Abstract
Problem statement: Accounting for uncertainties that were present in geometric and material data of reinforced concrete buildings was performed in this study within the context of performance based seismic engineering design. Approach: Reliability of the expected performance state is assessed by using various methodologies based on finite element nonlinear static pushover analysis and specialized reliability software package. Reliability approaches that were considered included full coupling with an external finite element code and surface response based methods in conjunction with either first order reliability method or importance sampling method. Various types of probability distribution functions that model parameters uncertainties were introduced. Results: The probability of failure according to the used reliability analysis method and to the selected distribution of probabilities was obtained. Convergence analysis of the importance sampling method was performed. The required duration of analysis as function of the used reliability method was evaluated. Conclusion/Recommendations: It was found that reliability results are sensitive to the used reliability analysis method and to the selected distribution of probabilities. Durations of analysis for coupling methods were found to be higher than those associated to surface response based methods; one should however include time needed to derive these lasts. For the reinforced concrete building considered in this study, it was found that significant variations exist between all the considered reliability methodologies. The full coupled importance sampling method is recommended, but the first order reliability method applied on a surface response model can be used with good accuracy. Finally, the distributions of probabilities should be carefully identified since giving the mean and the standard deviation were found to be insufficient.
Highlights
Field, one finds the huge need for diagnosis and rehabilitation of pre-code constructions, in the Realistic modeling based on reliability analysis of structural behavior of buildings at risk of earthquake events is the subject of increasing interest from the community of seismic building designers (Arulselvan and Subramanian, 2008; Buratti et al, 2010; Celik and Ellingwood, 2010; Ebrahimi et al, 2010)
First Order Reliability Method (FORM) and Importance Sampling Method (ISM) reliability methods applied to a response surface model of the building: The response surface writes as g(fc′,cc,fc′,uc,E) = 24 −δroof where is the interpolated displacement over the domain of variables
The two approximate methods Response Surface based Method (RSM)/FORM and RSM/ISM are considered in the following in order to assess their accuracy
Summary
Field, one finds the huge need for diagnosis and rehabilitation of pre-code constructions, in the Realistic modeling based on reliability analysis of structural behavior of buildings at risk of earthquake events is the subject of increasing interest from the community of seismic building designers (Arulselvan and Subramanian, 2008; Buratti et al, 2010; Celik and Ellingwood, 2010; Ebrahimi et al, 2010). & Applied Sci., 4 (3): 332-340, 2011 elaborated to ensure essentially a priori life safety of to be high computational time consuming for practical buildings occupants, this new approach includes additional critical states that could be important for buildings use. These performance states are associated to indicators such as the tolerable amount of damage or the accepted economic loss resulting from temporarily loss of functionality. Adequate numerical modeling of the building structural behavior and satisfactory description of uncertainty propagation are required This is generally performed within the framework of reliability analysis.
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