挤压油膜阻尼器－滑动轴承－刚性转子系统的稳定性及分岔行为

The Stability and Bifurcation of a Squeeze Film Damper Sliding Bearing Rigid Rotor System

对挤压油膜阻尼器－滑动轴承－转子系统的稳定性及分岔行为进行了研究，由于该动力系统为一强非线性系统，具有复杂的非线性现象。本文采用Ｆｌｏｑｕｅｔ理论对其周期解的稳定性进行了计算分析：随着系统参数的变化，该系统将出现稳态周期解、准周期分岔、倍周期分岔。文中也对系统平衡点的稳定性进行了分析。

The stability and bifurcation of a squeeze film damper sliding bearing rigid rotor system are investigated, some complex phenomena are appeared because of its strong nonlinear property. The Floquet theory is applied to study the stability and the bifurcation of periodic solution. It is found that periodic solution quasi periodic bifurcation, period doubling bifurcation occur with certain parameters. Hopf bifurcation also occurs in the study of equilibrium points. When the periodic solution is unstable, the power spectrum of displacement shows that the motion is dominated by a subharmonic motion, which is undesirable in practice.