Damping ratio of stay cable attached with a viscous damper and a high damping rubber damper

This paper presents an analytical model for assessing the dynamic performance of a taut cable attached with a viscous damper (VD) and a high-damping rubber damper (HDRD). The cable bending stiffness, which is commonly disregarded in the literature, is considered. It is found that the bending stiffness significantly contributes to damping ratio of the cable. In addition, the damping ratio is maximum for the first mode and gradually diminishing for higher modes. Finally, the proposed model establishes the relationship between the damping ratio and damper parameters including their locations, the viscosity coefficient, the spring stiffness factor, and the material loss factor. This enables to find the optimal parameters of the dampers such that maximum value of the total damping ratio of the cable-damper system is obtained, providing a helpful tool in the cable design.