Research on rolling bearing fault diagnosis technology based on singular value decomposition

IF 1.4 4区 物理与天体物理 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY
AIP Advances Pub Date : 2024-08-07 DOI:10.1063/5.0225222
Jingfang Ji, Jingmin Ge
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引用次数: 0

Abstract

To solve the difficulty of selecting the number of effective singular values in Singular Value Decomposition denoising, a new method to determine the number of effective singular values is proposed. The proposed method to determine the number of effective singular values is based on the non-zero singular value distribution law of the Hankel matrix constructed by the signal. Specifically, the number of effective singular values in the Hankel matrix is twice the number of frequencies contained in the signal, and the difference between the effective singular values of the noisy signal and the non-zero singular values of the pure signal is very small. The proposed method for determining the number of effective singular values is to perform differential processing on the singular values of the signal and normalize the difference obtained. An empirical parameter T is provided, and the number of effective singular values is determined by comparing them with the normalized results. The proposed method is applied to the simulated and measured rolling bearing signals, and the results are compared with the wavelet threshold denoising method. The results show that the proposed method for determining the number of singular values can effectively filter out the noise frequency contained in the signal while maintaining the characteristic frequency of the signal and achieving the purpose of mechanical equipment fault diagnosis.
基于奇异值分解的滚动轴承故障诊断技术研究
为了解决奇异值分解去噪中有效奇异值个数选择的难题,提出了一种确定有效奇异值个数的新方法。所提出的有效奇异值个数确定方法是基于信号构建的汉克尔矩阵的非零奇异值分布规律。具体来说,汉克尔矩阵中的有效奇异值数量是信号所含频率数量的两倍,而噪声信号的有效奇异值与纯信号的非零奇异值之间的差异非常小。所提出的确定有效奇异值数量的方法是对信号的奇异值进行差分处理,并对得到的差值进行归一化处理。提供一个经验参数 T,通过与归一化结果进行比较,确定有效奇异值的数量。将所提出的方法应用于模拟和测量的滚动轴承信号,并将结果与小波阈值去噪方法进行比较。结果表明,所提出的奇异值个数确定方法能有效滤除信号中包含的噪声频率,同时保持信号的特征频率,达到机械设备故障诊断的目的。
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来源期刊
AIP Advances
AIP Advances NANOSCIENCE & NANOTECHNOLOGY-MATERIALS SCIENCE, MULTIDISCIPLINARY
CiteScore
2.80
自引率
6.20%
发文量
1233
审稿时长
2-4 weeks
期刊介绍: AIP Advances is an open access journal publishing in all areas of physical sciences—applied, theoretical, and experimental. All published articles are freely available to read, download, and share. The journal prides itself on the belief that all good science is important and relevant. Our inclusive scope and publication standards make it an essential outlet for scientists in the physical sciences. AIP Advances is a community-based journal, with a fast production cycle. The quick publication process and open-access model allows us to quickly distribute new scientific concepts. Our Editors, assisted by peer review, determine whether a manuscript is technically correct and original. After publication, the readership evaluates whether a manuscript is timely, relevant, or significant.
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