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Smart Structures and Systems
  Volume 23, Number 6, June 2019 , pages 521-536
DOI: https://doi.org/10.12989/sss.2019.23.6.521
 


Design formulas for vibration control of taut cables using passive MR dampers
Yuanfeng Duan, Yi-Qing Ni, Hongmei Zhang, Billie F. Jr. Spencer, Jan-Ming Ko and Yi Fang

 
Abstract
    Using magnetorheological (MR) dampers in multiswitch open-loop control mode has been shown to be cost-effective for cable vibration mitigation. In this paper, a method for analyzing the damping performance of taut cables incorporating MR dampers in open-loop control mode is developed considering the effects of damping coefficient, damper stiffness, damper mass, and stiffness of the damper support. Making use of a three-element model of MR dampers and complex modal analysis, both numerical and asymptotic solutions are obtained. An analytical expression is obtained from the asymptotic solution to evaluate the equivalent damping ratio of the cable-damper system in the open-loop control mode. The individual and combined effects of the damping coefficient, damper stiffness, damper mass and stiffness of damper support on vibration control effectiveness are investigated in detail. The main thrust of the present study is to derive a general formula explicitly relating the normalized system damping ratio and the normalized damper parameters in consideration of all concerned effects, which can be easily used for the design of MR dampers to achieve optimal open-loop vibration control of taut cables.
 
Key Words
     taut cable; vibration mitigation; MR damper; passive control; open-loop control
 
Address
Yuanfeng Duan, Hongmei Zhang and Yi Fang: College of Civil Engineering and Architecture, Zhejiang University, 866 Yuhangtang Rd., Hangzhou 310058, P.R. China
Yi-Qing Ni and Jan-Ming Ko: Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University,
Hung Hom, Kowloon, Hong Kong
Billie. F., Jr. Spencer: Department of Civil and Environmental Engineering, The University of Illinois at Urbana-Champaign, Urbana-Champaign, Illinois, USA


 

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