Backlash fault feature extraction of spur gear system based on sparse representation with measured impulse response as dictionary

PDF(854 KB)

Journal of Vibration and Shock ›› 2017, Vol. 36 ›› Issue (11) : 86-91.

GAO Hong-bo1,2， LIU Jie1，LI Yun-gong1

Author information +

History +

Abstract

To separate the transient impact responses caused by backlash fault from the vibration signal of gear system，a feature extraction method based on sparse representation is presented, in which feature extraction is converted to the construction of sparse dictionary and the solution of sparse coefficients. According to its more similar characteristic to fault impact response, using the measured impulse response as an atom to construct sparse dictionary is proposed. Then the orthogonal matching pursuit algorithm is employed for the optimal solution of sparse vectors and the reconstruction of impact response sequence, and the occurrence time of transient impact represented by sparse coefficients are obtained. Furthermore, the modulation frequency is demodulated by envelope analysis of the impact response composition. Simulation and experiments show that the method proposed is effective for backlash fault feature extraction of gear system.

Key words

fault feature extraction / sparse representation / measured impulse response / backlash

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

GAO Hong-bo1,2， LIU Jie1，LI Yun-gong1. Backlash fault feature extraction of spur gear system based on sparse representation with measured impulse response as dictionary[J]. Journal of Vibration and Shock, 2017, 36(11): 86-91

References

[1] 梁霖,徐光华,栗茂林,等. 冲击故障特征提取的非线性流形学习方法[J]. 西安交通大学学报, 2009,43(11):95-99.
LIANG Lin , XU Guanghua , LI Maolin, et al. Nonlinear manifold learning method of mechanical impact faults extraction[J]. Journal of Xi'an Jiao Tong University, 2009, 43(11):95-99.
[2]高洪波,李允公,刘杰. 基于动态侧隙的齿轮系统齿面磨损故障动力学分析[J]. 振动与冲击,2014,33(18):221-226.
GAO Hong-bo, LI Yun-gong, LIU Jie. Dynamic analysis on spur gear system with wear fault based on dynamic backlash[J]. Journal of Vibration and Shock, 2014,33(18):221-226.
[3]MALLAT S, ZHANG Z. Matching pursuit with time-frequency dictionaries[J]. IEEE Transactions on Signal Processing, 1993, 41(12):397-3415.
[4]崔玲丽,莫代一,邬娜. 并联基追踪稀疏分解在齿轮箱弱故障诊断中的应用[J]. 仪器仪表学报,2014,35(11):2633-2640.
Cui Lingli, Mo Daiyi, Wu Na. Application of sparse signal decomposition using dual-BP in gear-box weak fault diagnosis[J]. Chinese Journal of Scientific Instrument, 2014,35(11):2633-2640.
[5]Gaigai Cai, Xuefeng Chen, Zhengjia He. Sparsity-enabled signal decomposition using tunable Q-factor wavelet transform for fault feature extraction of gearbox[J]. Mechanical Systems and Signal Processing, 2013, 41(1-2):34-53.
[6]WeiFan, GaigaiCai, Z.K.Zhu, et al. Sparse representation of transients in wavelet basis and its application in gear box fault feature extraction[J]. Mechanical Systems and Signal Processing, 2015, 56-57: 230-245.
[7]费晓琪,孟庆丰,何正嘉. 基于冲击时频原子的匹配追踪信号分解及机械故障特征提取技术[J]. 振动与冲击, 2003, 22(02):28-31+22+Ⅲ.
Fei Xiaoqi, Meng Qingfeng, He Zhengjia. Signal decomposition with matching pursuits and technology of extracting machinery fault feature based on impulse time-frequency atom[J]. Journal of Vibration and Shock, 2003, 22(02): 28-31 +22+Ⅲ.
[8]康晨晖,崔玲丽,王婧,等. 基于信号特征的复合字典多原子匹配算法研究[J]. 机械工程学报,2012,48(12):1-6.
KANG Chenhui, CUI Lingli, WANG Jing, et al. Research on the composite dictionary multi-atoms matching algorithm based on the signal character[J]. Journal of Mechanical Engineering, 2012,48(12):1-6.
[9]Haifeng Tang, Jin Chen, Guangming Dong. Sparse representation based latent components analysis for machinery weak fault detection[J]. Mechanical Systems and Signal Processing, 2014,46(2-3):373-388.
[10]Tropp J A, Gilbert A C. Signal recovery from random measurements via orthogonal matching pursuit[J]. Information Theory, IEEE Transactions on, 2007, 53(12): 4655-4666．
[11]Donoho D L, Tsaig Y, Drori I, et al. Sparse solution of underdetermined systems of linear equations by stage wise orthogonal matching pursuit[J]. Information Theory, IEEE Transactions on, 2012, 58(2):1094-1121.
[12]朱会杰,王新晴,芮挺,等. 基于正交匹配追踪的强脉冲电磁干扰滤波新方法[J]. 振动与冲击,2015,34(15):33-37.
ZHU Hui-jie, WANG Xin-qing, RUI Ting, et al. A new denoising method for strong pulse electromagnetic interference signals based on orthogonal matching pursuit[J]. Journal of Vibration and Shock, 2015,34(15):33-37.
[13]孔祥海,张媛,梁艳梅. 基于压缩感知的医学图像采样新方法研究[J]. 光电子•激光,2014,25(08):1635-1640.
KONG Xiang-hai, ZHANG Yuan, LIANG Yan-mei. Research on a new method of medical image sampling based on compressed sensing[J]. Journal of Optoelectronics•Laser, 2014, 25(08): 1635-1640.
[14]高洪波,李允公,于良会,等. 基于Gammatone滤波器组的齿轮系统侧隙诱发冲击特征提取[J]. 机械传动, 2015, 39(03): 23-26.
Gao Hongbo, Li Yungong, Yu Lianghui, et al. Impact feature extraction of gear system caused by backlash based on Gammatone filters[J]. Journal of Mechanical Transmission, 2015, 39(03):23-26.