In a high-performance transmission, rolling bearings play a crucial role in supporting the loaded shafts and gear mesh whilst minimising friction. Prediction of critical speeds and dynamic responses is important to avoid prolonged periods of elevated vibration amplitudes, which can contribute to premature bearing and gearbox failure. Nonlinearities such as backlash and time-varying stiffnesses can lead to complex coupled dynamics between gears and bearings. In the current study, an 8-speed transmission is discretized and modelled by the finite element method. The eigenproblem is solved using damped modal analysis considering gyroscopic effects. Time-varying stiffness data and backlashes are introduced as nonlinearities. The system response is compared for cases of linear and nonlinear bearings, and rigid and flexible shafts to ascertain the significance of elasticity. The flexible model improves the accuracy of bearing load oscillation by altering the transfer path between gears and bearings. This provides an advancement upon existing works, where shaft dynamics are often simplified. Furthermore, it is shown that the combination of local nonlinear effects and flexible components significantly changes the response of the system and the bearing life prediction for a system-level analysis.

在高性能变速器中，滚动轴承在支撑负载轴和齿轮啮合同时最大限度地减少摩擦方面起着至关重要的作用。临界速度和动态响应的预测对于避免长时间升高的振动幅度很重要，这可能导致轴承和齿轮箱过早失效。诸如齿隙和随时间变化的刚度之类的非线性会导致齿轮和轴承之间复杂的耦合动力学。在当前的研究中，一个 8 速变速器被离散化并通过有限元方法建模。使用考虑陀螺效应的阻尼模态分析来解决本征问题。随时间变化的刚度数据和反冲被引入为非线性。比较线性和非线性轴承情况下的系统响应，以及刚性和柔性轴来确定弹性的重要性。灵活的模型通过改变齿轮和轴承之间的传递路径来提高轴承载荷振荡的精度。这提供了对现有工程的改进，其中轴动力学通常被简化。此外，结果表明，局部非线性效应和柔性组件的组合显着改变了系统的响应和系统级分析的轴承寿命预测。