高斯/非高斯混合随机风压场的模拟方法

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振动与冲击 ›› 2012, Vol. 31 ›› Issue (10) : 111-117.

论文

高斯/非高斯混合随机风压场的模拟方法

罗俊杰1,2, 苏成1,2，韩大建1,2

作者信息 +

Simulation methodology for stochastic wind pressure field composed of gaussian and non-gaussian regions

LUO Jun-jie1,2, SU Cheng1,2, HAN Da-jian1,2

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文章历史 +

摘要

针对作用于屋盖结构随机风压场样本的统计特性要求，基于零记忆非线性转化法的理论，给出了随机风压场的具体模拟过程。其中，解决了两个关键问题：（1）推导了服从对数正态分布和韦布尔分布的多点非高斯随机过程向量的标准化协方差，与相应高斯随机过程向量的标准化协方差的函数转化关系；（2）提出了分解谱密度函数修正法，解决利用谐波合成法模拟多点高斯随机过程向量时，功率谱密度函数矩阵在某些频率点出现负定的问题。经过具体算例表明，所提出的方法能生成合乎风洞实验数据统计特性要求的随机风压场样本。

Abstract

Simulation of stochastic fluctuating wind pressure field acting on roofs should meet with the requirements of statistical and spectral characteristics. The zero memory nonlinearity (ZMNL) transformation method is presented to generate the stochastic wind pressure time histories in this paper. A detailed procedure is provided, and two crucial problems are addressed. Firstly, the standard covariance function for transforming multivariate non-Gaussian stochastic process vector into the corresponding Gaussian one is derived for simulating the stochastic wind pressure process samples following the lognormal distribution and the Weibull distribution. Secondly, a new method is proposed to cope with the negative definite matrices of spectral density function associated with certain frequencies while generating the Gaussian stochastic process vector. After that, an illustrated example is given. It is shown that the proposed method can generate stochastic wind pressure field samples with specified statistical and spectral natures of the data obtained by wind tunnel experiment.

导出引用

罗俊杰;苏成;韩大建;. 高斯/非高斯混合随机风压场的模拟方法[J]. 振动与冲击, 2012, 31(10): 111-117

LUO Jun-jie;SU Cheng;HAN Da-jian;. Simulation methodology for stochastic wind pressure field composed of gaussian and non-gaussian regions[J]. Journal of Vibration and Shock, 2012, 31(10): 111-117