The Static And Dynamic Modeling Of Shallow Suspended Cable

With the rapid development of economic construction in our country, the bridge and electric power construction are at peak, more and more suspension bridge and cable stayed bridge come into being. Cable, as a part of bridge and transmission lines, moves with large amplitude frequently at present, which brings more and more damage.Recently the study made by domestic and foreign scholars about large amplitude motion of suspended cables is based on the flexible cable model without bending stiffness, in which the effect of bending stiffness on large amplitude movement of suspended cables has not been considered. In the dissertation, the two models are used to make contrastive analysis.In this paper, cable model and Euler beam model are adopted to derive differential equation of cable motion with large amplitude. Hamilton theory is also used in the paper. The condition of equivalence between the two models and the usable condition have been given in the paper by comparison of the two equations. Cable static configuration formula is obtained according to cable equation. Mode analysis results and nonlinear discrete dynamic equation of cable are obtained under special circumstances. Linear dynamic equation is obtained by linearization of nonlinear dynamic equation of beam near the place of equilibrium, and corresponding linear finite element format is established. Finally, three-span single cable example is given to reveal the solving process of methods involved in this paper and the results contrast of the two models.Results obtained indicate that the bending stiffness of low sag cable has no effect on static computation. The static configuration got from cable model and beam model is the same, but bending stiffness has some effect on linear mode, which is not obvious. Each of the two models is valid in the computation of low sag cable free vibration mode. In this dissertation, it has not been studied that how bending stiffness affects cable motion with large amplitude, and it need further study and improvement.