Abstract
A numerical solution based on the Steffensen stable point iterative method is proposed to resolve the transcendental frequency equation of a stay cable-damper system. The frequency equation, which considers clamped supports and flexural rigidity of the cable, is intended to investigate the influence of the parameters of the cable damper system on its dynamic characteristics. Two factors involved in the design and construction phases, the damping coefficient induced by external dampers and the cable tension, are the focus of this study. Their impact on modal frequencies and damping ratios in these two phases of cable-damper systems are investigated by resolving the equation with the proposed solution. It is shown that the damping coefficient and cable tension exert more noticeable effects on the modal damping ratios than on the modal frequencies of stay cable-damper systems, and the two factors can serve as design variables in the design phase and as adjustment factors in the construction phase. On the basis of the results, a roadmap for system-level optimal design of stay cable-damper systems that can achieve global optimal vibration suppression for the entire bridge is proposed and discussed.
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Supported by: Key State Laboratories Freedom Research Project under Grant No. SLDRCE09-D-01; the Fundamental Research Funds for the Central Universities, the Project of National Key Technology R&D Program in the 12th Five Year Plan of China under Grant No. 2012BAJ11B01; National Natural Science Foundation of China under Grant No. 50978196; State Meteorological Administration Special Funds of Meteorological Industry Research under Grant No. 201306102; and the Ministry of Education of China under Grant No. 2008B090500222
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Dan, D., Chen, Y. & Xiao, R. Dynamic properties analysis of a stay cable-damper system in consideration of design and construction factors. Earthq. Eng. Eng. Vib. 13, 317–326 (2014). https://doi.org/10.1007/s11803-014-0233-1
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DOI: https://doi.org/10.1007/s11803-014-0233-1