Planet gear systems (PGSs) are key components of transmission mechanisms. Structural and material characteristics of gearbox and shaft can affect the support stiffness and vibrations of PGSs. The ring gear flexibility should affect the vibrations of PGSs too. However, most previous work did not completely consider the effects of the ring gear flexibility on the vibrations of PGSs and flexible supports of ring and sun gears. Thus, this paper presents a flexible-rigid coupling multi-body dynamic (FMBD) model for a PGS with the flexible supports and ring gear flexibility. A finite element model of ring gear is established to formulate the ring gear flexibility. The influences of clearance and damping of planet bearings on the vibrations of PGS are considered. The effects of flexible supports and ring gear flexibility on the vibrations of PGS under different moment and speed conditions are studied. The statistical parameters and peak frequencies of PGS from the proposed FMBD and previous rigid multi-body dynamic (RMBD) models are compared. The results denote that the flexible support has a great effect on the vibrations of PGS. This paper can provide some guidance for the support structure design and vibration control for PGSs.

行星齿轮系统（PGS）是传动机构的关键组件。齿轮箱和轴的结构和材料特性会影响PGS的支撑刚度和振动。齿圈的柔韧性也应影响PGS的振动。但是，大多数以前的工作并未完全考虑齿圈柔韧性对PGS的振动以及齿圈和太阳轮柔韧性支撑的影响。因此，本文提出了一种具有挠性支撑和齿圈挠性的PGS挠性-刚性耦合多体动力学（FMBD）模型。建立了齿圈的有限元模型来表达齿圈的柔韧性。考虑了行星轴承的游隙和阻尼对PGS振动的影响。研究了挠性支撑和齿圈挠性对PGS在不同力矩和速度条件下振动的影响。比较了建议的FMBD和先前的刚性多体动力学（RMBD）模型中PGS的统计参数和峰值频率。结果表明，柔性支撑对PGS的振动影响很大。本文可以为PGS的支撑结构设计和振动控制提供一些指导。