• CN:11-2187/TH
  • ISSN:0577-6686

机械工程学报 ›› 2020, Vol. 56 ›› Issue (11): 96-107.doi: 10.3901/JME.2020.11.096

• 机械动力学 • 上一篇    下一篇

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谱图小波阈值降噪及其在滚刀主轴振动信号分析中的应用

董鑫1, 李国龙1, 何坤2, 贾亚超1, 徐凯1, 李彪1   

  1. 1. 重庆大学机械传动国家重点实验室 重庆 400030;
    2. 重庆工商大学机械工程学院 重庆 400067
  • 收稿日期:2019-06-21 修回日期:2020-03-30 出版日期:2020-06-05 发布日期:2020-06-12
  • 通讯作者: 李国龙(通信作者),男,1968年出生,博士,教授,博士研究生导师。主要研究方向为智能制造技术与装备,精密与超精密加工技术。E-mail:glli@cqu.edu.cn
  • 作者简介:董鑫,男,1991年出生,博士研究生。主要研究方向为智能制造技术与系统,刀具故障预测与健康管理。E-mail:xindong0531@foxmail.com
  • 基金资助:
    国家自然科学基金资助项目(51875066)和重庆市基础研究与前沿探索(cstc2018jcyjAX0578)资助项目。

Spectral Graph Wavelet Threshold Denoising and Its Application to Vibration Signal Analysis for Hob Spindle

DONG Xin1, LI Guolong1, HE Kun2, JIA Yachao1, XU Kai1, LI Biao1   

  1. 1. State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing 400030;
    2. College of Mechanical Engineering, Chongqing Technology and Business University, Chongqing 400067
  • Received:2019-06-21 Revised:2020-03-30 Online:2020-06-05 Published:2020-06-12

摘要: 通过分析谱图小波变换在平面图像、三维实体分析中的应用,提出一种用于一维数字信号分析的谱图小波阈值降噪方法。该方法将一维数字信号定义到路图上,利用谱图小波变换将其分解成尺度系数和谱图小波系数,对谱图小波系数进行阈值过滤处理,再进行谱图小波逆变换得到降噪信号。首先,利用四种典型仿真信号进行降噪试验,并分析不同分解层数对降噪性能的影响;接着,将其与经典小波阈值降噪方法进行仿真对比;最后,采用该方法进行滚刀主轴振动信号降噪,并与经典小波阈值降噪方法对比。仿真及试验结果表明,该方法实现了一维数字信号的快速非迭代降噪,且降噪信号平滑度高、畸变小,优于经典小波阈值降噪方法。

关键词: 谱图小波变换, 阈值, 降噪, 滚刀主轴, 振动信号

Abstract: By analyzing the application of spectral graph wavelet transform in plane image and three-dimensional solid analysis, a spectral graph wavelet threshold denoising method is proposed for one-dimensional digital signal analysis. In this method, the one-dimensional digital signal is defined on the path graph, which is decomposed into scale coefficients and spectral graph wavelet coefficients by spectral graph wavelet transform, and the spectral graph wavelet coefficients are filtered by threshold. Thus the denoising signal is obtained by spectral graph wavelet inverse transform. Firstly, four typical simulation signals are used for denoising test, and the influence of different decomposition layers on denoising performance is analyzed. Then, the performance of the proposed method is compared with that of the classical wavelet threshold denoising method by simulation. Finally, the method is applied to the denoising experiment of hob spindle vibration signal, and compared with the classical wavelet threshold denoising method. Simulation and experimental results show that the proposed method can realize the fast non-iterative denoising of one-dimensional digital signal, and the denoising signal has high smoothness and small distortion. Also, it is obviously superior to the classical wavelet threshold denoising method.

Key words: spectral graph wavelet transform, threshold, denoising, hob spindle, vibration signal

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