基于小波包频带稀疏编码的非完备信息条件下轴承状态识别

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摘要针对传统稀疏编码不够精细的问题，提出一种小波包频带稀疏编码算法。首先对原始信号进行小波包分解和最优频带选择，对每个最优频带分别训练一个过完备稀疏字典，并将待测试信号每个频带的压缩重构误差作为新的稀疏编码，利用灰色B型绝对关联度降维得到最终退化特征。考虑到轴承正常运行状态和严重摩擦状态容易识别，建立基于上述两种状态的非完备信息条件下轴承退化状态评估模型，根据设定好的门限值设置预警线。利用公开轴承全寿命数据进行仿真分析，发现新的稀疏编码特征其预警线临界点早于传统稀疏编码特征，从而能够更早发布故障报警。此外，对新稀疏编码算法的判别性、抗噪性和时间复杂度进行了研究。

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	马云飞1
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	贾希胜2
	胡起伟2
	郭驰名2
	邢鹏2

关键词 ：稀疏编码, 灰色B型绝对关联度, 退化状态识别, 轴承, 压缩感知

Abstract：Aiming at the problem that traditional sparse coding is not accurate enough, the sparse coding on wavelet packet frequency bands was proposed. First, the wavelet packet decomposition and optimal frequency bands selection were performed on the original signal. Over-complete sparse dictionaries were trained for each optimal frequency band. The compression and reconstruction errors of each frequency band for the signal to be tested were used as the new sparse codes. To obtain final degradation features, the absolute grey relational degree of B-mode method was used here for dimension reduction. Considering that the normal running state and serious friction state of the bearing are easy to identify, an evaluation model under incomplete information based on the above two states was established, and an early warning line was set according to the threshold preset. The simulation analysis of public bearing full life data show that the new sparse coding feature has an early warning line critical point earlier than that of traditional sparse coding feature, thus the fault alarms can be issued earlier. In addition, the discrimination, noise immunity and time complexity of the new sparse coding algorithm were also studied.

Key words： sparse coding absolute grey relational degree of B-mode degradation state recognition bearing compressive sensing;

收稿日期: 2019-12-02 出版日期: 2021-12-15

引用本文:

马云飞1,2，贾希胜2，胡起伟2，郭驰名2，邢鹏2. 基于小波包频带稀疏编码的非完备信息条件下轴承状态识别[J]. 振动与冲击, 2021, 40(23): 288-294.
MA Yunfei 1,2, JIA Xisheng2, HU Qiwei2, GUO Chiming2, XING Peng2. Bearing state recognition based on sparse coding for wavelet packet frequency bands without complete prior knowledge. JOURNAL OF VIBRATION AND SHOCK, 2021, 40(23): 288-294.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2021/V40/I23/288

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