The Non-Planar Nonlinear Dynamic Model of the Inclined Cable with Lumped Masses

Abstract

A nonlinear dynamic model for non-planar vibration of inclined cable with three lumped masses was developed by Hamilton principle, which considered the influence of the lumped masses, the external excitation and the inclination angle of the cable. The partial differential equations of this system were discretized to four degree of freedom ordinary differential equations by Galerkin method. The results show that there were complex model coupling between in-planar and out-planar model, first and second order model in this nonlinear dynamic system.