考虑侧向土体作用的基坑开挖诱发管道隆起简化解

    Simplified solution of pipeline heave induced by excavation considering lateral soil action

    • 摘要: 采用两阶段分析法提出了考虑侧向土体影响的上部基坑开挖诱发埋地管道竖向变形简化解。其中采用Mindlin解计算基坑开挖引起的附加应力,采用Kerr地基上的Euler-Bernoulli连续梁模拟埋地管道,同时考虑管道侧向土体作用,基于有限差分法推导得到管道在基坑开挖作用下的竖向变形简化解。通过与已有工程实测和数值模拟结果对比分析来验证所提方法的合理性,研究结果表明:所提方法计算的管道竖向位移与实测和数值结果较为一致,而基于Pasternak地基的方法则略微高估了管道竖向位移,忽略侧向土体作用力会导致对管道竖向隆起的低估。参数分析表明:增大基坑开挖长度和宽度都会增大管道隆起位移,但长边开挖对管道隆起位移的影响比宽边开挖更为显著;增加地基弹性模量会导致管道最大隆起位移、最大弯矩和最大剪力均近似非线性减少,且基坑开挖深度越大降低幅度愈加明显。

       

      Abstract: Based on the two-stage analysis method, a simplified solution for vertical deformation of buried pipelines induced by the excavation considering the effects of lateral soil is proposed. First, the Mindlin's solution is used to obtain the vertical additional stress due to the excavation. Second, the buried pipeline is simplified as a Euler-Bernoulli continuous beam lying on the Kerr foundation. The effects of lateral soil are further considered, and a simplified solution for vertical deformation of the existing pipeline induced by the excavation is then derived by the finite difference method. Finally, the feasibility of the proposed method is verified through comparison with the field measurements and numerical results. The results indicate that the vertical displacements of the existing pipeline calculated from the proposed method are consistent with the measured and numerical results, while the Pasternak foundation method slightly overestimates vertical displacements of the pipeline. In addition, neglecting lateral soil forces can lead to an underestimation of vertical uplift in pipeline. Parameter analysis also shows that increasing the excavation length and width will both increase pipeline heave, however, the adverse effects induced by an excavation along the long side are more serious than an excavation along the wide side; Increasing the elastic modulus of the foundation will lead to an approximate nonlinear reduction in the maximum heave displacement, maximum bending moment and maximum shearing force of the pipeline, and the greater the excavation depth, the more obvious the reduction.

       

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