On the influence of background component in resonance of cables

This work deals with nonlinear dynamical behaviour of cables in the context of random excitations of
one of its anchors. Different studies have already been realized, that highlight different cable responses
under random excitations such as white noise or narrow band processes. This work can be seen as an
extension of these former works. It aims at modeling a more realistic random excitation by associating
a background component to a resonant excitation. The background component models the effects of
turbulence on the structure and the resonant component results from structural vibrations of the primary
system. Any direct excitation on the cable is disregarded in this work.
The first part of this paper describes the model and the random excitation generators. The second part
deals with the influence of the background component on the possible resonance of a cable. Results
are presented for a given level of energy in the excitation, and as a function of its dispatching between
the background and resonant components. This work shows that the background component reduces
the vibration in the out-of-plane mode and can avoid resonance from taking place. The on-off intermittency
phenomenon is also observed for the out-of-plane mode and it depends also on the background
component.