A Higher-Order Symmetric Difference Analytic Energy Operator and its Applications to Detect Weak Bearing Fault Signal

doi:10.12263/DZXB.20200201

PDF(8762 KB)

ACTA ELECTRONICA SINICA ›› 2021, Vol. 49 ›› Issue (4) : 750-759. DOI: 10.12263/DZXB.20200201

PAPERS

A Higher-Order Symmetric Difference Analytic Energy Operator and its Applications to Detect Weak Bearing Fault Signal

XU Yuan-bo, JIANG Xiang-kui, LI Long

Author information +

History +

Abstract

Considering that the inadequacy of the inferior performance of the symmetric difference analytic energy operator (SD-AEO) technique in the presence of vibration interferences with higher amplitudes, an improved analytic energy operator (AEO) based on SD-AEO is proposed in this work. This proposed energy measure takes advantage of the higher-order symmetric difference to substitute the symmetric difference for the sake of boosting the signal-to-interference ratio (SIR), which can enhance the ability to detect the weak fault signal in the presence of vibration interferences with larger magnitude. Furthermore, the energy transformation of this proposed energy operator is weighted by absolute value to prevent the negative values in the transformed signal. Under the simulated tests, the superiority of the immunity to intensive noise and interferences as well as the non-negative property is demonstrated. Finally, the proposed energy detector is applied to the real-world data measured from the defective bearings, and it is found that this proposed fault detection tool can successfully identify the weak fault signatures under a severe working condition.

Key words

bearing fault signature detection / higher-order symmetric difference / analytic energy operator / non-negative property

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

XU Yuan-bo, JIANG Xiang-kui, LI Long. A Higher-Order Symmetric Difference Analytic Energy Operator and its Applications to Detect Weak Bearing Fault Signal[J]. Acta Electronica Sinica, 2021, 49(4): 750-759. https://doi.org/10.12263/DZXB.20200201

