矩形巷道围岩应力分布特征

Stress Distribution Characteristics of Rectangular Roadway Surrounding Rocks

为得出矩形巷道围岩应力分布特征,根据复变函数理论推导得出了矩形巷道围岩应力解析式并采用巷道围岩沿线分布和matlab软件对巷道围岩应力进行仿真分析两种方法对巷道围岩应力分布特征进行分析.以沿水平线φ=0的围岩应力分布规律为例进行巷道围岩沿线应力分布分析,得出了侧压系数对巷道径向应力和环向应力大小影响规律;侧压系数对径向应力和环向应力峰值出现位置影响规律;围岩至巷道右帮距离与径向应力和环向应力变化规律.以侧压系数对围岩应力空间分布影响为例采用matlab软件对巷道围岩应力仿真分析,得得到了巷道围岩应力空间分布图,可比较方便直观的得到巷道围岩任意位置应力分布情况,还得出了不同巷道尺寸及不同侧压下应力集中系数峰值位置均出现在矩形巷道的四角上.研究结果为巷道支护设计提供了理论依据.

In order to obtain the stress distribution characteristics of rectangular roadway surrounding rocks, the stress analytic formula of rectangular roadway surrounding rocks was deduced based on complex function theory. The stress distribution characteristics of rectan- gular roadway surrounding rocks were analyzed through two methods. The two methods are the distribution along the roadway surrounding rock and the simulation analysis on stress of roadway surrounding rock with MATALB software. The stress of surrounding rock was ana- lyzed by using the methods of distribution along the roadway surrounding rock. For example, with the stress distribution laws of φ = 0, the following rules were obtained. They are the change laws between side pressure coefficient and radial stress and circumferential stress, the effects rules of side pressure coefficients on locations of peak radial stress and peak circumfer- ential stress, the change laws between distance from surrounding rock to right working slope of roadway and radial stress and circumferential stress. The simulation analysis on stress of roadway surrounding rock was conducted by using MATALB software. For example, with analysis on effects of side pressure coefficient on stress distribution of surrounding rocks, the spatial distribution diagram of surrounding rock stress was obtained. The stress distribution of roadway surrounding rocks at any position can be known intuitively with the diagram. And the peaks of side pressure coefficients are appears in the four corner areas.