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Smart Structures and Systems Volume 23, Number 6, June 2019 , pages 669-682 DOI: https://doi.org/10.12989/sss.2019.23.6.669 |
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Damping and frequency of twin-cables with a cross-link and a viscous damper |
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H.J. Zhou, X. Yang, Y.R. Peng, R. Zhou, L.M. Sun and F. Xing
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| Abstract | ||
| Vibration mitigation of cables or hangers is one of the crucial problems for cable supported bridges. Previous research focused on the behaviors of cable with dampers or crossties, which could help engineering community apply these mitigation devices more efficiently. However, less studies are available for hybrid applied cross-ties and dampers, especially lack of both analytical and experimental verifications. This paper studied damping and frequency of two parallel identical cables with a connection cross-tie and an attached damper. The characteristic equation of system was derived based on transfer matrix method. The complex characteristic equation was numerically solved to find the solutions. Effects of non-dimensional spring stiffness and location on the maximum cable damping, the corresponding optimum damper constant and the corresponding frequency of lower vibration mode were further addressed. System with twin small-scale cables with a cross-link and a viscous damper were tested. The damping and frequency from the test were very close to the analytical ones. The two branches of solutions: in-phase modes and the out-of-phase modes, were identified; and the two branches of solutions were different for damping and frequency behaviors. | ||
| Key Words | ||
| cable; cross-link; damper; damping; frequency | ||
| Address | ||
| H.J. Zhou: Institute of Urban Smart Transportation & Safety Maintenance, Shenzhen University, Nanhai Ave 3688, Shenzhen 518060, China; Guangdong Provincial Key Laboratory of Durability for Marine Civil Engineering, Shenzhen University, Nanhai Road 3688, Shenzhen, Guangdong 518060, P.R. China X. Yang, Y.R. Peng and R. Zhou: Institute of Urban Smart Transportation & Safety Maintenance, Shenzhen University, Nanhai Ave 3688, Shenzhen 518060, China F. Xing: Guangdong Provincial Key Laboratory of Durability for Marine Civil Engineering, Shenzhen University, Nanhai Road 3688, Shenzhen, Guangdong 518060, P.R. China L.M. Sun: State Key Laboratory for Disaster Reduction in Civil Engineering, Tongji University, Siping Road 1239, Shanghai 200092, P.R. China | ||