Title |
Comparison Study of Elastic Catenary and Elastic Parabolic Cable Elements for Nonlinear Analysis of Cable-Supported Bridges |
Keywords |
cable element;elastic parabolic cable;elastic catenary cable;cable-supported structure;케이블요소;탄성포물선;탄성현수선;접선강도행렬;초기형상해석 |
Abstract |
This study introduces an elastic parabolic cable element for initial shaping analysis of cable-supported structures. First, an elastic catenary cable theory is shortly summarized by deriving the compatibility condition and the tangent stiffness matrices of the elastic catenary cable element. Next, the force-deformation relations and the tangent stiffness matrices of the elastic parabolic cable elements are derived and discussed under the assumption that sag configuration under self-weights is small. In addition the equivalent cable tension is defined in the chord-wise direction. Finally, to demonstrate the accuracy of the elastic parabolic cable element, nonlinear relationships of nominal cable tension-chord length and nominal cable tension-tangential stiffness for a single element are presented and compared with results using an elastic catenary cable theory as the slope is varied. |