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Shock and Vibration Volume 2018 ,2018-10-23
Identification Method of Shaft Orbit in Rotating Machines Based on Accurate Fourier Height Functions Descriptors
Research Article
Bo Wu 1 , 2 Songlin Feng 1 , 2 Guodong Sun 3 Liang Xu 3 Chenghan Ai 3
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DOI:10.1155/2018/3737250
Received 2018-08-09, accepted for publication 2018-09-16, Published 2018-09-16
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摘要

In this paper, an algorithm based on two novel shape descriptors and support vector machine (SVM) is proposed to improve the recognition accuracy and speed of shaft orbits of rotating machines. Firstly, two novel shape descriptors, respectively, named accurate Fourier height functions 1 (AFHF1) and accurate Fourier height functions 2 (AFHF2) are presented based on height function (HF) and Fourier transformation. Both AFHF1 and AFHF2 shape descriptors are constant to similarity transforms and also have intrinsic invariance to the starting point change and are more compacted than HF. Therefore, they perform well on the global or local features of the contours of shaft orbits. Then, the AFHF1 and AFHF2 shape descriptors are utilized to extract features of shaft orbits in the simulated dataset and measured dataset. Taking extracted feature vectors as the input, SVM is adopted in order to classify the fault types according to the shapes of shaft orbits. Finally, a series of descriptors including shape context (SC), inner-distance shape context (IDSC), triangular centroid distances (TCDs), and HF were compared to verify the performance of the proposed AFHF1 and AFHF2 shape descriptors. The average accuracy of our method in simulated dataset and measured dataset are all higher than 99.83%, the average recognition time of each sample is no more than 19 milliseconds. The experiments demonstrate that the proposed method has the best recognition accuracy and real-time and antinoise performance.

授权许可

Copyright © 2018 Bo Wu et al. 2018
This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

图表

The Height Functions for the sample point xi.

Accurate height values for the sample point xi.

Comparison of HF, AFHF1, and AFHF2 descriptor from different starting points. (a) Petal-shaped shaft orbit; (b) shape contour 1 of (a); (c) shape contour 2 of (a); (d) HF shape descriptor of (b); (e) HF shape descriptor of (c); (f) AFHF1 shape descriptor of (b); (g) AFHF1 shape descriptor of (c); (h) AFHF2 shape descriptor of (b); (i) AFHF2 shape descriptor of (c).

Comparison of HF, AFHF1, and AFHF2 descriptor from different starting points. (a) Petal-shaped shaft orbit; (b) shape contour 1 of (a); (c) shape contour 2 of (a); (d) HF shape descriptor of (b); (e) HF shape descriptor of (c); (f) AFHF1 shape descriptor of (b); (g) AFHF1 shape descriptor of (c); (h) AFHF2 shape descriptor of (b); (i) AFHF2 shape descriptor of (c).

Comparison of HF, AFHF1, and AFHF2 descriptor from different starting points. (a) Petal-shaped shaft orbit; (b) shape contour 1 of (a); (c) shape contour 2 of (a); (d) HF shape descriptor of (b); (e) HF shape descriptor of (c); (f) AFHF1 shape descriptor of (b); (g) AFHF1 shape descriptor of (c); (h) AFHF2 shape descriptor of (b); (i) AFHF2 shape descriptor of (c).

Comparison of HF, AFHF1, and AFHF2 descriptor from different starting points. (a) Petal-shaped shaft orbit; (b) shape contour 1 of (a); (c) shape contour 2 of (a); (d) HF shape descriptor of (b); (e) HF shape descriptor of (c); (f) AFHF1 shape descriptor of (b); (g) AFHF1 shape descriptor of (c); (h) AFHF2 shape descriptor of (b); (i) AFHF2 shape descriptor of (c).

