浅埋隧道围岩应力及位移的显式解析解

发布时间：2018-06-07 23:12

本文选题：浅埋隧道 + 应力和位移　；参考：《岩土工程学报》2014年12期

【摘要】：浅埋隧道施工引起的地层位移将传递至地表进而形成地表沉降,施工前准确预测地层位移是有效控制地表沉降的前提。基于复变函数法,利用逆映射函数求解z平面复势函数的级数形式,并结合柯西黎曼方程(C R条件)对Verruijt提出的浅埋隧道围岩应力及位移隐式解析解中的解析函数求导,得出了浅埋隧道应力及位移函数的级数显式表达式;与Verruijt隐式解析解相比,该显式解析解直观,便于被工程人员使用,其编程计算量也较小;为确定显式解析解中的未知系数,基于浅埋隧道洞室变形产生的原因,提出了3种隧道洞室边界的变形模式和2种变形比率,合理调整变形比率可以实现多种边界条件组合。工程实测地层位移与显示解析解的计算结果吻合度高,验证了所提显式解析解的正确性和实用性。
[Abstract]:The ground displacement caused by shallow tunnel construction will be transferred to the surface to form the surface settlement. Accurate prediction of the formation displacement before construction is the premise to effectively control the surface settlement. Based on the complex variable function method, using inverse mapping function to solve the series form of z plane complex potential function, and combining Cauchy Riemann equation / C / R condition), the derivation of analytic function in the implicit analytical solution of surrounding rock stress and displacement of shallow tunnel proposed by Verruijt is obtained. Compared with Verruijt implicit analytic solution, the explicit analytic solution is intuitionistic, easy to be used by engineers, and its programming calculation is less. In order to determine the unknown coefficient in explicit analytic solution, the order explicit expression of stress and displacement function of shallow tunnel is obtained. Based on the causes of deformation in shallow tunnel caverns, three deformation modes and two deformation ratios of tunnel cavern boundaries are proposed. A reasonable adjustment of deformation ratios can realize the combination of various boundary conditions. The calculated results of engineering measured formation displacement are in good agreement with the analytical solution, which verifies the correctness and practicability of the explicit analytical solution.
【作者单位】：北京交通大学城市地下工程教育部重点实验室;
【基金】：国家自然科学基金项目(51378002,51008015) 新世纪优秀人才支持计划(NCET-12-0770) 中央高校基本科研业务费专项资金项目(2012JBZ013)
【分类号】：U456.31

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