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Application of the Wavelet Multi-resolution Analysis and Hilbert transform for the prediction of gear tooth defects

机译:小波多分辨率分析和希尔伯特变换在齿轮缺陷预测中的应用

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摘要

In machine defect detection, namely those of gears, the major problem is isolating thedefect signature from the measured signal, especially where there is significant background noise or multiple machine components. This article presents a method of gear defect detection based on the combination of Wavelet Multi-resolution Analysis and the Hilbert transform. The pairing of these techniques allows simultaneous filtering and denoising, along with the possibility of detecting transitory phenomena, as well as a demodulation. This paper presents a numerical simulation of the requisite mathematical model followed by its experimental application of acceleration signals measured on defective gears on a laboratory test rig. Signals were collected under various gear operating conditions, including defect size, rotational speed, and frequency bandwidth. The proposed method compares favourably to commonly used analysis tools, with the advantage of enabling defect frequency isolation, thereby allowing detection of even small or combined defects.
机译:在机器缺陷检测中,即齿轮的缺陷检测中,主要问题是将缺陷特征与测量信号隔离开,特别是在存在明显的背景噪声或多个机器组件的情况下。本文提出了一种基于小波多分辨率分析和希尔伯特变换相结合的齿轮缺陷检测方法。这些技术的配对允许同时进行滤波和降噪,以及检测瞬态现象和解调的可能性。本文介绍了必要的数学模型的数值模拟,然后在实验室试验台上对在有缺陷的齿轮上测得的加速度信号进行了实验应用。在各种齿轮操作条件下收集信号,包括缺陷尺寸,转速和频率带宽。所提出的方法与常用的分析工具相比,具有优势,可以实现缺陷频率隔离,从而可以检测甚至很小的缺陷或组合缺陷。

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