7. Conclusions
In this study, probabilistic residual drift assessment of steel SMRFs with linear and nonlinear FVDs was conducted. For this purpose, three SMRFs and two vertical distributions of damping coefficients including Uniform Distribution (UD) and Interstory Drift Proportional Distribution determined based on the first mode deformations (IDPD) were considered. To evaluate the effect of damper nonlinearity, four values of velocity exponent, i.e., α = 0.25, 0.5, 0.75 and 1.0, were assumed. Moreover, four MRIDR levels were considered for performing IDAs. Then, the median MRIDR capacities (median SaRD) of the structures equipped with linear and nonlinear FVDs were estimated, and their corresponding fragility curves were developed. After developing fragility curves for different levels of MRIDR, by combining them with their corresponding seismic hazard curve, MAFs of exceeding different levels of MRIDR (λRD) were calculated. The conclusions of this study are summarized as follows:
• The structures equipped with linear FVDs (i.e., α = 1.0) have higher median SaRD values compared with those obtained for the corresponding structures with nonlinear FVDs (i.e., α = 0.25, 0.5 and 0.75). Moreover, among the structures with nonlinear FVDs, as the value of α increases, the median SaRD increases correspondingly. For example, according to the results for the 3-story-h1-1.4-UD structure, in the worst case, the Residual Drift Margin Ratio (RDMR) corresponding to α = 0.25 and MRIDR = 2.0% is 0.663 times that corresponding to α = 1.0.
• For each of the three structures considered, the lowest value of MAF of exceeding each MRIDR level (λRD) belongs to the structure with linear FVDs, and by decreasing the value of α, the value of λRD increases correspondingly.