接触网空间相关随机风场的模拟研究
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摘要
针对接触网的结构特点,在不降低精度的前提下,对风速相干函数及功率谱密度函数进行了适当简化,提出了基于多变量谐波合成法的接触网随机脉动风速场的模拟模型。该模型采用了适合接触网脉动风场计算的沿高度不变的Davenport谱,考虑了紊流风速在不同节点的相关关系,同时引入了水平风速的相位差;利用FFT(the fast Fourier transform technique)技术来代替谐波叠加的算法提高了谐波项合成效率。最后,应用该方法模拟了新疆兰新线百里风区接触网的随机风场。计算结果表明,互功谱密度函数、互相关函数与目标结果非常吻合,说明所提出的模型可以准确地模拟出适合接触网结构的随机脉动风场。
According to catenary construction,at unreduced precision,a multivariable simulation model of catenary stochastic pulsation wind field based on the harmonic synthesis was proposed,which properly simplifies wind speed coherence function and power spectral density function.The simulation model adopted the Davenport power spectral density unchanging along the height and considered the correlations between three turbulent wind components at different points and introduced the discrepancy at different phase angles to represent the time delay in wind velocity passage.The FFT technique(fast Fourier transform technique) is used to enhance the harmonic synthesis efficiency.A numerical example of simulation for stochastic wind field of the hundred-mile wind field at Lanchow-Sinkiang railway is included in this paper to illustrate the improved method introduced.It is demonstrated that the cross-power spectral density function and cross-correlation function are in good agreement with the expected targets.It means that the proposed method can simulate the target stochastic pulsing wind velocity field accurately and effectively.
According to catenary construction,at unreduced precision,a multivariable simulation model of catenary stochastic pulsation wind field based on the harmonic synthesis was proposed,which properly simplifies wind speed coherence function and power spectral density function.The simulation model adopted the Davenport power spectral density unchanging along the height and considered the correlations between three turbulent wind components at different points and introduced the discrepancy at different phase angles to represent the time delay in wind velocity passage.The FFT technique(fast Fourier transform technique) is used to enhance the harmonic synthesis efficiency.A numerical example of simulation for stochastic wind field of the hundred-mile wind field at Lanchow-Sinkiang railway is included in this paper to illustrate the improved method introduced.It is demonstrated that the cross-power spectral density function and cross-correlation function are in good agreement with the expected targets.It means that the proposed method can simulate the target stochastic pulsing wind velocity field accurately and effectively.
引文
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[11]George Deodatis.Simulation of ergodic multivariate stochastic processes[J].Journal of engineering mechanics,1996,122(8):778-787.
[2]今井俊昭.急激な風速増加が生じる確率をどの用にして知るか[J].時代をリードする鉄道技術の情報誌,2003(8):10-13.
[3]李燕飞.兰新线电气化改造工程大风区段行车安全研究[D].长沙:中南大学,2007.
[4]田志军.电气化铁路接触网防风技术研究[J].建设机械技术与管理,2007(7):100-103.
[5]白泉,朱浮声,康玉梅.风速时程数值模拟研究[J].辽宁科技学院学报,2006,8(3):1-3.
[6]张希黔,葛勇,严春风,等.脉动风场模拟技术的研究与进展[J].地震工程与工程振动,2008,28(6):206-212.
[7]曾宪武,韩大建.大跨度桥梁风场模拟方法对比研究[J].地震工程与工程振动,2004,24(1):135-140.
[8]王之宏.风荷载的模拟研究[J].建筑结构学报,1994,15(1):44-52.
[9]Yinghong Cao,Haifan Xiang,Ying Zhou.Simulation of stochastic wind welocity field on long-span ridges[J].Journal of Engineer-ing Mechanics,2000,126(1):1-6.
[10]K.Aas-Jakobsen,E.Strmmen.Time domain buffeting response calculations of slender structures[J].Journal of Wind Engineering and Industrial Aerodynamics,2001,89:341-364.
[11]George Deodatis.Simulation of ergodic multivariate stochastic processes[J].Journal of engineering mechanics,1996,122(8):778-787.
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