A method of gear fault feature extraction based on an improved local mean decomposition (LMD) and instantaneous energy distribution (IED) - sample entropy (SampEn) is proposed. Aiming at end effects of LMD, the maximum similarity coefficient improved LMD method is put forward. The method achieves the improvement of end effect by looking for bands that have the biggest similarity coefficient to the specified bands at both ends in the internal signal. The simulation results show that this method can effectively improve the end effect of LMD. Using the improved LMD to decompose the signal can get instantaneous amplitude functions, from that, instantaneous energy distributions of the signal as sample entropy input of IED-SampEn can be obtained. Through the experimental study and compared with PF-SampEn, the results show that IED-SampEn can reasonably and effectively response gear fault state, it is typical as the feature vector of gear vibration signal and can be used as an effective fault feature.
[1] WU Chunyan,LIU Jian,PENG Fuqiang,et al. Gearbox fault diagnosis using adaptive zero phase time-varying filter based on multi-scale chirplet sparse signal decomposition[J]. Chinese Journal of Mechanical Engineering,2013,26 (4)：831-838.
[2] 丁康,朱小勇,陈亚华. 齿轮箱典型故障振动特征与诊断策略[J]. 振动与冲击,2001,20(3)：7-12.
DING Kang,ZHU Xiaoyong,CHEN Yahua. The vibration characteristics of typical gearbox faults and its diagnosis plan[J]. Journal of Vibration and Shock,2001,20(3)：7-12.
[3] 程军圣,杨怡,张亢,等. 基于局部均值分解的循环频率和能量谱在齿轮故障诊断中的应用[J]. 振动工程学报,2011,24(1)：78-83.
CHENG Junsheng,YANG Yi,ZHANG Kang,et al. Application of cycle frequency and energy spectrum based on local mean decomposition to gear fault diagnosis[J]. Journal of Vibration Engineering,2011,24(1)：78-83.
[4] LIU Xiaofeng,QIN Shuren,BO Lin. Hybrid wavelet packet-teager energy operator analysis and its application for gearbox fault diagnosis[J]. Chinese Journal of Mechanical Engineering,2007,20(6)：79-83.
[5] 陈向民,于德介,罗洁思. 基于线调频小波路径追踪阶比循环平稳解调的齿轮故障诊断[J]. 机械工程学报,2012,48(3)：95-101.
CHEN Xiangmin,YU Dejie,LUO Jiesi. Gear tooth fault diagnosis by using order cyclostationary demodulating approach based on chirplet path pursuit[J]. Journal of Mechanical Engineering,2012,48(3)：95-101.
[6] 明安波,禇福磊,张炜. 滚动轴承复合故障诊断特征分离的小波-频谱自相关方法[J]. 机械工程学报,2013,49(3)：80-87.
MING Anbo,CHU Fulei,ZHANG Wei. Compound fault features separation of rolling element bearing based on the wavelet decomposition and spectrum auto-correlation[J]. Journal of Mechanical Engineering,2013,49(3)：80-87.
[7] 李宏坤,练晓婷,周帅. 小波尺度谱同步平均在弱信息识别中的应用[J]. 机械工程学报,2013,49(5)：32-38.
LI Hongkun,LIAN Xiaoting,ZHOU Shuai. Application on weak information classification by using wavelet scalogram synchronous averaging[J]. Journal of Mechanical Engineering,2013,49(5)：32-38.
[8] 孙海亮,訾艳阳,袁静,等. 非抽样多小波和Hilbert- Huang 时频分析在行星减速器早期故障诊断中的应用[J]. 机械工程学报,2013,49(3)：56-62.
SUN Hailiang,ZI Yanyang,YUAN Jing,et al. Undecimated multiwavelet and Hilbert-Huang time-frequency analysis and its application in the incipient fault diagnosis of planetary gearboxes[J]. Journal of Mechanical Engineering,2013,49(3)：56-62.
[9] 杨江天,周培钰. 经验模态分解和Laplace小波在机车柴油机齿轮系故障诊断中的应用[J]. 机械工程学报,2011,47(7)：109-115.
YANG Jiangtian,ZHOU Peiyu. Fault diagnosis for gear train of locomotive diesel engine based on empirical mode decomposition and Laplace wavelet[J]. Journal of Mechanical Engineering,2011,47(7)：109-115.
[10] 雷亚国. 基于改进Hilbert-Huang变换的机械故障诊断[J]. 机械工程学报,2011,47(5)：71-77.
LEI Yaguo. Machinery fault diagnosis based on improved Hilbert-Huang transform[J]. Journal of Mechanical Engineering,2011,47(5)：71-77.
[11] SMITH J S. The local mean decomposition and its application to EEG Perception data[J]. Journal of Royal Society Interface,2005,2(5)：443-454.
[12] 李志农,刘卫兵,易小兵. 基于局域均值分解的机械故障欠定盲源分离方法研究[J]. 机械工程学报,2011,47(7)：98-102.
LI Zhinong,LIU Weibing,YI Xiaobing. Underdetermined blind source separation method of machine faults based on local mean decomposition[J]. Journal of Mechanical Engineering,2011,47(7)：98-102.
[13] 程军圣,杨怡,杨宇. 局部特征尺度分解方法及其在齿轮故障诊断中的应用[J]. 机械工程学报,2012,48(9)： 64-71.
CHENG Junsheng,YANG Yi,YANG Yu. Local characteristic-scale decomposition method and its application to gear fault diagnosis[J]. Journal of Mechanical Engineering,2012,48(9)：64-71.
[14] 程军圣,杨宇,于德介. 局部均值分解方法及其在齿轮故障诊断中的应用[J]. 振动工程学报,2009,22(1)：76-83.
CHENG Junsheng,YANG Yu,YU Dejie. The local mean decomposition method and its application in gear fault diagnosis[J]. Journal of Vibration Engineering,2009,22(1)：76-83.
[15] 苏文胜,王奉涛,朱泓,等. 基于小波包样本熵的滚动轴承故障特征提取[J]. 振动、测试与诊断,2011. 31(2)：162-166.
SU Wensheng,WANG Fengtao,ZHU Hong,et al. Feature extraction of rolling element bearing fault using wavelet packet sample entropy[J]. Journal of Vibration,Measurement & Diagnosis,2011,31(2)：162-166.
[16] 黄大吉,赵进平,苏纪兰. 希尔伯特一黄变换的端点延拓[J]. 海洋学报,2003,25(1)：1-11.
HUANG Daji,ZHAO Jinping,SU Jilan. Hilbert-Huang transform endpoint extension[J]. Journal of Oceanography,2003,25(1)：1-11.
[17] 曹冲锋,杨世锡,杨将新. 一种基于瞬时能量分布特征的汽轮发电机组转子故障诊断新方法[J]. 振动与冲击,2009,28(3)：35-39.
CAO Chongfeng,YANG Shixi,YANG Jiangxin. A new fault diagnosis method for a rotor of a steam turbine generator set based on instantaneous energy distribution characteristics[J]. Journal of Vibration and Shock,2009,28(3)：35-39.
