Abstract A global sensitivity analysis method based on the Gauss-Lobatto integration is proposed and applied to study the attenuation zones of layered periodic foundations including the effect of initial stress. Comparisons with existing results of a mathematical model in previous studies are conducted to validate the proposed method, and the accuracy of the proposed method is found to be superior to the extensively used Monte Carlo simulation method in the global sensitivity analysis. Global sensitivity analyses of the lower bound frequency, width and maximum attenuation coefficient of the first attenuation zone are conducted considering five input parameters. The relative importance of every individual parameter and their interactions in determining the first attenuation zone are examined. Moreover, fitting equations of the lower bound frequency, width and maximum attenuation coefficient of the first attenuation zone are developed as guidelines to design layered periodic foundations with initial stress.

中文翻译：

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一种基于Gauss-Lobatto积分的全局灵敏度分析方法及其在具有初应力的层状周期地基中的应用

摘要 提出了一种基于Gauss-Lobatto积分的全局灵敏度分析方法，并将其应用于包括初始应力影响的层状周期性地基衰减区的研究。与以往研究中数学模型的现有结果进行比较以验证所提出的方法，发现所提出方法的准确性优于在全局敏感性分析中广泛使用的蒙特卡罗模拟方法。考虑五个输入参数，对第一衰减区的下界频率、宽度和最大衰减系数进行全局灵敏度分析。检查每个单独参数的相对重要性及其在确定第一衰减区中的相互作用。此外，下界频率的拟合方程，