DOI QR코드

DOI QR Code

Estimation of extreme wind pressure coefficient in a zone by multivariate extreme value theory

  • Yang, Qingshan (School of Civil Engineering, Chongqing University) ;
  • Li, Danyu (China Electric Power Research Institute) ;
  • Hui, Yi (School of Civil Engineering, Chongqing University) ;
  • Law, Siu-Seong (School of Civil Engineering, Chongqing University)
  • Received : 2019.09.05
  • Accepted : 2020.03.09
  • Published : 2020.09.25

Abstract

Knowledge on the design value of extreme wind pressure coefficients (EWPC) of a specific zone of buildings is essential for the wind-resistant capacity of claddings. This paper presents a method to estimate the representative EWPC introducing the multivariate extreme value model. The spatial correlations of the extreme wind pressures at different locations can be consider through the multivariate extreme value. The moving average method is also adopted in this method, so that the measured point pressure can be converted to wind pressure of an area. The proposed method is applied to wind tunnel test results of a large flat roof building. Comparison with existing methods shows that it can give a good estimation for all target zones with different sizes.

Keywords

Acknowledgement

The supports provided in part by National Nature Science Foundation of China (51720105005), 111 Project of China (B18062), and Chinese Fundamental Research Funds for the Central Universities (2018CDPTCG0001/7) are greatly acknowledged.

