Wind and Structures

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Stationary and non-stationary buffeting analyses of a long-span bridge under typhoon winds

  • Tao, Tianyou (Key Laboratory of C&PC Structures of Ministry of Education, Southeast University) ;
  • Wang, Hao (Key Laboratory of C&PC Structures of Ministry of Education, Southeast University) ;
  • Shi, Peng (School of Civil Engineering, Southeast University) ;
  • Li, Hang (School of Civil Engineering, Southeast University)
  • Received : 2020.03.11
  • Accepted : 2020.11.21
  • Published : 2020.11.25
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Abstract

The buffeting response is a vital consideration for long-span bridges in typhoon-prone areas. In the conventional analysis, the turbulence and structural vibrations are assumed as stationary processes, which are, however, inconsistent with the non-stationary features observed in typhoon winds. This poses a question on how the stationary assumption would affect the evaluation of buffeting responses under non-stationary wind actions in nature. To figure out this problem, this paper presents a comparative study on buffeting responses of a long-span cable-stayed bridge based on stationary and non-stationary perspectives. The stationary and non-stationary buffeting analysis frameworks are firstly reviewed. Then, a modal analysis of the example bridge, Sutong Cable-stayed Bridge (SCB), is conducted, and stationary and non-stationary spectral models are derived based on measured typhoon winds. On this condition, the buffeting responses of SCB are finally analyzed by following stationary and non-stationary approaches. Although the stationary results are almost identical with the non-stationary results in the mean sense, the root-mean-square value of buffeting responses are underestimated by the stationary assumption as the time-varying features existing in the spectra of turbulence are neglected. The analytical results highlights a transition from stationarity to non-stationarity in the buffeting analysis of long-span bridges.

Keywords

Acknowledgement

The authors would like to acknowledge the financial supports from the Natural Science Foundation of Jiangsu Province (Grant No. BK20190359), the National Natural Science Foundation of China (Grant No. 51908125, 51722804), and the Supporting Project for Young Talents of Science and Technology by JSAST.

