DOI QR코드

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Non-Gaussian features of dynamic wind loads on a long-span roof in boundary layer turbulences with different integral-scales

  • Yang, Xiongwei (Research Centre for Wind Engineering, Southwest Jiaotong University) ;
  • Zhou, Qiang (Research Centre for Wind Engineering, Southwest Jiaotong University) ;
  • Lei, Yongfu (Research Centre for Wind Engineering, Southwest Jiaotong University) ;
  • Yang, Yang (Key Laboratory for Wind Engineering of Sichuan Province, Southwest Jiaotong University) ;
  • Li, Mingshui (Key Laboratory for Wind Engineering of Sichuan Province, Southwest Jiaotong University)
  • 투고 : 2021.12.12
  • 심사 : 2020.04.30
  • 발행 : 2022.05.25

초록

To investigate the non-Gaussian properties of fluctuating wind pressures and the error margin of extreme wind loads on a long-span curved roof with matching and mismatching ratios of turbulence integral scales to depth (Lux/D), a series of synchronized pressure tests on the rigid model of the complex curved roof were conducted. The regions of Gaussian distribution and non-Gaussian distribution were identified by two criteria, which were based on the cumulative probabilities of higher-order statistical moments (skewness and kurtosis coefficients, Sk and Ku) and spatial correlation of fluctuating wind pressures, respectively. Then the characteristics of fluctuating wind-loads in the non-Gaussian region were analyzed in detail in order to understand the effects of turbulence integral-scale. Results showed that the fluctuating pressures with obvious negative-skewness appear in the area near the leading edge, which is categorized as the non-Gaussian region by both two identification criteria. Comparing with those in the wind field with matching Lux/D, the range of non-Gaussian region almost unchanged with a smaller Lux/D, while the non-Gaussian features become more evident, leading to higher values of Sk, Ku and peak factor. On contrary, the values of fluctuating pressures become lower in the wind field with a smaller Lux/D, eventually resulting in underestimation of extreme wind loads. Hence, the matching relationship of turbulence integral scale to depth should be carefully considered as estimating the extreme wind loads of long-span roof by wind tunnel tests.

키워드

과제정보

The research described in this paper was financially supported by the Fundamental Research Funds for Key Laboratory of Wind-Resistant Technology for Bridge Structures (NO. KLWRTBMC18-04), the Natural Science Foundation of China (Grant Nos. 52078437, 51878580 and 52008357) and Sichuan Province Science and Technology Program (No. 2021YJ0075).

