Deflection Reliability Assessment Method of Long-Span Suspension Bridge Based on Random Field

doi:10.12141/j.issn.1000-565X.240076

Abstract

Abstract:

Long-span suspension bridges are costly to construct but play a crucial role in transportation networks due to their ability to handle high traffic volumes. As a control engineering project, the safety and reliability of long-span suspension bridges are primarily assessed using deterministic analysis methods, such as the finite element method, for calculation and analysis. However, in practical engineering, structural parameters exhibit uncertainty and simultaneously variability and correlation exist in spatial distribution. Hence, the influence of random field factors was incorporated. By adopting numerical analysis methods and integrating random field theory with reliability theory, a reliability assessment method for long-span suspension bridges based on random fields was proposed. This method primarily consists of three components: the use of the center-point method and correlation functions to handle random fields; the application of the finite element method for structural numerical analysis; and the use of the first-order second-moment method, specifically the design point method, to calculate structural reliability index. The specific implementation process of the method was introduced, and corresponding analysis programs were deve-loped. Several numerical examples were used to verify the accuracy and applicability of the method and the program. Finally, taking the three-tower four-span suspension bridge, the Wenzhou Oujiang North Bridge, as an engineering case, the reliability of its deflection under normal operating limit states was assessed considering the uncertainty of structural parameters as well as their spatial variability and correlation. The impact of random fields on the deflection reliability index of the Wenzhou Oujiang North Bridge was analyzed. Results indicate that the proposed method is suitable for the reliability assessment of long-span suspension bridges. When considering the random field, the deflection reliability index under the normal use limit state is found to be smaller compared to the calculation that ignores the random field. This indicates that neglecting the spatial variability and correlation of the structural parameters in a long-span suspension bridge leads to an overestimation of the deflection reliability under normal use limit state.

Key words: suspension bridges, random fields, first-order second-moment method, finite element analysis, reliability index

CLC Number:

U448.25

CHENG Jin, SUN Kedi, YUAN Yi. Deflection Reliability Assessment Method of Long-Span Suspension Bridge Based on Random Field[J]. Journal of South China University of Technology(Natural Science Edition), 2025, 53(4): 13-21.

Figures/Tables 11

Fig.1

Fig.2

Fig.3

Table 1

Fig.4

Fig.5

Fig.6

Table 2

Statistical parameters of random field of Wenzhou Oujiang North Bridge"

随机场	均值	变异系数	分布类型	相关长度	相关模型
$E a / G P a$	206	0.10	正态分布	0.25L	指数型
$I / m 4$	0.040 8	0.05	对数正态	0.25L	指数型
$A / m 2$	0.189 8	0.05	对数正态	0.25L	指数型
$Q / (k N · m - 1)$	46.2	0.20	正态分布	0.25L	指数型

Table 2

Table 3

Statistical characteristics of random variables of Wenzhou Oujiang North Bridge"

随机变量	均值	变异系数	分布类型
$E b 1 / G P a$	206	0.10	正态分布
$γ 1 / (k g · m - 3)$	7 850	0.05	正态分布
$E b 2 / G P a$	195	0.10	正态分布
$γ 2 / (k g · m - 3)$	7 850	0.05	正态分布

Table 3

Fig.7

Fig.8

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随机场离散单元数	可靠度		相对偏差/%
随机场离散单元数	文中提出的方法	文献［30］	相对偏差/%
2	4.516	4.524	-0.177
4	5.203	5.210	-0.134
8	5.376	5.378	-0.037
12	5.448	5.452	-0.073
16	5.479	5.484	-0.091

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