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The interstory drift ratios (IDRs) associated with the performance objectives for the underground structure are not well defined. In this paper, four levels of performance objectives are defined for shallow-buried subway station structure: operational, immediate occupancy, life safety, and collapse prevention. In order to develop IDRs corresponding to these performance objectives, 18 subway station structures were selected for this study. Pushover analyses were conducted using three-dimensional finite-element models considering two conditions of seismic loading: vertical and horizontal ground motions; and horizontal ground motion only. Shear-displacement capacity curves of the 18 subway station structures were obtained, and IDR limits were defined for each structure based on the relationship between the capacity curves and performance objective. Statistical analysis of the results demonstrated that the IDR limits considering the vertical ground motion (characterized by the same frequency with horizontal component) are smaller than that without consideration of the vertical ground motion. Based on these results, the IDR limit of 0.05%, 0.21%, 0.46%, and 0.72% is assigned for the four performance levels, respectively, for rectangular frame underground structures. The performance evaluation applied to Daikai station based on the proposed limits is found to be consistent with the actual postearthquake damage observations. The proposed limits of IDR could provide some guidance to the seismic design of underground structures, and could form the basis for developing appropriate performance limits for seismic provisions in design codes relevant to underground structures. K E Y W O R D S interstory drift ratio, performance objective, rectangular frame, underground structure, vertical ground motion 1 INTRODUCTION The performance-based seismic design (PBSD) approach intends to achieve defined performance objectives for the seismic design of the structure in a future earthquake. Federal Emergency Management Agency (FEMA) report FEMA-273, 1 FEMA-274 2 introduced the first PBSD procedure, which was aimed at seismic reinforcement of existing buildings, and

Rhombic mild-steel plate damper (also named rhombic added damping and Stiffness (RADAS)) is a newly proposed and developed bending energy dissipation damper in recent years, and its mechanical properties, seismic behavior, and engineering application still need further investigations. In order to determine the basic mechanical performance of RADAS, fundamental material properties tests of three types of mild-steel specimen including domestically developed mild-steel material with low yield strength were carried out. Then, a quasistatic loading test was performed to evaluate the mechanical performance and hysteretic energy dissipation capacity of these rhombic mild-steel dampers manufactured by aforementioned three types of steel materials. Test results show that yield strength of domestically developed low yield strength steel (LYS) is remarkably lower than that of regular mild steel and its ultimate strain is also 1/3 larger than that of regular mild steel, indicating that the low yield strength steel has a favorable plastic deformation capability. The rhombic mild-steel plate damper with low yield strength steel material possesses smaller yield force and superior hysteretic energy dissipation capacity; thus they can be used to reduce engineering structural vibration and damage during strong earthquakes.