Research Article
Artificial Neural Network-Based Method for Seismic Analysis of Concrete-Filled Steel Tube Arch Bridges
Table 7
Damage probabilities of the predicted and true groups.
| | Direction | Earthquake intensity (g) | Probability of damage state exceedance (%) | Slight damage state | Moderate damage state | Extensive damage state | Collapse damage state |
| True value | Along the bridge | E1 (0.12) | 58.23 | 9.79 | 2.32 | 0.71 | E2 (0.20) | 71.58 | 17.60 | 5.17 | 1.84 | E3 (0.26) | 77.54 | 22.82 | 7.46 | 2.86 | E4 (0.34) | 82.82 | 28.97 | 10.52 | 4.34 | Transverse the bridge | E1 (0.12) | 56.17 | 8.31 | 1.79 | 0.51 | E2 (0.20) | 67.34 | 13.78 | 3.54 | 1.14 | E3 (0.26) | 72.58 | 17.38 | 4.89 | 1.67 | E4 (0.34) | 77.48 | 21.62 | 6.67 | 2.43 | Vertical | E1 (0.12) | 39.78 | 4.86 | 1.05 | 0.31 | E2 (0.20) | 62.93 | 14.25 | 4.27 | 1.58 | E3 (0.26) | 73.64 | 22.16 | 7.82 | 3.25 | E4 (0.34) | 82.68 | 32.37 | 13.39 | 6.22 |
| Predicted value | Along the bridge | E1 (0.12) | 56.75 | 11.54 | 3.33 | 1.21 | E2 (0.20) | 69.66 | 19.67 | 6.82 | 2.82 | E3 (0.26) | 75.55 | 24.94 | 9.47 | 4.17 | E4 (0.34) | 80.86 | 31.02 | 12.89 | 6.05 | Transverse the bridge | E1 (0.12) | 56.36 | 10.86 | 2.99 | 1.05 | E2 (0.20) | 67.08 | 17.05 | 5.48 | 2.13 | E3 (0.26) | 72.14 | 20.97 | 7.28 | 2.99 | E4 (0.34) | 76.88 | 25.49 | 9.55 | 4.14 | Vertical | E1 (0.12) | 40.02 | 6.50 | 1.78 | 0.64 | E2 (0.20) | 60.31 | 15.87 | 5.63 | 2.43 | E3 (0.26) | 70.04 | 23.10 | 9.310 | 4.38 | E4 (0.34) | 78.69 | 32.08 | 14.64 | 7.52 |
| Absolute error | Along the bridge | E1 (0.12) | −1.48 | 1.75 | 1.01 | 0.50 | E2 (0.20) | −1.92 | 2.07 | 1.65 | 0.98 | E3 (0.26) | −1.99 | 2.12 | 2.01 | 1.31 | E4 (0.34) | −1.96 | 2.05 | 2.37 | 1.71 | Transverse the bridge | E1 (0.12) | 0.19 | 2.55 | 1.20 | 0.54 | E2 (0.20) | −0.26 | 3.27 | 1.94 | 0.99 | E3 (0.26) | −0.44 | 3.59 | 2.39 | 1.32 | E4 (0.34) | −0.60 | 3.87 | 2.88 | 1.71 | Vertical | E1 (0.12) | 0.24 | 1.64 | 0.73 | 0.33 | E2 (0.20) | −2.62 | 1.62 | 1.36 | 0.85 | E3 (0.26) | −3.60 | 0.94 | 1.49 | 1.13 | E4 (0.34) | −3.99 | −0.29 | 1.25 | 1.30 |
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