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Extreme estimation of wind pressure with unimodal and bimodal probability density function characteristics: A maximum entropy model based on fractional moments
Journal of Wind Engineering and Industrial Aerodynamics ( IF 4.2 ) Pub Date : 2021-05-19 , DOI: 10.1016/j.jweia.2021.104663
Wen Xie , Peng Huang

The complicated probability density function (PDF) characteristics of wind pressure, including its highly skewed, highly leptokurtic, and bimodal characteristics induced by sophisticated architecture, call for improved extreme-estimation models. Most existing methods are based on a unimodal PDF's underlying assumption and fail in highly non-Gaussian cases. Owing to the complete probabilistic information used in cumulative distribution function (CDF)-mapping methods, such methods have the potential to deal with complicated PDF-type wind pressures. To yield better curve-fitting of the parent distribution, which is the critical step of CDF-mapping, a maximum entropy model based on fractional moments is combined with CDF-mapping in this work. By using the Legendre-Gauss quadrature rule, the computational efficiency of fitting parent distribution is improved. The model's performance is benchmarked against typical long-term wind pressure data obtained from wind tunnel tests conducted at a long-span airport terminal model. By considering the captured probability properties, four typical taps are selected to provide empirical wind-pressure extreme in the 57% fractile for detailed model assessment. The confidence intervals of the estimated results and errors for all taps are also calculated. Compared with existing polynomial-fitting- and CDF-mapping-based translation methods, the extreme estimated by the proposed method are shown to be more robust and stable.



中文翻译:

具有单峰和双峰概率密度函数特征的风压极限估计:基于分数矩的最大熵模型

风压的复杂概率密度函数(PDF)特性,包括复杂结构导致的高度偏斜,高度轻快和双峰特性,要求改进极端估计模型。大多数现有方法都是基于单峰PDF的基本假设,在高度非高斯情况下会失败。由于在累积分布函数(CDF)映射方法中使用了完整的概率信息,因此这些方法有可能处理复杂的PDF型风压。为了更好地拟合父分布的曲线拟合(这是CDF映射的关键步骤),在这项工作中,将基于分数矩的最大熵模型与CDF映射结合在一起。通过使用Legendre-Gauss正交规则,拟合父分布的计算效率得到提高。该模型的性能以在大跨度机场航站楼模型上进行的风洞测试获得的典型长期风压数据为基准。通过考虑捕获的概率属性,选择了四个典型的抽头以提供57%的碎裂中的经验风压极值,以进行详细的模型评估。还计算所有抽头的估计结果和误差的置信区间。与现有的基于多项式拟合和基于CDF映射的转换方法相比,通过该方法估计的极端值显示出更加鲁棒和稳定。该性能是根据在大跨度机场航站楼模型上进行的风洞测试获得的典型长期风压数据进行基准测试的。通过考虑捕获的概率属性,选择了四个典型的抽头以提供57%的碎裂中的经验风压极值,以进行详细的模型评估。还计算所有抽头的估计结果和误差的置信区间。与现有的基于多项式拟合和基于CDF映射的转换方法相比,通过该方法估计的极端值显示出更加鲁棒和稳定。该性能是根据在大跨度机场航站楼模型上进行的风洞测试获得的典型长期风压数据进行基准测试的。通过考虑捕获的概率属性,选择了四个典型的抽头以提供57%的碎裂中的经验风压极值,以进行详细的模型评估。还计算所有抽头的估计结果和误差的置信区间。与现有的基于多项式拟合和基于CDF映射的转换方法相比,通过该方法估计的极端值显示出更加鲁棒和稳定。还计算所有抽头的估计结果和误差的置信区间。与现有的基于多项式拟合和基于CDF映射的转换方法相比,通过该方法估计的极端值显示出更加鲁棒和稳定。还计算所有抽头的估计结果和误差的置信区间。与现有的基于多项式拟合和基于CDF映射的转换方法相比,通过该方法估计的极端值显示出更加鲁棒和稳定。

更新日期:2021-05-20
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