Nonlinear analysis of cable-supported structures with a spatial catenary cable element

Tan Van Vu, Hak Eun Lee, Quoc Tinh Bui

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)583-605
Number of pages23
JournalStructural Engineering and Mechanics
Issue number5
Publication statusPublished - 2012 Sept 10


  • Cable
  • Cable pre-tension
  • Cable-stayed bridge
  • Catenary
  • Coupled flutter
  • Geometric nonlinear analysis
  • Long-span bridges
  • Multi-mode analysis
  • Nonlinear static analysis
  • State space method

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Building and Construction
  • Mechanics of Materials
  • Mechanical Engineering


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