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 an<br />extensible suspended cable supported at the same level. The model formulation developed in this study is<br />based on the virtual work-energy functional of cables which involves strain energy due to axial stretching<br />and work done by external forces. The difference in the Euler equations between equilibrium and motion<br />states is considered. The resulting equations govern the horizontal and vertical motion of the cables, and<br />are coupled and highly nonlinear. The solution for the nonlinear static equilibrium configuration is<br />determined by the shooting method while the solution for the large amplitude free vibration is obtained by<br />using the second-order central finite difference scheme with time integration. Numerical examples are<br />given to demonstrate the vibration behaviour of extensible suspended cables.