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<p>To overcome the limitations of conventional methods in determining suspension bridge equilibrium states, particularly computational complexity and suboptimal hanger forces distribution, this study proposes a novel Explicit Iterative Algorithm Method (EIAM) for rational determination of hanger forces. This method involves the following key steps: (1) development of influence coefficients through bending moment differential equations for analyzing the stiffening girder configuration; (2) establishment of a cable profile-bending moment analogy of a simply supported beam to derive suspension point configurations under a unit concentrated load; (3) formulation of a composite calculation matrix for the completed bridge cable force, which linearly superimposes the influence coefficients for the stiffening girder configuration and those corresponding to concentrated loads on the main cable; and (4) through linear algebraic solutions and iterative tangent stiffness matrix optimization based on elastic catenary theory, the method achieves precise equilibrium state determination. Finally, a case study of a kilometer-scale suspension bridge compared EIAM with the finite element method (FEM) and the rigidly supported continuous beam method (SCBM). The results show that EIAM offers higher accuracy and reliability, aligning closely with FEM, providing more uniform hanger forces than SCBM, ensuring precise main cable alignment at mid-span, and reducing variations in the tower region due to hanger force differences. Overall, EIAM offers better reliability, uniform hanger forces, control in the tower regions, and consistent cable alignment, highlighting its value in optimizing suspension bridge design while balancing efficiency and safety.</p>

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An Algebraic Iterative Algorithm for Determining the Equilibrium State of the Completed Suspension Bridge Based on Explicit Calculation of Reasonable Hanger Forces

  • 期刊论文

  • 发表日期：

    2025年12月29日

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  • Weihua Zhu,
  • Lian Huang,
  • Zhuangpeng Yi,
  • Donghuang Yan,
  • Guoping Huang

摘要

To overcome the limitations of conventional methods in determining suspension bridge equilibrium states, particularly computational complexity and suboptimal hanger forces distribution, this study proposes a novel Explicit Iterative Algorithm Method (EIAM) for rational determination of hanger forces. This method involves the following key steps: (1) development of influence coefficients through bending moment differential equations for analyzing the stiffening girder configuration; (2) establishment of a cable profile-bending moment analogy of a simply supported beam to derive suspension point configurations under a unit concentrated load; (3) formulation of a composite calculation matrix for the completed bridge cable force, which linearly superimposes the influence coefficients for the stiffening girder configuration and those corresponding to concentrated loads on the main cable; and (4) through linear algebraic solutions and iterative tangent stiffness matrix optimization based on elastic catenary theory, the method achieves precise equilibrium state determination. Finally, a case study of a kilometer-scale suspension bridge compared EIAM with the finite element method (FEM) and the rigidly supported continuous beam method (SCBM). The results show that EIAM offers higher accuracy and reliability, aligning closely with FEM, providing more uniform hanger forces than SCBM, ensuring precise main cable alignment at mid-span, and reducing variations in the tower region due to hanger force differences. Overall, EIAM offers better reliability, uniform hanger forces, control in the tower regions, and consistent cable alignment, highlighting its value in optimizing suspension bridge design while balancing efficiency and safety.