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Structural Engineering and Mechanics Volume 43, Number 5, September10 2012 , pages 583-605 DOI: https://doi.org/10.12989/sem.2012.43.5.583 |
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Nonlinear analysis of cable-supported structures with a spatial catenary cable element |
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Tan-Van Vu, Hak-Eun Lee and Quoc-Tinh Bui
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| Abstract | ||
| This paper presents a spatial catenary cable element for the nonlinear analysis of cablesupported structures. An incremental-iterative solution based on the Newton-Raphson method is adopted for solving the equilibrium equation. As a result, the element stiffness matrix and nodal forces are determined, wherein the effect of self-weight and pretension are taken into account. In the case of the initial cable tension is given, an algorithm for form-finding of cable-supported structures is proposed to determine precisely the unstressed length of the cables. Several classical numerical examples are solved and compared with the other available numerical methods or experiment tests showing the accuracy and efficiency of the present elements. | ||
| Key Words | ||
| cable; cable-stayed bridge; catenary; geometric nonlinear analysis; nonlinear static analysis; cable pre-tension; long-span bridges; coupled flutter; multi-mode analysis; state space method | ||
| Address | ||
| Tan-Van Vu: Faculty of Civil Engineering, Ho Chi Minh City University of Architecture, Vietnam Hak-Eun Lee: Civil, Environmental & Architectural Engineering, Korea University, 5-1, Anam-dong, Sungbuk-go, Seoul 136-701, Korea Quoc-Tinh Bui: Department of Civil Engineering, University of Siegen, Germany | ||