The Coupling of Linear Extrapolation Method and Similar Extreme Extension Method to Restrain Boundary Effect of EMD

He Zhenpeng; Zhu Zhiqi; Xie Haichao; Wang Yawen; Xu Tangjin; Zheng Jie; Fu Xueying; Du Chaoping; He Rui

doi:10.13433/j.cnki.1003-8728.2018.0801

Volume 37 Issue 8

Aug. 2018

Turn off MathJax

Article Contents

Article Navigation > Mechanical Science and Technology for Aerospace Engineering > 2018 > 37(8): 1200-1206

He Zhenpeng, Zhu Zhiqi, Xie Haichao, Wang Yawen, Xu Tangjin, Zheng Jie, Fu Xueying, Du Chaoping, He Rui. The Coupling of Linear Extrapolation Method and Similar Extreme Extension Method to Restrain Boundary Effect of EMD[J]. Mechanical Science and Technology for Aerospace Engineering, 2018, 37(8): 1200-1206. doi: 10.13433/j.cnki.1003-8728.2018.0801

Citation:

He Zhenpeng, Zhu Zhiqi, Xie Haichao, Wang Yawen, Xu Tangjin, Zheng Jie, Fu Xueying, Du Chaoping, He Rui. The Coupling of Linear Extrapolation Method and Similar Extreme Extension Method to Restrain Boundary Effect of EMD[J]. Mechanical Science and Technology for Aerospace Engineering, 2018, 37(8): 1200-1206. doi: 10.13433/j.cnki.1003-8728.2018.0801

Citation:

He Zhenpeng, Zhu Zhiqi, Xie Haichao, Wang Yawen, Xu Tangjin, Zheng Jie, Fu Xueying, Du Chaoping, He Rui. The Coupling of Linear Extrapolation Method and Similar Extreme Extension Method to Restrain Boundary Effect of EMD[J]. Mechanical Science and Technology for Aerospace Engineering, 2018, 37(8): 1200-1206. doi: 10.13433/j.cnki.1003-8728.2018.0801

PDF( 1145 KB)

The Coupling of Linear Extrapolation Method and Similar Extreme Extension Method to Restrain Boundary Effect of EMD

doi: 10.13433/j.cnki.1003-8728.2018.0801

1.
Aeronautical Engineering Institute, Civil Aviation University of China, Tianjin 300300, China;
2.
Tianjin Key Laboratory for Civil Aircraft Airworthiness and Maintenance, Civil Aviation University of China, Tianjin 300300, China

Received Date: 2017-06-02
Publish Date: 2018-08-05

Abstract

Abstract

The end effect exists in envelope fitting during the process of applying EMD method to diagnose mechanical fault. A revised method of boundary extension is proposed based on linear extrapolation method and similar extreme extension method considering the internal signal extreme waving condition in this paper. The variance of internal signal is calculated to evaluate the degree of signal stability. In the case of the signal waves smoothly, similar extreme extension method is conducted to maintain the inherent steadiness at utmost. While the signal that changes abnormally swings violently, the local information at the edges is considered only to conduct linear extrapolation method. Through simulation analysis and tests of fault diagnosis of rolling bearings, results demonstrate this method can suppress end effect of EMD method.
- EMD,
- boundary effect,
- linear extrapolation method,
- similar extreme extension method

FullText(HTML)

References(15)

