Manufacturing errors widely exist in and deteriorate the dynamic property of planetary gear train (PGT). To solve this problem, the ring gear is often designed with a thin rim to compensate for the effects of manufacturing errors via the elastic deflections of the rim. Existing dynamic models of the PGT only consider the effects of either the elasticity of the rim of the ring gear or the manufacturing errors. The coupling effects of manufacturing errors and the flexible ring gear are ignored. To understand the dynamic behaviors of the PGT better, a dynamic model of the PGT coupled with typical manufacturing error and flexible ring gear is developed in this study. The tooth contact analysis of the ring-planet mesh, which is calculated based on the potential energy method and uniformly curved Timoshenko beam theory, is studied using the influence coefficient method. A numerical algorithm is proposed to solve the integrated dynamic equations of the PGT. Calculated results show that the dynamic features of the PGT are complex, and the load sharing characteristic is improved when the flexible ring gear is incorporated.

行星齿轮系（PGT）普遍存在制造误差，并使动态特性恶化。为了解决这个问题，齿圈通常设计成具有薄的轮辋，以通过轮辋的弹性挠度补偿制造误差的影响。现有的PGT动力学模型仅考虑齿圈轮缘弹性或制造误差的影响。制造误差和挠性齿圈的耦合效应被忽略。为了更好地了解PGT的动态行为，本研究建立了PGT的动态模型，并结合了典型的制造误差和柔性齿圈。基于势能法和均匀弯曲的Timoshenko梁理论计算的环形行星网格的齿接触分析，使用影响系数法进行研究。提出了一种数值算法来求解PGT的集成动力学方程。计算结果表明，PGT的动态特性复杂，并结合了柔性齿圈，改善了负荷分配特性。