A semi-analytical form-finding method of the 3D curved cable considering its flexural and torsional stiffnesses in suspension bridges

Tian, Gen-min; Zhang, Wen-ming

doi:10.1016/j.apm.2023.08.027

Applied Mathematical Modelling

2023

DOI: 10.1016/j.apm.2023.08.027

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A semi-analytical form-finding method of the 3D curved cable considering its flexural and torsional stiffnesses in suspension bridges

Gen-min Tian,

Wen-ming Zhang

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Cited by 3 publications

References 49 publications

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Analytical assessment of suspension bridge's 3D curved cable configuration and cable clamp pre-installation angle considering the main cable torsional and flexural stiffnesses

Tian,

Zhang,

Chen

2025

Applied Mathematical Modelling

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Analytical assessment of suspension bridge's 3D curved cable configuration and cable clamp pre-installation angle considering the main cable torsional and flexural stiffnesses

Tian,

Zhang,

Chen

2025

Applied Mathematical Modelling

View full text Add to dashboard Cite

Analytical solutions for static longitudinal displacements of suspension bridges under a moving vertical concentrated load

Jing,

Feng,

Chen

et al. 2024

Engineering Structures

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Analyzing the Form-Finding of a Large-Span Transversely Stiffened Suspended Cable System: A Method Considering Construction Processes

Chen,

Wang,

Chen

et al. 2024

WJET

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The precise control of the shape of transversely stiffened suspended cable systems is crucial. However, existing form-finding methods primarily rely on iterative calculations that treat loads as fixed known conditions. These methods are inefficient and fail to accurately control shape results. In this study, we propose a form-finding method that analyzes the load response of models under different sag and stress levels, taking into account the construction process. To analyze the system, a structural finite element model was established in ANSYS, and geometric nonlinear analysis was conducted using the Newton-Raphson method. The form-finding analysis results demonstrate that the proposed method achieves precise control of shape, with a maximum shape error ranging from 0.33% to 0.98%. Furthermore, the relationships between loads and tension forces are influenced by the deformed shape of the structures, exhibiting significant geometric nonlinear characteristics. Meanwhile, the load response analysis reveals that the stress level of the self-equilibrium state in the transversely stiffened suspended cable system is primarily governed by strength criteria, while shape is predominantly controlled by stiffness criteria. Importantly, by simulating the initial tensioning process as an initial condition, this method solves for a counterweight that satisfies the requirements and achieves a self-equilibrium state with the desired shape. The shape of the self-equilibrium state is precisely controlled by simulating the construction process.

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A semi-analytical form-finding method of the 3D curved cable considering its flexural and torsional stiffnesses in suspension bridges

Cited by 3 publications

References 49 publications

Analytical assessment of suspension bridge's 3D curved cable configuration and cable clamp pre-installation angle considering the main cable torsional and flexural stiffnesses

Analytical assessment of suspension bridge's 3D curved cable configuration and cable clamp pre-installation angle considering the main cable torsional and flexural stiffnesses

Analytical solutions for static longitudinal displacements of suspension bridges under a moving vertical concentrated load

Analyzing the Form-Finding of a Large-Span Transversely Stiffened Suspended Cable System: A Method Considering Construction Processes

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