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.
DOI: *As the DOI is a unique identifier, it is already available in the pdf version. **The DOI link will be activated in the first midst of January 2026.