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Analysis of local vibrations in the stay cables of an existing cable-stayed bridge under wind gusts

  • Wu, Qingxiong (College of Civil Engineering, Fuzhou University) ;
  • Takahashi, Kazuo (Department of Civil Engineering, Faculty of Engineering, Nagasaki University) ;
  • Chen, Baochun (College of Civil Engineering, Fuzhou University)
  • Received : 2005.12.28
  • Accepted : 2008.01.08
  • Published : 2008.11.30

Abstract

This paper examines local vibrations in the stay cables of a cable-stayed bridge subjected to wind gusts. The wind loads, including the self-excited load and the buffeting load, are converted into time-domain values using the rational function approximation and the multidimensional autoregressive process, respectively. The global motion of the girder, which is generated by the wind gusts, is analyzed using the modal analysis method. The local vibration of stay cables is calculated using a model in which an inclined cable is subjected to time-varying displacement at one support under global vibration. This model can consider both forced vibration and parametric vibration. The response characteristics of the local vibrations in the stay cables under wind gusts are described using an existing cable-stayed bridge. The results of the numerical analysis show a significant difference between the combined parametric and forced vibrations and the forced vibration.

Keywords

References

  1. Abdel-Ghaffar, A.M. and Khalifa, M.A. (1991), 'Importance of cable vibration in dynamics of cable-stayed bridges', J. Eng. Mech., ASCE, 117, 2571-2589 https://doi.org/10.1061/(ASCE)0733-9399(1991)117:11(2571)
  2. Au, F.T.K., Cheng, Y.S., Cheung, Y.K. and Zheng, D.Y. (2001), 'On the determination of natural frequencies and mode shapes of cable-stayed bridges', Appl. Math. Model., 25, 1099-1115 https://doi.org/10.1016/S0307-904X(01)00035-X
  3. Boonyapinyo, V., Miyata T. and Yamada, H. (1999), 'Advanced aerodynamic analysis of suspension bridges by state-space approach', J. Struct. Eng., ASCE, 125, 1357-1366 https://doi.org/10.1061/(ASCE)0733-9445(1999)125:12(1357)
  4. Caetano, E., Cunha, A. and Taylor, C. (2000), 'Investigation of dynamic cable-eck interaction in a physical model of a cable-stayed bridge: Part I: modal analysis', Earthq. Eng. Struct. Dynam., 29, 481-498 https://doi.org/10.1002/(SICI)1096-9845(200004)29:4<481::AID-EQE918>3.0.CO;2-1
  5. Caetano, E., Cunha, A. and Taylor, C. (2000), 'Investigation of dynamic cable-eck interaction in a physical model of a cable-stayed bridge: Part II: seismic response', Earthq. Eng. Struct. Dynam., 29, 499-521 https://doi.org/10.1002/(SICI)1096-9845(200004)29:4<499::AID-EQE919>3.0.CO;2-A
  6. Chen, X., Matsumoto, M. and Kareem, A. (2000), 'Time domain flutter and buffeting response analysis of bridges', J. Eng. Mech., ASCE, 126, 7-16 https://doi.org/10.1061/(ASCE)0733-9399(2000)126:1(7)
  7. Davenport, A.G. (1961), 'The spectrum of horizontal gustiness near the ground in high winds', Quarterly J. Royal Meteorological Soc., 87, 194-221 https://doi.org/10.1002/qj.49708737208
  8. Ding, Q., Lee P.K.K. and Lo, S.H. (2000), 'Time domain buffeting analysis of suspension bridges subjected to turbulent wind with effective attack angle', J. Sound Vib., 233, 311-327 https://doi.org/10.1006/jsvi.1999.2801
  9. Fujino, Y., Warnitchai, P. and Pacheco, B.M. (1993), 'An experimental and analytical study of autoparametric resonance in a 3 DOF model of cable-stayed-beam', Nonlinear Dynam., 4, 111-138
  10. Fujino, Y., and Kimura, K. (1997), 'Cables and cable vibration in cable-supported bridges', Proceedings of International Seminar on Cable Dynamics, Technical Committee on Cable Structures and Wind, Japan Association for Wind Engineering, 1-11
  11. Gill, P.E. and Murray, W. (1972), 'Quasi-newton methods for unconstrained minimization', J. Inst. Math. Appl., 9, 91-108 https://doi.org/10.1093/imamat/9.1.91
  12. Gimsing, N.J. (1997), Cable Supported Bridges, John Wiley and Sons Ltd.
  13. Iannizzi, A. and Spinell, P. (1987), 'Artificial wind generation and structural response', J. Struct. Eng., ASCE, 113, 2382-2398 https://doi.org/10.1061/(ASCE)0733-9445(1987)113:12(2382)
  14. Irvine, H.M. (1981), Cable Structures, The Massachusetts Institute of Technology Press, Cambridge, MA
  15. Iwatani, Y. (1982), 'Simulation of multidimensional wind fluctuations having any arbitrary power spectra and cross spectra', J. Wind Eng., 11, 5-18 (in Japanese)
