A Probabilistic Damage Identification Approach for Structures under Unknown Excitation and with Measurement Uncertainties

Table 1

Comparisons of identified damage indices and damage probabilities.

Story; no.	Actual damage (%)	Noise level
		5%			20%
		𝐷𝑖 (%)	Error (%)	𝑃𝑖 (%)	𝐷𝑖 (%)	Error (%)	𝑃𝑖 (%)
1	0.00	0.01	0.01	49.2	0.34	0.34	49.4
2	0.00	−0.58	0.58	50.3	−0.97	0.97	56.6
3	−5.00	−4.32	0.68	99.2	−4.27	0.73	90.8
4	0.00	−0.45	0.45	50.3	−0.51	0.51	54.2
5	−20.00	−19.32	0.68	100	−18.63	1.37	100
6	0.00	0.01	0.01	49.9	−0.53	0.53	55.7
7	0.00	−0.900	0.900	51.8	−1.30	1.30	61.4
8	−10.00	−9.00	1.00	100	−8.58	1.41	92.1
9	0.00	−0.58	0.58	50.7	−0.67	0.67	56.5
10	0.00	−0.75	0.75	51.4	−0.73	0.73	57.2
Total error	—	—	0.88		—	0.85