In this study, the reliability assessment of the system of structure-MR damper in controlling seismic responses of the structure via semi-active control is studied. In this regard, numerical results are presented for two different examples including three and ten-storey shear structures. The limit state functions are defined based on the control responses obtained from the use of MR dampers in the structure stories. By defining several uncertainties in parameters of the structure-MR damper system, probability of failure of structure is obtained using weighted uniform simulation (WUS) method and compared with the results of traditional Monte Carlo Simulation (MCS). Moreover, the most probable point of failure, which cannot be calculated by MCS, is determined for each uncertain event. Graphs of system reliability are derived and interpreted. The results show satisfactory performance of the WUS method in the reliability analysis of smart structures. The results also indicate that reliability of the system is highly dependent on the mass uncertainty of the structure. Moreover, the highest probability of failure takes place when all parameters are considered to be simultaneously uncertain.

本研究研究了结构-MR阻尼器系统通过半主动控制控制结构地震响应的可靠性评估。在这方面，给出了两个不同示例的数值结果，包括三层和十层剪切结构。基于在结构层中使用MR阻尼器获得的控制响应来定义极限状态函数。通过定义结构-MR阻尼器系统参数的几个不确定性，可以使用加权均匀模拟（WUS）方法获得结构的失效概率，并将其与传统的蒙特卡洛模拟（MCS）的结果进行比较。此外，对于每个不确定事件，都确定了MCS无法计算的最可能的故障点。推导并解释了系统可靠性图。结果表明，WUS方法在智能结构的可靠性分析中具有令人满意的性能。结果还表明，系统的可靠性高度依赖于结构的质量不确定性。此外，当认为所有参数同时不确定时，发生故障的可能性最高。