Nonlinear Regression Based Health Monitoring of Hysteretic Structures under Seismic Excitation

Table 5

Statistical summary of estimated system parameters for 100 Monte-Carlo runs (threshold = 0.11 m).

	Preyielding stiffness (KN/m)	Viscous damping (KNs/m)	Bilinear factor	Yield deformation (mm)
Actual model	27300	521	0.065	46.5
Noise-free
Mean	27335	482	0.062	47.0
Coefficient of variation	0.0000	0.0000	0.0000	0.0000
Mean error	0.1%	7.5%	4.6%	1.1%
3% RMS white noise
Mean	27335	481	0.062	47.1
Coefficient of variation	0.0000	0.0124	0.0212	0.002
Mean error	0.1%	7.7%	4.6%	1.3%
5% RMS white noise
Mean	27336	482	0.064	47.2
Coefficient of variation	0.0018	0.0210	0.0345	0.0035
Mean error	0.1%	7.5%	1.5%	1.5%
10% RMS white noise
Mean	27237	474	0.071	47.3
Coefficient of variation	0.0082	0.0625	0.0706	0.0080
Mean error	0.2%	9.0%	9.2%	1.7%
20% RMS white noise
Mean	26825	440	0.092	46.9
Coefficient of variation	0.0142	0.1293	0.0855	0.0130
Mean error	1.7%	15.5%	41.5%	0.9%