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Mathematical Problems in Engineering
Volume 2014, Article ID 832432, 13 pages
http://dx.doi.org/10.1155/2014/832432
Research Article

Nonlinear Analysis of Cable Vibration of a Multispan Cable-Stayed Bridge under Transverse Excitation

1Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen 518055, China
2Graduate School at Shenzhen, Tsinghua University, Shenzhen 518055, China
3Department of Construction and Engineering Management, Shenyang Jianzhu University, Shenyang 110168, China

Received 30 October 2013; Revised 26 December 2013; Accepted 26 December 2013; Published 10 February 2014

Academic Editor: Hamid Reza Karimi

Copyright © 2014 Kun Lin et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.