implementing incremental dynamic analysis for measuring entropy-based sufficiency of an intensity measure

Seismic risk in the context of performance-based earthquake engineering can be represented in terms of the mean annual rate of exceeding a prescribed performance level. in such context, a record- and structure-specific scalar parameter or a low-dimensional vector of parameters known as the ground motion intensity measure (im) is usually adopted to playthe interface variable between seismic demand and hazard. the selection of a suitable im for representing ground motion uncertainty has been the focus of various research endeavours during the past decade. sufficiency is one of the two main properties that is widely considered for measuring the suitability of an im in representing the dominant features of groundshaking. a sufficient im, which is one that renders the estimation of demand for various intensity levels independent of all other ground motion parameters (luco & cornell, 2007), waives the requirement of careful hazard-specific groundmotionrecord selection.