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Optimal variables of TMDs for multi-mode buffeting control of long-span bridges

  • Chen, S.R. (Department of Civil and Environmental Engineering, Louisiana State University) ;
  • Cai, C.S. (Department of Civil and Environmental Engineering, Louisiana State University) ;
  • Gu, M. (Department of Bridge Engineering, Tongji University) ;
  • Chang, C.C. (Department of Civil Engineering, Hong Kong University of Science and Technology)
  • Received : 2002.09.04
  • Accepted : 2003.09.16
  • Published : 2003.10.25

Abstract

In the past decades, much effort has been made towards the study of single-mode-based vibration controls with dynamic energy absorbers such as single or multiple Tuned Mass Dampers(TMDs). With the increase of bridge span length and the tendency of the bridge cross-section being more slender and streamlined, multi-mode coupled vibrations as well as their controls have become very important for large bridges susceptible to strong winds. As a simple but effective device, the TMD system especially the semi-active one has become a promising option for such coupled vibration controls. However, despite various studies of optimal controls of single-mode-based vibrations with TMDs, research on the corresponding controls of the multi-mode coupled vibrations is very rare so far. For the development of a semi-active control strategy to suppress the multi-mode coupled vibrations, a comprehensive parametric analysis on the optimal variables of this control is substantial. In the present study, a multi-mode control strategy named "three-row" TMD system is discussed and the general numerical equations are developed at first. Then a parametric study on the optimal control variables for the "three-row" TMD system is conducted for a prototype Humen Suspension Bridge, through which some useful information and a better understanding of the optimal control variables to suppress the coupled vibrations are obtained. This information lays a foundation for the design of semi-active control.

