碰摩转子系统的混沌行为控制研究

Control of Chaotic Behavior for a Rubbing Rotor System

根据Jeffcott碰摩转子系统的非线性动力学方程,利用时域波形图、轴心轨迹和Poincare映射图以及全局分岔图对系统的混沌行为进行分析,应用线性压缩映射和小波函数构成的非线性映射对碰摩转子中的混沌行为进行数值仿真,使其控制到稳定周期轨道。研究结果为转子系统的故障诊断、振动控制及安全运行提供了理论参考。

Based on the nonlinear kinetic equation of the rubbing Jeffcott rotor, the chaotic behaviors of this system have been firstly analyzed by using the time domain waveform, the axis path and Poincare mapping, and the global bifurcation diagram. They also have had a numeric simulation by the linear contraction-mapping and the nonlinear mapping on wavelet function, thus the system can be controlled to work on the steady periodic orbits. The results will provide theoretical reference for fault diagnoses, vibration control and safety operating of the rotor system.