Sparseness-controlled non-negative tensor factorization and its application in machinery fault diagnosis  

含稀疏度约束的非负张量分解算法及其在故障诊断中的应用(英文)

作　　者：彭森[1] 许飞云[1] 贾民平[1] 胡建中[1] 

机构地区：[1]东南大学机械工程学院,南京211189

出　　处：《Journal of Southeast University(English Edition)》2009年第3期346-350,共5页东南大学学报（英文版）

基　　金：The National Natural Science Foundation of China (No.50875048);the Natural Science Foundation of Jiangsu Province (No.BK2007115);the National High Technology Research and Development Program of China (863 Program)(No.2007AA04Z421)

摘　　要：Aiming at the problems of bispectral analysis when applied to machinery fault diagnosis, a machinery fault feature extraction method based on sparseness-controlled non-negative tensor factorization （SNTF） is proposed. First, a non-negative tensor factorization（NTF） algorithm is improved by imposing sparseness constraints on it. Secondly, the bispectral images of mechanical signals are obtained and stacked to form a third-order tensor. Thirdly, the improved algorithm is used to extract features, which are represented by a series of basis images from this tensor. Finally, coefficients indicating these basis images＇ weights in constituting original bispectral images are calculated for fault classification. Experiments on fault diagnosis of gearboxes show that the extracted features can not only reveal some nonlinear characteristics of the system, but also have intuitive meanings with regard to fault characteristic frequencies. These features provide great convenience for the interpretation of the relationships between machinery faults and corresponding bispectra.针对双谱分析在应用于机械设备故障诊断过程中面临的问题,提出了含有稀疏度约束的非负张量分解算法及基于此的二次故障特征提取方法.首先,改进已有的非负张量分解算法,加入稀疏度控制策略;其次,将机械振动信号的双谱图像堆叠为一个三阶张量;然后利用改进后的分解算法对该张量进行二次故障特征提取,得到代表局部特征的"基图像";最后,通过计算得出基图像在构成原双谱图像中所占的权重,并将得到的权重向量用于故障分类.将该方法应用于齿轮箱故障诊断的结果表明,从齿轮箱振动信号的双谱中提取出来的二次特征不仅能够反映出系统中存在的一些非线性特征,而且二次特征与故障特征频率之间有直观的对应关系,从而为解释齿轮箱故障与对应双谱之间的关系提供了很大的方便.

关 键 词：non-negative tensor factorization SPARSENESS feature extraction bispectrum gearbox 

分 类 号：TP206.3[自动化与计算机技术—检测技术与自动化装置]