|Table of Contents|

Analytical algorithm and mechanical characteristics of girder-end longitudinal displacement for long-span suspension bridges under temperature effects(PDF)

长安大学学报（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

Issue:
2025年03期
Page:
102-114
Research Field:
桥梁与隧道工程
Publishing date:

Info

Title:
Analytical algorithm and mechanical characteristics of girder-end longitudinal displacement for long-span suspension bridges under temperature effects
Author(s):
ZHU Wei-hua1; 2; 3;  LIU Guo-kun4;  HUANG Guo-ping1;  ZHOU Shu-ming1;  ZHOU Wei5
Keywords:
bridge engineering;  temperature-induced girder-end longitudinal displacement;  linear superposition principle;  numerical analytical algorithm;  geometric nonlinearity effect;  main cable shape-finding
PACS:
U448.25
DOI:
10.19721/j.cnki.1671-8879.2025.03.009
Abstract:
To investigate the operational performance of ancillary restraint devices(including expansion joints, bearings, and dampers)affected by girder-end longitudinal displacement for suspension bridges, a mechanical model under the temperature effect characterizing girder-end longitudinal displacement behavior for single-span ground-anchored suspension bridges was constructed, andthe computational mechanism underlying girder-end displacement was explicitly elucidated. Firstly, the computational principle of mechanical modeling for suspension bridges under temperature effect was analytically deconstructed. Secondly, the equations for calculating the configuration of cable element under the temperature effect were derived within the Lagrangian coordinate system. Thirdly, a nonlinear equation system for main cable shape-finding under the temperature effect was established through mechanical equilibrium analysis and geometric closure constraints. Fourthly, it was demonstrated that the mechanical model of the stiffened girder under thermal effects adheres to the linear superposition principle. The longitudinal displacement characteristics of the suspension points on the stiffened girder was elucidated and a coupled mechanical model system governing the interaction between hangers and the stiffening girder was established. Finally, a numerical analytical algorithm of girder-end longitudinal displacement under theperature effect was developed by calculating the equations of each system of the suspension bridge in parallel. Taking a kilometer-level suspension bridge as the engineering research context, this study conducts a comparative analysis of the constructed analytical algorithm, finite element model, and the girder-end longitudinal displacement monitoring data of an actual bridge. The results show that the mechanical model of long-span suspension bridges can adopt the separate calculation method of each system. The cable system conforms to the geometric nonlinear effect, and the systems such as stiffening girder, hangers and cable towers all satisfy the principle of linear superposition. The calculation difference rate among the girder-end longitudinal displacements calculated by the analytical algorithm and finite element model and the actural monitoring result is controlled within 9.4%. The girder-end longitudinal displacement and the temperature variation amplitude satisfy a quasi-linear relationship, and the slope of the finite element linear fitting function is the largest, while the analytical algorithm is the smallest. The calculation difference between the two mehods is caused by the deflection deformation of the stiffening girder. The derived calculation theory of refined cable element and the calculation method of girder-end longitudinal displacement can be used as reliable theory and method for the calculation of cable configuration in long-span suspension bridges.2 tabs, 13 figs, 26 refs.

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Last Update: 2025-05-30