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Fig 1.

The flowchart of the proposed method.

Step 1: Load the raw signal and define the parameter ranges for L and n to optimize FMD. Based on reference [22], the range for L is [2, 50], and the range for n is [2, 7]. Step 2: Set the minimum envelope entropy as the fitness function for SABO-optimized FMD. Step 3: Use SABO to identify the optimal combination of parameters [L, n]. Step 4: Calculate the kurtosis values of the n IMFs and retain the IMF with the highest kurtosis value. Step 5: Analyze the retained IMFs using envelope spectrum analysis.

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Fig 1 Expand

Table 1.

The basic parameters of the drive-end bearing.

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Table 1 Expand

Fig 2.

The experimental apparatus used to extract the experimental data and its schematics.

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Fig 2 Expand

Table 2.

The fault characteristic frequencies (multiple of running speed in Hz).

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Table 2 Expand

Table 3.

The data description of 170.mat.

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Table 3 Expand

Fig 3.

The iterative process of the SABO.

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Fig 3 Expand

Fig 4.

The envelope spectrum after processing by the proposed method of 170.mat.

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Fig 4 Expand

Fig 5.

The time-domain waveform after processing by the proposed method of 170.mat.

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Fig 5 Expand

Fig 6.

The envelope spectrum after processing by the comparison method 1 of 170.mat.

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Fig 6 Expand

Fig 7.

The time-domain waveform after processing by the comparison method 1 of 170.mat.

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Fig 7 Expand

Fig 8.

The envelope spectrum after processing by the comparison method 2 of 170.mat.

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Fig 8 Expand

Fig 9.

The time-domain waveform after processing by the comparison method 2 of 170.mat.

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Fig 9 Expand

Table 4.

The experimental results of 170.mat.

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Table 4 Expand

Table 5.

The data description of 210.mat.

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Table 5 Expand

Fig 10.

The iterative process of the SABO.

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Fig 10 Expand

Fig 11.

The envelope spectrum after processing by the proposed method of 210.mat.

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Fig 11 Expand

Fig 12.

The time-domain waveform after processing by the proposed method of 210.mat.

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Fig 12 Expand

Fig 13.

The envelope spectrum after processing by the comparison method 1 of 210.mat.

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Fig 13 Expand

Fig 14.

The time-domain waveform after processing by the comparison method 1 of 210.mat.

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Fig 14 Expand

Fig 15.

The envelope spectrum after processing by the comparison method 2 of 210.mat.

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Fig 15 Expand

Fig 16.

The time-domain waveform after processing by the comparison method 2 of 210.mat.

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Fig 16 Expand

Table 6.

The experimental results of 210.mat.

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Table 6 Expand

Table 7.

The data description of 130.mat.

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Table 7 Expand

Fig 17.

The iterative process of the SABO.

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Fig 17 Expand

Fig 18.

The envelope spectrum after processing by the proposed method of 130.mat.

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Fig 18 Expand

Fig 19.

The time-domain waveform after processing by the proposed method of 130.mat.

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Fig 19 Expand

Fig 20.

The envelope spectrum after processing by the comparison method 1 of 130.mat.

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Fig 20 Expand

Fig 21.

The time-domain waveform after processing by the comparison method 1 of 130.mat.

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Fig 21 Expand

Fig 22.

The envelope spectrum after processing by the comparison method 2 of 130.mat.

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Fig 22 Expand

Fig 23.

The time-domain waveform after processing by the comparison method 2 of 130.mat.

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Fig 23 Expand

Table 8.

The experimental results of 130.mat.

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Table 8 Expand

Table 9.

The data description of 236.mat.

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Table 9 Expand

Fig 24.

The iterative process of the SABO.

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Fig 24 Expand

Fig 25.

The envelope spectrum after processing by the proposed method of 236.mat.

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Fig 25 Expand

Fig 26.

The time-domain waveform after processing by the proposed method of 236.mat.

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Fig 26 Expand

Fig 27.

The envelope spectrum after processing by the comparison method 1 of 236.mat.

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Fig 27 Expand

Fig 28.

The time-domain waveform after processing by the comparison method 1 of 236.mat.

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Fig 28 Expand

Fig 29.

The envelope spectrum after processing by the comparison method 2 of 236.mat.

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Fig 29 Expand

Fig 30.

The time-domain waveform after processing by the comparison method 2 of 236.mat.

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Fig 30 Expand

Table 10.

The experimental results of 236.mat.

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Table 10 Expand