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Structural Engineering and Mechanics Volume 62, Number 1, April10 2017 , pages 85-95 DOI: https://doi.org/10.12989/sem.2017.62.1.085 |
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Form-finding analysis of suspension bridges using an explicit Iterative approach |
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Hongyou Cao, Yun-Lai Zhou, Zhijun Chen and Magd Abdel Wahab
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| Abstract | ||
| This paper presents an explicit analytical iteration method for form-finding analysis of suspension bridges. By extending the conventional analytical form-finding method predicated on the elastic catenary theory, two nonlinear governing equations are derived for calculating the accurate unstrained lengths of the entire cable systems both the main cable and the hangers. And for the gradient-based iteration method, the derivation of explicit calculation for the Jacobian matrix while solving the nonlinear governing equation enhances the computational efficiency. The results from sensitivity analysis show well performance of the explicit Jacobian matrix compared with the traditional finite difference method. According to two numerical examples of long span suspension bridges studied, the proposed method is also compared with those reported approaches or the fundamental criterions in suspension bridge structural analysis, which eventually confirms the accuracy and efficiency of the proposed approach. | ||
| Key Words | ||
| form-finding analysis; suspension bridge; analytical method; elastic catenary cable; finite element analysis | ||
| Address | ||
| Hongyou Cao, Yun-Lai Zhou: Department of Civil and Environmental Engineering, National University of Singapore, 117576, Singapore Zhijun Chen: School of Civil Engineering & Mechanics, Huazhong University of Science & Technology, Wuhan, 4300743, China Magd Abdel Wahab: Division of Computational Mechanics, Ton Duc Thang University, Ho Chi Minh City, Vietnam; Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam; Soete Laboratory, Faculty of Engineering and Architecture, Ghent University,Technologiepark Zwijnaarde 903, B-9052 Zwijnaarde, Belgium | ||