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Free vibrations of a two-cable network inter-supported by cross-links extended to ground

  • Zhou, H.J. (Institute of Urban Smart Transportation & Safety Maintenance, Shenzhen University) ;
  • Wu, Y.H. (Institute of Urban Smart Transportation & Safety Maintenance, Shenzhen University) ;
  • Li, L.X. (Guangdong Provincial Key Laboratory of Durability for Marine Civil Engineering, Shenzhen University) ;
  • Sun, L.M. (State Key Laboratory for Disaster Reduction in Civil Engineering, Tongji University) ;
  • Xing, F. (Guangdong Provincial Key Laboratory of Durability for Marine Civil Engineering, Shenzhen University)
  • Received : 2016.07.02
  • Accepted : 2019.01.25
  • Published : 2019.06.25

Abstract

Using cross-ties to connect cables together when forming a cable network is regarded as an efficient method of mitigating cable vibrations. Cross-ties have been extended and fixed on bridge decks or towers in some engineering applications. However, the dynamics of this kind of system need to be further studied, and the effects of extending cross-links to bridge decks/towers on the modal response of the system should be assessed in detail. In this paper, a system of two cables connected by an inter-supported cross-link with another lower cross-link extended to the ground is proposed and analyzed. The characteristic equation of the system is derived, and some limiting solutions in closed form of the system are derived. Roots of cable system with special configurations are also discussed, attention being given to the case when the two cables are identical. A predictable mode behavior was found when the stiffness of inter-connection cross-link and the cross-link extended to the ground were the same. The vector of mode energy distribution and the degree of mode localization index are proposed so as to distinguish global and local modes. The change of mode behaviors is further discussed in the case when the two cables are not identical. Effects of cross-link stiffness, cross-link location, mass-tension ratio, cable length ratio and frequency ratio on $1^{st}$ mode frequency and mode shape are addressed.

Acknowledgement

Supported by : National Natural Science Foundation of China, Ministry of Science and Technology

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