Structural Engineering and Mechanics

  • 제43권5호
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  • Pages.691-709
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  • 2012
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Investigation on deck-stay interaction of cable-stayed bridges with appropriate initial shapes

  • Liu, Ming-Yi (Department of Civil Engineering, Chung Yuan Christian University) ;
  • Lin, Li-Chin (Department of Civil Engineering, Chung Yuan Christian University) ;
  • Wang, Pao-Hsii (Department of Civil Engineering, Chung Yuan Christian University)
  • 투고 : 2012.04.23
  • 심사 : 2012.08.09
  • 발행 : 2012.09.10
⟨ 이전 논문 다음 논문 ⟩

초록

This paper provides a variety of viewpoints to illustrate the mechanism of the deck-stay interaction with the appropriate initial shapes of cable-stayed bridges. Based on the smooth and convergent bridge shapes obtained by the initial shape analysis, the one-element cable system (OECS) and multi-element cable system (MECS) models of the Kao Ping Hsi Bridge in Taiwan are developed to verify the applicability of the analytical model and numerical formulation from the field observations in the authors' previous work. For this purpose, the modal analysis of the two finite element models are conducted to calculate the natural frequency and normalized mode shape of the individual modes of the bridge. The modal coupling assessment is also performed to obtain the generalized mass ratios among the structural components for each mode of the bridge. The findings indicate that the coupled modes are attributed to the frequency loci veering and mode localization when the "pure" deck-tower frequency and the "pure" stay cable frequency approach one another, implying that the mode shapes of such coupled modes are simply different from those of the deck-tower system or stay cables alone. The distribution of the generalized mass ratios between the deck-tower system and stay cables are useful indices for quantitatively assessing the degree of coupling for each mode. These results are demonstrated to fully understand the mechanism of the deck-stay interaction with the appropriate initial shapes of cable-stayed bridges.

키워드

참고문헌

  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(11), 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(12), 1099-1115. https://doi.org/10.1016/S0307-904X(01)00035-X
  3. Caetano, E., Cunha, A. and Taylor, C.A. (2000a), "Investigation of dynamic cable-deck interaction in a physical model of a cable-stayed bridge. Part I: modal analysis", Earthq. Eng. Structu. D., 29(4), 481-498. https://doi.org/10.1002/(SICI)1096-9845(200004)29:4<481::AID-EQE918>3.0.CO;2-1
  4. Caetano, E., Cunha, A. and Taylor, C.A. (2000b), "Investigation of dynamic cable-deck interaction in a physical model of a cable-stayed bridge. Part II: seismic response", Earthq. Eng. Structu. D., 29(4), 499-521. https://doi.org/10.1002/(SICI)1096-9845(200004)29:4<499::AID-EQE919>3.0.CO;2-A
  5. 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 modelling", Struct. Control Hlth. Monit., 15(3), 237-264. https://doi.org/10.1002/stc.241
  6. Cheng, W.L. (2001), Kao Ping Hsi Bridge, Taiwan Area National Expressway Engineering Bureau, Ministry of Transportation and Communications, Taipei, Taiwan.
  7. Ernst, H.J. (1965), "Der E-modul von Seilen unter Berücksichtigung des Durchhanges", Der Bauingenieur, 40(2), 52-55. (in German)
  8. Fleming, J.F. (1979), "Nonlinear static analysis of cable-stayed bridge structures", Comput. Struct., 10(4), 621-635. https://doi.org/10.1016/0045-7949(79)90006-3
  9. Fujino, Y., Warnitchai, P. and Pacheco, B.M. (1993), "An experimental and analytical study of autoparametric resonance in a 3DOF model of cable-stayed-beam", Nonlin. Dyn., 4(2), 111-138.
  10. 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
  11. 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
  12. Gattulli, V., Lepidi, M., Macdonald, J.H.G. and Taylor, C.A. (2005), "One-to-two global-local interaction in a cable-stayed beam observed through analytical, finite element and experimental models", Int. J. Nonlin. Mech., 40(4), 571-588. https://doi.org/10.1016/j.ijnonlinmec.2004.08.005
  13. Gattulli, V., Morandini, M. and Paolone, A. (2002), "A parametric analytical model for non-linear dynamics in cable-stayed beam", Earthq. Eng. Struct. D., 31(6), 1281-1300. https://doi.org/10.1002/eqe.162
  14. Gimsing, N.J. (1997), Cable Supported Bridges: Concept and Design, Second Edition, John Wiley & Sons, Ltd, Chichester, UK.
  15. Irvine, H.M. (1981), Cable Structures, MIT Press, Cambridge, Massachusetts, USA.
  16. Lilien, J.L. and Pinto da Costa, A. (1994), "Vibration amplitudes caused by parametric excitation of cable stayed structures", J. Sound Vib., 174(1), 69-90. https://doi.org/10.1006/jsvi.1994.1261
  17. Liu, M.Y., Lin, L.C. and Wang, P.H. (2011), "Dynamic characteristics of the Kao Ping Hsi Bridge under seismic loading with focus on cable simulation", Int. J. Struct. Stab. Dyn., 11(6), 1179-1199. https://doi.org/10.1142/S0219455411004531
  18. Liu, M.Y., Zuo, D. and Jones, N.P. (2005), "Deck-induced stay cable vibrations: Field observations and analytical model", Proceedings of the Sixth International Symposium on Cable Dynamics, Charleston, South Carolina, September.
  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(7), 613-622. https://doi.org/10.1061/(ASCE)0733-9399(1996)122:7(613)
  20. 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(5), 1001-1020. https://doi.org/10.1139/l95-116
  21. Wang, P.H. and Yang, C.G. (1996), "Parametric studies on cable-stayed bridges", Comput. Struct., 60(2), 243-260. https://doi.org/10.1016/0045-7949(95)00382-7
  22. Wang, P.H., Lin, H.T. and Tang, T.Y. (2002), "Study on nonlinear analysis of a highly redundant cable-stayed bridge", Comput. Struct., 80(2), 165-182. https://doi.org/10.1016/S0045-7949(01)00166-3
  23. Wang, P.H., Liu, M.Y., Huang, Y.T. and Lin, L.C. (2010), "Influence of lateral motion of cable stays on cablestayed bridges", Struct. Eng. Mech., 34(6), 719-738. https://doi.org/10.12989/sem.2010.34.6.719
  24. Wang, P.H., Tang, T.Y. and Zheng, H.N. (2004), "Analysis of cable-stayed bridges during construction by cantilever methods", Comput. Struct., 82(4-5), 329-346. https://doi.org/10.1016/j.compstruc.2003.11.003
  25. Wang, P.H., Tseng, T.C. and Yang, C.G. (1993), "Initial shape of cable-stayed bridges", Comput. Struct., 46(6), 1095-1106. https://doi.org/10.1016/0045-7949(93)90095-U
  26. Warnitchai, P., Fujino, Y. and Susumpow, T. (1995), "A non-linear dynamic model for cables and its application to a cable-structure system", J. Sound Vib., 187(4), 695-712. https://doi.org/10.1006/jsvi.1995.0553
  27. Warnitchai, P., Fujino, Y., Pacheco, B.M. and Agret, R. (1993), "An experimental study on active tendon control of cable-stayed bridges", Earthq. Eng. Structu. D., 22(2), 93-111. https://doi.org/10.1002/eqe.4290220202

피인용 문헌

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  2. Design analysis of the optimum configuration of self-anchored cable-stayed suspension bridges vol.51, pp.5, 2014, https://doi.org/10.12989/sem.2014.51.5.847