非线性动力系统理论在机械故障诊断中的应用

Application of Nonlinear Dynamical System Theory on Machinery Diagnostics

从非线性动力系统理论的角度出发，对非线性动力系统进行了分析，据此建立了数学模型，并应用于实际的物理系统中．根据对Ｌｉａｐｕｎｏｖ指数的计算，分析了在非线性问题处理中各方法的优劣及其可靠性．作为尝试，文中试图利用非线性方法对故障进行分类，并对系统进行定性预测分析．

In this paper, an analysis on nonlinear dynamical system is conducted and base a mathematics model is setup. Then the model is applied to some physical system. According to the Liapunov exponent value, the reliability and performance of some methods in nonlinear problems are analyzed. As an attempt, these methods are tried to classify faults and give qualitafive prediction analysis of a system. The results show that these methods are successful in some extent.