| Title |
Non-linear Dynamic Analysis of Cable Structures using Elastic Catenary Element and Generalized- Method |
| Authors |
Han Sang-Eul ; Lee Sang-Ju |
| Keywords |
Cable Structures ; Nonlinear Dynamics Analysis ; Numerical Method ; Newmark Method ; Generalized-alpha Method |
| Abstract |
In the dynamic analysis of cable structures, geometrical non-linearity due to the flexibility of cables must be considered efficiently. In this paper, formulation of tangent stiffness matrix of elastic catenary cable is derived by using relative nodal displacements, self-weight and unstressed cable length. Free vibration analysis of simply supported cable using elastic catenary cable elements is conducted and compared with that using truss elements. The result shows that elastic catenary cable elements are more compatible than truss elements in the case of analysis of cable structures. Furthermore, the characteristic of dynamic behaviors of cable structures by temporary unstability phenomenon is confirmed. Generalized- method with numerical damping parameter is proposed to numerical analysis method, which removes temporarily unstable phenomenon problem having cable structures under external force and except divergent behavior of structures having Newmark method. |