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对已有的矩形巷道孔边应力研究成果进行了归纳,并提出其存在的问题。在此基础上,利用隧洞围岩应力复变函数分析法中的解析函数通式和单位圆外域-洞室外域共形映射函数计算方法,计算了不同跨高比和侧压力系数下的矩形巷道孔边应力,分析并获得了其对孔边应力分布的影响规律。给出了原岩垂直应力分量0p和水平分量0?p单独作用下矩形巷道顶板和侧帮中点的应力集中系数,并与相关研究结果进行了比较分析,结果表明,矩形巷道的计算断面与理论断面边界线间的误差对孔边应力计算值有较大的影响。采用共形映射函数计算方法获得的计算断面更逼近理论断面,采用解析函数通式进行围岩应力计算时不产生精度损失,研究成果更接近于矩形巷道理论值,可供巷道设计及围岩稳定性分析作理论参考。
The research results of the hole edge stress of the existing rectangular tunnel are summarized and the existing problems are put forward. On the basis of this, by using the analytic function general formula and the conformal mapping function of the outer circle of the surrounding rock of the surrounding rock mass, the rectangular roadway with different span ratio and lateral pressure coefficient is calculated. Hole edge stress, analyzed and obtained its influence on the hole edge stress distribution. The stress concentration factors of the rectangular roof and the side middles are given under the separate action of the vertical component 0p and the horizontal component 0? P of the original rock, and the results are compared with the results of the relevant research. The results show that the calculated section The error between the theoretical cross-section lines has a greater impact on the calculated stress at the hole edge. The calculated section obtained by the method of conformal mapping function is closer to the theoretical section, and the accuracy loss of the rock mass is calculated by the analytic function formula. The research results are closer to the theoretical value of the rectangular tunnel and can be used for the design of the roadway and the stability of the surrounding rock Sex analysis as theoretical reference.