土层参数的随机性对场地传递函数的影响

本文采用秦勒级数展开估计土层参数随机性对场地传递函数的影响。对单层土模型在土层参数服从独立高斯分布假定下进行了公式推导和实例计算，比较了不同的泰勒级数阶次、土层参数变异系数以及阻尼比对传递系数随机性的综合效应。结果表明，即使在小参数摄动范围内采用一阶泰勒级数也是不够的；一般情况下采用二阶泰勒级数即可给出满意的估计。

Effect of soil parameter variations on soil transfer function

By expanding in the Taylor series, we estimate the effect of the soil parameter variations on the soil transfer function in this paper. For one-layered model of a site, the variation of the soil transfer function has been compared with different orders of Taylor series and soil variance coeffcients and damping ratios when the variation of soil parameters is assumed to be independent Gaussian distribution. The results show that the first order Taylor expansion expression is not enough for calculation precision even though smaller soil variance coefficient is taken into account and the second order Taylor expansion expression is generally available.