Design guidelines for open-loop vibration control of stay cables using MR dampers

Y. F. Duan, Yiqing Ni, J. M. Ko

Research output: Journal article publicationConference articleAcademic researchpeer-review

6 Citations (Scopus)


A mathematical model based on the complex modal theory is formulated to evaluate the damping ratio of cables incorporating smart magneto-rheological (MR) dampers in open-loop control mode, taking into account the damper coefficient, damper stiffness, damper mass, stiffness of the damper support, nonlinearity of the damper, as well as the cable sag and inclination. Based on asymptotic solution of the developed mathematical model, a 'generalized universal formula' is proposed to facilitate the damper design. Comprehensive parametric studies are carried out to analyze the effects on the maximum attainable damping ratio and the corresponding optimal damper coefficient. Making use of the 'generalized universal formula' and results from the parametric studies, design guidelines/procedures for open-loop cable vibration control using MR dampers are developed, for both single-mode optimal control and multi-mode suboptimal control. The guidelines/procedures facilitate the engineering application of MR dampers in mitigating the rain-wind-induced cable vibration on cable-stayed bridges.
Original languageEnglish
Article number72
Pages (from-to)678-689
Number of pages12
JournalProceedings of SPIE - The International Society for Optical Engineering
Issue numberPART 2
Publication statusPublished - 30 Sept 2005
EventSmart Structures and Materials 2005 - Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems - San Diego, CA, United States
Duration: 7 Mar 200510 Mar 2005


  • Design guidelines
  • MR damper
  • Open-loop control
  • Rain-wind-induced vibration
  • Stay cable

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering


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