论述了分数阶模糊函数的定义、性质、算法,提出了一种基于分数阶模糊函数的机械故障诊断新方法。仿真研究表明,分数阶模糊函数继承了模糊函数的优点,能够很好的抑制Wigner分布中的交叉项干扰,从而有效提取故障特征。最后,将提出的方法应用到旋转机械故障诊断中,实验验证了提出方法的有效性。
The definition, characteristics and algorithm of fractional ambiguity function are introduced. A new machine fault diagnosis method based on fractional ambiguity function is proposed. The simulation result shows that the fractional ambiguity function inherits the advantages of ambiguity function, and it can restrict the cross-terms interference existed in Wigner distribution effectively. Finally, the proposed method has successfully applied to the fault diagnosis of the rotating machine, and the experimental result verifies the validity of the proposed method.