Abstract
The nonlinear vibrations of cable in a multispan cable-stayed bridge subjected to transverse excitation are investigated. The MECS (multielements cable system) model, where multielements per cable stay are used, is built up and used to analyze the model properties of the multispan cable-stayed bridges. Then, a simplified two-degrees-of-freedom (2-DOFs) model, where the tower or the deck is reduced to a beam, is proposed to analyze the nonlinear dynamic behaviors of the beam and cable. The results of MECS model analysis show that the main tower in the multispan cable-stayed bridge is prone to the transverse vibration, and the local vibration of cables only has a little impact on the frequency values of the global modes. The results of simplified model analysis show that the energy can be transformed between the modes of the beam and cable when the nature frequencies of them are very close. On the other hand, with the transverse excitation changing, the cable can exhibit richer quasi-periodic or chaotic motions due to the nonlinear terms caused by the coupled mode between the beam and cable.
Highlights
As use of multispan cable-stayed bridges increases continuously, the real local vibration features of inclined cables and coupled oscillation characteristics between the cable and the bridge is becoming a new topic in the design process
Another solution is to increase the stiffness of the central towers itself, and most multispan cable-stayed bridges adopt this way, such as the Maracaibo Bridge in Venezuela, the Millau Bridge in France, the Mezcala Bridge in Mexico, the Dong-Ting Lake Bridge, the Yi-Ling Bridge, and the Bin-Zhou Bridge in China
The frequency values of the Bin-Zhou cable-stayed bridge (BZB) influenced by the cable vibration have been investigated by two FE models in this study
Summary
As use of multispan cable-stayed bridges increases continuously, the real local vibration features of inclined cables and coupled oscillation characteristics between the cable and the bridge is becoming a new topic in the design process. One solution is to use the stabilizing cables which run from the top of the central towers to a location on the deck near the side towers, such as the Ting-Kau Bridge in Hong Kong. Another solution is to increase the stiffness of the central towers itself, and most multispan cable-stayed bridges adopt this way, such as the Maracaibo Bridge in Venezuela, the Millau Bridge in France, the Mezcala Bridge in Mexico, the Dong-Ting Lake Bridge, the Yi-Ling Bridge, and the Bin-Zhou Bridge in China. Most of the above studies focused on the stabilization of central towers, and little attention has been devoted to investigating the effects of cable vibration on the properties of tower or deck under transverse excitation
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