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Parametric model for capacity curves
Pujades Beneit, Lluís; Vargas Alzate, Yeudy Felipe; Barbat Barbat, Horia Alejandro; González Drigo, José Ramón
Universitat Politècnica de Catalunya. Departament d'Enginyeria del Terreny, Cartogràfica i Geofísica; Universitat Politècnica de Catalunya. Departament de Resistència dels Materials i Estructures en Enginyeria; Universitat Politècnica de Catalunya. GIES - Geofísica i Enginyeria Sísmica; Universitat Politècnica de Catalunya. RMEE - Grup de Resistència de Materials i Estructures a l'Enginyeria
A parametric model for capacity curves and capacity spectra is proposed. The capacity curve is considered to be composed of a linear part and a nonlinear part. The normalized nonlinear part is modelled bymeans of a cumulative lognormal function. Instead, the cumulative Beta function can be used. Moreover, this new conceptualization of the capacity curves allows defining stiffness and energy functions relative to the total energy loss and stiffness degradation at the ultimate capacity point. Based on these functions, a new damage index is proposed and it is shown that this index, obtained from nonlinear static analysis, is compatible with the Park and Ang index obtained from dynamic analysis. This capacity based damage index allows setting up a fragility model. Specific reinforced concrete buildings are used to illustrate the adequacy of the capacity, damage and fragility models. The usefulness of the models here proposed is highlighted showing how the parametric model is representative for a family of capacity curves having the same normalized nonlinear part and how important variables can be tabulated as empirical functions of the two main parameters defining the capacity model. The availability of this new mathematical model may be a powerful tool for current earthquake engineering research, especially in seismic risk assessments at regional scale and in probabilistic approaches where massive computations are needed.
Peer Reviewed
Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures
Buildings, Reinforced concrete--Earthquake effects
Capacity curves
Parametric model
Stiffness degradation
Energy loss
Fragility curves
Damage assessment
REINFORCED-CONCRETE BUILDINGS
SPECTRUM METHOD
SEISMIC DAMAGE
VULNERABILITY
BARCELONA
FRAGILITY
BRIDGES
Construcció en formigó armat -- Enginyeria sísmica
info:eu-repo/semantics/submittedVersion
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