Parametric study on collapse margin ratio of structure

Abstract

The determination of collapse margin ratio (CMR) of structure is influenced by many uncertain factors. Some factors that can affect the calculation of CMR, e.g., the elongation of the structural fundamental period prior to collapse, the determination of earthquake intensity measure, the seismic hazard probability, and the difference of the spectral shapes between the median spectrum of the ground motions and the design spectrum, were discussed. Considering the elongation of the structural fundamental period, the intensity measure S_a(T₁) should be replaced with S_a* in the calculation of CMR for short-period and medium-period structures. The reasonable intensity measure should be determined by the correlation analysis between the earthquake intensity measure and the damage index of the structure. Otherwise, CMR should be adjusted according to the seismic hazard probability and the difference in the spectral shapes. For important long-period structures, CMR should be determined by the special site spectrum. The results indicate that both S_a(T₁) and spectrum intensity (SI) could be used as intensity measures in the calculation of CMR for medium-period structures, but SI would be a better choice for long-period structures. Moreover, an adjusted CMR that reflects the actual seismic collapse safety of structures is provided.

Keywords

collapse margin ratio / strong ground motion / intensity measurement / probability of exceedance / Housner’s spectrum intensity / spectrum acceleration

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