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Prevention of suspension bridge flutter using multiple tuned mass dampers

  • Ubertini, Filippo (Department of Civil and Environmental Engineering, University of Perugia)
  • Received : 2009.01.16
  • Accepted : 2009.10.20
  • Published : 2010.05.25

Abstract

The aeroelastic stability of bridge decks equipped with multiple tuned mass dampers is studied. The problem is attacked in the time domain, by representing self-excited loads with the aid of aerodynamic indicial functions approximated by truncated series of exponential filters. This approach allows to reduce the aeroelastic stability analysis in the form of a direct eigenvalue problem, by introducing an additional state variable for each exponential term adopted in the approximation of indicial functions. A general probabilistic framework for the optimal robust design of multiple tuned mass dampers is proposed, in which all possible sources of uncertainties can be accounted for. For the purposes of this study, the method is also simplified in a form which requires a lower computational effort and it is then applied to a general case study in order to analyze the control effectiveness of regular and irregular multiple tuned mass dampers. A special care is devoted to mistuning effects caused by random variations of the target frequency. Regular multiple tuned mass dampers are seen to improve both control effectiveness and robustness with respect to single tuned mass dampers. However, those devices exhibit an asymmetric behavior with respect to frequency mistuning, which may weaken their feasibility for technical applications. In order to overcome this drawback, an irregular multiple tuned mass damper is conceived which is based on unequal mass distribution. The optimal design of this device is finally pursued via a full domain search, which evidences a remarkable robustness against frequency mistuning, in the sense of the simplified design approach.

