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作用于屋盖结构上的风压场具有明显的非高斯特性。这个特点,提出一种多变量平稳非高斯风压场模拟的新方法。该文首次采用三次多项式表达风压过程和高斯过程之间的转换关系,推导出关于多项式所含参数的非线性方程组,利用高斯随机向量联合矩的特性获得相关函数的转换关系。通过上述方法,将非高斯风压场表达为一个虚拟的多变量高斯过程,从而采用谐波合成法生成风压过程样本。通过一个大跨度体育场屋盖的风压场计算,演示了该方法的模拟过程。计算结果表明:该方法模拟精度高,计算效率也高,说明该法应用于大型屋盖风压场计算的显著优势。
The wind pressure field acting on the roof structure has obvious non-Gaussian characteristics. This feature proposes a new multivariable non-Gaussian wind pressure field simulation method. In this paper, the cubic polynomial expression is used for the first time to express the relationship between the pressure process and the Gaussian process, and the nonlinear equations about the polynomial parameters are deduced. The relations of the correlation functions are obtained by using the characteristics of Gaussian random vector. Through the above method, the non-Gaussian wind pressure field is expressed as a virtual multivariable Gaussian process, so that the wind pressure process sample is generated by the harmonic synthesis method. Through the calculation of the wind pressure field of a large-span stadium roof, the simulation of the method is demonstrated. The calculation results show that the method has high simulation accuracy and high computational efficiency, which shows that the method has obvious advantages when applied to the calculation of wind pressure field of large roof.