【摘要】 根据Jeffcott碰摩转子系统的非线性动力学方程,利用Poincaré映射图和全局分岔图对系统的混沌行为进行了分析,采用距离空间上的不动点定理分析了混沌控制后的距离空间结构,并构造压缩映射实现混沌控制.用线性压缩映射和小波函数构成的非线性映射对Jeffcott碰摩转子中的混沌行为进行数值仿真,能够把系统控制到不动点或稳定周期轨道,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.更多还原

【Abstract】 Based on the nonlinear dynamical equation of the rub-impact Jeffcott rotor,the chaotic behaviors of this system were analyzed by using Poincaré mapping and global bifurcation diagram.The structure of metric spaces after controlling chaos was analyzed by fixed point theorem on metric space.A method was used to control chaos by contraction-mapping.The chaotic behaviors of the Jeffcott rub-impact rotor system were imitated numerically by linear contraction-mapping and the nonlinear mapping on wavelet function.The Jeffcott rub-(impact) rotor system was controlled to fixed point or steady periodic orbits.The results can provide theory references to fault diagnoses,vibration control and safety operating of the rotor system.更多还原