Estimation of the seismic response parameters through the extended incremental dynamic analysis

Abstract eng:
Explicit determination of seismic risk in the design process of a building or in the retrofitting process of an existing building can significantly reduce losses due to earthquakes in the future. Since determination of seismic risk is a subject of many uncertainties it is important to include these uncertainties in the process of the seismic risk estimation. Although the determination of the seismic hazard and the selection of the ground motion records probably represent the main source of uncertainty it is also important to consider that mathematical modelling of the seismic response is a subject of many modelling and physical uncertainties, which can, in addition to the aleatory uncertainty, significantly influence on the seismic response of building structures. Different methods are available for studying the influence of epistemic uncertainties on the seismic response parameters. Among others, recently the Incremental Dynamic Analysis (IDA) has been extended by introducing a set of structural models in addition to the set of ground motion records which is employed in IDA analysis in order to capture record-to-record variability. The set of structural models reflects epistemic (modeling) uncertainties, and is determined by utilizing the latin hypercube sampling (LHS) method. The effects of both aleatory and epistemic uncertainty on seismic response parameters are therefore considered in extended IDA analysis. Extension of the IDA analysis is straightforward since the only new step in the extended IDA analysis in comparison with the IDA is the determination of the set of structural models. In the paper the extended IDA is briefly summarized and applied to an example of the reinforced concrete frame. The influence of epistemic uncertainty on the seismic response parameters is presented in terms of summarized IDA curves and dispersion measures. In addition, the sensitivity of the seismic response parameters to the input random variable is discussed.

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