基于演化相位谱的脉动风速模拟
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摘要
基于理性分析,提出了一种演化相位谱模型,并由此发展了脉动风速模拟方法。根据湍流中不同频率涡旋的特征速度,提出了相位演化速度这一概念,进而说明具体的风速时程可由所有初始相位为零的涡旋经过时间Te演化而来。通过对实测脉动风速Te值的识别和统计,给出了Te的概率分布。据此,可以得到演化相位谱的样本,结合Fourier幅值谱,应用逆Fourier变换便可进行脉动风速模拟。所建立的演化相位谱模型是对Fourier相位谱的一种理性描述,可用于各种结构抗风计算及可靠度分析的风荷载模拟当中。
Based on rational analysis,an evolutionary-phase-spectrum model which can be used in fluctuating wind speed simulation was proposed.According to the characteristic speed of eddies with different frequencies in turbulence,the concept of phase-evolving speed was put forward.Afterwards,it was illustrated that real wind speed history can be regarded as the evolutionary results of eddies with initial phases of zero after an evolutionary time Te.The probability distribution of Te was calculated through statistics of the identified values from measured fluctuating wind speed histories.Then,samples of evolutionary-phase-spectrum were acquired and combining.With Fourier amplitude spectrum,fluctuating wind speed was obtained through inverse Fourier transform.The evolutionary-phase-spectrum model is a rational description of Fourier phase spectrum and is recommended to be used in wind load simulation in wind-resistance calculation and reliability analysis of structures.
Based on rational analysis,an evolutionary-phase-spectrum model which can be used in fluctuating wind speed simulation was proposed.According to the characteristic speed of eddies with different frequencies in turbulence,the concept of phase-evolving speed was put forward.Afterwards,it was illustrated that real wind speed history can be regarded as the evolutionary results of eddies with initial phases of zero after an evolutionary time Te.The probability distribution of Te was calculated through statistics of the identified values from measured fluctuating wind speed histories.Then,samples of evolutionary-phase-spectrum were acquired and combining.With Fourier amplitude spectrum,fluctuating wind speed was obtained through inverse Fourier transform.The evolutionary-phase-spectrum model is a rational description of Fourier phase spectrum and is recommended to be used in wind load simulation in wind-resistance calculation and reliability analysis of structures.
引文
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[16]李杰,阎启,谢强,等.台风“韦帕”风场实测及风致输电塔振动响应[J].建筑科学与工程学报,2009,26(2):1-8.
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[20]Sobezyk K,Trebicki J.Maximum entropy principle instochastic dynamics[J].Probabilistic EngineeringMechanics,1990,5(3):102-110.
[2]Rice S O.Mathematical analysis of random noise[C].InSelected Papers on Noise and Stochastic Processes,edited byN.Wax.Dover.1954:133-294.
[3]Shinozuka M.Simulation of multivariate and multidimensionalrandom process[J].Journal of the Acoustical Society ofAmerica,1971,49(1):357-367.
[4]Shinozuka M,Jan C M.Digital simulation of random processand its application[J].Journal of Sound and Vibration,1972,25(1):111-128.
[5]Shinozuka M,Deodatis G.Simulation of stochastic processesand fields[J].Probabilistic Engineering Mechanics,1997,12(4):203-207.
[6]Shinozuka M,Yun C B,Seya H.Stochastic methods in windengineering[J].Journal of Wind Engineering and IndustrialAerodynamics,1990,36:829-843.
[7]Li J,Chen J B.Stochastic dynamics of structures[M].JohnWiley&Sons(Asia)Pte Ltd.2009.
[8]李杰.随机动力系统的物理逼近[J].中国科技论文在线,2006,1(2):95-104.
[9]李杰,阎启.结构随机动力激励的物理模型——以脉动风速为例[J].工程力学,2009,26 Sup II,175-183.
[10]Seong S H,Peterka J A.Experiments on Fourier phases forsynthesis of non-Gaussian spikes in turbulence time series[J].Journal of Wind Engineering and IndustrialAerodynamics,2001,89:421-443.
[11]金星,廖振鹏.地震动相位特性的研究[J].地震工程与工程振动,1993,13(1):7-13.
[12]Taylor G I.The spectrum of turbulence[J].Proceedings ofthe Royal Society of London,Series A,1938,164:476.
[13]Bahraminasab A,Niry M D,Davoudi J,et al.Taylor'sfrozen-flow hypothesis in Burgers turbulence[J].PhysicalReview,2008,E77.065302(R).
[14]Hinze J Q.Turbulence[M].New York:McGraw-Hill,1975.
[15]阎启,谢强,李杰.风场长期观测与数据分析[J].建筑科学与工程学报,2009,26(1):37-42.
[16]李杰,阎启,谢强,等.台风“韦帕”风场实测及风致输电塔振动响应[J].建筑科学与工程学报,2009,26(2):1-8.
[17]Choi S C,Wette R.Maximum likelihood estimation of theparameters of the Gamma distribution and their bias[J].Technometrics,1969,11(4):683-690.
[18]Dyrbye C,Hansen S O.Wind loads on structures[M].NewYork:John Wiley&Sons,1997.
[19]Yim J Z,Chou C R,Huang W P.A study on thedistributions of the measured fluctuating wind velocitycomponents[J].Atmospheric Environment,2000,34:1583-1590.
[20]Sobezyk K,Trebicki J.Maximum entropy principle instochastic dynamics[J].Probabilistic EngineeringMechanics,1990,5(3):102-110.
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