机械设备故障信号的李雅普诺夫指数识别

Lyapunov exponent recognition for the fault signal of mechanical equipment

文章对机械设备故障信号的李雅普诺夫指数进行了研究 ,讨论了该指数的计算方法 ,并对典型吸引子的李氏指数进行了验证。利用该指数判断系统是否处于混沌状态 ,是否应采用混沌相空间重构的方法对设备进行研究。以注水泵为例进行实验研究表明 ,若超过全部数据的 1/ 3的李氏指数为负数则系统非处于混沌状态。

In this paper,the author reseached the Lyapunov exponent of the fault signal,and discussed the arithmetic of the exponent and used the arithmetic to calculate the typical attractor,also used it to judge whether the system is in the chaotic state and whether using chaos arithmetic to research the equipment.The vibration signal of the water flooding pump is studied and the conclusion is obtained that the system is not in the chaotic state if more than one-third Lyapunov exponents are negative.