Utilizing a new self-centering hysteresis model to assess the seismic vulnerability of a long-span cable-stayed bridge equipped with SMA wire-based roller bearings

Advances in Bridge Engineering

Table 5 Damage probabilities of the bridge system with or without isolation system

PGV (m/s)	Bridge system	Slight		Moderate		Extensive		Collapse
PGV (m/s)	Bridge system	P	∆	P	∆	P	∆	P	∆
2	RS	0.999	─	0.407	─	0.086	─	0.018	─
	FS	0.943	-5.6%	0.270	-33.7%	0.079	-8.1%	0.009	-50.0%
	SMA-RBS	0.845	-15.4%	0.039	-90.4%	0.011	-87.2%	0.002	-88.9%
6	RS	1.000	─	0.999	─	0.814	─	0.304	─
	FS	1.000	0.0%	0.990	-0.9%	0.710	-12.8%	0.290	-4.6%
	SMA-RBS	1.000	0.0%	0.908	-9.1%	0.288	-64.6%	0.020	-93.4%
10	RS	1.000	─	1.000	─	0.991	─	0.602	─
	FS	1.000	0.0%	1.000	0.0%	0.950	-4.1%	0.616	2.3%
	SMA-RBS	1.000	0.0%	0.999	-0.1%	0.737	-25.6%	0.053	-91.2%

Note: ∆ is the relative difference between the rigid system (RS) and two other bridge systems