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基于板壳理论建立了两邻边固支、两邻边简支条件下高位主关键层的力学模型,利用瑞利-里兹法,推导出高位主关键层弯曲挠度函数的近似解析式和应力分布表达式,求解出高位主关键层破断跨度的计算式,并分析了该条件下的破断规律。根据现场微震监测,研究了高位主关键层破断运移与微震活动之间的关系。研究结果表明:该边界条件下主关键层破断前的最大挠度点靠近两简支边侧;主关键层破断失稳过程中,当破断前悬跨系数大于1时,主关键层沿倾向固支边上表面首先发生破断,当悬跨系数小于1时,主关键层沿走向固支边上表面首先发生破断,且主关键层破断跨度a与倾向悬露长度b的关系曲线呈W型。高位主关键层破断运移时诱发大能量微震事件,其破断步距和形式的分析结果与强微震活动规律相一致。
Based on the plate and shell theory, the mechanical model of the high principal critical layer with two adjacent edges fixed and two adjacent edges simply supported is established. By using the Rayleigh-Leitz method, the approximate analytical expression and stress of the principal deflection of the main critical layer Distribution expression to solve the main high-level key layer rupture span of the formula, and analysis of the rupture rules. According to the on-site microseism monitoring, the relationship between the fracture propagation and the microseismic activity of the main high-level key layer was studied. The results show that the maximum deflection point of the main critical layer near the boundary is close to the two simple supported sides under the boundary conditions. During the failure of the main key layer, when the pre-break span coefficient is greater than 1, When the suspension coefficient is less than 1, the main critical layer first breaks along the upper surface of the support leg, and the relationship between the breaking rate of the main critical layer a and the length b of the tendon is W-shaped. High-energy main microseismic event triggered by rupture of high-level key layer is consistent with the strong microseismic activity.