“…In recent years, cable structures have been intensively studied by many researchers all over the world. Among the known solutions of them, there are harmonic balance method (Lilien and Da Costa, 1994; Takahashi and Konishi, 1987), multiple scales method (Arafat and Nayfeh, 2003) (including discretization approach and direct approach), finite element method (Grigorjeva and Kamaitis, 2015; Wang et al, 2014a), finite difference method (Koh and Rong, 2004), numerical integration method (EI Ouni and Kahla, 2012), and experimental method (Xue et al, 2011).…”