References

[1] D-M Yang,A F Stronach,P MacConnell.The application of advanced signal processing techniques to induction motor bearing condition diagnosis[J].Meccanica,2003,38(2):297-308.
[2] Zheng J,Cheng J,Yang Y.Generalized empirical mode decomposition and its applications to rolling element bearing fault diagnosis[J].Mechanical Systems and Signal Processing,2013,40(1):136-153.
[3] 苏维均,杨飞,于重重,等.基于局部频谱的滚动轴承故障特征提取方法[J].电子学报,2018,46(1):160-166. SU Wei-jun,YANG Fei,YU Chong-chong.Rolling bearing fault feature extraction method based on local spectrum[J].Acta Electronica Sinica,2018,46(1):160-166.(in Chinese)
[4] Pineda-Sanchez M,Puche-Panadero R,Riera-Guasp M,et al.Application of the teager-kaiser energy operator to the fault diagnosis of induction motors[J].IEEE Transactions on Energy Conversion,2013,28(4):1036-1044.
[5] 王天金,冯志鹏,郝如江.基于Teager能量算子的滚动轴承故障诊断研究[J].振动与冲击,2012,31(2):1-5. WANG Tian-jin,FENG Zhi-peng,HAO Ru-jiang.Fault diagnosis of rolling element bearings based on Teager energy operator[J].Journal of Vibration and Shock,2012,31(2):1-5.(in Chinese)
[6] 盖强,张海勇,徐晓刚.Hilbert-Huang变换的自适应频率多分辨分析研究[J].电子学报,2005,33(3):563-566. GAI Qiang,ZHANG Hai-yong,XU Xiao-gang.Study of adaptive frequency multiresolution analysis of the hilbert-huang transform[J].Acta Electronica Sinica,2005,33(3):563-566.(in Chinese)
[7] 武哲,杨绍普,张建超.基于LMD自适应多尺度形态学和Teager能量算子方法在轴承故障诊断中的应用[J].振动与冲击,2016,35(3):7-13. WU Zhe,YANG Shao-pu,ZHANG Jian-chao.Bearing fault feature extraction method based on LMD adaptive multiscale morphology and energy operator demodulating[J].Journal of Vibration and Shock,2016,35(3):7-13.(in Chinese)
[8] Bovik A C,Maragos P,Quatieri T F.AM-FM energy detection and separation in noise using multiband energy operators[J].IEEE Transactions on Signal Processing,1993,41(12):3245-3265.
[9] 刘泽潮,张兵,易彩,吴文逸,黄晨光.高阶频率加权能量算子在列车轴箱轴承故障诊断中的应用[J].西安交通大学学报,2019,53(12):46-56. LIU Ze-chao,ZHANG Bing,YI Cai,WU Wen-yi,HUANG Cheng-uang.High-order frequency-weighted energy operator with applications to train axle-box bearing fault diagnosis[J].Journal of Xi' an Jiaotong University,2019,53(12):46-56.(in Chinese)
[10] H Faghidi,M Liang.Bearing fault identification by higher order energy operator fusion:A non-resonance based approach[J].Journal of Sound and Vibration,2016,381:83-100.
[11] Fang J,Atlas L E.Quadratic detectors for energy estimation[J].IEEE Transactions on Signal Processing,1995,43(11):2582-2594.
[12] 孟宗,李姗姗,季艳.基于对称差分能量算子解调的局部均值分解端点效应抑制方法[J].机械工程学报,2014,50(13):80-87. MENG Zong,LI San-shan,Ji Yan.Restraining method for end effect of local mean decomposition based on energy operator demodulation of symmetrical differencing[J].Journal of Mechanical Engineering,2014,50(13):80-87.(in Chinese)
[13] 徐元博,蔡宗琰,丁凯.复杂背景下对称差分解析能量算子在轴承故障诊断中的应用[J].振动与冲击,2019,38(8):246-254. XU Yuan-bo,CAI Zong-yan,DING Kai.Bearing fault detection based on an analytic energy operator of symmetrical differencing under complex background[J].Journal of Vibration and Shock,2019,38(8):246-254.(in Chinese)
[14] Randall R B,Jérime Antoni.Rolling element bearing diagnostics-A tutorial[J].Mechanical Systems and Signal Processing,2011,25(2):485-520.
[15] Kaiser J F.Some useful properties of Teager' s energy operators[A].IEEE International Conference on Acoustics,Speech,and Signal Processing[C].Minneapolis,USA:IEEE Computer Society,1993.143-152.
[16] Zhang S,Lu S,He Q,et al.Time-varying singular value decomposition for periodic transient identification in bearing fault diagnosis[J].Journal of Sound and Vibration,2016,379:213-231.
[17] Randall R B.Vibration-based Condition Monitoring:Industrial,Aerospace and Automotive Applications[M].USA:John Wiley & Sons,2011.172-178.
[18] 郑近德,潘海洋,戚晓利,等.基于改进经验小波变换的时频分析方法及其在滚动轴承故障诊断中的应用[J].电子学报,2018,46(2):358-364. ZHENG Jin-de,PAN Hai-yang,QI Xiao-li,et al.Enhanced empirical wavelet transform based time-frequency analysis and its application to rolling bearing fault diagnosis[J].Acta Electronica Sinica,2018,46(2):358-364.(in Chinese)
[19] 陈海周,王家序,汤宝平,等.基于最小熵解卷积和Teager能量算子直升机滚动轴承复合故障诊断研究[J].振动与冲击,2017,36(9):45-50,73. CHEN Haizhou,WANG Jiaxu,TANG Baoping,et al.Helicopter rolling bearing hybrid faults diagnosis using minimum entropy deconvolution and Teager energy operator[J].Journal of Vibration and Shock,2017,36(9):45-50,73.(in Chinese)

Funding

Key Research and Development Project General Program of Science and Technology Department of Shaanxi Province (No.2017NY-129); Project of Department of Education of Shaanxi Province (No.17JK0712)