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基于非侵入式随机有限元法的地下洞室可靠度分析

李典庆 蒋水华 周创兵

岩土工程学报2012,Vol.34Issue(1):123-129,7.
岩土工程学报2012,Vol.34Issue(1):123-129,7.

基于非侵入式随机有限元法的地下洞室可靠度分析

Reliability analysis of underground rock caverns using non-intrusive stochastic finite element method

李典庆 1蒋水华 1周创兵1

作者信息

  • 1. 武汉大学水资源与水电工程科学国家重点实验室,湖北武汉430072/武汉大学水工岩石力学教育部重点实验室,湖北武汉430072
  • 折叠

摘要

Abstract

A non-intrusive finite element method for the reliability analysis of deformation for underground rock caverns is proposed. First, the polynomial chaos expansion is introduced. The software SIGMA/W is selected to perform the deterministic FEM analysis. Thereafter, a procedure for the interface between stochastic analysis module and software SIGMA/W is presented, and a flowchart is provided as well. The non-intrusive finite element method means there is no need for user-intervention during the calculation of the deterministic finite element code while the normal stochastic finite element methods always do. This is of practical advantage that realistic probabilistic analyses become possible for the practitioners. The computational efficiency of the proposed method is significantly higher than that of the traditional Monte Carlo simulation. It can serve as an alternate method for the reliability analysis of complex geotechnical problems. The liner supporting can improve the reliability of the underground rock caverns effectively. The sensitivity results indicate that the elastic modulus is the most significant random variable, whereas the unit weight almost has no influence on the reliability results. Therefore, to improve the reliability of the underground rock caverns effectively, a detailed geological investigation should be conducted to reduce the uncertainty in the elastic modulus of rock mass.

关键词

地下洞室/变形/非侵入式随机有限元法/随机多项式展开/可靠度

Key words

underground cavern/deformation/non-intrusive stochastic finite element method/polynomial chaos expansion/reliability

分类

建筑与水利

引用本文复制引用

李典庆,蒋水华,周创兵..基于非侵入式随机有限元法的地下洞室可靠度分析[J].岩土工程学报,2012,34(1):123-129,7.

基金项目

国家自然科学基金项目(51028901):国家重点基础研究发展计划973项目(2010CB732005) (51028901)

岩土工程学报

OA北大核心CSCDCSTPCD

1000-4548

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