참고문헌

  1. Bastos, F., Caetano, E., Cunha. A., Cespedes, X. and Flamand, O. (2018), "Characterization of the wind properties in the Grande Ravine viaduct", J. Wind Eng. Ind. Aerod., 173, 112-131. https://doi.org/10.1016/j.jweia.2017.12.012.
  2. Davenport, G.A. (1964), "Note on the distribution of the largest value of a random function with applications to gust loading", P. I. Civil Eng., 28(2), 187-196. https://doi.org/10.1680/iicep.1964.10112.
  3. D Eaves, D.M. (1978), "A mathematical model of the structure of strong winds", CIRIA Report 76, Const Ind. Research Inf. Assoc.
  4. Ding, J. and Chen, X. (2016), "Moment-based translation model for hardening Non-Gaussian Response processes", J. Eng. Mech., 142(2), 06015006. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000986.
  5. Emes, M.J., Arjomandi, M., Ghanadi, F. and Kelso, R.M. (2017), "Effect of turbulence characteristics in the atmospheric surface layer on the peak wind loads on heliostats in stow position", Sol. Energy., 157, 284-297. https://doi.org/10.1016/j.solener.2017.08.031.
  6. GB50009-2012 (2012), Load Code for the Design of Building Structures, China Building Industry Press, Beijing, China.
  7. Ginger, J.D. and Letchford, C.W. (1993), "Characteristics of large pressures in regions of flow separation", J. Wind Eng. Ind. Aerod., 49, 301-310. https://doi.org/10.1016/0167-6105(93)90025-J.
  8. Gioffre, M. and Gusella, V. (2002), "Damage accumulation in glass plates", J. Eng. Mech., 128(7), 801-805. https://doi.org/10.1061/(ASCE)0733-9399(2002)128:7(801).
  9. Gioffre, M., Gusella, V. and Grigoriu, M. (2001), "Non-Gaussian wind pressure on prismatic buildings. I: Stochastic field", J. Struct. Eng., 127(9), 981-989. https://doi.org/10.1061/(ASCE)0733-9445(2001)127:9(981).
  10. Gioffre, M., Gusella, V. and Grigoriu, M. (2001), "Non-Gaussian wind pressure on prismatic buildings. II: Numerical simulation", J. Struct. Eng., 127(9), 990-995. https://doi.org/10.1061/(ASCE)0733-9445(2001)127:9(990).
  11. Ham, H.J. and Bienkiewicz, B. (2003), "Characteristics of roof peak pressures on model of the TTU test building", Eleventh International Conference on Wind Engineering: Conference Preprints -Vol.1, Lubbock, TX(US).
  12. Hau, E. (2006), Wind Turbines: Fundamentals, Technologies, Application, Economics, IEEE
  13. Holmes, J.D. (1981), "Non-gaussian characteristics of wind pressure fluctuations", J. Wind Eng. Ind. Aerod., 7(1), 103-108. https://doi.org/10.1016/0167-6105(81)90070-2.
  14. Holmes, J.D. (2001), Wind Loading of Structures, Spon Press
  15. 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.
  16. Holscher, N. and Niemann, H.-J. (1998), "Towards quality assurance for wind tunnel tests: A comparative testing program of the Windtechnologische Gesellschaft", J. Wind Eng. Ind. Aerod., 74, 599-608. https://doi.org/10.1016/S0167-6105(98)00054-3.
  17. Huang, G., Ji, X., Zheng, H., Luo, Y., Peng, X. and Yang, Q. (2017), "Uncertainty of peak value of Non-Gaussian wind load effect: Analytical approach", J. Eng. Mech., 14(2), 04017172. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001402.
  18. Huang, M.F., Lou, W., Chan, C.M., Lin, N. and Pan, X. (2013), "Peak distributions and peak factors of wind-induced pressure processes on tall buildings", J. Eng. Mech., 1744-1756. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000616.
  19. Huang, M.F., Lou, W., Pan, X., Chan, C.M. and Li, Q.S. (2013), "Hermite extreme value estimation of Non-Gaussian wind load process on a long-span roof structure", J. Struct. Eng., 140(9), 04014061. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000962.
  20. 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.
