Intensity measures, fragility analysis and dimensionality reduction of rocking under far?field ground motions

Problems for which it is impossible to make a precise causal prediction are commonly tackled with statistical analysis. Although fairly simple, the problem of rocking block on rigid base subjected seismic excitation exhibits fascinating, complex response, making extremely difficult validate numerical models against experimental results, thus calling approach. In this context, paper statistically studies behaviour blocks, excited by synthetic far-field ground motions. A total 50 million analyses performed, considering blocks height ranging from 1 20 m and slenderness angle 0.1 0.35 rad. The results used explore performance different motion intensity measures (IMs), in terms their ability predict maximum rotation. By comparing efficiency, sufficiency proficiency IMs, found that peak velocity (PGV) performs optimally. Then, fragility curves constructed using concluding again PGV most efficient IM. Impressively, sizes collapse single curve, if non-dimensional IM involves geometry used. Finally, produced basis motions compared based recorded