华南理工大学学报(自然科学版) ›› 2025, Vol. 53 ›› Issue (4): 13-21.doi: 10.12141/j.issn.1000-565X.240076

• 土木建筑工程 • 上一篇    下一篇

基于随机场的大跨度悬索桥挠度可靠度评估方法

程进1,2 孙克荻1 袁义1   

  1. 1.同济大学 土木工程学院,上海 200092;

    2. 同济大学 土木工程防灾国家重点实验室,上海 200092

  • 出版日期:2025-04-25 发布日期:2024-11-08

Deflection Reliability Evaluation Method of Long-span Suspension Bridge Based on Random Field

CHENG Jin1,2  SUN Kedi YUAN Yi1   

  1. 1. College of Civil Engineering,Tongji University,Shanghai 200092,China;

    2. State Key Laboratory for Disaster Reduction in Civil Engineering,Tongji University,200092,Shanghai,China

  • Online:2025-04-25 Published:2024-11-08

摘要:

大跨度悬索桥造价高,通行量大,扮演着交通网络的关键角色。作为控制性工程,目前主要采用有限元法等确定性分析方法对其安全性进行计算和分析。但是实际工程中的结构参数具有不确定性,同时在空间上存在变异性和相关性,故引入随机场因素的影响。采用数值分析方法,结合随机场与可靠度理论,提出了基于随机场的大跨度悬索桥可靠度评估方法,介绍了方法的组成部分和实现流程,编写了对应的分析程序,通过若干算例验证了方法和程序的准确和适用性。最后以三塔四跨悬索桥——瓯江北口大桥为工程实例,在正常使用极限状态下对其挠度可靠度进行评价,分析了考虑随机场对瓯江北口大桥挠度可靠度指标的影响。结果表明:考虑随机场相比不考虑随机场计算得到的正常使用极限状态下的挠度可靠度指标偏小。说明忽略了大跨度悬索桥结构参数的空间变异性,会导致过高估计结构在正常使用极限状态下的挠度可靠度。

关键词: 桥梁工程, 悬索桥, 随机场, 一次二阶矩法, 有限元分析, 可靠度指标

Abstract: High costs and significant traffic volumes characterize long-span suspension bridges, which play a crucial role in transportation networks. As a control engineering project, deterministic analysis methods, such as the finite element method, are currently employed to calculate and analyze the safety of these bridges. However, in practical engineering, structural parameters exhibit uncertaintyand simultaneously, variability and correlation exist in spatial distribution. Hence, the influence of random field factors is incorporated. A numerical analysis method, combined with random field and reliability theory, was proposed for the reliability assessment of long-span suspension bridges. The components and implementation process of the method were introduced, and corresponding analysis programs were developed. The accuracy and applicability of the method and programs were validated through several examples. Finally, taking the three-tower four-span suspension bridge, the Oujian North Bridge, as an engineering case, the reliability of its deflection under normal operating limit states was evaluated. The impact of random fields on the deflection reliability index of the Oujian North Bridge was analyzed. Results indicate that considering random fields yields a deflection reliability index smaller than that obtained without considering them, suggesting that the spatial variability of structural parameters in long-span suspension bridges is neglected, leading to an overestimation of deflection reliability in normal service limit states.

Key words: bridge engineering, suspension bridge, random field, first-order reliability method, finite element analysis, reliability index