Keywords

References

  1. Abe, M. and Fujino, Y. (1994), "Dynamic characterization of multiple tuned mass dampers and some design formulas", Eartq. Eng. Struct. D., 23, 813-835. https://doi.org/10.1002/eqe.4290230802
  2. Breccolotti, M., Gusella, V. and Materazzi, A.L. (2007), "Active displacement control of a wind-exposed mast", Struct. Control Health, 14, 556-575. https://doi.org/10.1002/stc.172
  3. Caracoglia, L. and Jones, N.P. (2003), "A methodology for the experimental extraction of indicial functions for streamlined and bluff deck sections", J. Wind Eng. Aerod., 91, 609-36. https://doi.org/10.1016/S0167-6105(02)00473-7
  4. Caracoglia, L. (2008), "Influence of uncertainty in selected aerodynamic and structural parameters on the buffeting response of long-span bridges", J. Wind Eng. Aerod., 96, 327-344. https://doi.org/10.1016/j.jweia.2007.08.001
  5. Casciati, F., Magonette, G. and Marazzi, F. (2007), Technology of Semiactive Devices and Applications in Vibration Mitigation, John Wiley & Sons, Chichester.
  6. Chen, X. and Kareem, A. (2003), "Efficacy of tuned mass dampers for bridge flutter control", J. Struct. Eng.-ASCE, 129(10), 1291-1300. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:10(1291)
  7. Chen, X., Matsumoto, M. and Kareem, A. (2000a), "Aerodynamic coupling effects on flutter and buffeting of bridges", J. Eng. Mech.-ASCE, 126(1), 17-26. https://doi.org/10.1061/(ASCE)0733-9399(2000)126:1(17)
  8. Chen, X., Matsumoto, M. and Kareem, A. (2000b), "Time domain flutter and buffeting response analysis of bridges", J. Eng. Mech.-ASCE, 126(1), 7-16. https://doi.org/10.1061/(ASCE)0733-9399(2000)126:1(7)
  9. Cluni, F., Gusella, V. and Ubertini, F. (2007), "A parametric investigation of wind-induced cable fatigue", Eng. Struct., 29(11), 3094-3105. https://doi.org/10.1016/j.engstruct.2007.02.010
  10. Coller, B.D. and Chamara, P.A. (2004), "Structural nonlinearities and the nature of the classic flutter instability", J. Sound Vib., 277, 711-739. https://doi.org/10.1016/j.jsv.2003.09.017
  11. Costa, C. and Borri, C. (2006), "Application of indicial functions in bridge deck aeroelasticity", J. Wind Eng. Aerod., 94, 859-881. https://doi.org/10.1016/j.jweia.2006.06.007
  12. Den Hartog, J.P. (1956), Mechanical Vibrations, 4th Edition, McGraw-Hill, New York.
  13. Faravelli, L., Fuggini, C. and Ubertini, F. (2009), "Toward a hybrid control solution for cable dynamics: theoretical prediction and experimental validation", Struct. Control Health, DOI: 10.1002/stc.313
  14. Faravelli, L. and Ubertini, F. (2009), "Nonlinear state observation for cable dynamics", J. Vib. Control, 15, 1049- 1077. https://doi.org/10.1177/1077546308094253
  15. Gu, M., Chang, C.C., Wu, W. and Xiang, H.F. (1998), "Increase of critical flutter wind speed of long-span bridges using tuned mass dampers", J. Wind Eng. Aerod., 74, 111-123. https://doi.org/10.1016/S0167-6105(98)00009-9
  16. Gusella, V. and Materazzi, A.L. (2000), "Non-Gaussian along-wind response analysis in time and frequency domains", Eng. Struct., 22, 49-57. https://doi.org/10.1016/S0141-0296(98)00074-1
  17. Kareem, A. and Kline, S. (1995), "Performance of multiple mass dampers under random loading", J. Struct. Eng.-ASCE, 121, 348-361. https://doi.org/10.1061/(ASCE)0733-9445(1995)121:2(348)
  18. Kwon, S.D. (2002), "Discussion on control of flutter of suspension bridge deck using TMD", Wind Struct., 5, 563-567.
  19. Kwon, S.D. and Chang, S.P. (2000), "Suppression of flutter and gust response of bridges using actively controlled edge surfaces", J. Wind Eng. Aerod., 88(2-3), 263-281. https://doi.org/10.1016/S0167-6105(00)00053-2
  20. Kwon, S.D. and Park, K.S. (2004), "Suppression of bridge flutter using tuned mass dampers based on robust performance design", J. Wind Eng. Aerod., 92(11), 919-934. https://doi.org/10.1016/j.jweia.2004.05.006
  21. Lazzari, M., Vitaliani, R.V. and Saetta, A. (2004), "Aeroelastic forces and dynamic response of long-span bridges", Int. J. Numer. Meth. Eng., 60, 1011-1048. https://doi.org/10.1002/nme.987
  22. Lin, Y.Y., Cheng, C.M. and Lee, C.H. (1999), "Multiple tuned mass dampers for controlling coupled buffeting and flutter of long-span bridges", Wind Struct., 2(4), 267-284. https://doi.org/10.12989/was.1999.2.4.267
  23. Lin, Y.Y., Cheng, C.M. and Lee, C.H. (2000), "A tuned mass damper for suppressing the coupled flexural and torsional buffeting response of long-span bridges", Eng. Struct., 22, 1195-1204. https://doi.org/10.1016/S0141-0296(99)00049-8
  24. Piccardo, G. (1993), "A methodology for the study of coupled aeroelastic phenomena", J. Wind Eng. Aerod., 48(2-3), 241-252. https://doi.org/10.1016/0167-6105(93)90139-F
  25. Pourzeynali, S. and Datta, T.K. (2002), "Control of flutter of suspension bridge deck using TMD", Wind Struct., 5, 407-422. https://doi.org/10.12989/was.2002.5.5.407
  26. Preidikman, S. and Mook, D.T. (1997), "A new method for actively suppressing flutter of suspension bridges", J. Wind Eng. Aerod., 69-71, 955-974.
  27. Robertson, I., Sherwin, S.J. and Bearman, P.W. (2003), "Flutter instability prediction techniques for bridge deck sections", Int. J. Numer. Meth. Fl., 43, 1239-1256. https://doi.org/10.1002/fld.535
  28. Salvatori, L. and Borri, C. (2007), "Frequency- and time-domain methods for the numerical modeling of fullbridge aeroelasticity", Comput. Struct., 85, 675-687. https://doi.org/10.1016/j.compstruc.2007.01.023
  29. Scanlan, R.H., Béliveau, J.G. and Budlong, K. (1974), "Indicial aerodynamics functions for bridge decks", J. Eng. Mech.-ASCE, 100, 657-72.
  30. Scanlan, R.H. and Jones, N.P. (1998), Wind Response Study Carquinez Strait Suspended Span, Report for West Wind Laboratory, Inc. and OPAC Consulting Engineers.
  31. Simiu, E. and Scanlan, R.H. (1996), Wind Effects on Structures, third ed., John Wiley and Sons, New York.
  32. Soong, TT. (1991), Active Structural Control: Theory and Practice, Longman Scientific & Technical, England.
  33. Tiffany, S.H. and Adams, W.M. (1988), Nonlinear Programming Extensions to Rational Function Approximation Methods for Unsteady Aerodynamic Forces, NASA TP-2776.
  34. Tubino, F. and Solari, G. (2007), "Gust buffeting of long span bridges: Double Modal Transformation and effective turbulence", Eng. Struct., 29(8), 1698-1707. https://doi.org/10.1016/j.engstruct.2006.09.019
  35. Ubertini, F. (2008a), "Active feedback control for cable vibrations", Smart Struct. Syst., 4(4), 407-428. https://doi.org/10.12989/sss.2008.4.4.407
  36. Ubertini, F. (2008b), Wind effects on bridges: response, stability and control, PhD Dissertation, University of Pavia, Italy.

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