6. Conclusions
Several investigations were performed, by means of nonlinear dynamic analyses, on the application of the simplified SAC-FEMA approach used in the probabilistic seismic assessment of RC structures with and without viscous dampers. The main results are summarized in the following. As expected, the median values obtained for the structure without dampers are greater than those obtained for the structure with dampers, regardless of the number of records considered. Regarding the application of the direct assessment method as an alternative to nonlinear dynamic analyses, the estimates derived from the method for the median curves of Droof are consistent with the results of the nonlinear dynamic analyses. These results show that the method is effective and can be used as a simplified alternative to nonlinear dynamic analyses for probabilistic assessment purposes. With reference to the dispersion parameter βregr, it is possible to notice several aspects. Dispersion increases with seismic intensity, it depends on the results of the nonlinear dynamic analyses and, in particular, on the number of records. The expected trend, i.e. greater dispersion for the structure without dampers than for the structure with dampers, was determined only for the higher number of records (180 records). Regarding the dispersion parameter βcost, the trend was as expected even when using a lower number of records. Additionally, βcost increases with the number of seismic events for both the structure with and without dampers. The relationships between the expressions for βcost and βregr for the structure with and without dampers were derived with the purpose of obtaining the dispersion for the structure with dampers, if that for the structure without dampers is known.