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以某矿首采工作面上覆高位岩浆岩条件为背景,根据高位硬厚岩层的空间结构及边界基础特征,建立了高位硬厚岩层弹性基础支承下的Winkler基础正交梁力学模型,推导出高位硬厚岩层走向和倾向的弯矩及挠度表达式,得到了特征弯矩及其位置的计算式,分析了特征弯矩在工作面推进过程中的演化规律.研究表明:高位硬厚岩层在边界基础支承下,走向及倾向的最大弯矩和起始破断位置在采空区中部,具有边界基础变形效应.初次破断步距随工作面长度的增加呈现似“W”型变化趋势,并分为稳定、步距变化和步距稳定3个阶段;随弹性基础特征参数β的增大呈现单调递增的变化趋势.采用弹性基础正交梁理论可预测高位硬厚岩层的破断步距,并通过工程实例验证了考虑边界弹性基础变形效应是合理的.
Based on the condition of overlying high level magmatic rocks in the first mining face of a mine, the mechanical model of Winkler foundation orthogonal beam supported by elastic foundation of high hard rock is established according to the spatial structure and boundary basic features of high-level hard rock. The expression of bending moment and deflection of the strike and inclination of high hard rock, the formula of characteristic moment and its position are obtained, and the evolvement law of characteristic moment during the advancing of working face is analyzed. The results show that: The maximum bending moment and initial rupture position of the strike and dip under boundary foundation support have the deformation effect of the boundary in the middle of the goaf, and the initial breaking step shows a trend of “W ” with the increase of working face length, And is divided into three stages of stability, step change and step stability. With the increase of elastic foundation characteristic parameter β, the trend of monotonous increasing is presented. Using the basic orthogonal elastic beam theory can predict the breaking step of high-level hard rock, The engineering example shows that it is reasonable to consider the deformation effect of the boundary elastic foundation.