基于改进响应面的邓肯-张E-B模型参数全局敏感性分析

Global sensitivity analysis of parameters in Duncan-Chang E-B model based on improved response surface

为研究邓肯-张E-B模型参数及参数之间的交互作用对大坝变形的影响,以某均质黄土坝为研究对象,利用改进的响应面方法分析了邓肯-张E-B模型参数的全局敏感性。通过部分因子设计筛选出对土坝变形影响较为显著的5个参数为R_(f)、γ、φ_(0)、K_(b)、K,再利用响应面方法中的中心复合设计对筛选结果做进一步的全局响应面分析,考察参数及参数之间的交互作用对土坝变形的影响。结果表明,R_(f)、γ、φ_(0)是对大坝位移敏感性最强的3个参数,这3个参数之间的交互作用对于大坝变形的敏感性同样重要,且高于单个因素的敏感性,在类似工程计算中应考虑参数之间的交互作用。

In order to study the influence of Duncan-Chang E-B model parameters and their interactions on dam deformation,the global sensitivity of parameters in Duncan-Chang E-B model was studied using the improved response surface method for a homogeneous loess dam.Firstly,five parameters including R_(f),γ,φ_(0),K_(b)and K,which have significant influence on the deformation of earth dam were screened out by fractional factorial design.Then the central composite design in the response surface method was used to conduct further global response surface analysis on the screening results and investigate the influence of parameters and their interaction on the deformation of earth dams.The results show that R_(f),γandφ_(0)are the three most sensitive parameters to dam displacement,and the interaction between them is also significantly sensitive to dam deformation,which is greater than the sensitivity of a single factor.Therefore,the interaction between the parameters should be considered in similar engineering calculations.