Damping updating of a building structure installed with an MR damper

  • Woo, Sung-Sik (Department of Architectural Engineering, Dankook University) ;
  • Lee, Sang-Hyun (Department of Architectural Engineering, Dankook University)
  • Received : 2012.11.20
  • Accepted : 2013.10.16
  • Published : 2013.12.25


The purpose of this paper is to identify through experiments the finite element (FE) model of a building structure using a magnetorheological (MR) fluid damper. The FE model based system identification (FEBSI) technique evaluates the control performance of an MR damper that has nonlinear characteristics as equivalent linear properties such as mass, stiffness, and damping. The Bingham and Bouc-Wen models were used for modeling the MR damper and the equivalent damping increased by the MR damper was predicted by applying an equivalent linearization technique. Experimental results indicate that the predicted equivalent damping matches well with the experimentally obtained damping.


Supported by : Dankook University


  1. Caughy, T.K. (1960), "Random excitation of a system with bilinear hysteresis", J. Appl. Mech.- T. ASME., 27, 649-652.
  2. Chang, K.C., Lai, M.L., Soong, T.T., Hao D.S. and Yeh, Y.C. (1993), Seismic behavior and design guidelines for steel frame structures with added viscoelastic dampers, Technical Peport NCEER-93-0009, National Center for Earthquake Engineering Research.
  3. Chopra, A.K. (2001), Dynamics of structures: Theory and applications to earthquake engineering, 2nd Ed., Prentice Hall, Upper Saddle River, NJ.
  4. Dyke, S.J., Spencer Jr., B.F., Sain, M.K. and Carlson, J.D. (1996), "Moeling and control of magnrtorhrological dampers for seismic response reduction", Smart Mater. Struct., 5, 565-575.
  5. Friswell, M.I. and Mottershead, J.E. (1995), Finite element model updating in structural dynamics, Kluwer Academic Publishers, Boston, London.
  6. Gamota, D.R. and Filisko, F.E. (1991), "Dynamic mechanical studies of electrorheological materials: moderate frequencies", J. Rheology, 35(3), 399-425.
  7. Hwang, J.S., Min, K.W., Lee, S.H. and Kim, H. (2005), "Probabilistic approach for active control of structures: experimental verification", Earthq. Eng. Struct.D., 34(3), 207-225.
  8. Jansen, L.M, and Dyke, S.J. (2000), "Semi-active control strategies for MR dampers: comparative study", J. Eng. Mech. - ASCE, 126(8), 795-803.
  9. Lee, S.H., Min, K.W., Kim, J.K. and Hwang, J.S. (2004), "Equivalent damping ratio of a structure with added dampers", Eng. Struct., 26(3), 335-346.
  10. Lee, S.H., Min, K.W., Chun ,L., Lee, S.K., Lee, M.K., Hwang, J.S., Choi, S.B. and Lee, H.G. (2007),"Bracing system for installation of MR dampers in a building structure", J. Intel. Mat. Syst. Str., 18(11), 1111-1120.
  11. Lee, S.H., Yun, K.J. and Min, K.W. (2011), "A decentralized response-dependent MR damper for controlling building structures excited by seismic load", J. Intel. Mat. Syst. Str., 22(16), 1913-1927.
  12. Li, C. and Reinhorn, J.C. (1995), Experimental and analytical investigation of seismic retrofit of structures with supplemental damping: part II-friction devices, Technical Report NCEER-95-0009, National Center for Earthquake Engineering Research.
  13. Soong, T.T. and Dargush, G.F. (1997), Passive energy dissipation systems in structural engineering, John Wiley & Sons Ltd, Chichester, England.
  14. Spencer Jr., B.F., Dyke, S.J., Sain, M.K. and Carlson, J.D. (1997), "Phenomenological model for magnetorheological dampers", J. Eng. Mech. - ASCE, 123(3), 230-238.
  15. Stanway, R., Sproston, J.L. and Stevens, N.G. (1987), "Non-linear modeling of an electro-rheological vibration damper", J. Electrostatics, 20(2), 167-184.
  16. Wen, Y.K. (1976), "Method of random vibration of hysteretic systems", J. Eng. Mech. - ASCE, 102(2), 249-263.
  17. Wereley, N.M., Pang, L. and Kamath, G.M. (1998), "Idealized hysteresis modeling of electrorheological and magnetorheological dampers", J. Intel. Mat. Syst. Str., 9(8), 642-649.
  18. Yalla, S.K. (2001), Liquid dampers for mitigation of structural response: theoretical development and experimental validation, Ph.D Dissertation, Univ. of Notre Dame,
  19. Yang, G. (2001), Large-scale magnetorheological fluid damper for vibration mitigation: modeling, testing and Control, Ph.D Dissertation, Univ. of Notre Dame.

Cited by

  1. Locating and identifying model-free structural nonlinearities and systems using incomplete measured structural responses vol.15, pp.2, 2015,