A Universal Fast Algorithm for Sensitivity-Based Structural Damage Detection

Table 4

The results obtained by the universal fast algorithm (Example 2).

Damage case	Element no.	True damage reduction	No noise	With noise
1	16	0.3	0.286 (4.7%)↓	0.325 (8.3%)↓
2	1	0.3	0.292 (2.7%)↓	0.311 (3.7%)↓
	2	0.2	0.206 (3%)↓	0.238 (19%)↓
3	7	0.15	0.153 (2%)↓	0.154 (2.7%)↓
	11	0.2	0.191 (4.5%)↓	0.172 (14%)
	12	0.15	0.134 (10.7%)	0.144 (4%)

∗The value in bracket denotes the comparative error between the calculated value and the true value. “↓” denotes the decrease in error.