Int J Performability Eng ›› 2018, Vol. 14 ›› Issue (12): 2905-2914.doi: 10.23940/ijpe.18.12.p1.29052914
Yanhua Cao(), Jinmao Guo, Yong Li, and Huiqiang Lv
Revised on
;
Accepted on
Contact:
Cao Yanhua
E-mail:mark_cao1983@163.com
Yanhua Cao, Jinmao Guo, Yong Li, and Huiqiang Lv. Engine Life Prediction based on Degradation Data [J]. Int J Performability Eng, 2018, 14(12): 2905-2914.
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Table 1
Sample data"
Number | Use time/h | ${{\hat{p}}_{\max }}$/MPa | ${{\hat{\theta }}_{fd}}$/oCA | ${{\hat{V}}_{p}}$/g2 |
---|---|---|---|---|
1 | 11 | 2.8950 | 34.9500 | 54.3540 |
2 | 38 | 2.8744 | 33.9796 | 48.7860 |
3 | 59 | 2.8647 | 33.9000 | 46.8470 |
4 | 103 | 2.8228 | 32.8462 | 42.8991 |
5 | 140 | 2.8090 | 32.1142 | 42.0632 |
6 | 187 | 2.7958 | 31.1880 | 38.8610 |
7 | 190 | 2.7847 | 31.1671 | 36.0951 |
8 | 250 | 2.7736 | 31.0942 | 31.3503 |
9 | 300 | 2.7521 | 30.3144 | 32.9560 |
10 | 320 | 2.7439 | 29.5521 | 32.7874 |
11 | 350 | 2.7330 | 29.0114 | 30.8780 |
12 | 390 | 2.7132 | 28.9751 | 31.7270 |
13 | 450 | 2.6739 | 27.5521 | 28.4621 |
14 | 497 | 2.6647 | 26.6285 | 26.5810 |
15 | 507 | 2.6527 | 26.4883 | 27.8581 |
16 | 550 | 2.6429 | 25.8854 | 25.1580 |
Table 4
Standardized data and its principal component"
Number | Use time/h | Standardized data and the PCX | |||
---|---|---|---|---|---|
${{{\hat{p}}'}_{\max }}$ | $\hat{\theta }_{fd}^{'}$ | ${{{\hat{V}}'}_{p}}$ | X | ||
1 | 11 | 1.6627 | 1.6318 | 2.1069 | 3.1160 |
2 | 38 | 1.4047 | 1.2874 | 1.4641 | 2.3989 |
3 | 59 | 1.2832 | 1.2591 | 1.2402 | 2.1840 |
4 | 103 | 0.7582 | 0.8850 | 0.7845 | 1.4017 |
5 | 140 | 0.5854 | 0.6252 | 0.6880 | 1.0956 |
6 | 187 | 0.4200 | 0.2964 | 0.3183 | 0.5977 |
7 | 190 | 0.2809 | 0.2890 | -0.0010 | 0.3300 |
8 | 250 | 0.1419 | 0.2631 | -0.5488 | -0.0790 |
9 | 300 | -0.1275 | -0.0137 | -0.3634 | -0.2898 |
10 | 320 | -0.2302 | -0.2843 | -0.3829 | -0.5173 |
11 | 350 | -0.3668 | -0.4762 | -0.6033 | -0.8339 |
12 | 390 | -0.6148 | -0.4891 | -0.5053 | -0.9294 |
13 | 450 | -1.1071 | -0.9942 | -0.8822 | -1.7235 |
14 | 497 | -1.2224 | -1.3220 | -1.0994 | -2.1046 |
15 | 507 | -1.3727 | -1.3718 | -0.9520 | -2.1364 |
16 | 550 | -1.4955 | -1.5858 | -1.2637 | -2.5100 |
Table 6
The interpolation point data of principal component X"
Use time/h | X | Use time /h | X | Use time /h | X |
---|---|---|---|---|---|
20 | 2.8770 | 200 | 0.2618 | 380 | -0.9055 |
30 | 2.6114 | 210 | 0.1937 | 390 | -0.9294 |
40 | 2.3784 | 220 | 0.1255 | 400 | -1.0618 |
50 | 2.2761 | 230 | 0.0573 | 410 | -1.1941 |
60 | 2.1662 | 240 | -0.0108 | 420 | -1.3264 |
70 | 1.9884 | 250 | -0.0790 | 430 | -1.4588 |
80 | 1.8106 | 260 | -0.1212 | 440 | -1.5912 |
90 | 1.6328 | 270 | -0.1633 | 450 | -1.7235 |
100 | 1.4550 | 280 | -0.2055 | 460 | -1.8046 |
110 | 1.3438 | 290 | -0.2476 | 470 | -1.8857 |
120 | 1.2611 | 300 | -0.2898 | 480 | -1.9668 |
130 | 1.1783 | 310 | -0.4036 | 490 | -2.0478 |
140 | 1.0956 | 320 | -0.5173 | 500 | -2.1141 |
150 | 0.9897 | 330 | -0.6228 | 510 | -2.1625 |
160 | 0.8837 | 340 | -0.7284 | 520 | -2.2493 |
170 | 0.7778 | 350 | -0.8339 | 530 | -2.3362 |
180 | 0.6719 | 360 | -0.8578 | 540 | -2.4231 |
190 | 0.3300 | 370 | -0.8817 | 550 | -2.5100 |
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