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为得出矩形巷道围岩应力空间分布特征,将复变函数理论推导得出的曲线坐标应力分量转换为巷道所在平面的直角坐标应力分量,采用Matlab软件对巷道应力特征点的空间数据进行分析,得出了巷道围岩应力场分布直观图。并考虑了侧压系数、高宽比及巷道断面尺寸等对围岩应力场的影响,结果表明,应力峰值随侧压系数的增大而增大。应力峰值出现在矩形巷道的四角上,与侧压系数、高宽比、巷道断面面积无关。侧压系数大于1时,顶底板水平应力和最大主应力均随侧压系数增大而增大,两帮垂直应力随侧压系数增大而减小;垂直应力峰值、两帮垂直应力随高宽比增加而减小,顶底板的水平应力和最大主应力随高宽比增加而增加。围岩应力变化规律与巷道断面面积无关。
In order to obtain the spatial distribution of stress in the surrounding rock of rectangular roadway, the stress components of the curve coordinate derived from the theory of complex variable function are transformed into the rectangular coordinate stress component of the plane of the roadway. The spatial data of the stress characteristic point of the roadway is analyzed by Matlab software, Obtained the roadway surrounding rock stress field distribution diagram. The influence of lateral pressure coefficient, aspect ratio and tunnel section size on the surrounding rock stress field is considered. The results show that the peak value of stress increases with the increase of lateral pressure coefficient. Stress peaks appear in the four corners of the rectangular roadway, with the lateral pressure coefficient, aspect ratio, the cross-sectional area of the roadway has nothing to do. When the lateral pressure coefficient is more than 1, the horizontal stress and the maximum principal stress of top and bottom plates both increase with the increase of lateral pressure coefficient, while the vertical stress of two walls decreases with the increase of lateral pressure coefficient. The vertical stress peak, Width ratio increases and decreases, the top and bottom floor of the horizontal stress and the maximum principal stress increases with the aspect ratio increases. The law of surrounding rock stress has nothing to do with the cross-sectional area of roadway.