基于区间摄动理论的隧道结构响应分析

Tunnel Structure Response Analysis based on Interval Perturbation Theory

基于区间摄动理论,针对隧道结构不确定量,结合基于单元的有限元方法,建立了隧道结构区间求解模型.该模型采用8节点等参元进行离散,同时考虑物理参数不确定性、材料非均质不确定性和荷载不确定性,利用区间有限元方法,对模型进行了不确定性分析,得到了隧道结构静力响应的区间范围,并将结果与ANSYS软件分析结果相对比.数值结果表明该模型在求解隧道结构不确定性问题是有效的、可行的.

A numerical model is established on the basis of combining finite element method and the interval perturbation theory to solve uncertainty problem for the tunnel structure. This model discrete by 8-node iso- parametric element, and is solved by the interval finite element method considering the physical parameter un- certainty, the material heterogeneity uncertainty and the load uncertainty. The effectiveness and feasibility of the model is proved by the comparison of the interval analysis results with certainty results with ANSYS.