On boundary damping to reduce the rain–wind oscillations of an inclined cable with small bending stiffness

Tugce Akkaya, Wim T. van Horssen

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1 Citation (Scopus)
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Abstract

In this paper, a model will be derived to describe the rain–wind-induced oscillations of an inclined cable. Water rivulets running along the cable and aerodynamics forces acting on the cable are taken into account to describe these oscillations. A boundary damper is assumed to be present near the lower endpoint of the cable. For a linearly formulated initial-boundary value problem for a tensioned beam equation describing the in-plane transversal oscillations of the cable, the effectiveness of this damper is determined by using a two-timescales perturbation method. It is shown how mode interactions play an important role in the dynamic behaviour of the cable system. Some resonant and non-resonant cases have been studied in detail.
Original languageEnglish
Pages (from-to)783–808
Number of pages26
JournalNonlinear Dynamics
Volume95 (2019)
Issue number1
DOIs
Publication statusE-pub ahead of print - 2018

Keywords

  • Rain–wind-induced vibrations of an inclined cable
  • Tensioned Euler–Bernoulli beam
  • Time-varying mass

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