变转速下 范数与张量核范数联合约束的TRPCA滚动轴承故障特征提取方法

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摘要滚动轴承作为旋转机械设备的重要部件之一，其工作状态直接影响旋转设备的运行安全，因此其故障特征的有效提取对于保障机械设备正常运行具有重要的意义。实际应用中滚动轴承通常以变化的速度运行，并且单一传感器采集的轴承的非平稳信号往往被严重的背景噪声覆盖，使得故障特征的提取非常困难。为了解决这一问题，本文提出一种变转速下范数与张量核范数联合约束的TRPCA的滚动轴承故障特征提取方法。首先，使用时频表示（Time-Frequency Representation，TFR）作为正向切片构建张量，分别探讨滚动轴承时变故障特征在张量域中的管稀疏性和背景噪声在张量域中的低管秩性。进而使用范数与张量核范数联合约束的张量主成分分析（Tensor Robust Principal Component Analysis, TRPCA）对故障特征张量进行提取，得到管稀疏的故障特征张量。最后将提取的故障特征张量在通道索引中进行融合，得到能够有效表征故障特征的时频表示。仿真和实验分析验证了该方法在轴承故障特征提取中的有效性。

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	王冉1
	曹徐1
	张军武1
	余亮2

关键词 ：张量, 故障特征提取, 变转速工况, TRPCA, 管稀疏

Abstract：As one of the important components of rotating mechanical equipment, the effective extraction of fault features from rolling bearings is of great importance to ensure the regular operation of mechanical equipment. In practical applications, rolling bearings usually operate at variable speeds, and the non-stationary signal of the bearings collected by a single sensor are often covered by severe background noise, making the task of fault feature extraction very difficult. This paper proposes a robust fault feature extraction method based on time-frequency analysis under variable speed conditions. First, the time-frequency representation (TFR) is used as frontal slices to construct the tensor, and explore the tubewise sparsity of time-varying fault features and the low rank property of the background noise in the tensor domain. Then, the tensor robust principal component analysis (TRPCA) with joint constraints of norm and tensor nuclear norm is used to extract the fault feature tensor, obtaining a tubewise sparse fault feature tensor. Finally, the extracted fault feature tensor is fused the channel index to get a time-frequency representation that can effectively represent the fault features. Simulation and experimental analyses verify the effectiveness of this method in bearing fault feature extraction.

Key words： tensor fault feature extraction variable speed conditions TRPCA tubewise sparsity

收稿日期: 2023-03-01 出版日期: 2024-04-15

引用本文:

王冉1，曹徐1，张军武1，余亮2. 变转速下范数与张量核范数联合约束的TRPCA滚动轴承故障特征提取方法[J]. 振动与冲击, 2024, 43(7): 84-93.
WANG Ran1, CAO Xu1, ZHANG Junwu1, YU Liang2. TRPCA rolling bearing fault feature extraction method with joint constraints of L 1,1,2 norm and tensor kernel norm under variable rotating speed. JOURNAL OF VIBRATION AND SHOCK, 2024, 43(7): 84-93.

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http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2024/V43/I7/84

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