中文摘要：

建立了带有非线性弹性支承的挤压油膜阻尼器转子系统动力学模型，采用Runge-Kutta数值方法计算得到了系统的非线性响应，同时分析了系统参数变化对系统响应的影响。研究结果表明：系统响应中存在周期、分叉、拟周期和混沌等多种运动形式，随着刚度非线性系数和偏心距的增加，系统的非线性特性变强。

英文摘要：

A dynamic model was established for a rotor system with squeeze film damper supported on nonlinear elastic foundation, and the nonlinear response of the system was simulated with Runge-Kutta numerical method, meanwhile, an analysis was conducted of the effect of the system parameter on the response of the rotor system. According to the research, there existed many kinds of behaviors such as periodic ,bifurcation,quasi-period and chaos in the system. Nonlinear characteristic of the rotor system would be more serious.with the increase of the nonlinear elastic coefficient and the eccentricity.