Complete Inverse Method Using Ant Colony Optimization Algorithm for Structural Parameters and Excitation Identification from Output Only Measurements

Table 5

(a) Identified results for single hammer hit on the top floor (computation points = 60). (b) Identified results for single hammer hit on the top floor (computational points = 100). (c) Identified results for single hammer hit on the top floor (computation points = 300). (d) Identified results for single hammer hit on the top floor (computation points = 100 with different initial values for parameters).

(a)

Computation response segments	Identification results (×10^5) and identification errors
	𝑘1	Error	𝑘2	Error	𝑘3	Error
10.0~10.2 s	5.6027	−0.60	5.5243	−1.99	5.6330	−0.06
10.4~10.6 s	5.5882	−0.86	5.5804	−1.00	5.6430	0.12
10.8~11.0 s	5.5042	−2.35	5.7150	1.39	5.6406	0.07
11.2~11.4 s	5.6356	−0.02	5.4636	−3.07	5.6258	−0.19
11.6~11.8 s	5.4920	−2.56	5.6482	0.21	5.6706	0.60
12.0~12.2 s	5.5471	−1.59	5.6079	−0.51	5.6128	−0.42
12.4~12.6 s	5.6005	−0.64	5.5197	−2.07	5.6233	−0.23
12.8~13.0 s	5.4536	−3.25	5.6930	1.00	5.5977	−0.69
13.2~13.4 s	5.5688	−1.20	5.6138	−0.40	5.6182	−0.32
13.6~14.0 s	5.6279	−0.15	5.4499	−3.31	5.5719	−1.15
Average value	5.5621	−1.32	5.5816	−0.97	5.6237	−0.23

(b)

Computation response segments	Identification results (×10^5) and identification errors
	𝑘1	Error	𝑘2	Error	𝑘3	Error
10.0~10.33 s	5.5985	−0.67	5.6083	−0.50	5.6364	0.00
10.2~10.53 s	5.5308	−1.88	5.5969	−0.70	5.6462	0.17
10.4~10.73 s	5.5931	−0.77	5.5587	−1.38	5.6623	0.46
10.6~10.93 s	5.5365	−1.77	5.6322	−0.08	5.6652	0.51
10.8~11.13 s	5.5277	−1.93	5.6426	0.11	5.6669	0.54
11.0~11.33 s	5.5702	−1.18	5.5808	−0.99	5.6591	0.40
11.2~11.53 s	5.5274	−1.94	5.5934	−0.76	5.6655	0.51
11.4~11.73 s	5.5155	−2.15	5.6174	−0.34	5.6615	0.44
11.6~11.93 s	5.5655	−1.26	5.5664	−1.24	5.6284	−0.14
11.8~12.13 s	5.5815	−0.98	5.5713	−1.16	5.5944	−0.75
Average value	5.5547	−1.45	5.5968	−0.70	5.6486	0.21

(c)

Computation response segments	Identification results (×10^5) and identification errors
	𝑘1	Error	𝑘2	Error	𝑘3	Error
10.0~11.0 s	5.5588	−1.38	5.6011	−0.63	5.6436	0.13
10.4~11.4 s	5.5589	−1.38	5.6011	−0.63	5.6436	0.13
10.8~11.8 s	5.5202	−2.06	5.626	−0.19	5.6538	0.31
11.2~12.2 s	5.546	−1.61	5.5637	−1.29	5.6396	0.05
11.6~12.6 s	5.5457	−1.61	5.5805	−0.99	5.6326	−0.07
12.0~13.0 s	5.5195	−2.08	5.6151	−0.38	5.6089	−0.49
12.4~13.4 s	5.5409	−1.70	5.5773	−1.05	5.5951	−0.73
12.8~13.8 s	5.5409	−1.70	5.5773	−1.05	5.5951	−0.73
13.2~14.2 s	5.5392	−1.73	5.5713	−1.16	5.5805	−0.99
13.6~14.6 s	5.5578	−1.40	5.5061	−2.31	5.5519	−1.50
Average value	5.5428	−1.66	5.5820	−0.97	5.6145	−0.39

(d)

Computation response segments	Identification results (×10^5) and identification errors
	𝑘1	Error	𝑘2	Error	𝑘3	Error
10.0~10.33 s	5.5985	−0.67	5.6083	−0.50	5.6364	0.00
12.0~12.33 s	5.5665	−1.24	5.5997	−0.65	5.5795	−1.01
14.0~14.33 s	5.5667	−1.24	5.5997	−0.65	5.5795	−1.01
16.0~16.33 s	5.5005	−2.41	5.5325	−1.85	5.5381	−1.75
18.0~18.33 s	5.5362	−1.78	5.5068	−2.30	5.4753	−2.86
20.0~20.33 s	5.5362	−1.78	5.5068	−2.30	5.4752	−2.86
22.0~22.33 s	5.3287	−5.46	5.2234	−7.33	5.0971	−9.57
24.0~24.33 s	5.1685	−8.30	5.0521	−10.37	4.8238	−14.42
26.0~26.33 s	5.0674	−10.10	4.9758	−11.72	4.6406	−17.67
28.0~28.33 s	4.8131	−14.61	4.8464	−14.02	4.0776	−27.66