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Analytical algorithm for determining the reasonable completion state of suspension bridges based on multi-objective parameter optimization
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Weihua ZHU1, Lian HUANG2, Guoping HUANG1, Shanbo YANG1, Lei JIANG1
Chinese Journal of Computational Mechanics | 2025, 42(5) : 877 - 882
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Chinese Journal of Computational Mechanics | 2025, 42(5): 877-882
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Analytical algorithm for determining the reasonable completion state of suspension bridges based on multi-objective parameter optimization
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Weihua ZHU1, Lian HUANG2, Guoping HUANG1, Shanbo YANG1, Lei JIANG1
Affiliations
  • 1.School of Civil Engineering, Hunan City University, Yiyang 413000, China
  • 2.School of Architecture Engineering, Guangxi Minzu Uiniversity, Nanning 530006, China
Published: 2025-10-28 doi: 10.7511/jslx20240813001
Outline
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The computation mechanism of the calculation method for the completed state of existing suspension bridges is unclear, and the target state is unreasonable. A reasonable numerical analysis algorithm is proposed for bridge formation state. The cable theory consisting of the initial end angle and horizontal cable force is validated based on the relationship between the initial end angle and cable force in the theory of catenary equations. A system of bridge state analytical equations are constructed based on the optimization principle of the target parameters of each component of the suspension bridge. The calculation equation for the main cable configuration based on the geometric closure conditions of the suspension bridge's main cable. The mechanical equilibrium equations are constructed for each component based on the mechanical equilibrium conditions of the suspension cables and stiffening beams. Based on the principle of minimizing the bending moment of the stiffening beam components and the principle of uniform cable force of the suspension cable components in the completed state of the suspension bridge, a calculation equation system for the stiffening beam and suspension cable is established. The intelligent algorithm GRG is used to optimize the numerical solution of the objective function of the completed state of a suspension bridge. A case study of a kilometer-long level suspension bridge project. The derived analytical algorithm is compared with the calculation results of the finite element model and rigid supported continuous beam algorithm. The results show that the difference between the analytical algorithm and the finite element model calculation is relatively small in terms of force of main cable, shape-finding of main cable, and the bending moment of the stiffening beam. Compared with the rigid support continuous beam algorithm, the analytical algorithm has computational advantages in ensuring the uniformity of cable forces in bridge suspension cables and the extreme bending moment of stiffening beams.

suspension bridge  /  reasonable bridge construction status  /  chain theory  /  optimization principle  /  analysis algorithm
Weihua ZHU, Lian HUANG, Guoping HUANG, Shanbo YANG, Lei JIANG. Analytical algorithm for determining the reasonable completion state of suspension bridges based on multi-objective parameter optimization[J]. Chinese Journal of Computational Mechanics, 2025 , 42 (5) : 877 -882 . DOI: 10.7511/jslx20240813001
Year 2025 volume 42 Issue 5
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Article Info
doi: 10.7511/jslx20240813001
  • Receive Date:2024-08-13
  • Online Date:2026-03-24
  • Published:2025-10-28
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History
  • Received:2024-08-13
  • Revised:2024-12-10
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    1.School of Civil Engineering, Hunan City University, Yiyang 413000, China
    2.School of Architecture Engineering, Guangxi Minzu Uiniversity, Nanning 530006, China
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表12种不同金属材料的力学参数

Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
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Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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