Structural Engineering and Mechanics

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

  • Chucheepsakul, Somchai (Department of Civil Engineering, King Mongkut's University of Technology Thonburi) ;
  • Wongsa, Sanit (Department of Civil Technology Education, King Mongkut's University of Technology Thonburi)
  • Published : 2001.02.25
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Abstract

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

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References

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Cited by

  1. Nonlinear vibrations of suspended cables—Part I: Modeling and analysis vol.57, pp.6, 2004, https://doi.org/10.1115/1.1777224
  2. Three-dimensional non-linear coupling and dynamic tension in the large-amplitude free vibrations of arbitrarily sagged cables vol.269, pp.3-5, 2004, https://doi.org/10.1016/S0022-460X(03)00137-8