Comparison of HF, AFHF1, and AFHF2 descriptor from different starting points. (a) Petal-shaped shaft orbit; (b) shape contour 1 of (a); (c) shape contour 2 of (a); (d) HF shape descriptor of (b); (e) HF shape descriptor of (c); (f) AFHF1 shape descriptor of (b); (g) AFHF1 shape descriptor of (c); (h) AFHF2 shape descriptor of (b); (i) AFHF2 shape descriptor of (c).

Comparison of HF, AFHF1, and AFHF2 descriptor from different starting points. (a) Petal-shaped shaft orbit; (b) shape contour 1 of (a); (c) shape contour 2 of (a); (d) HF shape descriptor of (b); (e) HF shape descriptor of (c); (f) AFHF1 shape descriptor of (b); (g) AFHF1 shape descriptor of (c); (h) AFHF2 shape descriptor of (b); (i) AFHF2 shape descriptor of (c).

Comparison of HF, AFHF1, and AFHF2 descriptor from different starting points. (a) Petal-shaped shaft orbit; (b) shape contour 1 of (a); (c) shape contour 2 of (a); (d) HF shape descriptor of (b); (e) HF shape descriptor of (c); (f) AFHF1 shape descriptor of (b); (g) AFHF1 shape descriptor of (c); (h) AFHF2 shape descriptor of (b); (i) AFHF2 shape descriptor of (c).

Comparison of HF, AFHF1, and AFHF2 descriptor from different starting points. (a) Petal-shaped shaft orbit; (b) shape contour 1 of (a); (c) shape contour 2 of (a); (d) HF shape descriptor of (b); (e) HF shape descriptor of (c); (f) AFHF1 shape descriptor of (b); (g) AFHF1 shape descriptor of (c); (h) AFHF2 shape descriptor of (b); (i) AFHF2 shape descriptor of (c).

Comparison of HF, AFHF1, and AFHF2 descriptor from different starting points. (a) Petal-shaped shaft orbit; (b) shape contour 1 of (a); (c) shape contour 2 of (a); (d) HF shape descriptor of (b); (e) HF shape descriptor of (c); (f) AFHF1 shape descriptor of (b); (g) AFHF1 shape descriptor of (c); (h) AFHF2 shape descriptor of (b); (i) AFHF2 shape descriptor of (c).

Process of shaft orbit identification method based on AFHFs and SVM.

The typical samples of simulated shaft orbit dataset. (a) Banana-shaped; (b) petal-shaped; (c) inner “8”; (d) outer “8”; (e) ellipse.

The typical samples of simulated shaft orbit dataset. (a) Banana-shaped; (b) petal-shaped; (c) inner “8”; (d) outer “8”; (e) ellipse.

The typical samples of simulated shaft orbit dataset. (a) Banana-shaped; (b) petal-shaped; (c) inner “8”; (d) outer “8”; (e) ellipse.

The typical samples of simulated shaft orbit dataset. (a) Banana-shaped; (b) petal-shaped; (c) inner “8”; (d) outer “8”; (e) ellipse.

The typical samples of simulated shaft orbit dataset. (a) Banana-shaped; (b) petal-shaped; (c) inner “8”; (d) outer “8”; (e) ellipse.

The experiment flowchart.

Accuracy comparison of different algorithms on simulated shaft orbits.

Structure of bearing rotor test bench.

Measured shaft orbit. (a) Original shaft orbit. (b) Shaft orbit after preprocessing.

Measured shaft orbit. (a) Original shaft orbit. (b) Shaft orbit after preprocessing.

通讯作者

Guodong Sun.School of Mechanical Engineering, Hubei University of Technology, Wuhan 430068, China, hbut.edu.cn.sgdeagle@163.com

推荐引用方式

Bo Wu,Songlin Feng,Guodong Sun,Liang Xu,Chenghan Ai. Identification Method of Shaft Orbit in Rotating Machines Based on Accurate Fourier Height Functions Descriptors. Shock and Vibration ,Vol.2018(2018)

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