Mass-Stiffness Combined Perturbation Method for Mode Shape Monitoring of Bridge Structures

Table 7

MAC of MSCP method and damaged structures of the Wangyu River Bridge.

Damage scenarios	MSCP method
	Mode no.	First	Second	Third	Fourth	Fifth	Sixth
D-I	First	1.0000	0.0000	0.0007	0.0000	0.0000	0.0000
	Second	0.0000	1.0000	0.0009	0.0070	0.0025	0.0003
	Third	0.0005	0.0004	0.9998	0.1681	0.0474	0.0000
	Fourth	0.0000	0.0058	0.2128	0.9978	0.5704	0.0004
	Fifth	0.0000	0.0022	0.0381	0.6269	0.9999	0.0001
	Sixth	0.0000	0.0003	0.0000	0.0004	0.0001	1.0000
D-II	First	1.0000	0.0000	0.0006	0.0000	0.0000	0.0000
	Second	0.0000	1.0000	0.0006	0.0064	0.0023	0.0003
	Third	0.0006	0.0006	1.0000	0.2073	0.0432	0.0000
	Fourth	0.0000	0.0066	0.2035	1.0000	0.5804	0.0004
	Fifth	0.0000	0.0024	0.0425	0.5769	1.0000	0.0001
	Sixth	0.0000	0.0003	0.0000	0.0004	0.0001	1.0000
D-III	First	1.0000	0.0000	0.0006	0.0000	0.0000	0.0000
	Second	0.0000	1.0000	0.0006	0.0064	0.0023	0.0003
	Third	0.0006	0.0006	1.0000	0.2036	0.0427	0.0000
	Fourth	0.0000	0.0065	0.2020	1.0000	0.5820	0.0004
	Fifth	0.0000	0.0024	0.0432	0.5811	1.0000	0.0001
	Sixth	0.0000	0.0003	0.0000	0.0004	0.0001	1.0000
D-IV	First	1.0000	0.0000	0.0007	0.0000	0.0000	0.0000
	Second	0.0000	1.0000	0.0004	0.0065	0.0026	0.0003
	Third	0.0005	0.0008	0.9999	0.2025	0.0385	0.0000
	Fourth	0.0000	0.0065	0.1975	1.0000	0.5928	0.0004
	Fifth	0.0000	0.0021	0.0457	0.5826	0.9999	0.0001
	Sixth	0.0000	0.0003	0.0000	0.0004	0.0001	1.0000