Research Article
Alpha-Stable Distribution and Multifractal Detrended Fluctuation Analysis-Based Fault Diagnosis Method Application for Axle Box Bearings
Table 3
The detailed descriptions of seven vibration acceleration signals.
| Operational status | α | γ | H | hq0 | hqmin |
| Normal (S1) | 1.8993 | 0.0096 | 29.4120 | 1.8457 | 1.4556 | 1.9067 | 0.0087 | 29.0582 | 1.8591 | 1.5075 | 1.9151 | 0.0089 | 30.4335 | 1.8383 | 1.4541 | 1.9094 | 0.0092 | 30.9254 | 1.8247 | 1.5057 | 1.9195 | 0.0088 | 30.0025 | 1.8480 | 1.4841 | 1.9034 | 0.0095 | 29.6416 | 1.8510 | 1.4693 | 1.9052 | 0.0095 | 29.7845 | 1.8449 | 1.4516 | 1.9132 | 0.0094 | 30.0323 | 1.8395 | 1.4932 | 1.9077 | 0.0093 | 30.3889 | 1.8541 | 1.5014 | 1.9023 | 0.0090 | 31.1737 | 1.8451 | 1.4525 |
| Slight inner-race faults (S2) | 1.3320 | 0.0107 | 26.1155 | 1.7160 | 1.0720 | 1.3154 | 0.0102 | 25.5469 | 1.7137 | 1.0633 | 1.3296 | 0.0101 | 25.8140 | 1.7135 | 1.0638 | 1.3230 | 0.0112 | 26.1135 | 1.7087 | 1.0595 | 1.3287 | 0.0109 | 26.1692 | 1.7065 | 1.0607 | 1.3292 | 0.0104 | 25.9836 | 1.7066 | 1.0590 | 1.3172 | 0.0104 | 27.0754 | 1.7176 | 1.0719 | 1.3133 | 0.0109 | 26.2662 | 1.7060 | 1.0611 | 1.3212 | 0.0111 | 26.0422 | 1.7197 | 1.0644 | 1.3164 | 0.0115 | 26.3823 | 1.7269 | 1.0789 |
| Serious inner-race faults (S3) | 0.7018 | 0.0151 | 19.4513 | 1.6388 | 0.9678 | 0.6925 | 0.0144 | 18.1511 | 1.6445 | 0.9641 | 0.6956 | 0.0149 | 18.9960 | 1.6459 | 0.9738 | 0.7049 | 0.0152 | 18.8235 | 1.6483 | 0.9577 | 0.6841 | 0.0146 | 19.9549 | 1.6394 | 0.9867 | 0.6898 | 0.0144 | 19.9818 | 1.6560 | 0.9787 | 0.6985 | 0.0152 | 20.1924 | 1.6455 | 0.9669 | 0.6819 | 0.0153 | 19.1857 | 1.6498 | 0.9629 | 0.6900 | 0.0150 | 19.8159 | 1.6552 | 0.9838 | 0.6961 | 0.0156 | 19.4017 | 1.6496 | 0.9741 |
| Slight outer-race faults (S4) | 1.5162 | 0.0158 | 17.6917 | 1.5515 | 1.2857 | 1.5307 | 0.0158 | 17.7755 | 1.5296 | 1.2828 | 1.5223 | 0.0164 | 17.7314 | 1.5451 | 1.3100 | 1.5254 | 0.0158 | 17.7576 | 1.5231 | 1.3149 | 1.5047 | 0.0159 | 17.7512 | 1.5361 | 1.2986 | 1.5282 | 0.0161 | 17.5879 | 1.5306 | 1.2912 | 1.5093 | 0.0158 | 17.8053 | 1.5216 | 1.2982 | 1.5190 | 0.0159 | 17.7555 | 1.5507 | 1.3040 | 1.5242 | 0.0161 | 17.6028 | 1.5440 | 1.3017 | 1.5221 | 0.0162 | 17.5019 | 1.5411 | 1.2853 |
| Serious outer-race faults (S5) | 1.4205 | 0.0188 | 15.1236 | 1.4037 | 1.1938 | 1.4250 | 0.0186 | 15.2996 | 1.3930 | 1.2019 | 1.4322 | 0.0181 | 15.0908 | 1.3960 | 1.2091 | 1.4158 | 0.0186 | 15.1885 | 1.3908 | 1.1998 | 1.4307 | 0.0187 | 15.1936 | 1.3810 | 1.2067 | 1.4247 | 0.0185 | 15.3594 | 1.3926 | 1.2138 | 1.4193 | 0.0177 | 16.1091 | 1.3934 | 1.1992 | 1.4096 | 0.0193 | 15.7148 | 1.3824 | 1.2013 | 1.4166 | 0.0193 | 15.7449 | 1.3909 | 1.2060 | 1.4202 | 0.0191 | 15.8696 | 1.3758 | 1.1869 |
| Slight ball faults (S6) | 1.5929 | 0.0121 | 23.1508 | 1.6817 | 1.3872 | 1.6082 | 0.0119 | 23.4960 | 1.6839 | 1.3865 | 1.6002 | 0.0121 | 23.2410 | 1.6746 | 1.3822 | 1.5919 | 0.0119 | 23.6557 | 1.6863 | 1.3884 | 1.5844 | 0.0123 | 22.9531 | 1.6848 | 1.3910 | 1.5880 | 0.0120 | 23.4184 | 1.6831 | 1.3833 | 1.5999 | 0.0121 | 23.1717 | 1.6728 | 1.3847 | 1.5890 | 0.0117 | 24.0167 | 1.6733 | 1.3857 | 1.6057 | 0.0120 | 23.3415 | 1.6825 | 1.3832 | 1.5960 | 0.0123 | 22.8547 | 1.6835 | 1.3765 |
| Serious ball faults (S7) | 1.3643 | 0.0203 | 12.7830 | 1.4739 | 1.2476 | 1.3555 | 0.0199 | 12.9226 | 1.4870 | 1.2584 | 1.3634 | 0.0203 | 13.3643 | 1.4676 | 1.2451 | 1.3552 | 0.0210 | 13.2624 | 1.4715 | 1.2599 | 1.3583 | 0.0197 | 13.4797 | 1.4755 | 1.2608 | 1.3419 | 0.0199 | 14.0001 | 1.4803 | 1.2462 | 1.3540 | 0.0205 | 13.6946 | 1.4822 | 1.2461 | 1.3492 | 0.0211 | 13.3486 | 1.4821 | 1.2570 | 1.3509 | 0.0207 | 13.5415 | 1.4813 | 1.2592 | 1.3679 | 0.0215 | 13.1382 | 1.4982 | 1.2529 |
|
|