This paper presents an investigation on nonlinear forced vibration characteristics of a spinning shaft-disk assembly resting on sliding bearing supports. Based on the Timoshenko beam theory and Kirchhoff plate theory, the coupled model of the rotor is established. The present model is validated through comparison with the experiment results for different structure parameters. Considering the gyroscopic effect and nonlinear oil film force, the equations of motion are derived by employing the Lagrange equation. Then, the modal synthesis method and the Runge-Kutta method are adopted to obtain forced vibration responses of the spinning assembly. Special attention is paid to examine the effect of spinning speed on the nonlinear vibration behaviors of the shaft-disk rotor system, which can play an especially important role in an actual project.

中文翻译：

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滑动轴承支撑下旋转轴-盘组件的非线性受迫振动分析

本文研究了滑动轴承支撑上的旋转轴-盘组件的非线性受迫振动特性。基于Timoshenko梁理论和Kirchhoff板理论，建立了转子的耦合模型。通过与不同结构参数的实验结果进行比较，对本模型进行了验证。考虑陀螺效应和非线性油膜力，采用拉格朗日方程推导出运动方程。然后，采用模态综合方法和Runge-Kutta方法获得了旋转组件的受迫振动响应。特别注意检查旋转速度对轴-盘转子系统非线性振动行为的影响，这在实际项目中可以发挥特别重要的作用。