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