基于协方差本征变换与谐波合成法的随机风场模拟

张佳文;郭文华;项超群

振动与冲击 ›› 2013, Vol. 32 ›› Issue (21) : 197-203.

PDF(1637 KB)
PDF(1637 KB)
振动与冲击 ›› 2013, Vol. 32 ›› Issue (21) : 197-203.
论文

基于协方差本征变换与谐波合成法的随机风场模拟

  • 张佳文1,郭文华1,2,项超群1
作者信息 +

Simulation of Stochastic Wind Field based on Covariance Proper Transformation and Weighted Amplitude Wave Superposition

  • ZHANG Jia-wen1 ,GUO Wen-hua1,2, XIANG Chao-qun1
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摘要

为解决谐波合成法模拟多变量随机脉动风场计算效率低下,内存易超限的问题,提出了协方差本征变换与谐波合成法相结合的风场模拟新方法。在谐波合成法和协方差本征变换的基础上,采用基于方差比的模态截断准则缩阶互谱密度矩阵,以减少矩阵的Cholesky分解次数,同时运用FFT技术来提高谐波项的合成速度,并给出了该方法的误差控制指标。通过算例表明上述方法可有效减少整个模拟过程的计算时间,采用方差比模态截断准则可保证所有节点位置的样本方差具有较高精度,模拟样本的功率谱密度、相关函数与目标值较为符合,并且具有较好的随机性。证实了所提出方法可以高效、准确地的模拟出随机脉动风场。

Abstract

In order to reduce the calculating amount and memory consumption of the Weighted Amplitude Wave Superposition method, and an improved method combines weighted amplitude wave superposition method and covariance proper transformation is used in this paper. On the basis, with the mode truncation criteria based on variance ratio, the reduced orders matrix of principal components of the cross-spectral density is employed to conduct the Cholesky decomposition. Furthermore, an error standard is defined to estimate the simulation precision. Practical algorithm is put forward and its efficiency can be enhanced by FFT. Finally, The simulation procedure is applied to an example and the results show that the proposed method remarkably saves the simulation time, the mode truncation criteria based on variance ratio is presented to improve calculation. the cross-power spectral density function, cross-correlation function are in good agreement with the expected targets. the procedure presented in the paper can be an accurate and effective method to simulate the stochastic wind field.


关键词

协方差本征变换 / 谐波合成法 / 方差比 / 模态截断准则 / 随机风场 / FFT技术

Key words

covariance proper transformation / weighted amplitude wave superposition / variance ratio / mode truncation criteria / stochastic wind field / FFT technique

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张佳文;郭文华;项超群. 基于协方差本征变换与谐波合成法的随机风场模拟[J]. 振动与冲击, 2013, 32(21): 197-203
ZHANG Jia-wen;GUO Wen-hua;XIANG Chao-qun. Simulation of Stochastic Wind Field based on Covariance Proper Transformation and Weighted Amplitude Wave Superposition[J]. Journal of Vibration and Shock, 2013, 32(21): 197-203

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