Ball bearings are key components in the gear transmission system. Supported ball bearings have great influences on the vibrations of the gear transmission system, especially the presence of the local faults. Although some reported works formulated the local fault in the supported bearings of the gear transmission system, the box and shaft were considered as rigid bodies. To overcome this problem, a rigid-flexible coupling dynamic model for a flexible gearbox with the supported ball bearings is developed, which cannot be described by the previous multibody models. The local fault in the supported bearing is described by a time-varying impact force model with a half-sine profile. The bearing clearance, flexible shaft, and box are considered in the rigid-flexible coupling dynamic model. The flexible shaft and box are formulated by a finite element method. The damping and contact stiffness in the bearings and gears are obtained by the previous methods in the listed works. The frictions between the mating components are formulated by the Coulomb friction model. An experimental study is applied to validate the rigid-flexible coupling dynamic model. The effects of the faults on the vibration transmission characteristics are investigated. The results provide that the local fault in the supported bearings will greatly affect the vibrations of the gearbox system. Moreover, it depicts that the vibration collection point for the defective bearings should be located at the same side to obtain better singles. This work can provide a more reasonable method for understanding the vibration transmission characteristics of the gearbox system with the local faults in the supported bearings than the reported multibody models.

球轴承是齿轮传动系统中的关键组件。支撑的球轴承对齿轮传动系统的振动有很大的影响，特别是局部故障的存在。尽管一些已报道的工作阐明了齿轮传动系统支撑轴承中的局部故障，但仍将齿轮箱和轴视为刚性体。为了克服这个问题，开发了用于带有支撑球轴承的柔性齿轮箱的刚柔耦合动力学模型，以前的多体模型无法描述该模型。带有半正弦曲线的时变冲击力模型描述了支撑轴承中的局部故障。在刚柔耦合动力学模型中考虑了轴承间隙，挠性轴和箱体。挠性轴和箱体是通过有限元方法制定的。轴承和齿轮的阻尼和接触刚度可通过所列方法中的先前方法获得。配合部件之间的摩擦由库仑摩擦模型表示。应用实验研究来验证刚柔耦合动力学模型。研究了故障对振动传递特性的影响。结果表明，支撑轴承中的局部故障将极大地影响变速箱系统的振动。此外，它还描述了有缺陷轴承的振动收集点应位于同一侧，以获得更好的单根。