Table 6 Update process for path #3
From: Integrated Equipment Health Prognosis Considering Crack Initiation Time Uncertainty and Random Shock
Update # | Inspection time / cycles | Crack size / mm | Mean of \(m\) | Mean of \(t_{0}\) / cycles | Mean of \(F(t_{0} ,m)\) / cycles |
|---|---|---|---|---|---|
Prior | Â | Â | 1.6 | \(6.5 \times 1 0^{7}\) | 1.331\(\times 1 0^{8}\) |
1 | 8.5\(\times 1 0^{7}\) | 0.2775 | 1.3006 | 6.7311\(\times 1 0^{7}\) | 2.639\(\times 1 0^{8}\) |
2 | 9.5\(\times 1 0^{7}\) | 0.3968 | 1.2382 | 6.8447\(\times 1 0^{7}\) | 3.126\(\times 1 0^{8}\) |
3 | 10.5\(\times 1 0^{7}\) | 1.0214 | 1.3204 | 6.8454\(\times 1 0^{7}\) | 2.183\(\times 1 0^{8}\) |
4 | 11.5\(\times 1 0^{7}\) | 2.4759 | 1.4303 | 4.7962\(\times 1 0^{7}\) | 1.480\(\times 1 0^{8}\) |
5 | 12.5\(\times 1 0^{7}\) | 2.7370 | 1.4233 | 4.7805\(\times 1 0^{7}\) | 1.524\(\times 1 0^{8}\) |
6 | 13.5\(\times 1 0^{7}\) | 3.6924 | 1.4301 | 4.7735\(\times 1 0^{7}\) | 1.454\(\times 1 0^{8}\) |
7 | 14.5\(\times 1 0^{7}\) | 4.7976 | 1.4334 | 4.8387\(\times 1 0^{7}\) | 1.465\(\times 1 0^{8}\) |
Actual value | Â | Â | 1.4354 | 5.0060\(\times 1 0^{7}\) | 1.474\(\times 1 0^{8}\) |