DOI QR코드

DOI QR Code

Dynamic characteristics of cable vibrations in a steel cable-stayed bridge using nonlinear enhanced MECS approach

  • 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 : 2007.05.16
  • Accepted : 2008.06.30
  • Published : 2008.09.10

Abstract

This paper focuses on the nonlinear vibrations of stay cables and evaluates the dynamic characteristics of stay cables by using the nonlinear enhanced MECS approach and the approximate approach. The nonlinear enhanced MECS approach is that both the girder-tower vibrations and the cable vibrations including parametric cable vibrations are simultaneously considered in the numerical analysis of cable-stayed bridges. Cable finite element method is used to simulate the responses including the parametric vibrations of stay cables. The approximate approach is based on the assumption that cable vibrations have a small effect on girder-tower vibrations, and analyzes the local cable vibrations after obtaining the girder-tower responses. Under the periodic excitations or the moderate ground motion, the differences of the responses of stay cables between these two approaches are evaluated in detail. The effect of cable vibrations on the girder and towers are also discussed. As a result, the dynamic characteristics of the parametric vibrations in stay cables can be evaluated by using the approximate approach or the nonlinear enhanced MECS approach. Since the different axial force fluctuant of stay cables in both ends of one girder causes the difference response values between two approach, it had better use the nonlinear enhanced MECS approach to perform the dynamic analyses of cable-stayed bridges.

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. ARK Information Systems Inc. (2003), TDAP III, Japan
  3. 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
  4. Broughton, P. and Ndumbaro, P. (1994), The Analysis of Cable & Catenary Structures, Thomas Telford
  5. Caetano, E., Cunha, A. and Taylor, C. (2000a), "Investigation of dynamic cable-deck interaction in a physical model of a cable-stayed bridge. Part I: Modal analysis", Earthq. Eng. Struct. Dyn., 29, 481-498 https://doi.org/10.1002/(SICI)1096-9845(200004)29:4<481::AID-EQE918>3.0.CO;2-1
  6. Caetano, E., Cunha, A. and Taylor, C. (2000b), "Investigation of dynamic cable-deck interaction in a physical model of a cable-stayed bridge. Part II: Seismic response", Earthq. Eng. Struct. Dyn., 29, 499-521 https://doi.org/10.1002/(SICI)1096-9845(200004)29:4<499::AID-EQE919>3.0.CO;2-A
  7. Caetano, E., Cunha, A., Gattulli, V. and Lepidi, M. (2008), "Cable-deck dynamic interactions at the International Guadiana Bridge: On-site measurements and finite element modeling", Struct. Control Health Monit., 15(3), 237-264
  8. Campbell, J.E. and Smith, S.W. (2003), "Comparison of field survey test results of four cable stayed bridges: deck/cable response and controlled/ambient traffic excitation", Fifth International Symposium on Cable Dynamics, Santa Margherita Ligure, Italy, 517-524
  9. Earthquake Engineering Committee of Japan Society of Civil Engineers (2000), Earthquake Resistant Design Codes in Japan
  10. Fujino, Y. and Kimura, K. (1997). "Cables and cable vibration in cable-supported bridges", Proc. of Int. Seminar on Cable Dynamics, Technical Committee on Cable Structures and Wind, Japan Association for Wind Engineering, 1-11
  11. 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 Dyn., 4, 111-138
  12. Gattulli, V. and Lepidi, M. (2007), "Localization and veering in the dynamics of cable-stayed bridges", Comput. Struct., 85(21-22), 1661-1678 https://doi.org/10.1016/j.compstruc.2007.02.016
  13. Gattulli, V. and Lepidi, M. (2003), "Nonlinear interactions in the planar dynamics of cable-stayed beam", Int. J. Solids Struct., 40(18), 4729-4748 https://doi.org/10.1016/S0020-7683(03)00266-X
  14. Gattulli, V., Lepidi, M., Macdonald, J. and Taylor, C. (2005), "One-to-two global local interaction in a cable stayed beam observed through analytical, finite element and experimental models", Int. J. Non-linear Mech., 40(5), 571-588 https://doi.org/10.1016/j.ijnonlinmec.2004.08.005
  15. Gattulli, V., Martinelli, L., Perotti, F. and Vestroni, F. (2004), "Nonlinear oscillations of cables under harmonic loading by analytical and finite element models", Comput. Meth. Appl. Mech. Eng., 193, 69-85 https://doi.org/10.1016/j.cma.2003.09.008
  16. Gimsing, N.J. (1983), Cable Supported Bridges, John Wiley and Sons Ltd
  17. Haddow, A.G., Barr, A.D.S. and Mook, D.T. (1984), "Theoretical and experimental study of modal interaction in a two-degree-of-freedom structure", J. Sound Vib., 97(3), 451-473 https://doi.org/10.1016/0022-460X(84)90272-4
  18. Hikami, Y. and Shiraishi, N. (1988), "Rain-wind induced vibrations of cables in cable stayed bridges", J. Wind Eng. Ind. Aerod., 29, 409-418 https://doi.org/10.1016/0167-6105(88)90179-1
  19. Kovacs, I., Leonhardt, A. and Partner, G. (1982), "Zur Frage der Seilschwingungen und der Seildampfung", Die Bautechnik, 59(10), 325-332 (in German)
  20. 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
  21. Nayfeh, A.H. and Balachandran, B. (1990), "Experimental investigation of resonantly forced oscillations of a two-degree-of-freedom structure", Int. J. Non-linear Mech., 25, 199-209 https://doi.org/10.1016/0020-7462(90)90051-A
  22. Nayfeh, A.H. and Mook, D.T. (1979), Nonlinear Oscillations, John Wiley & Sons, Inc
  23. 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)
  24. Royer-Carfagni, G.F. (2003), "Parametric-resonance-induced cable vibrations in network cable-stayed bridges. A continuum approach", J. Sound Vib., 262(5), 1191-1222 https://doi.org/10.1016/S0022-460X(02)01149-5
  25. Smith, S.W. and Baker, J.R. (2001), "Toward simulating parametric response of bridge stay cables resulting from motion of the deck and tower", Fourth International Symposium on Cable Dynamics, Montreal, Canada, 361-368
  26. 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
  27. 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
  28. Walther, R., Houriet, B., Isler, W., Moia, P. and Klein, J.F. (1999), Cable Stayed Bridges, Thomas Telford
  29. 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(4), 695-712 https://doi.org/10.1006/jsvi.1995.0553
  30. 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(3), 403-420 https://doi.org/10.1016/S0022-460X(02)01088-X
  31. Wu, Q., Chen, B. and Takahashi, K. (2007), "A finite element method for elasto-placstic and geometric nonlinearity of concrete-filled-steel-tubular arch", Proc. of the Fifth Int. Conference on Arch Bridge, Madeira, Portugal, 855-862
  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. and Chen, B. (2007), "Influence of cable loosening on nonlinear parametric vibrations of inclined cables", Struct. Eng. Mech., 25(2), 219-237 https://doi.org/10.12989/sem.2007.25.2.219