

为了准确地计算人字齿轮的齿根动应力,建立了考虑误差激励、时变啮合刚度激励、啮入冲击激励和齿侧间隙影响的人字齿轮传动系统十二自由度啮合型弯-扭-轴耦合动力学模型,提出考虑实时动载荷对齿间载荷分配系数影响的齿根动应力计算方法．以某船用人字齿轮副为实例进行的仿真计算结果表明:随着外载荷和输入转速的增加,人字齿轮传动系统齿根动应力最大值均呈增加趋势;由于齿侧间隙的存在,随着外载荷增加,齿根动应力的相对波动趋势经历了先减小后增大的过程．试验数据与数值仿真基本吻合,较准确地反映了齿根动应力的波动趋势．

Abstract:

To accurately calculate the herringbone gear tooth root dynamic stress, nonlinear herringbone gear vibration model of twelve degrees of freedom is established considering transmission error, meshing stiffness, corner mesh impact, and backlash. New method for calculating tooth root dynamic stress is put forward considering the influence of real-time dynamic load on the load distribution coefficient. Taking a ship herringbone gear transmission system as an example, the results consistently indicate that herringbone gear tooth root dynamic stresses both increase with the increasing of load torque and driving wheel rotational speed. With the external load increases, the relative fluctuations of the dynamic stress in meshing tooth root decreases first and then increases due to the influence of teeth backlash. Numerical simulation and experimental data are in good agreement. The method can more accurately reflect the trends of tooth root stress fluctuations.