安装误差对变刚度系数的复合行星轮系均载特性的影响分析

摘要

This paper proposes a nonlinear time-varying transverse-torsional coupled model for a compound planetary gear set based on the theory of the concentrated parameter.The influence of the position errors and the phase angle on the load-sharing characteristics is analyzed by considering the bearing stiffness,the time-varying meshing stiffness and the gear backlashes of the gears.The analysis results show that the position errors of the central member will make equal periodic changes for the system,while the position errors of the planetary gears will make a sustained partial load. Meanwhile,it has no influence on the load-sharing characteristics of the system when the phase angle of the position errors exists on the central members.However,it has some influence when the phase angle of the position errors exists on the planetary gears,and the load-sharing coefficient is the largest when the phase angle is 90 degrees.%以复合行星齿轮传动系统为对象，采用集中参数法，建立多自由度平移－扭转耦合非线性动力学模型。该模型在综合考虑轴承支承刚度、时变啮合刚度、齿侧间隙和齿轮安装误差的基础上，研究安装误差位置及其相位角对系统均载特性的影响。研究结果表明：中心构件的安装误差对系统产生均等的周期性影响，行星轮的安装误差会导致行星轮出现持续偏载或者均载现象；中心构件安装误差的相位角对系统均载系数没有影响，而行星轮安装误差的相位角对系统有影响，且沿切向分布时，影响最大。