论文部分内容阅读
应用现代非线性动力学理论，分析了带有一端支座松动故障的简单转子系统的复杂运动现象，讨论了转速变化时系统具有的多种形式的周期、拟周期和混沌运动。在拟周期与混沌运动的轨道中，轨迹的方向性可以更清楚地表现出来。这类系统的某些周期运动的映射点结构具有慢变特性，有些表现为长时间下的拟周期运动；另外某些Ｐｏｉｎｃａｒｅ映射点的结构随时间的变化出现分岔。系统的这些复杂运动特征可望用来诊断这一故障。
Based on the theory of modern nonlinear dynamics, the complex motion of a simple rotor system with one loose bearing on one end is analyzed. The periodic, quasi-periodic and chaotic motions of the system with varying rotational speeds are discussed. In the quasi-periodic and chaotic motion of the orbit, the trajectory of the direction can be more clearly manifested. The mapping point structures of some periodic motions of this kind of systems have slowly changing characteristics, some of them behave as quasi-periodic motions for a long time, and the bifurcations of some Poincare mapping points change with time. These complex kinematic features of the system are expected to be used to diagnose this failure.