Wind and Structures

  • 제7권6호
  • /
  • Pages.421-447
  • /
  • 2004
  • /
  • 1226-6116(pISSN)
  • /
  • 1598-6225(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Time domain buffeting analysis of long suspension bridges under skew winds

  • Liu, G. (Department of Civil and Structural Engineering, The Hong Kong Polytechnic University) ;
  • Xu, Y.L. (Department of Civil and Structural Engineering, The Hong Kong Polytechnic University) ;
  • Zhu, L.D. (State Key Laboratory for Disaster Reduction in Civil Engineering and Department of Bridge Engineering, Tongji University)
  • 투고 : 2003.07.30
  • 심사 : 2004.09.23
  • 발행 : 2004.12.25
⟨ 이전 논문 다음 논문 ⟩

초록

This paper presents a time domain approach for predicting buffeting response of long suspension bridges under skew winds. The buffeting forces on an oblique strip of the bridge deck in the mean wind direction are derived in terms of aerodynamic coefficients measured under skew winds and equivalent fluctuating wind velocities with aerodynamic impulse functions included. The time histories of equivalent fluctuating wind velocities and then buffeting forces along the bridge deck are simulated using the spectral representation method based on the Gaussian distribution assumption. The self-excited forces on an oblique strip of the bridge deck are represented by the convolution integrals involving aerodynamic impulse functions and structural motions. The aerodynamic impulse functions of self-excited forces are derived from experimentally measured flutter derivatives under skew winds using rational function approximations. The governing equation of motion of a long suspension bridge under skew winds is established using the finite element method and solved using the Newmark numerical method. The proposed time domain approach is finally applied to the Tsing Ma suspension bridge in Hong Kong. The computed buffeting responses of the bridge under skew winds during Typhoon Sam are compared with those obtained from the frequency domain approach and the field measurement. The comparisons are found satisfactory for the bridge response in the main span.

키워드

참고문헌

  1. Bathe, K.J. (1982), Finite Element Procedures in Engineering Analysis, Prentice-Hall, Englewood Cliffs, N.J.
  2. 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)
  3. Chen, X.Z., Matsumoto, M. and Kareem, A. (2000a), "Aerodynamic coupling effects on flutter and buffeting ofbridges", J. Eng. Mech., ASCE, 126(1), 17-26. https://doi.org/10.1061/(ASCE)0733-9399(2000)126:1(17)
  4. Chen, X.Z., Matsumoto, M. and Kareem, A. (2000b), "Time domain flutter and buffeting response analysis ofbridges", J. Eng. Mech., ASCE, 126(1), 7-16. https://doi.org/10.1061/(ASCE)0733-9399(2000)126:1(7)
  5. Davenport, A.G. (1962), "Buffeting of a suspension bridge by storm winds", J. Struct. Div., ASCE, 88(ST3),233-268.
  6. Deodatis, G. (1996), "Simulation of ergodic multivariate stochastic process", J. Eng. Mech., ASCE, 122(8), 778-787. https://doi.org/10.1061/(ASCE)0733-9399(1996)122:8(778)
  7. Holmes, J.D. (2001), Wind Loading of Structures, Spon Press, London.
  8. Jain, 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)
  9. Kimura, K. and Tanaka, H. (1992), "Bridge buffeting due to wind with yaw angles", J. Wind Eng. Ind. Aerodyn.,41-44, 1309-1320.
  10. Lau, C.K., Wong, K.Y. and Chan, K.W.Y. (1998), "Preliminary monitoring results of Tsing Ma Bridge", The14th Nat. Conf. on Bridge Eng., Shanghai, 2, 730-740.
  11. Scanlan, R.H. (1978), "The action of flexible bridges under wind. Part 2: Buffeting theory", J. Sound Vib., 60(2),201-211. https://doi.org/10.1016/S0022-460X(78)80029-7
  12. Scanlan, R.H. and Jones, N.P. (1990), "Aeroelastic analysis of cable-stayed bridges", J. Struct. Eng., ASCE,116(2), 279-297. https://doi.org/10.1061/(ASCE)0733-9445(1990)116:2(279)
  13. Shinozuka, M. and Deodatis, G. (1991), "Simulation of stochastic processes by spectral representation", Appl.Mech. Rev., 44(4), 191-203. https://doi.org/10.1115/1.3119501
  14. Xiang, H.F., Liu, C.H. and Gu, M. (1995), "Time-domain analysis for coupled buffeting response of long spanbridge", Proc. of the 9th ICWE, Wiley Eastern Limited, New Delhi, 881-892.
  15. Xu, Y.L., Ko, J.M. and Zhang W.S. (1997), "Vibration studies of Tsing Ma suspension bridge", J. Bridge Eng.,ASCE, 2(4), 149-156. https://doi.org/10.1061/(ASCE)1084-0702(1997)2:4(149)
  16. Xu, Y.L., Sun, D.K., Ko, J.M. and Lin, J.H. (1998), "Buffeting analysis of long span bridges: a new algorithm",Comput. Struct., 68, 303-313. https://doi.org/10.1016/S0045-7949(98)00072-8
  17. Xu, Y.L., Zhu, L.D., Wang, K.Y. and Chan, K.W.Y. (2000), "Field measurement results of Tsing Ma suspensionbridge during Typhoon Victor", J. Struct. Eng. Mech., 10(6), 454-559.
  18. Xu, Y.L., Zhu, L.D. and Xiang, H.F. (2003), "Buffeting response of long suspension bridges to skew winds",Wind & Struct., An Int. J., 6(3), 179-196. https://doi.org/10.1296/WAS2003.06.03.01
  19. Zhu, L.D. (2002a), "Buffeting response of long span cable-supported bridges under skew winds: fieldmeasurement and analysis", PhD Dissertation, the Hong Kong Polytechnic University, Hong Kong.
  20. Zhu, L.D., Xu, Y.L., Zhang, F. and Xiang, H.F. (2002b), "Tsing Ma bridge deck under skew winds-Part I:Aerodynamic coefficients", J. Wind Eng. Ind. Aerodyn., 90, 781-805. https://doi.org/10.1016/S0167-6105(02)00160-5
  21. Zhu, L.D., Xu, Y.L. and Xiang, H.F. (2002c), "Tsing Ma bridge deck under skew winds - Part II: flutterderivatives", J. Wind Eng. Ind. Aerodyn., 90, 807-837. https://doi.org/10.1016/S0167-6105(02)00159-9

피인용 문헌

  1. Scheme and application of phase delay spectrum towards spatial stochastic wind fields vol.16, pp.5, 2013, https://doi.org/10.12989/was.2013.16.5.433
  2. Making good use of structural health monitoring systems of long-span cable-supported bridges vol.8, pp.3, 2018, https://doi.org/10.1007/s13349-018-0279-2
  3. Buffeting-induced stresses in a long suspension bridge: structural health monitoring oriented stress analysis vol.12, pp.6, 2004, https://doi.org/10.12989/was.2009.12.6.479