隧道衬砌随机分析的区间有限元法  

Random analysis of tunnel lining with interval finite element method

作　　者：夏炜洋[1] 何川[1] 汪洋[1] 

机构地区：[1]西南交通大学地下工程系,成都610031

出　　处：《岩土力学》2008年第10期2877-2881,共5页Rock and Soil Mechanics

基　　金：国家高技术研究发展专项(863计划)(No.2006AA11Z116)资助

摘　　要：隧道衬砌结构内力计算中,围岩的力学参数和结构的参数具有不确定性,同时,其不确定性是有界的。对于这些参数的不确定性,在工程上可以用一个合理的区间数值来估计。对于单个随机变量,可以采用有限元方程来求解结构内力;而对于多个随机变量的情况,考虑到计算模型的不确定性和数学求解的复杂性,利用有限元程序来导出各变量对结构内力的作用效应,进而得到不同参数组合的区间值,最终确定隧道衬砌的结构内力区间值,为隧道衬砌结构内力的计算和工程应用提供一种新方法。In the tunnel lining structure internal force calculation, it is indeterminacy for mechanics parameters of surrounding rock and parameters of structure. At the same time, the indeterminacy has the boundary, which can be estimated by a reasonable interval numbers in engineering. Changing a single random variable in the interval numbers, the structural internal force can be solved by adopting a finite element equation. But in the case of multi-variable, considering indeterminacy of calculation model and complexity of mathematical solution, the finite element procedure can be used to educe the action effect of each variable to structure＇s internal force, then the interval values consist of different parameters are obtained; and the interval values of tunnel lining structural inner force are confirmed finally. The method can provide a new method for the calculation of interval numbers of tunnel lining and engineering application.

关 键 词：隧道衬砌 随机变量 区间数 有限元法 

分 类 号：TB115[理学—数学] U451.4[理学—应用数学]