橡胶轴承-转轴系统碰摩响应动力学特性研究

将橡胶轴承支撑的转轴/轴承系统简化为非线性弹性支撑的转轴/轴承系统。基于非线性动力学及分叉理论进行分析、研究，确定周期无碰摩响应边界、碰摩运动边界、稳定性边界。结果表明，同频全周碰摩、跳跃现象及碰摩响应在周期、非周期运动间过渡；通过对阻尼比、偏心率等系统参数对系统动态响应特性影响分析获得参数平面内不同碰摩响应区域边界。因而可较好理解系统参数与不同系统响应特性间关系。

Dynamic characteristics analysis of a rub-impact rubber bearing-shaft system

In this paper, the rubber bearing/shaft system is simplified into a nonlinear elastic bearing/shaft system. A general bearing/shaft rubbing system with nonlinear elastic support of stator is established and is analyzed by the modern nonlinear dynamics and bifurcation theories. The boundaries for the existence of the no-rub responses are determined analytically, and the synchronous full annular rub solution are derived and the stability is analyzed to determine the region of the synchronous full annular rub response. The results provide an opportunity for a better understanding of the dynamical characteristics, such as the synchronous full annular rub motion, the jump phenomena as well as the transition between the full annular periodic rub motion and the unstable rub motions. A systematic study on the influence of the system parameters such as damping and eccentricity on the dynamics characteristics is carried out. An overall picture of the response characteristics of this model is then obtained by drawing the existence boundaries in the parameter space. The present results provide good understanding on the relationship between the different rubbing responses and the system parameters.