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Safe range analysis of clear distance of twin shallow tunnels based on limit analysis and reliability theory

基于极限分析和可靠度理论的双孔浅埋隧道安全净距研究

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Abstract

A method of analyzing the stability of twin shallow tunnels was presented using both limit analysis with nonlinear failure criterion and reliability theory. In the condition of nonlinear failure criterion, the critical clear distances of twin shallow tunnels were obtained by analyzing the change of surrounding pressure. A reliability model was established based on limit state equation, and the failure probability was solved by virtue of Monte Carlo method. Safety factor and corresponding clear distance of different safety levels were obtained by introducing a target reliability index. The scope of clear distance for different safety levels is described, which can be used as a supplement and improvement to the design codes of tunnels.

摘要

本文将非线性破坏准则引入极限分析中, 结合极限分析与可靠度理论研究双孔浅埋隧道的稳定性。 在围岩服从非线性破坏准则的条件下, 通过分析隧道围岩压力得到双孔浅埋隧道的临界净距。 在围岩处于极限破坏状态时, 构建了隧道的可靠度模型, 并运用 Monte Carlo 法求解了隧道的失效概率。 通过引入目标可靠度指标, 得到了不同安全等级下隧道的安全系数和相应的安全净距, 为今后类似隧道的设计提供了理论依据和参考价值。

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Correspondence to Xuan Wang  (王晅).

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Foundation item: Project(51378514) supported by the National Natural Science Foundation of China

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Zhang, B., Wang, X., Zhang, Js. et al. Safe range analysis of clear distance of twin shallow tunnels based on limit analysis and reliability theory. J. Cent. South Univ. 25, 196–207 (2018). https://doi.org/10.1007/s11771-018-3729-4

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  • DOI: https://doi.org/10.1007/s11771-018-3729-4

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