  16. Jain, A., Jones, N.P. and Scanlan, R.H. (1996), 'Coupled flutter and buffeting analysis of long-span bridges', J. Struct. Eng., ASCE, 122, 716-725 https://doi.org/10.1061/(ASCE)0733-9445(1996)122:7(716)
  17. Lilien, J.L. and Pinto Da Costa, A. (1994), 'Vibration amplitudes caused by parametric excitation on cable stayed structures', J. Sound Vib., 174, 69-90 https://doi.org/10.1006/jsvi.1994.1261
  18. Panofsky, H.A. and Dutton, J.A. (1984), Atmospheric Turbulence: Models and Methods for Engineering Applications, Wiley-Interscience, New York
  19. Pinto da Costa, A., Martins, J.A.C., Branco, F. and Lilien, J.L. (1996), 'Oscillations of bridge stay cables induced by periodic motions of deck and/or towers', J. Eng. Mech., ASCE, 122, 613-622 https://doi.org/10.1061/(ASCE)0733-9399(1996)122:7(613)
  20. Rogar, K. (1977), 'Airplane math modeling methods for active control deign', AGARD-CP-228, Advisory Group for Aerodynamic Research and Development, Structural Aspects of Active Control, Washington, D.C., 4-1-4-11
  21. Scanlan, R.H. (1978), 'The action of flexible bridges under wind, I: Flutter theory', J. Sound Vib., 60, 187-199 https://doi.org/10.1016/S0022-460X(78)80028-5
  22. Scanlan, R.H. (1978), 'The action of flexible bridges under wind, II: Buffeting theory', J. Sound Vib., 60, 201-211 https://doi.org/10.1016/S0022-460X(78)80029-7
  23. Scanlan, R.H. (1988), 'On flutter and buffeting mechanisms in long-span bridges', Probabilist. Eng. Mech., 3, 22-27 https://doi.org/10.1016/0266-8920(88)90004-5
  24. Qingxiong Wu, Kazuo Takahashi and Baochun Chen Scanlan, R.H. and Jones, N.P. (1990), 'Aeroelastic analysis of cable-stayed bridges', J. Struct. Eng., ASCE, 116, 279-297 https://doi.org/10.1061/(ASCE)0733-9445(1990)116:2(279)
  25. Simiu, E. and Scanlan, R.H. (1996), Wind Effects on Structures, Wiley, New York
  26. Sun, D.K., Xu, Y.L., Ko, J.M. and Lin, J.H. (1999), 'Fully coupled buffeting analysis of long-span cablesupported bridges: Formulation', J. Sound Vib., 228, 569-588 https://doi.org/10.1006/jsvi.1999.2425
  27. Takahashi, K. (1991), 'Dynamic stability of cables subjected to an axial periodic load', J. Sound Vib., 144, 323-330 https://doi.org/10.1016/0022-460X(91)90752-6
  28. Tuladhar, R., Dilger, W.H. and Elbadry, M.M. (1995), 'Influence of cable vibration on seismic response of cablestayed bridges', Can. J. Civil Eng., 22, 1001-1020 https://doi.org/10.1139/l95-116
  29. Uhrig, R. (1993), 'On kinetic response of cables of cable-stayed bridges due to combined parametric and forced excitation', J. Sound Vib., 165, 185-192
  30. Warnitchai, P., Fujino, Y. and Susumpow, T. (1995), 'A non-linear dynamic model for cables and its application to cable-structure system', J. Sound Vib., 187, 695-712 https://doi.org/10.1006/jsvi.1995.0553
  31. Wilde, K., Fujino, Y. and Masukawa, J. (1996), 'Time domain modeling of bridge deck flutter', J. Struct. Mech. Earthq. Eng., JSCE, 543, 19-30
  32. Wu, Q., Takahashi K. and Chen, B. (2006), 'Using cable finite elements to analyze parametric vibrations of stay cables in cable-stayed bridges', Struct. Eng. Mech., 23(6), 691-711 https://doi.org/10.12989/sem.2006.23.6.691
  33. Wu, Q., Takahashi, K., Okabayashi, T. and Nakamura, S. (2001), 'Response characteristics on local vibrations of stay cables in an existing cable-stayed bridge', Fourth International Symposium on Cable Dynamics, Montreal, Canada, 101-108
  34. Wu, Q., Takahashi, K., Okabayashi, T. and Nakamura, S. (2003), 'Response characteristics of local vibrations in stay cables on an existing cable-stayed bridge', J. Sound Vib., 261, 403-420 https://doi.org/10.1016/S0022-460X(02)01088-X
  35. Xu, Y.L., Sun, D.K., Ko, J.M. and Lin, J.H. (2000), 'Fully coupled buffeting analysis of Tsing Ma suspension bridge', J. Wind Eng. Ind. Aerod., 85, 97-117 https://doi.org/10.1016/S0167-6105(99)00133-6
  36. Yoshimura, T., Inoye, A., Kaji, K. and Savage M. (1989), 'A study on the aerodynamic stability of the Aratsu Bridge', Proceedings of Canada-Japan Workshop on Bridge Aerodynamics, National Research Council of Canada, Ottawa, Canada, 141-50
  37. Zhu L.D. and Xu Y.L. (2005), 'Buffeting response of long-span cable-supported bridges under skew winds. Part 1: Theory', J. Sound Vib., 281, 647-673 https://doi.org/10.1016/j.jsv.2004.01.026
  38. Iannizzi, A. and Spinell, P. (1987), 'Artificial wind generation and structural response', J. Struct. Eng., ASCE, 113, 2382-2398 https://doi.org/10.1061/(ASCE)0733-9445(1987)113:12(2382)

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