基于LPZ谱分析法的非高斯脉动风压模拟

doi:10.12066/j.issn.1007-2861.1852

上海大学学报(自然科学版) ›› 2017, Vol. 23 ›› Issue (4): 600-608.doi: 10.12066/j.issn.1007-2861.1852

基于LPZ谱分析法的非高斯脉动风压模拟

蒋磊, 李春祥, 邓莹

上海大学土木工程系, 上海 200444

收稿日期:2016-09-30 出版日期:2017-08-30 发布日期:2017-08-30
通讯作者: 李春祥(1964—), 男, 教授, 博士生导师, 博士, 研究方向为结构振动控制、结构风工程、结构抗震. E-mail: Li-chunxiang@vip.sina.com
作者简介:李春祥(1964—), 男, 教授, 博士生导师, 博士, 研究方向为结构振动控制、结构风工程、结构抗震. E-mail: Li-chunxiang@vip.sina.com
基金资助:
国家自然科学基金资助项目(51378304)

Simulation of non-Gaussian fluctuating wind pressure based on LPZ spectral analysis

JIANG Lei, LI Chunxiang, DENG Ying

Department of Civil Engineering, Shanghai University, Shanghai 200444, China

Received:2016-09-30 Online:2017-08-30 Published:2017-08-30

摘要/Abstract

摘要：

提出一种基于线性预测和Z转换(linear prediction and Z-transform, LPZ)谱分析法的非高斯脉动风压模拟算法. 运用Johnson变换系统实现高斯随机过程到非高斯白噪声的转换; 再使用LPZ对其进行数字滤波, 进而得到所需的非高斯脉动风压. 采用基于LPZ谱分析法对单变量非高斯随机信号和非高斯脉动风压进行了数值模拟. 通过对模拟的非高斯信号和脉动风压的统计参数(峰度和偏度)与目标统计参数, 以及模拟的功率谱与目标功率谱进行比较,验证了基于LPZ谱分析法的非高斯脉动风压模拟算法的有效性.

关键词: Johnson变换系统, 数字滤波, 线性预测和Z转换谱分析法, 非高斯脉动风压模拟

Abstract:

This paper presents an algorithm based on linear prediction and Z-transform(LPZ) spectral analysis to simulate non-Gaussian fluctuating wind pressure. The Gaussian process is converted into a non-Gaussian white noise process by Johnson translator system. The non-Gaussian white noise process is then filtered with LPZ spectral analysis to obtain fluctuating wind pressure. The univariate non-Gaussian random signals and non-Gaussian fluctuating wind pressure are simulated using the algorithm. By comparing the statistical parameters including skewness, kurtosis and power spectral density of the non-Gaussian white noise process and fluctuating wind pressure with their target values, it is confirmed that the algorithm based on LZP spectral analysis can effectively simulate non-Gaussian fluctuating wind pressure.

Key words: digital filter, Johnson translator system, linear prediction and Z-transform (LZP) spectral analysis, non-Gaussian fluctuating wind pressure simulation

蒋磊, 李春祥, 邓莹. 基于LPZ谱分析法的非高斯脉动风压模拟[J]. 上海大学学报(自然科学版), 2017, 23(4): 600-608.

JIANG Lei, LI Chunxiang, DENG Ying. Simulation of non-Gaussian fluctuating wind pressure based on LPZ spectral analysis[J]. Journal of Shanghai University（Natural Science Edition）, 2017, 23(4): 600-608.

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基于LPZ谱分析法的非高斯脉动风压模拟

Simulation of non-Gaussian fluctuating wind pressure based on LPZ spectral analysis

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