Damaged Flexibility Matrix Method for Damage Detection of Frame Buildings

Table 1

Application of the DFM to the plane frame MTSAM building.

Damage case	Damaged elements	Simulated damage	Computed DSM [26]	Relative error DSM (%)	Computed DFM	Relative error DFM (%)	Number of iterations
D1	1, 5; 7, 8, 9, 36, 40; 22, 23, 24; 37, 38, 39; 55, 56, 57, 58	30	30	0	30	0	5
		20	20	0	20	0	5
		10	9.9	0.1	10	0	5
		20	19.9	0.1	20	0	5
		25	24.9	0.1	24.9	0.1	5
D2	1, 2, 3, 4, 5; 51, 52, 53, 54	20	20	0	20	0	5
		40	39.9	0.1	40	0	5
D3	46, 50; 47, 48, 49; 87, 88, 89, 90	20	20.1	0.1	20	0	2
		20	20	0	20	0	2
		40	40	0	40	0	2