  21. Irwin, P.A. (2008), "Bluff body aerodynamics in wind engineering", J. Wind Eng. Ind. Aerod., 96(6), 701-712. https://doi.org/10.1016/j.jweia.2007.06.008.
  22. Jafari, A., Ghanadi, F., Emes, M.J., Arjomandi, M. and Cazzolato, B. (2019), "Measurement of unsteady wind loads in a wind tunnel: Scaling of turbulence spectra", J. Wind Eng. Ind. Aerod., 193, 103955. https://doi.org/10.1016/j.jweia.2019.103955.
  23. Jeong, S.-H. (2004), "Simulation of large wind pressures by gusts on a bluff structure", Wind Struct., 7(5), 333-344. https://doi.org/10.12989/was.2004.7.5.333.
  24. Jiang, L., Li, C.X. and Li, J.H. (2020), "Linear prediction and z transform based CDF mapping simulation algorithm of multivariate non Gaussian fluctuating wind pressure", Wind Struct., 31(6), 549-560. https://doi.org/10.12989/was.2020.31.6.549.
  25. Jubayer, C., Romanic, D. and Hangan, H. (2019), "Aerodynamic loading of a typical low-rise building for an experimental stationary and non-Gaussian impinging jet", Wind Struct., 28(5), 315-329. https://doi.org/10.12989/was.2019.28.5.315.
  26. Kawai, H. (2002), "Local peak pressure and conical vortex on building", J. Wind Eng. Ind. Aerod., 90(4), 251-263. https://doi.org/10.1016/S0167-6105(01)00218-5.
  27. Ke, S., Wang, H. and Ge, Y. (2017), "Non-Gaussian characteristics and extreme distribution of fluctuating wind pressures on large cylindrical-conical steel cooling towers", Struct. Des. Tall Spec., 26(18), e1403. https://doi.org/10.1002/tal.1403.
  28. Ko, N.H., You, K.P. and Kim, Y.M. (2005), "The effect of non-Gaussian local wind pressures on a side face of a square building", J. Wind Eng. Ind. Aerod., 93(5), 383-397. https://doi.org/10.1016/j.jweia.2005.03.001.
  29. Kumar, K.S. and Stathopoulos, T. (1999), "Synthesis of non-Gaussian wind pressure time series on low building roofs", Eng. Struct., 21(12), 1086-1100. https://doi.org/10.1016/S0141-0296(98)00069-8.
  30. Kumar, K.S. and Stathopoulos, T. (2000), "Wind loads on low building roofs: A stochastic perspective", J. Struct. Eng., 126(8), 944-956. https://doi.org/10.1061/(ASCE)0733-9445(2000)126:8(944).
  31. Kwon, D.K. and Kareem, A. (2011), "Peak factors for Non-Gaussian load effects revisited", J. Struct. Eng., 137(12), 1611-1619. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000412.
  32. Letchford, C. and Ginger, J. (1992), "Wind loads on planar canopy roofs-Part 1: Mean pressure distributions", J. Wind Eng. Ind. Aerod., 45(1), 25-45. https://doi.org/10.1016/0167-6105(92)90004-T.
  33. Li, Q.S., Zhi, L., Fei, H. (2009), "Field monitoring of boundary layer wind characteristics in urban area", Wind Struct., 12(6), 553-574. https://doi.org/10.12989/was.2009.12.6.553.
  34. Lorendo-Souza, A.M., Wittwer, A.R., Castro, H.G., Vallis, M.B., (2017), "Characteristics of Zonda wind in South American Andes", Wind Struct., 24(6), 657-677. https://doi.org/10.12989/was.2017.24.6.657.
  35. Li, Q., Hu, S., Dai, Y. and He, Y. (2012), "Field measurements of extreme pressures on a flat roof of a low-rise building during typhoons", J. Wind Eng. Ind. Aerod., 111 14-29. https://doi.org/10.1016/j.jweia.2012.08.003.
  36. Li, M.S., Yang, Y., Li, M. and Liao, H.L. (2018), "Direct measurement of the Sears function in turbulent flow", J. Fliud Mech., 847, 768-785. https://doi.org/10.1017/jfm.2018.351.
  37. Li, Y.G., Yan, J.H., Chen, X.Z., Li, Q.H. and Li, Y. (2020a), "Investigation of surface pressures on CAARC tall building concerning effects of turbulence", Wind Struct., 31(4), 287-298. https://doi.org/10.12989/was.2020.31.4.287.
  38. Li, M.S., Li, M. and Yang, Y. (2020b), "Strategy for the determination of unsteady aerodynamic forces on elongated bodies in grid-generated turbulent flow", Exp. Therm. Fluid., 110, 109939. https://doi.org/10.1016/j.expthermflusci.2019.109939.
