Advances in Civil Engineering

Research Article

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

Stiffness parameter (EI/L) identification for defect 2 using GILS-EKF-UI.

(a) Stage 1: Identification of substructure


Member	Nominal/Theoretical	Identified (EI/L) values in (kN-m) for the substructure
		k₁, k₃ reduced by		k₁₅, k₁₇ reduced by		k₁, k₁₇ reduced by
		30%, 20%, resp.		30%, 20%, resp.		30%, 20%, resp.
		Identified	Error (%)	Identified	Error (%)	Identified	Error (%)



k₁	13476	9451	−29.87	13479	0.02	9451	−29.87
k₄	14553	14578	0.17	14556	0.02	14579	0.18
k₁₁	14553	14567	0.10	14593	0.28	14566	0.09
k₁₅	13476	13489	0.10	9459	−29.81	13489	0.09
k₁₈	14553	14567	0.10	14594	0.28	14567	0.09

(b) Stage 2: Identification of whole frame


Member	Nominal/Theoretical	Identified (EI/L) values in (kN-m) for the whole frame
		k₁, k₃ reduced by		k₁₅, k₁₇ reduced by		k₁, k₁₇ reduced by
		30%, 20%, resp.		30%, 20%, resp.		30%, 20%, resp.
		24 DDOFs		24 DDOFs		24 DDOFs
		Identified	Error (%)	Identified	Error (%)	Identified	Error (%)



k₁	13476	9614		13768	2.2	9527
k₂	13476	13101	−2.8	13629	1.1	12865	−4.5
k₃	13476	11283		13403	−0.5	13209	−2.0
k₈	13476	13402	−0.6	13180	−2.2	12142	−9.9
k₉	13476	12894	−4.3	12647	−6.2	13425	−0.4
k₁₀	13476	13110	−2.7	13912	3.2	14086	4.5
k₁₅	13476	13433	−0.3	9352	− 30.6	12539	−7.0
k₁₆	13476	13427	−0.4	13519	0.3	14085	4.5
k₁₇	13476	14533	7.8	10729	− 20.4	11095
k₄	14553	14485	−0.5	15012	3.2	14752	1.4
k₅	14553	13924	−4.3	14606	0.4	14754	1.4
k₆	14553	14830	1.9	14391	−1.1	14458	−0.7
k₇	14553	15568	7.0	14034	−3.6	14056	−3.4
k₁₁	14553	14616	0.4	14667	0.8	13472	−7.4
k₁₂	14553	14583	0.2	14833	1.9	14378	−1.2
k₁₃	14553	13795	−5.2	15026	3.3	15606	7.2
k₁₄	14553	15458	6.2	14224	−2.3	14996	3.0
k₁₈	14553	14668	0.8	14887	2.3	14010	−3.7
k₁₉	14553	14109	−3.1	14601	0.3	14354	−1.4
k₂₀	14553	13443	−7.6	14608	0.4	14700	1.0
k₂₁	14553	15719	8.0	14811	1.8	14955	2.8

	10⁻⁴

w		1000		1000		10