Keywords

References

  1. Abe, M. and Fujino, Y. (1994), "Dynamic characterization of multiple tuned mass dampers and some designformulas", Earthquake Eng. Struct. Dynamics, 23(8), 813-835. https://doi.org/10.1002/eqe.4290230802
  2. Abe, M. and Igusa, T. (1995), "Tuned Mass Dampers for structures with closely spaced natural frequencies",Earthquake Eng. Struct. Dynamics, 24(2), 247-266. https://doi.org/10.1002/eqe.4290240209
  3. Bucher, C.G. and Lin, Y.K. (1988), "Stochastic stability of bridges considering coupled modes", J. Eng. Mech.,ASCE, 114(12), 2055-2071. https://doi.org/10.1061/(ASCE)0733-9399(1988)114:12(2055)
  4. Cai, C.S. and Albrecht, P. (2000), "Flutter derivatives based random parametric excitation aerodynamic analysis", Computers & Structures, Elsevier Science, Ltd, UK, 75(5), 463-477. https://doi.org/10.1016/S0045-7949(99)00107-8
  5. Chang, C.C., Gu, M. and Tang, K.H. (2003), "Tuned mass dampers for control of suspension bridges in dualmodebuffeting vibration", J. Bridge Eng., ASCE, 8(4), 237-240. https://doi.org/10.1061/(ASCE)1084-0702(2003)8:4(237)
  6. Chen, S.R. and Cai, C.S. (2003), "Evolution of long-span bridge response to wind-numerical simulation anddiscussion", Comput. Struct., 81(21), 2055-2066. https://doi.org/10.1016/S0045-7949(03)00261-X
  7. Conti, E., Grillaud, G., Jacob, J. and Cohen, N. (1996). "Wind effects on Normandie cable-stayed bridge:Comparison between full aeroelastic model tests and quasi-steady analytical approach", J. Wind Eng. Ind.Aerodyn., 65, 189-201. https://doi.org/10.1016/S0167-6105(95)00040-2
  8. Fujino, Y. and Abe, M. (1993), "Design formulas for tuned mass dampers based on a perturbation technique",Earthquake Eng. Struct. Dynamics, 22, 833-854. https://doi.org/10.1002/eqe.4290221002
  9. Gu, M., Chang, C.C., Wu, W. and Xiang, H.F. (1998), "Increase of critical flutter wind speed of long-spanbridges using tuned mass dampers", J. Wind Eng. Ind. Aerodyn., 73(2), 113-123.
  10. Gu, M., Xiang, H.F. and Chen, A.R. (1994), "A practical method of passive TMD for suppressing wind-inducedvertical buffeting of long-span cable-stayed bridges and its application", J. Wind Eng. Ind. Aerodyn., 51, 203-213. https://doi.org/10.1016/0167-6105(94)90004-3
  11. Igusa, T. and Xu, K. (1991), "Vibration reduction characteristics of distributed tuned mass dampers", Proc. 4thInt. Conf. on Recent Advances in Structural Dynamics, Southampton, USA, 596-605.
  12. Jain, A., Jones, N.P. and Scanlan, R.H. (1998), "Effect of modal damping on bridge aeroelasticity", J. Wind Eng.Ind. Aerodyn., 77-78, 421-430. https://doi.org/10.1016/S0167-6105(98)00161-5
  13. Jian, A., Jones, N.P. and Scanlan, R.H. (1996), "Coupled flutter and buffeting analysis of long-span bridges", J.Struct. Eng., ASCE, 122(7), 716-725. https://doi.org/10.1061/(ASCE)0733-9445(1996)122:7(716)
  14. Kareem, A. and Kline, S. (1995), "Performance of multiple mass dampers under random loading", J. Struct.Eng., ASCE, 121(SE2), 349-361.
  15. Katsuchi, H., Jones, N.P., Scanlan, R.H. and Akiyama H. (1998), "Multi-mode flutter and buffeting analysis ofthe Akashi-Kaikyo Bridge", J. Wind Eng. Ind. Aerodyn., 77&78, 431-441.
  16. Lin, Y.K. and Yang, J.N. (1983), "Multimode bridge response to wind excitation", J. Eng. Mech., ASCE, 109(2),586-603. https://doi.org/10.1061/(ASCE)0733-9399(1983)109:2(586)
  17. Lin, Z.X. and Xiang, H.F. (1995), "Full scale wind tunnel test of Humen Bridge", Technical report of state keylaboratory of wind tunnel in China (in Chinese).
  18. Miyata, T. and Yamada, H. (1999), "New idea on the aero-elastic coupled behavior control of the super longspan bridges", Proc. 2th World Conf. on Structural Control (Kyoto, Japan 1999), 2, 843-850.
  19. Namini, A., Albrecht, P. and Bosch, H. (1992), "Finite element-based flutter analysis of cable-suspendedbridges", J. Struct. Eng., ASCE, 118(6), 1509-1526. https://doi.org/10.1061/(ASCE)0733-9445(1992)118:6(1509)
  20. Simiu, E. and Scanlan, R.H. (1996), Wind Effects on Structures - Fundamentals and Applications to Design,John Wiley & Sons Publication.
  21. Takeda, T., Niihara, Y., Ohshio, M., Nakano, R., Kozuma, F. and Ogawa, A. (1998), "Vertical gust responsecontrol of long span cable-stayed bridge under cantilever construction by active mass damper", Proc. of the2nd World Conference on Structural Control, 835-842.
  22. Tanaka, H., Yamamura, N. and Dung, N.N. (1993), "Multi-mode flutter analysis and two and three dimensionalmodel test on bridges with non-analogous modal shapes", J. Struct. Mech. Earthquake Eng., Tokyo, Japan,10(2), 35-46.
  23. Thorbek, L.T. and Hansen, S.O. (1998), "Coupled buffeting response of suspension bridges", J. Wind Eng. Ind.Aerodyn., 74-76, 839-847. https://doi.org/10.1016/S0167-6105(98)00076-2
  24. Wilde, K., Fujino, Y. and Kawakami, T. (1999), "Analytical and experimental study on passive aerodynamiccontrol of flutter of a bridge deck", J. Wind Eng. Ind. Aerodyn., 80, 105-119. https://doi.org/10.1016/S0167-6105(98)00196-2

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