摘要
采用不连续穿越映射技术,Jeffcott碰摩转子系统的映射在擦边碰撞附近可以近似为在一个方向上有平方根伸缩的四维映射,本文对此映射的动力学行为进行了研究,而且发现了有大量的混沌现象存在.采用非线性反馈混沌控制方法,通过选取合适的控制增益参数,可将碰摩转子映射系统的混沌运动控制到有规则的擦边周期1轨道和单点碰摩周期2轨道.数值模拟证实了分析结果.
Adopting the method of discontinuity bypass mapping, the Poincare mapping of Jeffcott model near a grazing orbit was estimated as a four-dimensional mapping with square-root compressing or stretching at one direction, from which many chaos motions were found by researching the mapping. The nonlinear feedback chaos control method was adopted for the four-dimensional piecewise-smooth rub-impact rotor mapping systems＇. The rub-impact motions were stabilized into the grazing period-1 motion or single rub-impact period-2 motion by choosing the gain of control properly. The numerical simulation verified the analysis.
出处
《动力学与控制学报》
2007年第1期30-33,共4页
Journal of Dynamics and Control
关键词
转子系统
碰摩
擦边
混沌控制
非线性反馈控制
单碰周期运动
数值模拟
rotor system, rub-impact, grazing, control of chaos, impact periodic motion, numerical simulation nonlinear feedback control, single
