A global sensitivity analysis method based on the Gauss-Lobatto integration and its application in layered periodic foundations with initial stress

摘要

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.