Abstract
Aftershocks often occur after strong earthquakes and aggravate structural damage. Commonly, the incremental dynamic analysis (IDA) considering the main aftershocks only used a single index such as the maximum or the residual inter-story drift ratio. However, results of IDA using different indices may suggest that a structure has collapsed but is still repairable, which is not realistic. Given these shortcomings, this paper proposes selecting two indices in the IDA method based on the correlation between the maximum and the residual inter-story drift ratio, considering the main aftershocks. The influence of the double-indices model on the structural vulnerability analysis was discussed by establishing a commercial building in SAP2000 software, and single-index and double-index IDA were carried out, respectively. The joint distribution probability of the two indices under fixed seismic intensity was also calculated. The difference between the single-index and double-index IDA results was compared considering both the main shock and the main aftershock. The results showed that the effect of aftershocks would improve the correlation coefficient between the maximum and the residual inter-story drift ratio, and the building model has a higher probability of overrun after considering the correlation of the two indices. This paper provides a new method for IDA and vulnerability analysis using multiple indices.
Highlights
Historical data show that aftershocks often occur after an earthquake [1], and prominent examples include the Tangshan Earthquake in 1976 [2], the Northridge Earthquake in 1994 [3], the Wenchuan Earthquake in 2008 [4], the Tohoku Earthquake [5] in 2011, and the Christchurch Earthquake in 2011 [6]
The results show that when the ground motion intensity increases, the part of maximum inter-story drift ratio and residual inter-story drift ratio simultaneously exceeding the limit will have a greater impact on vulnerability analysis, and the aftershocks will increase this effect
The maximum and the residual inter-story drift ratios were selected as two Damage Measure (DM) to conduct the incremental dynamic analysis (IDA) based on the correlation of two indices for a steel frame
Summary
Historical data show that aftershocks often occur after an earthquake [1], and prominent examples include the Tangshan Earthquake in 1976 [2], the Northridge Earthquake in 1994 [3], the Wenchuan Earthquake in 2008 [4], the Tohoku Earthquake [5] in 2011, and the Christchurch Earthquake in 2011 [6]. In order to explore the overall deformation and collapse resistance of the structure under the action of main aftershocks, previous research studies considered the maximum inter-story drift ratio as the main index to define the limit state of the structure [30,31,32,33], and analyzed the vulnerability of wooden structures, concrete structures, and steel frame structures with masonry filling under main aftershocks. In order to explore the recovery performance of the two types of structures, the residual inter-story drift ratio was selected as the index to carry out the IDA of the frame damaged by the aftershock. Xu et al [38] selected the maximum inter-story drift ratio and Park-Ang damage index to analyze the vulnerability of a concrete frame structure under main aftershock based on the. Numerical analyses are illustrated to verify effectiveness and feasibility of the new method, which supplies beneficial reference to IDA and vulnerability analysis
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