Effects of Modeling Uncertainties on Fragility Curves of MRFs Considering Accumulation Damage
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RESEARCH PAPER
Effects of Modeling Uncertainties on Fragility Curves of MRFs Considering Accumulation Damage Saman Yaghmaei‑Sabegh1 · Roya Mahdipour‑Moghanni1 Received: 18 April 2020 / Accepted: 1 October 2020 © Shiraz University 2020
Abstract Incorporating structural modeling uncertainties along with record-to-record variability is of great importance in seismic performance evaluation of structures. It is important to consider these uncertainties in order to accurately estimate the seismic response of structures. On the other hand, structures may be excited by successive earthquakes which can cause accumulative damage in them. Therefore, taking into account the effects of repetitive earthquakes on seismic behavior of structures should be considered as a necessary topic since the seismic design of buildings in most parts of the world is based on the main characteristics of the mainshock. In this study, Latin hypercube sampling was employed to consider the effects of modeling uncertainties in a 4-story steel moment-resisting frame. In this paper, state-dependent fragility which provides a prediction of potential damages during successive earthquakes is plotted for the considered benchmark frame with probabilistic modeling parameters. Moreover, a sensitivity analysis was carried out for different structural modeling input parameters based on the Spearman rank-order correlation. Results showed that the damping ratio has the most impact on estimations. Keywords Modeling uncertainty · Steel moment-resisting frames · Cumulative damage · Latin hypercube sampling · Statedependent fragility · Seismic sequences
1 Introduction Earthquake loss modeling is a key component in the performance-based design of structures. It is also important in disaster mitigation planning for insurance companies and decision-makers to gain useful information about structural systems conditions after an earthquake. The expected loss can be achieved more accurately by taking into account the uncertainties effects related to ground motion records and structural model parameters. Epistemic uncertainties which are stemming from lack of knowledge can be reduced when we collect better or more information. Recently, significant efforts have been made in evaluating the effects of uncertainties on the seismic performance of structures. A number of conducted studies are reviewed herein. Jalayer et al. (2010) quantified the impacts of modeling uncertainties on the seismic assessment of the existing buildings via Monte Carlo Markov Chain and showed * Saman Yaghmaei‑Sabegh [email protected] 1
Department of Civil Engineering, University of Tabriz, Tabriz, Iran
that considering uncertainties would increase the mean and standard deviation of the demand/capacity ratio in the structure. The study of Wang et al. (2017) focused on a method to investigate multidimensional fragility considering uncertainty and dependence of performance limit states. The effects of uncertainties on seismic response of structures can also be quantified by the means of app
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