多年冻土场地桩基桥梁地震响应不确定性量化分析

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振动与冲击 ›› 2023, Vol. 42 ›› Issue (4) : 204-211.

论文

李发达1，苏雷1，万华平2，凌贤长1

作者信息 +

Uncertainty quantification of seismic response of a pile-supported bridge in the permafrost region

LI Fada1,SU Lei1,WAN Huaping2,LING Xianzhang1

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文章历史 +

摘要

本研究采用多年冻土场地桩基桥梁数值模型和高斯过程替代模型进行多年冻土场地桩基桥梁地震响应不确定性量化分析。首先，利用实验设计方法构建多年冻土场地桩基桥梁高斯过程替代模型的训练样本，生成结构体系输入参数的最大数量采样点；针对采样点，利用建立的桩基桥梁有限元数值模型进行非线性地震响应分析，使用高斯过程替代模型模拟多年冻土场地桩基桥梁输入和输出关系，进而执行桩基桥梁的不确定性量化。基于统计变量和变异参数(coefficient of variation,COV)评估多年冻土场地桩基桥梁地震响应的不确定性。研究结果表明：(1) 桥梁结构参数随着变异参数由5%增加为30%时，桥梁结构的时程响应随之而增加，桥梁结构输入参数的变异性对多年冻土场地桩基桥梁的地震响应影响显著。(2) 随着桥梁结构体系输入参数变异性增加，相应的地震响应的变异性随之增加，桥梁结构体系输入参数变异性增加直接影响地震响应变异参数的变化。本文中所述多年冻土场地桩基桥梁地震响应不确定性量化分析可为同类构筑物的模拟提供分析方法和思路。

Abstract

In this study, uncertainty quantification of seismic response on pile-supported bridge structure in the permafrost region is carried out based on the finite element numerical model and seismic response characteristics of pile-supported bridge structure in the permafrost region. Firstly, the training samples of surrogate model for pile-supported bridge structure in the permafrost region are constructed using the experimental design method, which is used to generate maximum number of sampling points for uncertainty parameters. A Gaussian process surrogate model is used to simulate input-output relationship for physical processes of pile-supported bridge structure in the permafrost region, and then a reduced order surrogate model is used to perform uncertainty quantification. Seismic response uncertainty of pile-supported bridge structure in the permafrost region is assessed based on statistical variables and variational parameters. The study results showed that: (1) As coefficient of variation (COV) increases from 5% to 30%, time history response of bridge structure the consequent increase correspondingly. The parameter uncertainty of bridge structure has a significant effect on seismic response of pile-supported bridge structure in the permafrost region. (2) As the COV of input parameters for bridge structure are increased, the corresponding COV of seismic response is also increased. This indicated that the COV increase of input parameters for bridge structure directly affects the COV of seismic response. The uncertainty quantification analysis of pile-supported bridge structure in the permafrost region described in this study can provide analytical methods and ideas for the simulation of similar structure.

导出引用

李发达1，苏雷1，万华平2，凌贤长1. 多年冻土场地桩基桥梁地震响应不确定性量化分析[J]. 振动与冲击, 2023, 42(4): 204-211

LI Fada1,SU Lei1,WAN Huaping2,LING Xianzhang1. Uncertainty quantification of seismic response of a pile-supported bridge in the permafrost region[J]. Journal of Vibration and Shock, 2023, 42(4): 204-211

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