Abstract：Based on the characteristic that is the feature extraction of rolling bearing’s impact features is very hard under strong noise, a method based on Fourier decomposition method (FDM) and singular value difference spectrum is proposed. First, the non-stationary original bearing fault vibration signal was decomposed into several Fourier intrinsic band functions (FIBFs) by FDM. Then, the original signal was reconstructed by using correlation cross-coefficient method. The reconstructed signal was de-noised by the singular value difference spectrum. Finally, the fault characteristic frequency is accurately identified by using Hilbert envelope spectrum to the combined de-noised signal. The simulation analysis and test are good to verify the proposed method.
付秀伟,高兴泉. 基于傅里叶分解与奇异值差分谱的滚动轴承故障诊断方法[J]. 计量学报, 2018, 39(5): 688-692.
FU Xiu-wei,GAO Xing-quan. Rolling Bearing Fault Diagnosis Based on FDM and Singular Value Difference Spectrum. Acta Metrologica Sinica, 2018, 39(5): 688-692.
［1］褚福磊, 彭志科, 冯志鹏, 等. 机械故障诊断中的现代信号处理方法［M］. 北京: 科学出版社, 2009.
［2］王宏超, 陈进, 董广明, 等. 基于快速kurtogram算法的共振解调方法在滚动轴承故障特征提取中的应用［J］. 振动与冲击, 2013, 32（1）: 35-37.
［3］张龙, 熊国良, 黄文艺. 复小波共振解调频带优化方法和新指标［J］. 机械工程学报,2015,51（3）:129-138.
［4］时培明,苏翠娇,赵娜,等. 基于AMD和自适应随机共振的旋转机械故障诊断方法研究［J］. 计量学报, 2017, 38(1): 112-116.
［5］郑慧峰, 喻桑桑, 王月兵, 等. 基于经验模态分解和奇异值分解的振动声调制信号分析方法研究［J］. 计量学报, 2016, 37(4): 398-401.
［6］Wang Y, Xiang J, Markert R, et al. Spectral kurtosis for fault detection, diagnosis and prognostics of rotating machines: A review with applications［J］. Mechanical Systems and Signal Processing, 2016, 66-67: 679-698.
［7］王栋,丁雪娟. 基于包络解调随机共振和CEEMD的机械早期微弱故障诊断方法研究［J］. 计量学报, 2016, 37(2): 185-190.
［8］Singh P, Joshi S D, Patney R K, et al. The Fourier Decomposition Method for nonlinear and nonstationary time series analysis［J］. Proceedings of the Royal Society A, 2017, 473(2199): 1503.06675.
［9］张波, 李健君.基于Hankel矩阵与奇异值分解(SVD)的滤波方法以及在飞机颤振试验数据预处理中的应用［J］.振动与冲击, 2009, 28(2): 162-166.
［10］赵学智, 叶邦彦, 陈统坚. 基于小波—奇异值分解差分谱的弱故障特征提取方法［J］.机械工程学报, 2012, 48(7):37-48.
［11］Kenneth A L . Bearing Data Center, Case Western Reserve University［EP/OL］.［2017-03-10］.http://www.eecs.case.edu/laboratory/bearing/download_fan. htm.
2018, Vol. 39 
