In this work, the nonlinear dynamic and force transmissibility characteristics of a flexible shaft–disk rotor system supported by suspension system with nonlinear stiffness and damping are investigated numerically. The distributed variables representing the elastic motions of the shaft are discretized using the Assumed Mode Method (AMM) and the equations of motion (EOM) are subsequently obtained using Lagrange’s equation. The Harmonic Balance (HB) method combined with a continuation scheme is used to determine the nonlinear frequency response and force transmissibility curves due to disk unbalance force. The effect of the bearing stiffness nonlinearity on the system dynamics when supported by stiff and soft linear bearing stiffness is investigated. In addition, the influence of the bearing damping nonlinearity is investigated and compared with that due to linear damping.

在这项工作中，数值研究了具有悬架系统和非线性刚度和阻尼的挠性轴盘转子系统的非线性动力和力传递特性。使用假设模式方法（AMM）离散化表示轴的弹性运动的分布变量，然后使用拉格朗日方程式获得运动方程式（EOM）。谐波平衡（HB）方法与连续方案相结合，用于确定由于磁盘不平衡力引起的非线性频率响应和力传递曲线。研究了刚性和软性线性轴承刚度支持时，轴承刚度非线性对系统动力学的影响。此外，