Multivariable probabilistic seismic demand models for parametric fragility prediction of isolated bridges portfolios under pulse-like GMs

•A multivariable probabilistic seismic demand model (MV-PSDM) for friction isolation bearings is developed.•The impact of different parameters on the seismic demand, sensitivity and vulnerable range can be studied from MV-PSDM.•An efficient parametric fragility prediction method of friction isolation bearing is proposed based on the MV-PSDM.