Haar小波变换在变速器齿轮故障诊断中的应用

推导和证明了Haar小波连续小波变换时间和尺度的周期性，指出这种周期性可以提取出信号中的周期成分，并且使谐波和冲击信号在时间-尺度域中有不同的图形特征。因此根据这些特性可以识别齿轮裂纹产生的冲击和刚度变化，仿真和汽车变速器齿轮故障分析验证了Haar小波变换的有效性和实用性。

Haar Wavelet Transform for Gear Fault Diagnosis

Based on the standard Haar wavelet,the periodicity of its continuous wavelet transform,both in time and scale,was deduced and proved It can extract the periodic component and make the harmonic an d impulse signals exhibit differen t graphic features in time and sca le domaind Thus the property is ve ry suitable for the diagnosis of g ear cracking The simulation and an alysis on the gear faults of a tra nsmission prove the effectiveness and practicability of Haar wavelet transform