Collapse mechanism and support pressure for shallow tunnel face
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摘要: 将浅埋隧道工作面稳定性问题简化为二维问题,构造了隧道工作面破坏模式。该破坏模式由一系列刚性滑块组成,其对应的速度场在隧道工作面正前方可由竖向逐渐变为近水平向,较为符合实际。在此基础上,由破坏模式和速度场的几何关系递推计算所需的几何参数,得到浅埋隧道工作面支护反力的目标函数,并建立了优化变量的约束条件。利用Matlab编制程序求解该数学优化问题。最后通过算例得到了不同条件下维持浅埋隧道工作面稳定所需的支护反力及优化得到的破坏模式和速度场,并分析了影响工作面稳定的各个因素。Abstract: The stability of shallow tunnel face is simplified into a two-dimensional problem, and the corresponding collapse mechanism is proposed. The collapse mechanism is composed by a series of rigid blocks with its corresponding velocity field which is characterized by change of velocity vectors from vertical to nearly horizontal in front of the tunnel face. Based on the geometrical relations of the collapse mechanism, constrains of optimized variables for the collapse mechanism are established according to the object function of the shallow tunnel face support pressure, obtained after deducing geometrical parameters of collapse mechanism and velocity field needed for latter calculation. The computer program has been compiled using Matlab software, which can be used to solve the mathematic optimization problem. Finally, results for various conditions of support pressure needed for the stability of shallow tunnel face and optimized collapse mechanisms and corresponding velocity fields are also obtained. The factors that will influence the stability of shallow tunnel face are analyzed.
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Keywords:
- shallow tunnel /
- tunnel face /
- support pressure /
- stability /
- limit analysis /
- upper bound method /
- collapse mechanism
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