基于AR模型和谱熵的自适应小波包络检测
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摘要
针对传统故障诊断的包络问题,提出了一种基于自回归(auto regressive,AR)模型和谱熵的自适应复解析小波包络检测方法。通过AR模型从数据内在规律性上剔除机械振动信号中可线性预测的平稳成分,提取共振衰减的非平稳成分,在不同频带下进行复解析小波包络,结合谱熵在频域内与通带滤波的相关性选定最佳包络。仿真和试验数据分析结果表明,该方法能有效地提取故障特征频率,较传统方法自适应性更强,鲁棒性更高,包络效果更好,在工程应用中具有良好的前景。
For the envelope problems of traditional fault diagnosis,a method of adaptive complex analytic wavelet envelope detection was proposed based on AR model and spectral entropy herein.The method eliminated the stationary components for linear prediction from the mechanical vibration signals by AR model,and extracted the non-stationary components of resonance damping.The generated signals were enveloped by complex analytic wavelet in different frequency bands,the best envelope was selected based on the correlation between the spectral entropy and the band-pass filter in the frequency domain.This method owns higher adaptivity,better robustness and envelope effectiveness than that of the traditional one.Thus it has favorable prospect in engineering applications.
For the envelope problems of traditional fault diagnosis,a method of adaptive complex analytic wavelet envelope detection was proposed based on AR model and spectral entropy herein.The method eliminated the stationary components for linear prediction from the mechanical vibration signals by AR model,and extracted the non-stationary components of resonance damping.The generated signals were enveloped by complex analytic wavelet in different frequency bands,the best envelope was selected based on the correlation between the spectral entropy and the band-pass filter in the frequency domain.This method owns higher adaptivity,better robustness and envelope effectiveness than that of the traditional one.Thus it has favorable prospect in engineering applications.
引文
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[6]郭瑜,郑华文,高艳,等.基于谱峭度的滚动轴承包络分析研究[J].振动、测试与诊断,2011,31(4):517-521.GUO Yu,ZHENG Huawen,GAO Yan,et al.Envelope Analysis of Rolling Bearings Based on Spectral Kurtosis[J].Journal of Vibration,Measurement&Diagnosis,2011,31(4):517-521.
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[8]CHENG J S,YU D J,YANG Y.A Fault Diagnosis Approach for Roller Bearings Based on EMD Method and AR Model[J].Mechanical Systems and Signal Processing,2006,20(2):350-362.
[9]从飞云,陈进,董广明.基于谱峭度和AR模型的滚动轴承故障诊断[J].振动、测试与诊断,2012,32(4):538-541.CONG Feiyun,CHEN Jin,DONG Guangming.Spectral Kurtosis and AR Model Based Method for Fault Diagnosis of Rolling Bearings[J].Journal of Vibration,Measurement&Diagnosis,2012,32(4):538-541.
[10]高清清,贾民平.基于EEMD的奇异谱熵在旋转机械故障诊断中的应用[J].东南大学学报(自然科学版),2011,41(5):998-1001.GAO Qingqing,JIA Minping.EEMD Method Based Singular Value Spectral Entropy in Fault Diagnosis of Rotating Machinery[J].Journal of Southeast University(Natural Science Edition),2011,41(5):998-1001.
[2]ANTONI J.The Spectral Kurtosis:a Useful Tool for Characterizing Non-stationary Signals[J].Mechanical System and Signal Processing,2006,20(2):282-307.
[3]张根保,范秀君.基于蚁群算法优化选取阈值的EMD消噪方法[J].中国机械工程,2014,25(4):427-432.ZHANG Genbao,FAN Xiujun.Method for De-nosing Based on Optimal Threshold of EMD Optimized by Ant Colony Algorithm[J].China Mechanical Engineering,2014,25(4):427-432.
[4]吴文兵,黄宜坚.基于故障诊断的双谱优良特性体现[J].中国机械工程,2014,25(6):771-775.WU Wenbing,HUANG Yijian.Presence of Bispectrum's Prior Performance Based on Fault Diagnosis[J].China Mechanical Engineering,2014,25(6):771-775.
[5]何岭松,李巍华.用Morlet小波进行包络检波分析[J].振动工程学报,2002,15(1):119-122.HE lingsong,LI Weihua.Morlet Wavelet and Its Application in Enveloping[J].Journal of Vibration Engineering,2002,15(1):119-122.
[6]郭瑜,郑华文,高艳,等.基于谱峭度的滚动轴承包络分析研究[J].振动、测试与诊断,2011,31(4):517-521.GUO Yu,ZHENG Huawen,GAO Yan,et al.Envelope Analysis of Rolling Bearings Based on Spectral Kurtosis[J].Journal of Vibration,Measurement&Diagnosis,2011,31(4):517-521.
[7]廖庆斌,李舜酩.一种旋转机械振动信号特征提取的新方法[J].中国机械工程,2006,17(16):1675-1679.LIAO Qingbin,LI Shunming.A Novel Method Feature Extraction Rotating Machinery Vibration Signals[J].China Mechanical Engineering,2006,17(16):1675-1679.
[8]CHENG J S,YU D J,YANG Y.A Fault Diagnosis Approach for Roller Bearings Based on EMD Method and AR Model[J].Mechanical Systems and Signal Processing,2006,20(2):350-362.
[9]从飞云,陈进,董广明.基于谱峭度和AR模型的滚动轴承故障诊断[J].振动、测试与诊断,2012,32(4):538-541.CONG Feiyun,CHEN Jin,DONG Guangming.Spectral Kurtosis and AR Model Based Method for Fault Diagnosis of Rolling Bearings[J].Journal of Vibration,Measurement&Diagnosis,2012,32(4):538-541.
[10]高清清,贾民平.基于EEMD的奇异谱熵在旋转机械故障诊断中的应用[J].东南大学学报(自然科学版),2011,41(5):998-1001.GAO Qingqing,JIA Minping.EEMD Method Based Singular Value Spectral Entropy in Fault Diagnosis of Rotating Machinery[J].Journal of Southeast University(Natural Science Edition),2011,41(5):998-1001.