基于有限元法的岩土工程可靠度分析  

Probability Analysis of Geotechnical Engineering Based on Finite Element Method

作　　者：龚文惠[1] 雷红军[1] 陈玉国[1] 

机构地区：[1]华中科技大学土木工程与力学学院

出　　处：《华中科技大学学报（城市科学版）》2007年第3期17-20,共4页Journal of Huazhong University of Science and Technology

基　　金：湖北省自然科学基金资助项目(2005ABA303)

摘　　要：将有限元法和蒙特卡罗法相结合,探讨了基于有限元法的岩土工程可靠度分析方法。首先对影响岩土工程结构行为的随机变量进行抽样,然后利用有限元法分析求解具体岩土结构的指定指标值,再运用蒙特卡罗法对多次抽样计算结果进行分析,从而求解岩土工程结构的可靠度。通过对实际筏板基础工程进行可靠度分析,表明该方法可方便地分析最大位移、最大剪应力等指标的变异性及其灵敏度问题,能显著提高岩土工程可靠度分析的效率与精度。The probability analysis method of geotechnical engineering based on finite element method was explored by combining the finite element method and Monte Carlo method. With the method, the random variables which affect geotechnical structure action were sampled. The appointed indexes of the structure were analyzed and solved through the finite element method. At last, Monte Carlo method was used to analyze the sampling results and the probability of the structure was obtained. Through the probability analyzing of a raft foundation, it is shown that this method can conveniently analyze the variability and sensitivity of the maximum displacement and maximum shear stress, and the efficiency and precision of the probability analysis of geotechnical engineering can be enhanced prominently.

关 键 词：岩土工程 可靠度 蒙特卡罗法 有限元法 失效概率 灵敏度 

分 类 号：TU473[建筑科学—结构工程]