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含有隐伏柱状空洞的轨道路基地层空间应力分布理论分析

Theoretical Analysis on the Characteristics of Spatial Stress Components Distribution of the Track Subgrade Strata with Hidden Columnar Cavity

  • 摘要: 在城市化建设的大背景下,轨道建设蓬勃发展。在工程施工和使用过程中,由于隐伏空洞的存在,地面塌陷灾害屡有发生。因此,明晰在多因素耦合作用下路基地层的应力分布特征,对于确保地面稳定尤为重要。由此,本文开展含有隐伏柱状空洞的轨道路基地层空间应力分布理论分析。首先,综合考虑路基自重及车辆均布荷载的影响,建立空间计算模型。然后,应用弹性力学基本理论,求得各应力分量的数学表达式。同一工况下数值模拟结果和解析解计算结果对比分析显示,竖向应力的吻合度较高,径向应力和环向应力存在一定的误差,但最大误差均小于5%。并且,这种误差随着半径的增大具有逐渐减小的趋势,当距离达到3倍直径后误差基本消失。所求得的理论解具有结果准确、计算量小的优点,为地面稳定性量化评价指标的推定和易发性评价模型的构建提供了有力支撑。

     

    Abstract: In recent years, the development of urbanization is rapid, and ground collapse happened frequently. During the construction and use of engineering projects, ground collapse disasters frequently occur due to the presence of hidden cavities. Therefore, clarifying the stress distribution characteristics of the subgrade layer under the coupling of multiple factors is particularly important for ensuring ground stability. Therefore, this article conducts a theoretical analysis of the spatial stress distribution in the base layer of a railway track containing concealed columnar voids. Firstly, considering the unit gravity of the subgrade and vehicle, a spatial model was generated. Subsequently, the expressions of stress components were obtained using the theory of elasticity. The numerical simulation result of vertical stress is in good agreement with the theoretical calculation result. There are some errors in value for the radial and circumferential stress. However, the maximum error is less than 5%. Moreover, this error gradually decreases with the increase of radius, and disappears when the distance reaches three times the diameter. The present analysis indicates that the solved general solution could reflect the distribution of stress accurately, and is feasible to practical application.

     

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