References

  1. Alrawashdeh, H. and Stathopoulos, T. (2015), "Wind pressures on large roofs of low buildings and wind codes and standards", J. Wind Eng. Ind. Aerod., 147, 212-225. https://doi.org/10.1016/j.jweia.2015.09.014.
  2. Chen, X.Z. and Huang, G.Q. (2009), "Estimation of probabilistic extreme wind load effects: Combination of aerodynamic and wind climate data", J. Eng. Mech., 136(6), 747-760. https://doi:10.1061/(asce)em.1943-7889.0000118.
  3. Coles, S.G. and Tawn, J.A. (1991), "Modelling extreme multivariate events", J. Royal Statistical Soc., 53(2), 377-392. https://doi.org/10.1111/j.2517-6161.1991.tb01830.x.
  4. Cook, N.J. (1990), The Designer's Guide to Wind Loading of Building Structures. Vol. 2: Static Structures.
  5. Cook, N.J. and Mayne, J.R. (1979), "A novel working approach to the assessment of wind loads for equivalent static design", J. Ind. Aerod., 4(2), 149-164. https://doi.org/10.1016/0167-6105(79)90043-6.
  6. Davenport, A.G. (1967), "Gust loading factors", J. Struct. Div., ASCE, 93(ST3), 11-34. https://doi.org/10.1061/JSDEAG.0001692
  7. Davenport, A.G., Surry, D. and Stathopoulos, T. (1977a), "Wind loads on low rise buildings: Final report of phases I and II BLWT-SS8-1977", Univ. of Western Ontario, London, Canada.
  8. Davenport, A.G., Surry, D. and Stathopoulos, T. (1977b), "Wind loads on low rise buildings: Final report of phases III BLWTSS8-1977", Univ. of Western Ontario, Ontario, Canada.
  9. Ding, J. and Chen, X. (2014), "Assessment of methods for extreme value analysis of non-gaussian wind effects with shortterm time history samples", Eng. Struct., 80, 75-88. https://doi.org/10.1016/j.engstruct.2014.08.041.
  10. Dong, X. and Ye, J. (2012), "The point and area-averaged wind pressure influenced by conical vortices on saddle roofs", J. Wind Eng. Ind. Aerod., 101, 67-84. https://doi.org/10.1016/j.jweia.2011.12.001.
  11. Durst, C.S. (1960), "Wind speeds over short periods of time", Meteorol. Mag., 89(1056), 181-187.
  12. Galambos, J. and Macri, N. (1999), "Classical extreme value model and prediction of extreme winds", J. Struct. Eng., 125(7), 792-794. https://doi.org/10.1061/(asce)0733-9445(1999)125:7(792).
  13. Greenway, M.E. (1979), "An analytical approach to wind velocity gust factors", J. Wind Eng. Ind. Aerod., 5(1), 61-91. https://doi.org/10.1016/0167-6105(79)90025-4.
  14. Grigoriu, M. (1995), Applied Non-Gaussian Processes, Prentice-Hall.
  15. Gumley, S.J. (1984), "A parametric study of extreme pressures for the static design of canopy structures", J. Wind Eng. Ind. Aerod., 16(1), 43-56. https://doi.org/10.1016/0167-6105(84)90048-5.
  16. Harris, R.I. (2005), "A new direct version of the Cook-Mayne method for wind pressure probabilities in temperate storms", J. Wind Eng. Ind. Aerod., 93(7), 581-600. https://doi.org/10.1016/j.jweia.2005.05.004.
  17. Harris, R.I. (2005), "Generalised Pareto methods for wind extremes. Useful tool or mathematical mirage", J. Wind Eng. Ind. Aerod., 93(5), 341-360. https://doi.org/10.1016/j.jweia.2005.02.004.
  18. Holmes, J.D. (1997), "Equivalent time averaging in wind engineering", J. Wind Eng. Ind. Aerod., 72, 411-419. https://doi.org/10.1016/s0167-6105(97)00266-3.
  19. Holmes, J.D. and Cochran, L.S. (2003), "Probability distributions of extreme pressure coefficients", J. Wind Eng. Ind. Aerod., 91(7), 893-901. https://doi.org/10.1016/s0167-6105(03)00019-9.
  20. Holmes, J.D. and Moriarty, W. (1999), "Application of the generalized pareto distribution to extreme value analysis in wind engineering", J. Wind Eng. Ind. Aerod., 83(1-3), 1-10. https://doi.org/10.1016/s0167-6105(99)00056-2.
  21. Huang, G., Luo, Y., Gurley, K.R. and Ding, J. (2016), "Revisiting moment-based characterization for wind pressures", J. Wind Eng. Ind. Aerod., 151, 158-168. https://doi.org/10.1016/j.jweia.2016.02.006.
  22. Hui, Y., Tamura, Y. and Yang, Q. (2017), "Estimation of extreme wind load on structures and claddings", J. Eng. Mech., 143(9), 04017081. https://doi.org/10.1061/(asce)em.1943-7889.0001304.
  23. Kareem, A. and Cermak, J.E. (1984), "Pressure fluctuations on a square building model in boundary-layer flows", J. Wind Eng. Ind. Aerod., 16(1), 17-41. https://doi.org/10.1016/0167-6105(84)90047-3.
  24. Kareem, A. and Zhao, J. (1994), "Analysis of non-gaussian surge response of tension leg platforms under wind loads", J. Offshore Mech. Arctic Eng., 116(3), 137-144 https://doi.org/10.1115/1.2920142.
  25. Kasperski, M. (2007), "Design wind loads for a low-rise building taking into account directional effects", J. Wind Eng. Ind. Aerod., 95(9-11), 1125-1144. https://doi.org/10.1016/j.jweia.2007.01.019.
  26. Kasperski, M. (2009), "Specification of the design wind load-a critical review of code concepts", J. Wind Eng. Ind. Aerod., 97(7-8), 335-357. https://doi.org/10.1016/j.jweia.2009.05.002.
  27. Kotz, S. and Nadarajah, S. (2000), Extreme Value Distributions. Theory and Applications. Price theory and applications. Prentice Hall.
  28. Lawson, T.V. (1976), "The design of cladding", Build. Environ., 11(1), 37-38. https://doi.org/10.1016/0360-1323(76)90017-2
  29. Lin, J.X. and Surry, D. (1998), "The variation of peak loads with tributary area near corners on flat low building roofs", J. Wind Eng. Ind. Aerod., 77-78(5), 185-196. https://doi.org/10.1016/s0167-6105(98)00142-1.
  30. Peterka, J.A., Hosoya, N., Dodge, S., Cochran, L. and Cermak, J. E. (1998), "Area-average peak pressures in a gable roof vortex region", J. Wind Eng. Ind. Aerod., 77-78(98), 205-215. https://doi.org/10.1016/s0167-6105(98)00144-5.
  31. Sadek, F. and Simiu, E. (2002), "Peak non-gaussian wind effects for database-assisted low-rise building design", J. Eng. Mech., 128(5), 530-539 https://doi.org/10.1061/(asce)0733-9399(2002)128:5(530).
  32. Shi, D.J. (1995a), "Moment estimation for multivariate extreme value distribution", Appl. Mathem., 10(1), 61-68. https://doi.org/10.1007/bf02663895.
  33. Shi, D.J. (1995b), "Multivariate extreme value distribution and its fisher information matrix", Acta Mathematicae Applicatae Sinica, 11(4), 421-428. https://doi.org/10.1007/bf02007180.
  34. Simiu, E. and Heckert, N.A. (1996), "Extreme wind distribution tails: a peaks over threshold approach", J. Struct. Eng., 122(5), 539-547. https://doi.org/10.1061/(asce)0733-9445(1996)122:5(539).
  35. Stathopoulos, T., Surry, D. and Davenport, A.G. (1981), "Effective wind loads on flat roofs", J. Struct. Div., 107(2), 281-298. https://doi.org/10.1061/JSDEAG.0005642
  36. Stathopoulos, T., Wang, K. and Wu, H. (2001), "Wind pressure provisions for gable roofs of intermediate roof slope", Wind Struct., 4(2), 119-130. https://doi.org/10.12989/was.2001.4.2.119.
  37. Uematsu, Y. and Isyumov, N. (1998), "Peak gust pressures acting on the roof and wall edges of a low-rise building", J. Wind Eng. Ind. Aerod., 77-78(5), 217-231. https://doi.org/10.1016/s0167-6105(98)00145-7.
  38. Uematsu, Y. and Isyumov, N. (1999), "Wind pressures acting on low-rise buildings", J. Wind Eng. Ind. Aerod., 82(1-3), 1-25. https://doi.org/10.1016/s0167-6105(99)00036-7.
  39. Yang, Q.S. and Li, D.Y. (2015), "A zoning method for wind pres sures dist r ibut ion on roofs based on K-means clustering", The 14th International Conference on Wind Engineering, Porto Alegre, Brazil, June.