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为得出矩形断面巷道围岩应力分布特征,采用复变函数解法对矩形巷道围岩弹性应力进行解析,得出了应力分量的曲线坐标表达式;分析了巷道高宽比和侧压对围岩应力的影响。结果表明,高宽相等时巷道最大应力最小,边界最大应力随侧压系数增大而增大。无论侧压和高宽比如何变化,四角附近区域应力集中系数均最大。同高宽比情况下,随侧压增加,矩形巷道径向应力的峰值近似呈线性增加,环向应力峰值减小,径向应力和环向应力峰值均向围岩内部迁移。相同侧压下,随巷道高宽比增大,径向应力和环向应力峰值均向围岩内部迁移。相同高宽比和侧压下,距离巷道右帮越远,径向应力越大,环向压应力先增后减。
In order to obtain the stress distribution characteristics of the surrounding rock of rectangular cross-section roadway, the complex strain function method is used to analyze the elastic stress of the surrounding rock of rectangular roadway, and the curve coordinate expression of the stress component is obtained. The effect of roadway aspect ratio and lateral pressure on surrounding rock Effect of stress. The results show that the maximum stress of the roadway is the smallest when the height and width are equal, and the maximum stress increases with the increase of the lateral pressure coefficient. No matter how the lateral pressure and the aspect ratio change, the stress concentration coefficient in the four corners is the largest. With the same aspect ratio, the peak value of radial stress in rectangular roadway increases linearly with the increase of lateral pressure, the peak value of hoop stress decreases, and both the peak value of radial stress and hoop stress migrate to the interior of surrounding rock. Under the same lateral pressure, as the aspect ratio of the roadway increases, both the radial stress and the circumferential stress peak migrate to the interior of the surrounding rock. Under the same aspect ratio and lateral pressure, the farther the distance from the right lane of the roadway, the greater the radial stress, and the circumferential compressive stress first increases and then decreases.