Rolling Bearing Fault Detection Based on the Teager Energy Operator and Elman Neural Network

Table 5

Test results.

Signal type; (1750 rpm)	Expected output	Actual output
Normal	(1,0,0)	𝟏.𝟎𝟎𝟐𝟑0.00120.0008
		𝟎.𝟗𝟗𝟖𝟕0.00080.0006
		𝟎.𝟗𝟗𝟗𝟑0.0005−0.0001
		𝟎.𝟗𝟗𝟕𝟒0.00070.0004
		𝟎.𝟗𝟗𝟖𝟔0.00090.0006
Inner ring fault	(0,1,0)	0.0023𝟏.𝟎𝟎𝟏𝟑0.0012
		0.0017𝟏.𝟎𝟎𝟎𝟏−0.0017
		0.0021𝟎.𝟗𝟗𝟗𝟐0.0008
		0.0011𝟎.𝟗𝟗𝟗𝟓0.0015
		0.0013𝟏.𝟎𝟎𝟏𝟐0.0004
Outer ring fault	(0,0,1)	−0.0021−0.0012𝟏.𝟎𝟎𝟎𝟗
		−0.0015−0.0002𝟏.𝟎𝟎𝟏𝟕
		0.00320.0027𝟎.𝟗𝟗𝟓𝟔
		−0.0034−0.0018𝟏.𝟎𝟎𝟑𝟐
		0.00850.0036𝟎.𝟗𝟖𝟕𝟖
Signal type; (1772 rpm)	Expected output	Actual output
Normal	(1,0,0)	𝟎.𝟗𝟗𝟖𝟗−0.0054−0.0214
		𝟎.𝟗𝟗𝟖𝟕−0.0058−0.0243
		𝟏.𝟎𝟎𝟎𝟐−0.0073−0.0317
		𝟎.𝟗𝟗𝟕𝟑−0.0066−0.0293
		𝟎.𝟗𝟗𝟗𝟕−0.0068−0.0312
Inner ring fault	(0,1,0)	0.2521𝟎.𝟗𝟗𝟔𝟕−0.0009
		0.2546𝟎.𝟗𝟗𝟒𝟗−0.0031
		0.2524𝟎.𝟗𝟗𝟖𝟗−0.0015
		0.2521𝟎.𝟗𝟗𝟗𝟓−0.0014
		0.2523𝟏.𝟎𝟎𝟏𝟐−0.0014
Outer ring fault	(0,0,1)	0.0769−0.1424𝟏.𝟎𝟎𝟎𝟐
		0.0774−0.1429𝟎.𝟗𝟗𝟗𝟐
		0.0777−0.1430𝟎.𝟗𝟗𝟔𝟕
		0.0779−0.1438𝟏.𝟎𝟎𝟎𝟏
		0.0781−0.1444𝟎.𝟗𝟗𝟕𝟔
Signal type; (1721 rpm)	Expected output	Actual output
Normal	(1,0,0)	𝟎.𝟗𝟗𝟖𝟗−0.14110.2092
		𝟎.𝟗𝟗𝟔𝟐−0.14010.2066
		𝟎.𝟗𝟗𝟔𝟏−0.13300.1877
		𝟎.𝟗𝟗𝟔𝟏−0.13340.1886
		𝟎.𝟗𝟗𝟔𝟏−0.13470.1913
Inner ring fault	(0,1,0)	0.0082𝟎.𝟗𝟗𝟒𝟑0.1207
		0.0050𝟎.𝟗𝟗𝟒𝟗0.1206
		0.0054𝟎.𝟗𝟗𝟑𝟗0.1199
		0.0035𝟎.𝟗𝟗𝟒𝟒0.1200
		−0.0001𝟎.𝟗𝟗𝟓𝟏0.1230
Outer ring fault	(0,0,1)	0.06080.0854𝟎.𝟗𝟗𝟔𝟑
		0.06090.0855𝟎.𝟗𝟗𝟔𝟏
		0.06140.0859𝟎.𝟗𝟗𝟔𝟕
		0.06170.0871𝟎.𝟗𝟗𝟕𝟐
		0.06150.0862𝟎.𝟗𝟗𝟕𝟎