References

  1. Chen, A.R. (2004), "Study on wind-resistant performance of Sutong Yangtze River Highway Bridge", Research Report No. WT-2004003, State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji University, Shanghai, China
  2. Chen, X.Z. (2015), "Analysis of multimode coupled buffeting response of long-span bridges to nonstationary winds with force parameters from stationary wind", J. Struct. Eng., 141(4), 04014131. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001078.
  3. Cheynet, E., Jakobsen, J.B. and Snæbjornsson, J. (2016), "Buffeting response of a suspension bridge in complex terrain", Eng. Struct., 128, 474-487. https://doi.org/10.1016/j.engstruct.2016.09.060.
  4. Chen, X.Z. and Kareem, A. (2006), "Revisiting multimode coupled bridge flutter: some new insights", J. Eng. Mech., 132(10), 1115-1123. https://doi.org/10.1061/(ASCE)0733-9399(2006)132:10(1115).
  5. Chen, X.Z., Matsumoto, M. and Kareem, A. (2000), "Time domain flutter and buffeting response analysis of bridges", J. Eng. Mech., 126(1), 7-16. https://doi.org/10.1061/(ASCE)0733-9399(2000)126:1(7).
  6. Chen, Z.W., Xu, Y.L., Li, Q. and Wu, D.J. (2011), "Dynamic stress analysis of long suspension bridges under wind, railway, and highway loadings", J. Bridge Eng., 16, 383-391. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000216.
  7. Davenport, A.G. (1961), A statistical approach to the treatment of wind loading on tall masts and suspension bridges, Ph.D. Dissertation, Univ. of Bristol, Bristol, U.K.
  8. Ding, Q.S., Chen, A.R. and Xiang, H.F. (2002), "Coupled buffeting response analysis of long-span bridges by the CQC approach", Struct. Eng. Mech., 14(5), 505-520. https://doi.org/10.12989/sem.2002.14.5.505.
  9. Fenerci, A., and Oiseth, O. (2017), "Measured buffeting response of a long-span suspension bridge compared with numerical predictions based on design wind spectra", J. Struct. Eng., 143(9), 04017131. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001873.
  10. Hao, J.M. and Wu T. (2017), "Nonsynoptic wind-induced transient effects on linear bridge aerodynamics", J. Eng. Mech., 143(9), 04017092. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001313.
  11. Hu, L., Xu, Y.L. and Huang, W.F. (2013), "Typhoon-induced nonstationary buffeting response of long-span bridges in complex terrain", Eng. Struct., 57, 406-415. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001745.
  12. Hu, L. and Xu, Y.L. (2014), "Extreme value of typhoon-induced non-stationary buffeting response of long-span bridges", Prob. Eng. Mech., 36, 19-27. https://doi.org/10.1016/j.probengmech.2014.02.002
  13. Hu, L., Xu, Y.L., Zhu, Q., Guo, A.N. and Kareem, A. (2017), "Tropical storm-induced buffeting response of long-span bridges: enhanced nonstationary buffeting force model", J. Struct. Eng., 143(6), 04017027. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001745.
  14. Hua, X.G., Xu, K., Wang, Y.Q., Wen, Q. and Chen, Z.Q. (2020), "Wind-induced responses and dynamic characteristics of a super-tall building under a typhoon event", Smart Struct. Syst., 25(1), 81-96. https://doi.org/10.12989/sss.2020.25.1.081.
  15. Hui, Y., Li, B., Kawai, H. and Yang, Q. S. (2017), "Non-stationary and non-Gaussian characteristics of wind speeds", Wind Struct., 24(1), 59-78. https://doi.org/10.12989/was.2017.24.1.059.
  16. Huang, M.F., Li, Q., Xu, H.W., Lou, W.J. and Lin, N. (2018), "Non-stationary statistical modeling of extreme wind speed series with exposure correction", Wind Struct., 26(3), 129-146. https://doi.org/10.12989/was.2018.26.3.129.
  17. Isyumov, N. (2012), "Alan G. Davenport's mark on wind engineering", J. Wind Eng. Ind. Aerod., 104, 49-66. https://doi.org/10.1016/j.jweia.2012.02.007.
  18. Kareem, A., Hu, L., Guo, Y.L., and Kwon, D.K. (2019), "Generalized wind loading chain: time-frequency modeling framework for nonstationary wind effects on structures", J. Struct. Eng., 145(10), 04019092. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002376.
  19. Kavrakov, I. and Morgenthal, G. (2017), "A comparative assessment of aerodynamic models for buffeting and flutter of long-span bridges", Eng., 3(6), 823-838. https://doi.org/10.1016/j.eng.2017.11.008.
  20. Larsen, A. and Larose, G.L. (2015), "Dynamic wind effects on suspension and cable-stayed bridges", J. Sound Vib., 334, 2-28. https://doi.org/10.1016/j.jsv.2014.06.009.
  21. Lin, J.H. (2004), Pseudo Excitation Method in Random Vibration, Science Press, Beijing, China.
  22. Li, J.W., Shen, Z.F., Xing, S. and Gao, G.Z. (2020), "Buffeting response of a free-standing bridge pylon in a trumpet-shaped mountain pass", Wind Struct., 30(1), 85-97. https://doi.org/10.12989/was.2020.30.1.085.
  23. Montoya, M.C., Hernandez, S., Nieto, F. and Kareem, A. (2020), "Aero-structural design of bridges focusing on the buffeting response: formulation, parametric studies and deck shape tailoring", J. Wind Eng. Ind. Aerody., 204, 104243. https://doi.org/10.1016/j.jweia.2020.104243.
  24. Peng, L.L., Huang, G.Q., Chen, X.Z. and Yang, Q.S. (2018), "Evolutionary spectra-based time-varying coherence function and application in structural response analysis to downburst winds", J. Struct. Eng., 144(7), 04018078. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002066.
  25. Priestly, M.B. (1965), "Evolutionary spectra and non-stationary processes", J. R. Stat. Soc. B, 27(2), 204-237. https://doi.org/10.1111/j.2517-6161.1965.tb01488.x.
