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采用Hermite矩模型可将非高斯时程表示为高斯时程的非线性函数,建立了非高斯时程和高斯时程之间的一一对应关系,也建立了非高斯峰值因子和高斯峰值因子之间的一一对应关系,为非高斯峰值因子、极值的计算奠定了理论基础。介绍了软化时程、硬化时程和偏斜时程的Hermite矩模型变换理论,明确了高阶矩模型的单调变换范围;在此基础上,研究了软化时程非高斯峰值因子简化计算式的理论误差。结果表明由简化计算式得到的非高斯峰值因子略大,其误差均小于20%。利用非高斯峰值因子的简化计算式,计算了平屋盖表面典型测压点的非高斯峰值因子和风压极值。分析结果表明:绝大多数测压时程样本属于软化时程,极少数样本属于硬化时程或偏斜时程;利用非高斯峰值因子的简化计算式,需要考虑测压时程的随机特性,取多个时程样本峰值因子的平均值作为非高斯峰值因子的代表值。
The non-Gaussian time-history can be represented as a non-linear function of Gaussian time-history using the Hermite moment model. One-to-one correspondence between non-Gaussian time-history and Gaussian time-history is established. Non-Gaussian peak factor and Gaussian peak factor One by one correspondence between the non-Gaussian peak factor, the calculation of the extreme laid the theoretical foundation. In this paper, the Hermite moment model transformation theory of softening time history, hardening time history and skew time history is introduced, and the monotonous transformation range of higher order moment model is clarified. On this basis, the simplified calculation formula of non-Gaussian peak factor Theoretical error. The results show that the non-Gaussian peak factor obtained by the simplified calculation is slightly larger and the errors are less than 20%. The non-Gaussian peak pressure factor and the extreme value of wind pressure at typical pressure measurement points on the surface of flat roof were calculated by using the simplified calculation formula of non-Gaussian peak factor. The analysis results show that most of the manometry samples belong to the softening time history, and a few samples belong to the hardening time history or the skew time history. Using the simplified calculation formula of the non-Gaussian peak factor, the random characteristics of the time history of the pressure measurement need to be considered, Take the average of multiple time-history sample crest factor as the representative value of non-Gaussian crest factor.