论文部分内容阅读
分别采用两种不同的截面建立 Poincaré映射 ,对转子 -弹性机壳系统的碰摩运动进行了研究 ,得到了该类分段光滑系统运动的一般特点和转子碰摩运动随碰撞刚度变化发生分岔的规律。研究表明 ,该系统的碰摩运动主要以混沌形式出现 ,但不同的周期窗口按一定规律嵌入混沌区内。随着定子碰撞刚度增加 ,碰摩运动将会加剧。然后由该系统导出了刚性转子碰摩的约束微分系统 ,从而将碰摩转子系统的两种不同描述形式统一起来 ,并分析了周期刚性碰摩运动的分岔情况
The Poincaré maps were established by two different cross-sections respectively. The rubbing motions of the rotor-elastic case system were studied. The general characteristics of the motion of the segmented smooth systems and the biaxiality of the rotor rubbing movements with the variation of the impact stiffness were obtained. The law. The research shows that the rubbing movement of this system mainly appears in the form of chaos, but different periodic windows are embedded in the chaotic area according to certain rules. As the stator collision stiffness increases, rubbing movement will intensify. Then the constrained differential system of the rigid rotor rubbing is deduced by the system, so that the two different description forms of the rubbing rotor system are unified, and the bifurcation of periodic rigid rubbing motion is analyzed