The study of stability and bifurcation of highline cable of alongside replenishment system
横向补给系统高架索的稳定性与分岔研究

A theoretical model of transverse vibration of highline cable of alongside replenishment system was established, which considers the influence of the concentrated loading. The partial differential equation was asymptotically analysed by Galerkin method and muti-scale method. The bifurcation equation of system with higher order nonlinear terms was obtained by the solvability condition of eliminating the secular terms. Local bifurcation behavior of highline cable was studied with the software Mathematica. Bifurcation models and transition sets of system were obtained. The result shows that there are many kinds of bifurcation behaviors in highline cable of alongside replenishment system.