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Dimensionless fragility curves for rocking response to near‐fault excitations
Author(s) -
Dimitrakopoulos Elias G.,
Paraskeva Themelina S.
Publication year - 2015
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.2571
Subject(s) - fragility , dimensionless quantity , response analysis , ground motion , rotation (mathematics) , structural engineering , stiffness , bivariate analysis , mathematics , physics , geometry , mechanics , engineering , statistics , thermodynamics
Summary This paper assesses the seismic fragility of single degree of freedom rocking structures within a probabilistic framework. The focus is on slender rigid structures that exhibit negative stiffness during rocking. The analysis considers ground motions with near‐fault characteristics, either solely coherent pulses or synthetic ground motions that include, in addition, a stochastic high‐frequency component. The study offers normalized fragility curves that estimate the overturning tendency, as well as the peak response rotation of a rocking structure. It shows that the use of bivariate intensity measures ( IM s) can lead to superior fragility curves compared with conventional univariate IM s. Regardless, the study advocates the use of dimensionless–orientationless IM s that offer an approximately ‘universal’ description of rocking behavior/fragility, a normalized description almost indifferent to the amplitude and the predominant frequency of the excitation or the size and the slenderness of the rocking structure. Importantly, the analysis unveils hidden order in rocking response. There exists a critical peak ground acceleration, below and above which, peak rocking response scales differently. In particular, when the structure does not overturn, the peak rotation follows approximately a biplanar pattern with respect to the intensity and the predominant frequency of the excitation. Finally, the analysis verifies that rocking overturning depends primarily on the velocity characteristics of the ground motion. Copyright © 2015 John Wiley & Sons, Ltd.