孟祥军. 沿空掘巷沿空侧向顶板变形与弯矩的基础梁分析[J]. 煤矿安全, 2021, 52(5): 207-215.
    引用本文: 孟祥军. 沿空掘巷沿空侧向顶板变形与弯矩的基础梁分析[J]. 煤矿安全, 2021, 52(5): 207-215.
    MENG Xiangjun. Analysis of foundation beam of lateral roof deformation and bending moment in gob-side driving roadway[J]. Safety in Coal Mines, 2021, 52(5): 207-215.
    Citation: MENG Xiangjun. Analysis of foundation beam of lateral roof deformation and bending moment in gob-side driving roadway[J]. Safety in Coal Mines, 2021, 52(5): 207-215.

    沿空掘巷沿空侧向顶板变形与弯矩的基础梁分析

    Analysis of foundation beam of lateral roof deformation and bending moment in gob-side driving roadway

    • 摘要: 为揭示沿空侧向顶板的变形、损伤及破断规律,基于弹塑性力学及矿压理论,考虑基础的塑性应变软化,建立了沿空侧向基本顶的双参数弹塑性基础梁模型,采用差分法求解了梁的挠曲线方程,分析了顶板挠度、弯矩及基础反力的变化规律。结果表明:在分析顶板的受力变形问题时,采用弹性基础梁模型会导致部分结果与实际情况有一定的误差;考虑基础的塑性软化模型后,基础梁的挠度增加,基础反力的峰值下降,峰值位置向深部转移,结果更加符合实际情况;载荷峰值位置是基础梁的挠度、弯矩及基础反力的重要影响因素,在基本顶破断前弯矩峰值距煤壁的距离随载荷峰值距煤壁的距离增加而近似线性增加;巷道宽度发生变化时,煤柱宽度对基础梁挠度、弯矩及基础反力的影响也发生变化,其中巷道宽度为5 m时,煤柱宽度为4 m,基本顶的峰值挠度和弯矩为最小值。

       

      Abstract: In order to provide a theoretical basis for the deformation, damage and breaking of the lateral roof, based on elastoplastic mechanics and mine pressure theory, considering the plastic strain softening of the foundation, a two-parameter elastoplastic foundation beam model along the lateral base is established. The difference curve method is used to solve the deflection curve equation of the beam and the variation law of roof deflection, bending moment and basic reaction force is analyzed. The results show that: when the stress deformation problem of the roof is analyzed, the elastic foundation beam model will lead to some errors between the partial results and the actual situation; after considering the basic plastic softening model, the deflection of the foundation beam increases, and the peak of the basic reaction force declines, the peak position shifts to the deep part, and the result is more in line with the actual situation; the peak position of the load is an important factor affecting the deflection, bending moment and foundation reaction force of the foundation beam. The distance between the peak bending moment and the coal wall increases linearly with the increase of the distance between the peak load and the coal wall before the basic roof breaking. When the roadway width changes, the influence of the coal pillar width on the deflection, bending moment and foundation reaction force of the foundation beam also changes. When the roadway width is 5 m and the coal pillar width is 4 m, the peak deflection and bending moment of the base roof are the minimum values.

       

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