Mechanical Engineering

PCA Feature Frequency Extraction Algorithm Based on SVD Principle and Its Application

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  • 1. School of Mechanical and Automotive Engineering,South China University of Technology,Guangzhou 510640,Guangdong, China; 2. School of Marine Engineering,Guangzhou Maritime University,Guangzhou,510725,Guangdong,China
郭明军 (1991-) ,男,博士生,主要从事信号处理、故障诊断等研究。E-mail: 2549247887@ qq. com

Received date: 2019-03-19

  Revised date: 2019-08-19

  Online published: 2019-12-01

Supported by

Supported by the National Natural Science Foundation of China ( 51875205,51875216) and the Natural Sci- ence Foundation of Guangdong Province ( 2018A030310017,2019A1515011780)

Abstract

A PCA feature frequency extraction algorithm based on SVD principle was proposed to solve the noise pollution problem in the measured displacement signal of rotor. Firstly,the intrinsic relationship between PCA and SVD was deduced theoretically. That is,the eigenvalue of the covariance matrix generated by PCA was equal to the square of the singular value of the matrix generated by SVD,and the eigenvector generated by PCA was equal to the left singular vector generated by SVD. Then,based on the above conclusions,a PCA feature frequency ex- traction algorithm based on SVD principle was proposed,and the effectiveness of the algorithm was verified by simu- lation signals. Finally,the algorithm was applied to purify axis orbits of the rotor of a large sliding bearing test bed. The axis orbits are clear and concentrated,the misalignment and friction faults were identified successfully.

Cite this article

GUO Mingjun, LI Weiguang, YANG Qijiang, et al . PCA Feature Frequency Extraction Algorithm Based on SVD Principle and Its Application[J]. Journal of South China University of Technology(Natural Science), 2020 , 48(1) : 1 -9 . DOI: 10.12141/j.issn.1000-565X.190103

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