Simulation of &ldquo;incompatible&rdquo; non-Gaussian wind pressures based on a moment-based translation function model

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Journal of Vibration and Shock ›› 2022, Vol. 41 ›› Issue (24) : 142-149.

Simulation of “incompatible” non-Gaussian wind pressures based on a moment-based translation function model

WU Fengbo1，JIANG Yan2，PENG Liuliu3，WU Bo1，LUO Ying4

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Abstract

Accurate simulation of the non-Gaussian wind pressure is very important for wind-resistant design of building structures. Due to its simplicity, moment-based Hermite polynomial model (HPM) and Johnson transformation model (JTM) are widely used for the non-Gaussian wind pressure simulation. In the actual simulation, the probability distribution represented by the two models may be "incompatible" with the power spectrum of the target non-Gaussian wind pressure. Currently, the difficulty of the incompatibility involved in the two models and the performances of the two models in the simulation of the "incompatible" non-Gaussian wind pressure are unclear. Thus, this study systematically studies the degree of difficulty of incompatibility occurs in HPM and JTM, and the performances of the two models in the simulation for "incompatible" non-Gaussian wind pressure. Firstly, the method of simulating "incompatible" non-Gaussian wind pressure based on HPM and JTM is introduced; secondly, the similarities and differences of the incompatibility between the two models are theoretically compared; finally, the performances of simulating the incompatible non-Gaussian wind pressures by the two models were systematically evaluated and compared using a series of numerical cases. Results showed that non-Gaussian simulations based on HPM and JTM are more likely to be incompatible as the skewness increases; the performance of JTM in the "incompatible" non-Gaussian processes simulation is slightly better than that of HPM.

Key words

Structural wind engineering / Simulation of the non-Gaussian wind pressures / Hermite polynomial model / Johnson transformation model / Incompatible non-Gaussian wind pressures.

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WU Fengbo1，JIANG Yan2，PENG Liuliu3，WU Bo1，LUO Ying4. Simulation of “incompatible” non-Gaussian wind pressures based on a moment-based translation function model[J]. Journal of Vibration and Shock, 2022, 41(24): 142-149

References

[1] Kumar, K.S. and Stathopoulos, T. Wind loads on low building roofs: A stochastic perspective [J]. Journal of Structure Engineering, 2000, 126(8), 944–956.
[2] 夏俞超，陈水福. 复杂屋盖结构表面风压的非高斯特性研究[J]. 振动与冲击, 2019, 38(2): 123-130.
XIA Yuchao，CHEN Shuifu. Non-Gaussian characteristics of the wind pressure on a roof with irregular shape[J]. Journal of Vibration and Shock, 2019, 38(2): 123-130.
[3] 陈伏彬，唐宾芳，蔡虬瑞，李秋胜. 大跨平屋盖风荷载特性及风压预测研究[J]. 振动与冲击, 2021, 40(3): 226-232.
CHEN Fubin, TANG Binfang, CAI Qiurui, LI Qiusheng. Wind load characteristics and wind pressure prediction of long-span flat roof[J]. Journal of Vibration and Shock, 2021, 40(3): 226-232.
[4] Gurley K R, Tognarelli M A, Kareem A. Analysis and simulation tools for wind engineering[J]. Probabilistic Engineering Mechanics, 1997, 12(1):9-31.
[5] Popescu R, Deodatis G, Prevost J. Simulation of homogenous non-Gaussian stochastic vector fields[J]. Probabilistic Engineering Mechanics, 1998，13:1–13.
[6] Grigoriu M. Simulation of Stationary Non-Gaussian Translation Processes[J]. Journal of Engineering Mechanics, 1998, 124(2):121-126.
[7] Gioffre M, Gusella V, Grigoriu M. Simulation of non-Gaussian field applied to wind pressure fluctuations[J]. Probabilistic Engineering Mechanics, 2000, 15(4):339-345.
[8] Winerstein, S. R. Nonlinear Vibration Models for Extremes and Fatigue[J]. Journal of Engineering Mechanics, 1988, 114(10):1772-1790.
[9] Gong K, Chen X. Influence of non-Gaussian wind characteristics on wind turbine extreme response[J]. Engineering Structures, 2014, 59(2):727-744.
[10] 吴凤波，黄国庆，刘敏，彭留留. 非高斯风压极值估计：基于矩的转换过程法的抽样误差对比研究[J]. 振动与冲击, 2020, 39(18): 20-26.
WU Fengbo，HUANG Guoqing，LIU Min，PENG Liuliu. Extremes estimation of non-Gaussian wind pressures: a comparative study on sampling errors based on a moment-based translation process model[J]. Journal of Vibration and Shock, 2020, 39(18): 20-26.
[11] Johnson N L. Systems of frequency curves generated by methods of translation[J]. Biometrika, 1949(1-2):1-2.
[12] Wu F, Huang G, Liu M. Simulation and Peak Value Estimation of Non-Gaussian Wind Pressures Based on Johnson Transformation Model[J]. Journal of Engineering Mechanics, 2019, 146(1).
[13] Winterstein, S. R; Kashef, T. Moment-Based Load and Response Models With Wind Engineering Applications[J]. Journal of Solar Energy Engineering, 2000, 122(3):122-128.
[14] Ding, J., Chen, X. Moment-based translation model for hardening non-Gaussian response processes[J]. Journal of Engineering Mechanics, 2015, 14(2):06015006.
[15] Shinozuka M, Deodatis G. Simulation of Stochastic Processes by Spectral Representation[J]. Applied Mechanics Reviews, 1991, 44(4):191.
[16] Shields, M. D., Deodatis, G., and Bocchini, P. A simple and efficient methodology to approximate a general non-Gaussian stationary stochastic process by a translation process[J]. Probabilistic Engineering Mechanics, 2011, 26(4):511-519.
[17] Peng, L., Liu, M., Yang, Q., Huang, G., and Chen, B. An analytical formula for gaussian to non-gaussian correlation relationship by moment-based piecewise Hermite polynomial model with application in wind engineering[J]. Journal of Wind Engineering and Industrial Aerodynamics, 2020, 198, 104094