矩形巷道越来越多地被应用到实际工程当中,其巷道围岩稳定性理论分析具有重要的意义。本文建立了矩形巷道围岩分析的力学模型,运用复变函数理论推导,通过保角变化,得到了矩形巷道外围岩到复平面单位圆上的映射函数;在复变函数域内分析了矩形巷道围岩应力、变形的求解步骤;运用弹性力学、粘弹性理论等推导得到了巷道围岩应力变形的粘弹性解;给出了具体的算例,通过对结果的分析,为预测巷道围岩变形破坏提供了一定的依据。
The theory of the stability of rectangular roadway surrounding rock is more meaningful because of rectangular roadway has been increasingly applied to the engineering practice.The analysis mechanical model of the rectangular roadway surrounding rock was established by using the theory of complex-variable function to deduce the mapping function of the rectangular roadway outside surrounding rock to the complex planar of unit circle by conformal change.The solving steps of rectangular roadway surrounding rock's stress and deformation were analyzed in the complex-variable function domain.The viscoelastic solution of stress and deformation of the rectangular roadway surrounding rock was derived from elasticity,rock mechanics and viscoelastic theory.A special example was gived and some important references were provided for forecasting the deformation failure of roadway surrounding rock.