矩形巷道围岩应力分布的复变函数解

    Complex Function Solution of Stress Distribution in Surrounding Rock of Rectangular Roadway

    • 摘要: 为确保煤矿深部开采中矩形巷道的安全,需了解巷道附近围岩的应力分布及其影响因素。采用复变函数的方法,研究双向压力作用下的矩形巷道,得到了围岩中应力的解析解。给出了沿巷道边和水平轴的应力分布,并讨论了矩形巷道的长宽比和面积对应力的影响。结果表明:在矩形巷道的角点处,有应力集中的现象,应力分量都达到了最大值;随矩形巷道长宽比增加,应力最大值增加;长宽比相同时,改变矩形巷道孔口的面积,应力分布不会改变。

       

      Abstract: To ensure the safety of rectangular roadway in deep mining, the stress distribution of surrounding rock in the vicinity of the roadway and its influencing factors must be understood. The rectangular tunnel under biaxial compression is studied by complex variable method, and the analytical solution of stress in the surrounding rock is obtained. The stress distribution along the edge and horizontal axis of roadway is given, and the influence of the aspect ratio, and the area of the rectangular roadway on the stress is discussed. The results showed that there is the phenomenon of stress concentration in the corner of the rectangular roadway, and the stress components have reached the maximum values. The stress values increase with the aspect ratio of the rectangular roadway. For the same aspect ratio, the stress distribution is not change by changing the area of the aperture of the rectangular roadway.

       

    /

    返回文章
    返回