计算力学学报2025，Vol.42Issue(6)：967-973,7.DOI:10.7511/jslx20240821001
基于吊索力显式计算原理的悬索桥成桥平衡态确定高效迭代算法
Efficient iterative algorithm for determining the equilibrium state of a suspension bridge based on the principle of explicit calculation of suspension force
摘要
Abstract
This paper presents an efficient algorithm for stress-free configurations in the construction state of suspension bridges.First,a suspension bridge structure is divided into key load-bearing components such as the stiffening girder and the main cable,utilizing the principle of symmetry to segment the main cable structure over the central span.Second,based on the linear superposition principle for bending in stiffening girders,a system of linear equations is constructed for the calculation of the stiffening girder's shape using the rigidly supported continuous beam method.Subsequently,linear algebra theory is employed to solve this system of equations,allowing for an explicit calculation of the cable tensions in the construction state of the suspension bridge.Next,the main cable shape equation is established using catenary theory,facilitating the explicit resolution of the stress-free configuration for the cable segments of the main cable.According to the conditions of mechanical equilibrium,the objective function for the construction state of the suspension bridge is determined,and an iterative tangent stiffness matrix is constructed based on an elastic catenary theory.Finally,an iterative approach is used to solve the objective function for the stress-free configuration of the main cable,enabling the development of a computational method to achieve the construction balance state of the suspension bridge using a hybrid catenary theory.The results indicate that the tension in the construction cables calculated by the proposed algorithm deviates from the finite element model by no more than 20 N.Among the three algorithms,calculated horizontal and vertical cable forces at the initial point of the central span(IP point)are consistent,with differences maintained within 3.0 kN.The maximum deviation in the stress-free calculation length for the central span is 6.6 mm,while the maximum deviation in construction main cable line shape is 0.7 mm.关键词
悬索桥/成桥平衡状态/主缆找形/混合悬链线理论/吊索力显式计算Key words
suspension bridge/bridge equilibrium state/finding the shape of the main cable/mixed catenary theory/explicit calculation of suspension cable force分类
数理科学引用本文复制引用
ZHU Weihua,HUANG Lian,YAN Donghuang,HUANG Guoping..基于吊索力显式计算原理的悬索桥成桥平衡态确定高效迭代算法[J].计算力学学报,2025,42(6):967-973,7.基金项目
湖南省教育厅科学研究项目优秀青年科学项目(24B0734) （24B0734）
湖南省教育厅科学研究项目重点项目(24A0566) （24A0566）
广西民族大学科研基金(引进人才科研启动项目:2023KJQD48) （引进人才科研启动项目:2023KJQD48）
广西壮族自治区第一批青苗人才资助科研项目(301780209) （301780209）
广西青年科技人才托举工程(GXYESS2025176)资助项目. （GXYESS2025176）