  39. Li, Y.X., Bai, S., Yang, Q.S. and Tian, Y.J. (2019), "Experiment study on non-Gaussian distribution of fluctuating wind load on long-span enclosed cylindrical shell roof", J. Build. Struct., 40(07), 62-69. https://doi.org/10.14006/j.jzjgxb.2018.0002.
  40. Li, S.P., Liu, Y.L., Li, M., Zeng, W.Y., Gu, S.T. and Gao, Y. (2022), "The effect of turbulence intensity on the unsteady gust loading on a 5:1 rectangular cylinder", J. Wind Eng. Ind. Aerod., 225, 104994. https://doi.org/10.1016/j.jweia.2022.104994.
  41. Manwell, J.F., Mcgowan, J.G. and Rogers, A.L. (2009), "Wind energy explained: Theory, Design and Application", Wind Engineering.
  42. Peng, X., Yang, L., Gavanski, E., Gurley, K. and Prevatt, D. (2014), "A comparison of methods to estimate peak wind loads on buildings", J. Wind Eng. Ind. Aerod., 126, 11-23. https://doi.org/10.1016/j.jweia.2013.12.013.
  43. Quan, Y., Wang, F. and Gu, M. (2014), "A method for estimation of extreme values of wind pressure on buildings based on the generalized extreme-value theory", Math. Probl. Eng., 2014(6), 926253. https://doi.org/10.1155/2014/926253.
  44. Sadek, F. and Simiu (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).
  45. Song, J., Xu, W., Hu, G., Liang, S. and Tan, J. (2019), "Non-Gaussian properties and their effects on extreme values of wind pressure on the roof of long-span structures", J. Wind Eng. Ind. Aerod., 184, 106-115. https://doi.org/10.1016/j.jweia.2018.11.027.
  46. Stathopoulos, T. and Surry, D. (1983), "Scale effects in wind tunnel testing of low buildings", J. Wind Eng. Ind. Aerod., 13(1-3), 313-326. https://doi.org/10.1016/0167-6105(83)90152-6.
  47. Stathopoulos, T., Zisis, I. and Xypnitou, E. (2012), "Wind loads on solar collectors: a review", Structures Congress.
  48. Sun, H. and Ye, J. (2016), "3-D characteristics of conical vortex around large-span flat roof by PIV technique", Wind Struct., 22(6), 663-684. https://doi.org/10.12989/was.2016.22.6.663.
  49. Sun, Y., Wu, Y., Lin, Z. and Shen, S. (2007), "Non-Gaussian features of fluctuating wind pressures on long span roofs", China Civil Eng. J., 4, 1-5+12. https://doi.org/10.15951/j.tmgcxb.2007.04.001.
  50. Tamura, Y. and Cao, S. (2012), "International group for wind-related disaster risk reduction (IG-WRDRR)", J. Wind Eng. Ind. Aerod., 104-106, 3-11. https://doi.org/10.1016/j.jweia.2012.02.016.
  51. Tieleman, H.W., Ge, Z. and Hajj, M.R. (2007), "Theoretically estimated peak wind loads", J. Wind Eng. Ind. Aerod., 95(2), 113-132. https://doi.org/10.1016/j.jweia.2006.05.004.
  52. Winterstein and Steven, R. (1985), "Non-normal responses and fatigue damage", J. Eng. Mech., 111(10), 1291-1295. https://doi.org/10.1061/(ASCE)0733-9399(1985)111:10(1291).
  53. Xiang, C., Chen, A.R., Li, Q.H. and Ma, R.J. (2021), "Research on the probability model of basic wind speed estimation in China", Wind Struct., 32(6), 587-596. https://doi.org/10.12989/was.2021.32.6.587.
  54. Yang, Q. and Tian, Y. (2015), "A model of probability density function of non-Gaussian wind pressure with multiple samples", J. Wind Eng. Ind. Aerod., 140, 67-78. https://doi.org/10.1016/j.jweia.2014.11.005.
  55. Yang, X., Yang, Y., Li, M. and Wang, P. (2021), "Effects of freestream turbulence on non-Gaussian characteristics of fluctuating wind pressures on a 5: 1 rectangular cylinder", J. Wind Eng. Ind. Aerod., 217, 104759. https://doi.org/10.1016/j.jweia.2021.104759.
  56. Ying, Z. and Miao, S. (2020), "Influence of non-Gaussian characteristics of wind load on fatigue damage of wind turbine", Wind Struct., 31(3), 217-227. https://doi.org/10.12989/was.2020.31.3.217.
  57. Zhao, L. and Ge, Y.J. (2010), "Wind loading characteristics of super-large cooling towers", Wind Struct., 13(3), 257-273. https://doi.org/10.12989/was.2010.13.3.257.