非高斯风荷载极值估计: 基于HPM转换过程的经验公式
Extreme Value Estimation of Non-Gaussian Wind Load: Empirical Formula of HPM-based Translation Process
-
摘要: 风荷载极值概率信息对于结构抗风可靠性设计十分重要, 基于Hermite多项式模型(Hermite polynomial model, HPM)转换过程方法由于在估计强非高斯性风荷载极值方面表现优异, 因而受到研究人员的青睐从而被广泛应用。另一方面, 该方法的使用过程烦琐且有较强的理论性, 不利于工程应用。为此, 该文基于该方法提出非高斯风荷载极值估计的经验公式, 首先系统地阐述基于HPM转换过程方法, 接着对风荷载的极值分布函数模型展开讨论, 之后通过回归分析提出风荷载极值分布函数的经验公式, 并对其适用性和精确性加以验证。研究成果表明, 仅需知晓风荷载若干统计特征的情况下, 经验公式可快速估计风荷载极值, 精度上与HPM转换过程方法基本相同, 而在效率和便捷性方面显著提升, 便于在工程中推广使用。Abstract: Knowing the probability information of extreme wind load is important for reliability-based structural wind resistance design. The Hermite polynomial model (HPM)-based translation process method performs well in estimating extreme value of strongly non-Gaussian wind load. It has been favored by researchers and widely used. On the other hand, using this method is relatively complicated and highly theoretical, which is not conducive to engineering application. Therefore, based on this method, this paper proposes an empirical formula for estimating the extreme value of non-Gaussian wind load. In this paper, the HPM-based translation process method was first presented systematically. The distribution model of extreme wind load was then discussed. Afterward the empirical formula of extreme value distribution of wind load was proposed through the regression analysis. The applicability and accuracy of the formula were also verified. The research shows that the extreme value of wind load can be quickly estimated by the empirical formula only with knowledge of limited statistics of wind load. The accuracy is the same as the prototype method, however, the efficiency and convenience are significantly improved, which makes it easy to promote the use of the method in engineering application.