Adaptive optimization narrow-band Decomposition Method and Its Application

PENG Yanfeng CHENG Junsheng YANG Yu LI Baoqing

Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (15) : 1-6.

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Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (15) : 1-6.

Adaptive optimization narrow-band Decomposition Method and Its Application

  •   PENG Yanfeng  CHENG Junsheng  YANG Yu  LI Baoqing
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Abstract

Adaptive and sparsest time-frequency analysis (AONBD) method is proposed. Signal decomposition is translated into optimizing the parameters of the filter. The optimization objective is obtaining the sparsest solution of signals. The original signal is adaptively decomposed into several intrinsic narrow-band components (INBC) via optimization. AONBD method has two steps. First,the best filter is obtained by optimization. Secondly,the sparsest solution is derived by filtering the original signal using the designed filter. The basic theory and decomposition steps of AONBD are described. Comparisons are made between AONBD,adaptive sparsest time-frequency analysis (ASTFA) and empirical mode decomposition (EMD) by utilizing a simulation signal. The results show that AONBD method is superior to the other two methods in restraining the end effect and mode mixing,anti-noise performance,improving the orthogonality and accuracy of components. AONBD method is applied to analyzing the vibration signal of rotor. And the results indicate that AONBD can be effectively applied to mechanical fault diagnosis. 
 

Key words

Adaptive optimization narrow-band decomposition / Intrinsic narrow-band components / Local narrow-band signal / Singular local linear operator / Rotor fault diagnosis

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PENG Yanfeng CHENG Junsheng YANG Yu LI Baoqing. Adaptive optimization narrow-band Decomposition Method and Its Application[J]. Journal of Vibration and Shock, 2016, 35(15): 1-6

References

[1] Huang N E,Shen Z,Long S R. The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis[J]. Proceedings of the Royal Society A,1998,454(1971): 903-995.
[2] Yeh J R,Shieh J S. complementary ensemble empirical mode decomposition: A noise enhanced data analysis method[J]. Advances in Adaptive Data Analysis,2010,2(2): 135-156.
[3] Shen Z J,Chen X F,Zhang X L,et al. A novel intelligent gear fault diagnosis model based on EMD and multi-class TSVM[J]. Measurement,2012,45(1): 30-40.
[4] Thomas Y H,Shi Z Q. Adaptive data analysis via sparse time-frequency representation[J]. Advances in Adaptive Data Analysis,2011,3(1,2): 1-28.
[5] Donoho D L. Compressed sensing[J]. IEEE Transactions on Information Theory,2006,52 (4):1289-1396.
[6] Yang H G,Mathew J,Ma L. Fault diagnosis of rolling element bearings using basis pursuit[J]. Mechanical Systems and Signal Processing,2005,19 (2):341-356.
[7] Mallat S,Zhang Z. Matching pursuit with time-frequency dictionaries[J]. IEEE Transactions on Signal Processing,1993,41 (12):3397-3415.
[8] Frei M G,Osorio I. Intrinsic time-scale decomposition: Time-frequency-energy analysis and real-time filtering of non-stationary signals[J]. Proceedings of the Royal Society A,2007,463(2078): 321-342.
[9] Peng S L,Hwang W L. Adaptive signal decomposition based on local narrow band signals[J]. IEEE Transactions on Signal Processing,2008,56(7): 2659-2676.
[10] Xie Q,Li J P,Gao X G,et al. Fourier domain local narrow-band signal extraction algorithm and its application to real-time infrared gas detection[J]. Sensors and Actuators B: Chemical,2010,146(1): 35-39.
[11] 程军圣,郑近德,杨 宇. 基于局部特征尺度分解的经验包络解调方法及其在机械故障诊断中的应用[J]. 机械工程学报,2012,48(19):87-94.
CHENG Jun-sheng,ZHENG Jin-de,YANG Yu. Empirical Envelope Demodulation Approach Based on Local Characteristic-scale Decomposition and Its applications to Mechanical Fault Diagnosis[J]. Journal of Mechanical Engineering,2012,48(19): 87-94.
[12] 罗洁思,于德介,彭富强. 基于多尺度线调频基信号稀疏分解的信号分离和瞬时频率估计[J]. 电子学报,2010,38(10):2224-2228.
LUO Jie-si,YU De-jie,PENG Fu-qiang. Signal Separation and Instantaneous Frequency Estimation Based on Multi—scale Chi rplet Sparse Signal Decomposition[J]. ACTA Electronica SINICA,2010,38(10): 2224-2228.
[13] 楼梦麟, 黄天立. 正交化经验模式分解方法[J]. 同济大学学报(自然科学版),2007,35(3):293-298.
LOU Meng-Lin,HUANG Tian-Li. Orthogonal Empirical Mode Decomposition[J]. Journal of Tongji University (Natural Science),2007,35(3): 293-298.
[14] Yang Y,Cheng J S,Zhang K. An ensemble local means decomposition method and its application to local rub-impact fault diagnosis of the rotor systems[J]. Measurement,2012,45(3): 561-570.
[15] Lei Y G,Lin J,He Z J,et al. A review on empirical mode decomposition in fault diagnosis of rotating machinery[J]. Mechanical Systems and Signal Processing,2013,35(1-2): 108-126.
[16] 蔡艳平,李艾华,石林锁,等. 基于EMD与谱峭度的滚动轴承故障检测改进包络谱分析[J]. 振动与冲击,2001,30(2):167-172.
CAI Yan-ping,LI Ai-hua,SHI Lin-suo,et al. Roller bearing fault detection using improved envelop spectrum analysis based on EMD and spectrum kurtosis[J]. Journal of Vibration and Shock,2001,30(2): 167-172.
[17] 韩 捷,张瑞林. 旋转机械故障机理及诊断技术[M]. 北京:机械工业出版社,1997.
HAN Jie,ZHANG Rui-lin. The rotate fault mechanism and its diagnosis[M]. Beijing: China Machine Press,1997.
[18] 胡茑庆. 转子碰摩非线性行为与故障辨识的研究[D]. 长沙:国防科技大学,2001.
HU Niao-qing. Research on identification of nonlinear behavior and fault of rub-impact in rotors[D]. ChangSha: National University of Defense Technology,2001.
[19] 于德介,程军圣,杨宇. 机械故障诊断的Hilbert-Huang变换方法[M]. 北京:科学出版社,2006.
YU De-jie,CHENG Jun-sheng,YANG Yu. Mechanical fault diagnosis method of Hilbert-Huang transform[M]. Beijing: Science Press,2006.
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