Health Assessment of Large Two Dimensional Structures Using Limited Information: Recent Advances

Table 1

Stiffness parameter (EI/L) identification for defect-free frame using GILS-EKF-UI.

(a) Stage 1: Identification of substructure

Member	Identified (EI/L) values in (kN-m)
	Nominal/Theoretical	Identified	Error (%)
(1)	(2)	(3)	(4)
k1	13476	13479	0.024
k4	14553	14556	0.021
k11	14553	14567	0.093
k15	13476	13489	0.094
k18	14553	14567	0.093

(b) Stage 2: Identification of whole frame

Member	Nominal/Theoretical	Identified (EI/L) values in (kN-m) for the whole frame
		15 DDOFs	18 DDOFs	21 DDOFs	24 DDOFs
		Identified	Identified	Identified	Identified	Error (%)
(1)	(2)	(3)	(4)	(5)	(6)	(7)
𝑘1	13476	11549	14249	13473	13545	0.51
𝑘2	13476	6384	15241	13244	13681	1.52
𝑘3	13476	24229	8321	13779	13497	0.16
𝑘8	13476	2930	10149	11680	13109	−2.73
𝑘9	13476	50270	15249	11170	13519	0.32
𝑘10	13476	40685	17062	16639	13458	−0.14
𝑘15	13476	12047	10015	11737	13153	−2.40
𝑘16	13476	6082	10387	10303	13705	1.70
𝑘17	13476	14577	17322	18879	13808	2.46
𝑘4	14553	27805	16037	14514	14601	0.33
𝑘5	14553	10595	15485	14410	14542	−0.08
𝑘6	14553	11857	12273	14693	14547	−0.04
𝑘7	14553	13325	24412	14333	14432	−0.83
𝑘11	14553	11798	10859	12672	14192	−2.48
𝑘12	14553	9602	10497	11716	14552	−0.01
𝑘13	14553	14115	18201	14494	14903	2.41
𝑘14	14553	22920	21218	21784	14547	−0.04
𝑘18	14553	17465	10272	12572	14375	−1.22
𝑘19	14553	10073	11568	11671	14312	−1.66
𝑘20	14553	9499	19770	13730	14351	−1.39
𝑘21	14553	28112	17496	20806	15177	4.29
𝐑𝑡𝑘	10^−4
w		1000	1000	1000	1000