Retracted: Analysis of the Seismic Vulnerability of Simply-Supported Girder Bridge Under Two Level Seismic Hazard

In view of the insufficiency of seismic vulnerability study on structural performance under E1 and E2 earthquakes defined in Chinese code, a probabilistic evaluation method for structural performance under two-level earthquake is proposed and the theoretical formula of seismic risk under design earthquake is deduced. A simply-supported girder bridge is taken as an example to illustrate the method. The finite element model of the simply-supported girder bridge considering nonlinear effects, probabilistic demand seismic model of simply-supported girder bridge and seismic vulnerability equations are established. Fitting the seismic risk curve equation of the site, the damage probability of different recurrence periods is obtained. The damage probability under two-level earthquake namely E1 and E2 earthquake is calculated. Based on the Monte Carlo sampling method, the seismic vulnerability curve of the bridge is obtained and the seismic risk is also calculated. The damage probabilities of four types of simply-supported girder bridges under E1 and E2 earthquake are compared with the proposed vulnerability analysis method for simply-supported girder bridges under two-level seismic hazard. It is shown that the vulnerability analysis method of simply-supported girder bridge under two-level seismic hazard can provide a practical method for probabilistic seismic design and reinforcement of simply-supported girder bridges.