Effect of axial stretching on large anplitude free vibration of a suspended cable

This paper presents the effect of axial stretching on large amplitude free vibration of anextensible suspended cable supported at the same level. The model formulation developed in this study isbased on the virtual work-energy functional of cables which involves strain energy due to axial stretchingand work done by external forces. The difference in the Euler equations between equilibrium and motionstates is considered. The resulting equations govern the horizontal and vertical motion of the cables, andare coupled and highly nonlinear. The solution for the nonlinear static equilibrium configuration isdetermined by the shooting method while the solution for the large amplitude free vibration is obtained byusing the second-order central finite difference scheme with time integration. Numerical examples aregiven to demonstrate the vibration behaviour of extensible suspended cables.