承压水上开采底板破坏机理研究

    Research Floor Damage Mechanism on Mining Above Confined Water

    • 摘要: 为研究承压水上开采底板破坏机理,将开采底板简化为矩形薄板、四边固定且上部承受均布载荷作用的力学分析模型。运用弹性力学薄板理论,分析底板的变形、受力特点,推导出了计算底鼓的表达式,得到最大底鼓量以及最大应力位置,最大底鼓量与底板岩体的弹性模量、底板的厚度、底板岩体的泊松比、底板长度、底板宽度以及底板岩体的密度相关。根据底板岩层的极限应力强度,从而可以判断底板是否破坏,得到薄板将在长边中点处开始发生破坏,同时根据弹性力学薄板理论得到主弯矩的大小和方向,从而为底板破坏的治理措施提供理论依据。应用数学分析软件MATLAB绘制底板变形量、水平应力以及剪应力三维立体分布图,并得到底板破坏区域及形式。

       

      Abstract: In order to study the failure mechanism of floor mining above confined water, the floor is simplified to the mechanical model of clamped-edge rectangular thin plank, which bears even load on the upper surface. Basic theory of elasticity thin plank is utilized, floor deforming destruction and strained condition are analyzed, the floor heave of roadway formula is deduced, and the maximum floor heave and the position of stress are obtained, which are related to the elastic modulus, the thickness and length and width of the floor, the Poisson's ratio and unit weight. According to the compressive strength of floor, it's able to judge whether the floor is damage, and the center point of long side begins to destroy. At the same time, according to theory of elasticity thin plank, we can get the size and direction of the main moment, and provide theoretical basis for floor damage control measures. We obtain the damage area and form through the MATLAB software. The three dimensional distribution map of deflection horizontal stress and shear stress of the floor are drawn.

       

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