Performance of Vector-valued Intensity Measures for Estimating Residual Drift of Steel MRFs with Viscous Dampers

—Viscous Dampers (VDs) are widely used as passive energy dissipation system for improving seismic performance levels especially in retrofitting of buildings. Residual Inter-story Drift Ratio (R-IDR) is another important factor that specifies the condition of building after earthquake. The values of R-IDR illustrates the possibility of retrofitting and repairing of a building. Therefore, this study aims to explore the vector-valued Intensity Measures (IMs) for predicting the R-IDR of two group of steel Moment-Resisting Frames (MRFs) with and without implementing VDs. Incremental Dynamic Analysis (IDA) was performed with considering RIDR using OpenSees software. Efficiency and sufficiency have been quantified for 18 vector-valued IMs with respect to the Residual Interstory Drift Ratio (R-IDR). Results showed that two vector-valued IMs of (Sa(T 1 ), SaRatio M-D ) and (Sa(T 1 ), I M-D ) had lower σlnSa RD |IM 2 values in the R-IDR of 0.002, 0.005, 0.01, and 0.02, and they had higher FR in the mean dispersion, (σlnSaRD|IM2)avg, compared to other IMs. In addition, two vector-valued IMs of (Sa(T 1 ), SaRatio M-D ) and (Sa(T 1 ), I M-D ) achieved p-values higher than 0.05 with respect to seismic ground motion features of M, R, and Vs30, and can be used as optimal vector-valued IMs.