| Citation: | CHEN Zhiqiang, ZENG Yongping, CHEN Zhiwei, DING Zihao, ZHANG Jin. Uncertainty Quantification for Seismic Vulnerability of Bridge Based on Bootstrap Method[J]. Journal of Southwest Jiaotong University. doi: 10.3969/j.issn.0258-2724.20240630 |
To investigate the influence of ground motion uncertainty on the seismic demand and vulnerability of bridge structures and to clarify the propagation of this uncertainty in seismic vulnerability analysis, a quantitative method based on the Bootstrap method was proposed for assessing the uncertainty in the seismic vulnerability of bridges. Firstly, the relationship between the ground motion intensity index and the seismic demand of bridge structures was determined through probabilistic seismic demand analysis. Secondly, by considering the influence of ground motion sample size on the seismic demand model and vulnerability of bridge structures, the Bootstrap method was used to simulate the uncertainties in both probabilistic seismic demand model parameters and vulnerability curves. Finally, by taking a three-span simply supported beam bridge as an example, seismic vulnerability analyses were conducted using 50, 100, and 300 seismic records to quantify the variability of probabilistic seismic demand models and vulnerability under different ground motion samples. The results indicate that the seismic demand and vulnerability of bridge structures are subject to significant uncertainties under the ground motion. When 100 seismic records are used, the variability in failure probability of the bridge under various damage states exceeds 10%, and that under severe damage states reaches up to 30%. In seismic vulnerability analysis of bridges, it is advisable to represent the failure probability of bridge structures under different ground motion intensities as interval random variables to account for variability in seismic vulnerability due to seismic record samples. The Bootstrap method can effectively simulate the uncertainty in the seismic demand and vulnerability of bridge structures, providing an effective approach for statistical uncertainty simulation and seismic vulnerability analysis of probabilistic seismic demand models of bridge structures under small sample sizes.
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