The response displacement method (RDM) is recommended by Code for seismic design of urban rail transit structures (GB 50909?2014). However

this RDM method has certain limitations in the seismic analysis of underground structure. Based on the theory of RDM

the generalized response displacement method (GRDM) is proposed for seismic analysis of underground structures with complex cross-sections in this paper. Firstly

based on the substructure analysis method

this paper theoretically proves the consistency between RDM and GRDM and also introduces the mechanics model and implementation steps of GRDM in detail. Then

in combination with an actual tunnel structure with horseshoe cross-section

the validity and accuracy of the proposed method for calculating different areas of generalized sub-structure is verified under different seismic intensities

based on the dynamic time history analysis method. The analysis results show that the proposed method is a simplified analysis method with simple operation

high precision

and strong practicability

which can be used in the seismic analysis and design of the underground structures with various complex sections.