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Pushover Analysis Method of Underground Structures under Reversal load and Its Application in Seismic Damage Analysis

LIU Jing-bo,WANG Wen-hui,ZHAO Dong-dong,ZHANG Xiao-bo(Tsinghua University,Beijing 100084,China)  
Although response history analysis is the most rigorous procedure to compute seismic demand,pushover analysis is more common in practice with its advantage of conceptual simplicity and computational attractiveness.A pushover analysis procedure with monotonically increasing effective earthquake forces following an invariant depth-wise distribution is introduced in the paper.Considering the reversal directions of seismic load,which is not included in the traditional pushover analysis with monotonically increasing forces in one direction,a cyclic reversal loading pattern is proposed in this paper.With the algorithm based on multiple point constraints,the implementation procedure,basic functions and special features of pushover analysis with cyclic reversal loading are introduced in detail.In the proposed procedure,the analysis model is imposed with the effective earthquake forces in the positive direction and unloaded when the target displacement is reached.Then the model is imposed with the reversed forces and unloaded when the opposite target displacement is reached.With the proposed procedure,we can estimate the structural capacity during earthquake more reasonably by considering the double direction stress of the underground structures.Subsequently,a damage model based on the pushover analysis with the cyclic reversal loading pattern is proposed by approximately viewing one cycle of reversal load as an earthquake event.With the proposed model,the complicated analysis of dynamic soil-structure system can be avoid and the damage assessment of underground structures can be conducted with the structural stiffness before and after one reversal load pushover analysis.Finally,the validity of the reversal load pushover analysis procedure and seismic damage analysis model are verified by the case study of the Chongwenmen subway station in Beijing.The research in this paper shows that the proposed pushover analysis procedure with cyclic reversal loading pattern can be effectively applied to seismic analysis and damage assessment of underground structures.
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