  26. Scanlan, R.H. (1978a), "Action of flexible bridges under wind, I: flutter theory", J. Sound Vib., 60(2), 187-199. https://doi.org/10.1016/S0022-460X(78)80028-5.
  27. Scanlan, R.H. (1978b), "Action of flexible bridges under wind, II. Buffeting theory", J. Sound Vib., 60(2), 201-211. https://doi.org/10.1016/S0022-460X(78)80029-7.
  28. Scanlan, R.H. (1984), "Role of indicial functions in buffeting analysis of bridges", J. Struct. Eng., 110(7), 1433-1446. https://doi.org/10.1061/(ASCE)0733-9445(1984)110:7(1433).
  29. Siedziako, B. and Oiseth, O. (2019), "Superposition principle in bridge aerodynamics: modelling of self-excited forces for bridge decks in random vibrations", Eng. Struct., 179, 52-65. https://doi.org/10.1016/j.engstruct.2018.10.072.
  30. Simiu E. and Scanlan R.H. (1996), Wind Effects on Structures: Fundamentals and Applications to Design. John Wiley & Sons, Inc., New York, NY, U.S.A.
  31. Tao, T.Y. and Wang, H. (2019), "Modelling of longitudinal evolutionary power spectral density of typhoon winds considering high-frequency subrange", J. Wind Eng. Ind. Aerod., 193, 103957. https://doi.org/10.1016/j.jweia.2019.103957.
  32. Tao, T.Y., Wang, H. and Wu, T. (2017), "Comparative study of the wind characteristics of a strong wind event based on stationary and nonstationary models", J. Struct. Eng., 143(5), 04016230. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001725.
  33. Tao, T.Y., Wang, H. and Wu, T. (2018), "Parametric study on buffeting performance of a long-span triple-tower suspension bridge", Struct. Infra. Eng., 14(3), 381-399. https://doi.org/10.1080/15732479.2017.1354034.
  34. Tao, T.Y., Wang, H. and Zhao, K.Y. (2021). "Efficient simulation of fully non-stationary random wind field based on reduced 2D hermite interpolation", Mech. Syst. Signal Process., 150, 107265. https://doi.org/10.1016/j.ymssp.2020.107265.
  35. Tubino, F. and Solari, G. (2007), "Gust buffeting of long-span bridges: double modal transformation and effective turbulence", Eng. Struct., 29(8), 1698-1707. https://doi.org/10.1016/j.engstruct.2006.09.019.
  36. Tao, T.Y., Shi, P. and Wang, H. (2020a). "Spectral modelling of typhoon winds considering nexus between longitudinal and lateral components", Renew. Energy, 162, 2019-2030. https://doi.org/10.1016/j.renene.2020.09.130.
  37. Tao, T.Y., Xu, Y.L., Huang, Z.F., Zhan, S. and Wang, H. (2020b). "Buffeting analysis of long-span bridges under typhoon winds with time-varying spectra and coherences", J. Struct. Eng., 146(12), 04020255. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002835.
  38. Weber, F. and Distl, H. (2015), "Amplitude and frequency independent cable damping of Sutong Bridge and Russky Bridge by magnetorheological dampers", Struct. Control Health Monnit., 22, 237-254. https://doi.org/10.1002/stc.1671.
  39. Wang, H., Hu, R.M., Xie, J. and Tong, T. (2013), "Comparative study on buffeting performance of Sutong Bridge based on design and measured spectrum", J. Bridge Eng., 18(7), 587-600. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000394.
  40. Wang, L. and Kareem, A. (2004), "Modeling of non-stationary winds in gust-fronts", The 9th ASCE Joint Specialty Conference on Probabilistic Mechanics and Structural Reliability, Reston, U.S.A., July.
  41. Wang, H., Tao, T.Y., Li, A.Q. and Zhang, Y. F. (2016), "Structural health monitoring system for Sutong Cable-stayed Bridge", Smart Struct. Sys., 18(2), 317-334. https://doi.org/10.12989/sss.2016.18.2.317.
  42. Wang, H., Tao, T.Y., Gao, Y.Q. and Xu, F.Y. (2018), "Measurement of wind effects on a kilometer-level cable-stayed bridge during Typhoon Haikui", J. Struct. Eng., 144(9), 04018142. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002138.
  43. Wang, H., Wu, T., Tao, T.Y., Li, A.Q. and Kareem, A. (2016), "Measurements and analysis of non-stationary wind characteristics at Sutong bridge in Typhoon Damrey", J. Wind Eng. Ind. Aerod., 151, 100-106. https://doi.org/10.1016/j.jweia.2016.02.001.
  44. Wang, J.C., Quan, Y. and Gu, M. (2020), "Assessment of the directional extreme wind speeds of typhoons via the Copula function and Monte Carlo simulation", Wind Struct., 30(2), 141-153. https://doi.org/10.12989/was.2020.30.2.141.
  45. Wu, T. and Kareem, A. (2014), "Revisiting convolution scheme in bridge aerodynamics: comparison of step and impulse response functions", J. Eng. Mech., 140(5), 04014008. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000709.
  46. Xu, Y.L. (2013), Wind Effects on Cable-Supported Bridges, John Wiley & Sons, Singapore.
  47. Xu, Y.L. and Chen, J. (2004), "Characterizing nonstationary wind speed using empirical mode decomposition", J. Struct. Eng., 130(6), 912-920. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:6(912).
  48. Xu, Y.L., Tan, Z.X., Zhu, L.D., Zhu, Q. and Zhan, S. (2019), "Buffeting-induced stress analysis of long-span twin-box-beck bridges based on POD pressure modes", J. Wind Eng. Ind. Aerod., 188, 397-409. https://doi.org/10.1016/j.jweia.2019.03.016.
  49. Zhou, Q., Zhu, L.D., Zhao, C.L. and Ren, P.J. (2020), "Investigation on spanwise coherence of buffeting forces acting on bridges with bluff body decks", Wind Struct., 30(2), 181-198. https://doi.org/10.12989/was.2020.30.2.181.
  50. 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.

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