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基于谱修正方法的非高斯风场模拟
引用本文:孙芳锦,张爱社.基于谱修正方法的非高斯风场模拟[J].地震学刊,2012(2):187-190.
作者姓名:孙芳锦  张爱社
作者单位:[1]同济大学土木工程防灾国家重点实验室,上海200092 [2]辽宁工程技术大学建筑工程学院,辽宁阜新123000 [3]山东建筑大学土木工程学院,济南250101
基金项目:国家自然科学基金项目(51108345、51078225); 辽宁工程技术大学博士启动基金项目(09139)资助
摘    要:为克服基于H erm ite谱修正方法的缺点,减少该方法中计算H erm ite多项式系数所需耗费的大量机时,提出了一种模拟非高斯风压场的新方法,采用非高斯累积分布函数(CDF)映射技术来代替基于H erm ite的概率密度函数(PDF)修正。选择任意边缘PDF模型作为概率目标模型,采用目标功率谱密度(PSD)作为样本函数,通过迭代修正该样本函数,使其收敛于目标概率密度函数和目标功率谱密度。将该方法应用于实际结构的非高斯风场模拟,模拟结果与目标谱符合良好,表明本文方法模拟非高斯风场具有较高的精确度和计算效率。

关 键 词:非高斯风压场  非高斯累积分布函数(CDF)  概率密度函数(PDF)  目标功率谱密度(PSD)  谱表示方法

Non-Gaussian Wind Field Simulation Based on Spectral Correction Method
SUN Fang-jin,ZHANG Ai-she.Non-Gaussian Wind Field Simulation Based on Spectral Correction Method[J].Journal of Seismology,2012(2):187-190.
Authors:SUN Fang-jin  ZHANG Ai-she
Institution:1.State Key Laboratory for Disaster Reduction in Civil Engineering,Tongji University,Shanghai 200092,China;2.Institute of Civil Engineering & Architecture,Liaoning Technical University,Fuxin 123000,China;3.School of Civil Engineering,Shandong Jianzhu University,Jinan 250101,China)
Abstract:To overcome disadvantages of Hermite-based spectral correction method,and to eliminate large consumption of the simulation due to computing coefficients of Hermite polynomial,a new method for simulating non-Gaussian wind field is proposed.Non-Gaussian cumulative distribution function(CDF) is employed to replace Hermit-based probability density function correction.Selecting arbitrary marginal PDF model as probability target model,and targeting power spectral density as sample function,the sample function is converged to the target probability density function and power spectral density through iteration correction.The method is applied to simulate non-Gaussian wind field of a real-life structure.The results compare well with the target spectrum.The method proposed here has fairly high accuracy and efficiency.
Keywords:non-Gaussian wind field  non-Gaussian cumulative distribution function(CDF)  probability density function(PDF)  targeting power spectural density(PSD)  spectral representation method
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