冲击振动提取的优化稀疏表征方法

Optimal sparse representation method for impact vibration extraction

针对在背景噪声及其他振动干扰下冲击振动信号提取问题,提出了一种利用基追踪实现冲击振动优化稀疏表征的方法。建立了冲击振动提取的稀疏求解问题模型,设计了用于冲击振动特征提取的变换基,并利用特征谱线在频谱中所占能量比作为评价冲击振动提取效果的指标,实现了冲击振动成分的优化提取。将该方法用于仿真试验和齿轮故障诊断,结果表明,与Morlet小波软阈值方法相比,所提方法能更好地提取微弱周期性冲击成分,具有很好的应用前景。

Aiming at the problem of impact vibration signals extraction under strong back-ground noise and other vibration interferences, an optimal sparse representation method of impact vibrations based on basis pursuit was proposed. A sparse solving model for extracting impact vibrations was built, and a transformation basis for impact vibration feature extraction was designed. Then the energy ratio of characteristic spectral lines in the whole frequency spectrum was taken as the index for evaluating the effect of impact vibration feature extraction, and the impact vibration components were optimally obtained with this evaluation index. The proposed method was applied in simulation tests and gear fault diagnosis. The results showed that this approach can better extract the weak periodic impact components, so it is valvuable for actual applications.