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煤矿深部开采中矩形巷道变形严重,但是现有弹塑性理论都是对圆形或椭圆形巷道进行的理论应力分析。复变函数方法能处理复杂形状边界的力学问题,为了解决矩形巷道的围岩稳定问题,利用复变函数理论对矩形巷道进行应力分析。通过复变函数和黏弹性理论推导出矩形巷道的周边应力集中系数,并分析了应力集中系数和时间、不同θ值的关系,研究结果表明:应力集中系数随时间而降低,两帮的应力集中系数要大于顶底板。
The deformation of rectangular roadway in deep mining of coal mine is serious, but the existing elasto-plastic theory is the theoretical stress analysis of circular or oval roadway. The complex variable function method can deal with the mechanical problems of complex shape boundary. In order to solve the stability problem of the surrounding rock of rectangular roadway, the stress analysis of rectangular roadway is carried out by the theory of complex variable function. Through the complex function and viscoelastic theory, the surrounding stress concentration coefficients of rectangular roadway are deduced, and the relationship between stress concentration factor and time and different θ values is analyzed. The results show that the stress concentration factor decreases with time and the stress concentration The coefficient is greater than the top floor.