Seismic Vulnerability Analysis of Masonry Structures with Uncertain Parameters Based on DOE
Given the high variability of masonry structural parameters and the strong nonlinearity of the seismic response after earthquake activity,the uncertainty of structural parameters plays a significant role in the seismic vulnerability assessment of masonry structures.This study proposes the use of a Design of Experiments(DOE)method to account for the influence of structural parameter uncertainty,with a focus on masonry structures affected by the Wenchuan earthquake.First,the Plackett-Burman method was employed to perform a sensitivity analysis of structural parameters,identifying the three parameters that most significantly affect the seismic response of masonry structures.Based on these results and the peak ground acceleration(PGA)as the seismic parameter,the DOE was conducted,leading to the development of a response surface regression model between the structural parameters and the maximum inter-story drift angle.Finally,a Monte Carlo simulation was performed to derive the seismic vulnerability curve,further assessing the impact of structural parameter uncertainty on the seismic vulnerability analysis of masonry structures.The results indicate that:(1)the elastic modulus,masonry density,and tensile strength are the three parameters with the greatest impact on the seismic vulnerability of masonry structures;(2)when the local PGA is 0.1g,the elastic modulus has the most significant influence on the seismic response compared to other parameters.At a PGA of 0.2 g,the influence order is elastic modulus,masonry density,and tensile strength,while at a PGA of 0.4 g,the order changes to elastic modulus,masonry tensile strength,and masonry density.The proposed method in this study has low computational complexity and high accuracy,offering an effective approach for addressing the numerous structural parameters and strong material nonlinearity in masonry structures.This approach provides new ideas in improving seismic vulnerability assessments for such structures.
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