Laser & Optoelectronics Progress, Volume. 59, Issue 21, 2107001(2022)

Feature Extraction of Bearing Faults Under Nonlinear Equalization of Variance Based on Wavelet Packet Decomposition

Zhiqing Zheng1, Haiyan Quan1, and Junbing Qian2、*
Author Affiliations
  • 1Faculty of Information Engineering and Automation, Kunming University of Science and Technology, Kunming 650500, Yunnan, China
  • 2Faculty of Civil Aviation and Aeronautics, Kunming University of Science and Technology, Kunming 650500, Yunnan, China
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    Figures & Tables(13)
    Structure diagram of wavelet packet decomposition tree
    Comparison chart of variance before and after processing of nonlinear equalization function. (a) Analysis of variance; (b) equalization analysis of variance
    Experimental setup
    Comparison chart of two kinds of variance analysis before and after nonlinear equalization function processing. (a) Analysis of variance; (b) equalization analysis of variance
    Comparison chart of two kinds of variance analysis under two-layer decomposition of wavelet packet. (a) Analysis of variance; (b) equalization analysis of variance
    Comparison of two kinds of variance analysis under four-layer decomposition of wavelet packet. (a) Analysis of variance; (b) equalization analysis of variance
    Comparison chart of two kinds of variance analysis under two-layer decomposition of wavelet packet. (a) Analysis of variance; (b) equalization analysis of variance
    • Table 1. Range of equalization variance of different bearing state signals in the 6th frequency band and the 7th frequency band

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      Table 1. Range of equalization variance of different bearing state signals in the 6th frequency band and the 7th frequency band

      Different bearings status signalFrequency band 6-range of equalization variance intervalFrequency band 7-range of equalization variance interval
      Normal[20.6996,21.2204][21.3962,22.9554]
      Rolling element fault[14.8024,16.4372][19.2174,20.5239]
      Inner ring fault[9.2565,11.0785][13.4376,15.3694]
      Outer ring fault[6.3673,8.9738][10.2205,13.2643]
    • Table 2. Degree of discrimination between adjacent bearing state signals in the 6th band and the 7th band

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      Table 2. Degree of discrimination between adjacent bearing state signals in the 6th band and the 7th band

      Adjacent bearing state signalFrequency band 6-discrimination degreeFrequency band 7-discrimination degree
      Normal and rolling element fault4.26240.8723
      Rolling element fault and inner ring fault3.72393.8480
      Inner ring fault and outer ring fault0.28270.1733
    • Table 3. Discrimination of state signals of adjacent bearings in each frequency band in two-layer decomposition of wavelet packet

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      Table 3. Discrimination of state signals of adjacent bearings in each frequency band in two-layer decomposition of wavelet packet

      Adjacent bearing state signalFrequency band 2-discrimination degreeFrequency band 3-discrimination degreeFrequency band 4-discrimination degree
      Normal and rolling element fault3.535610.15271.1720
      Rolling element fault and inner ring fault1.89781.36673.7189
      Inner ring fault and outer ring fault1.44972.75480.9462
    • Table 4. Interval range of equalization variance of each frequency band under two-layer decomposition of wavelet packet for different bearing state signals

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      Table 4. Interval range of equalization variance of each frequency band under two-layer decomposition of wavelet packet for different bearing state signals

      Different bearings state signalFrequency band 2- range of equalization variance intervalFrequency band 3- range of equalization variance intervalFrequency band 4- range of equalization variance interval
      Normal[14.3027,14.9307][20.0167,20.5811][21.2329,22.7619]
      Rolling element fault[9.0918,10.7670][8.4411,9.8640][18.6545,20.0609]
      Inner ring fault[6.3368,7.1940][6.2091,7.0744][12.9182,14.9355]
      Outer ring fault[2.7478,4.8871][1.9281,3.4543][9.6592,11.9720]
    • Table 5. Discrimination of state signals of adjacent bearings in each frequency band in two-layer decomposition of wavelet packet

      View table

      Table 5. Discrimination of state signals of adjacent bearings in each frequency band in two-layer decomposition of wavelet packet

      Adjacent bearing state signalFrequency band 2- discrimination degreeFrequency band 3- discrimination degreeFrequency band 4- discrimination degree
      Normal and rolling element fault3.22758.36571.7593
      Rolling element fault and inner ring fault1.62981.34043.9653
      Inner ring fault and outer ring fault1.05011.49571.5793
    • Table 6. Interval range of equalization variance of each frequency band under two-layer decomposition of wavelet packet for different bearing state signals

      View table

      Table 6. Interval range of equalization variance of each frequency band under two-layer decomposition of wavelet packet for different bearing state signals

      Different bearings status signalFrequency band 2- range of equalization variance intervalFrequency band 3- range of equalization variance intervalFrequency band 4- range of equalization variance interval
      Normal[13.6721,14.0954][17.8688,18.1822][21.6752,22.6967]
      Rolling element fault[8.9166,10.4446][8.0322,9.5031][18.4066,19.9159]
      Inner ring fault[6.2092,7.2868][5.3431,6.6918][13.2947,14.4413]
      Outer ring fault[3.1314,5.1591][2.6567,3.8475][9.7820,11.7154]
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    Zhiqing Zheng, Haiyan Quan, Junbing Qian. Feature Extraction of Bearing Faults Under Nonlinear Equalization of Variance Based on Wavelet Packet Decomposition[J]. Laser & Optoelectronics Progress, 2022, 59(21): 2107001

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    Paper Information

    Category: Fourier Optics and Signal Processing

    Received: Aug. 30, 2021

    Accepted: Oct. 25, 2021

    Published Online: Oct. 24, 2022

    The Author Email: Junbing Qian (1226160701@qq.com)

    DOI:10.3788/LOP202259.2107001

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