References

[1]	Huang N E, Shen Z, Long S R, et al. The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis[J]. Proceedings of the Royal SocietyA, 1998,454(1971):903-995
[2]	Huang N E. Computer implemented empirical mode decomposition method, apparatus and article of manufacture:US, 5983162[P]. 1999-11-09
[3]	曹冲峰,杨世锡,杨将新.一种抑制EMD端点效应新方法及其在信号特征提取中的应作用[J].振动工程学报,2008,21(6):588-593 Cao C F, Yang S X, Yang J X. A new method for restraining the end effect of empirical mode decomposition and its applications to signal feature extraction[J]. Journal of Vibration Engineering, 2008,21(6):588-593(in Chinese)
[4]	苏东林,郑昊鹏.一种解决经验模态分解端点效应的边界延拓法[J].航空学报,2016,37(3):960-969 Su D L, Zheng H P. A boundary extension method for empirical mode decomposition end effect[J]. Acta Aeronautica et Astronautica Sinica, 2016,37(3):960-969(in Chinese)
[5]	李钊,周晓军,徐云.基于均生函数周期叠加外推法的EMD端点问题的研究[J].振动与冲击,2013,32(15):138-143 Li Z, Zhou X J, Xu Y. End effect treatment for EMD based on the period superposition extrapolation of mean generating function[J]. Journal of Vibration and Shock, 2013,32(15):138-143(in Chinese)
[6]	杨斌,陈桂明,刘建友.基于标准互相关函数的经验模态分解端点效应处理方法[J].机械工程学报,2013,49(5):63-68 Yang B, Chen G M, Liu J Y. Method of empirical mode decomposition end effect based on standardized cross-correlation function[J]. Journal of Mechanical Engineering, 2013,49(5):63-68(in Chinese)
[7]	潘东夏,方世良.时间迭代法处理EMD中的边界效应[J].声学技术,2009,28(6):70-73 Pan D X, Fang S L. Time iterative method to deal with border effect during EMD[J]. Technical Acoustics, 2009,28(6):70-73(in Chinese)
[8]	何立志.希尔伯特-黄变换及其在结构损伤识别中的应用[D].北京:北京工业大学,2006 He L Z. Hilbert-Huang transform(HHT) and its appli-cation in structural damage identification[D]. Beijing:Beijing University of Technology, 2006(in Chinese)
[9]	盖强,马孝江,张海勇,等.一种消除局域波法中边界效应的新方法[J].大连理工大学学报,2002,42(1):115-117 Ge Q, Ma X J, Zhang H Y, et al. New method for processing end effect in local wave method[J]. Journal of Dalian University of Technology, 2002,42(1):115-117(in Chinese)
[10]	白春华,周宣赤,林大超,等.消除EMD端点效应的PSO-SVM方法研究[J].系统工程理论与实践,2013,33(5):1298-1306 Bai C H, Zhou X C, Lin D C, et al. PSO-SVM method based on elimination of end effects in EMD[J]. Systems Engineering-Theory & Practice, 2013,33(5):1298-1306(in Chinese)
[11]	蔡艳平,李艾华,石林锁,等.EMD端点效应的改进型混沌延拓方法及其在机械故障诊断中的应用[J].振动与冲击,2011,30(11):46-52 Cai Y P, Li A H, Shi L S, et al. Processing method for end effects of EMD based on improved chaos forecasting model and its application in machinery fault diagnosis[J]. Journal of Vibration and Shock, 2011,30(11):46-52(in Chinese)
[12]	尹爱军,王璇.PDE信号修补方法及在EMD端点效应处理中的应用[J].振动与冲击,2012,31(2):6-9, 61 Yin A J, Wang X. Signal restoring based on PDE and its application in end effect processing of EMD[J]. Journal of Vibration and Shock, 2012,31(2):6-9, 61(in Chinese)
[13]	李勇,方兆本,韦勇凤.基于局部多项式回归的EMD端点效应抑制[J].中国科学技术大学学报,2014,44(9):786-792 Li Y, Fang Z B, Wei Y F. Suppressing end effect of EMD based on local polynomial regression[J]. Journal of University of Science and Technology of China, 2014,44(9):786-792(in Chinese)
[14]	杨贤昭.基于经验模态分解的故障诊断方法研究[D].武汉:武汉科技大学,2012 Yang X Z. Research on fault diagnosis method based on empirical mode decomposition[D]. Wuhan:Wuhan University of Science and Technology, 2012(in Chinese)
[15]	沈路,周晓军,张志刚,等.Hilbert-Huang变换中的一种端点延拓方法[J].振动与冲击,2009,28(8):168-171,174 Shen L, Zhou X J, Zhang Z G, et al. Boundary-extension method in Hilbert-Huang transform[J]. Journal of Vibration and Shock, 2009,28(8):168-171,174(in Chinese)