عنوان مقاله [English]
The uncertainty inherited in the behavior of a structure could cause significant differences between the results of the analytical model and the actual behavior of the structure. The probabilistic characteristics of the material, errors in the construction, and the uncertainty of the seismic loads could account for major causes of discrepancy between analytical results and the actual response of the structure. In this regard, inevitable uncertainties in the behavior of the system should be recognized and the probability of the failure of the structure should be calculated for the desired level of performance. The availability of sophisticated computational tools provides the engineering society with the opportunity of estimating the performance of structures by computing the probability of occurrence for a specific state in the structure. Simulation techniques, such as Monte Carlo simulation, are efficient and promising computational methods in the context of reliability analyses to obtain the required knowledge about the probabilistic behavior of structural systems. In this paper, the effect of the tuned mass damper (TMD) on the performance of steel moment-resisting frames has been studied using the Monte Carlo simulation technique. The failure probability for the stories of the structure has been calculated, based on the relative displacement of each story. The capacity and stiffness of the structural elements have been modeled through the probabilistic fiber-discretized sections for each element. Also, the probabilistic effect of seismic loading has been taken into account, by generating records with fully stochastic characteristics in the time and frequency domain. The uncertainty in the damping characteristics and seismic mass of the structure is also considered. The results indicate that for far-field earthquakes with low mean period, TMD could reduce the failure probability of the structure, with different effects on each story. The maximum density of relative displacement has been shifted towards small values, mainly for higher stories, by using the TMD on the roof story of the structure.