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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。
In order to study the failure mechanism of subsoil under confined water mining, the mining floor is simplified as a rectangular thin plate, and the four sides are fixed and the upper part is subjected to the mechanical analysis model under uniform load. Based on the theory of elasticity and thin plate, the deformation and force characteristics of the bottom plate are analyzed, and the expression of the bottom drum is derived. The maximum bottom drum and the maximum stress position, the maximum bottom drum and the elastic modulus of the bottom rock mass are obtained. Thickness, Poisson’s ratio of floor rock mass, floor length, floor width and floor rock mass density. According to the ultimate stress intensity of the floor rock, so as to determine whether the bottom plate is damaged, the thin plate will start to break at the midpoint of the long side, and the size and direction of the main bending moment are obtained according to the theory of elastic mechanics thin plate, Provide a theoretical basis. Using mathematic analysis software MATLAB to draw the floor deformation, horizontal stress and shear stress three-dimensional distribution map, and get the bottom plate destruction area and form.