Identifying the degree of mode localization in Cross-tied cable networks by using energy-based approach

Abstract

The use of cross-tie is one of the effective countermeasures to suppress the undesired cable vibration in the cable-stayed bridges. The major benefits offered by the cross-tie solution are the increase in the in-plane stiffness and the flow of energy toward the higher order nodes. However, the formation of closely spaced local modes is one of the major disadvantages of the Cross-tied cable networks. There are only few studies available to understand the formation of local modes. In the current study, an energy-based approach is developed to differentiate between the global and the local modes. In the proposed approach, the kinetic energy equations are formulated to compute the energy stored in arbitrary cable segments. In the current study, the advantages of the proposed energy-based approach over the existing amplitude-based approach have been discussed. The suggested approach has been applied to multiple cable networks, and a comparison has been drawn between the amplitude-based approach and the proposed energy-based approach.