A non-linear model for the dynamics of an inclined cable

Alain Berlioz (1) , Claude-Henri Lamarque (2)

1 LDMS - Laboratoire de Dynamique des Machines et des Structures
2 DGCB - Département Génie Civil et Bâtiment

This article is devoted to the theoretical and experimental investigations of an inclined cable subjected to the boundary motion condition. A model is presented for predicting non-linear behaviour. The analysis of basic phenomena is performed using the multiple scales method. The cable is modelled with one or two degrees of freedom for in-plane displacement. Models with one or two degrees of freedom are used for out-of-plane displacements. Experiments are carried out on the mechanical model and served to identify parameters and validate the one-degree of freedom model for in-plane displacements. Numerical and experimental results are in good agreement.

Domaines: Vibrations [physics.class-ph]; Vibrations [physics.class-ph]

Alain Berlioz, Claude-Henri Lamarque. A non-linear model for the dynamics of an inclined cable. Journal of Sound and Vibration, 2005, 279 (3-5), pp.619-639. ⟨10.1016/j.jsv.2003.11.069⟩. ⟨hal-00814576⟩