WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 11, 2012
Study on the Periodic Solution and Invariant Tori for Iced Cable
Authors: ,
Abstract: In this paper, the behavior of iced cable with two degrees of freedom is investigated. With Melnikov function of the system, the sufficient condition for the existence of periodic solutions about the system is obtained. The invariant tori of the system is investigated by using transformations and average equation. The conclusion not only enriches the behavior of nonlinear dynamics about iced cable, but also provides the reference to the study of controlling the icing disaster, which is caused by large amplitude low frequency vibration of iced cable.