In order to solve the problem that current theory models cannot accurately describe thick-hard roof (THR) elastic energy and assess the mine tremor disasters, a theoretical method, a Timoshenko beam theory on Winkler foundation was adopted to establish the THR’s periodic breaking model. The superposition principle was used for this complex model to derive the calculation formulas of the elastic energy and impact load on hydraulic supports. Then, the influence of roof thickness h, cantilever length L1, and load q on THR’s elastic energy and impact load was analyzed. And, the effect of mine tremor disasters was assessed. Finally, it is revealed that: (1) The THR’s elastic energy U exhibits power-law variations, with the fitted relationships U=0.0096L13.5866, U=5943.9h−1.935, and U=21.049q2. (2) The impact load on hydraulic supports FZJ increases linearly with an increase in the cantilever length, thickness, and applied load. The fitted relationships are FZJ=1067.3L1+6361.1, FZJ=125.89h+15100, and FZJ=10420q+3912.6. (3) Ground hydraulic fracturing and liquid explosive deep-hole blasting techniques effectively reduce the THR’s cantilever length at periodic breakages, thus eliminating mine tremor disasters.

中文翻译：

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厚硬顶板能量聚集和分散引起的矿井地震灾害评估与防治


为了解决现有理论模型无法准确描述厚硬顶板(THR)弹性能和评估矿井震动灾害的问题，采用Winkler基础上的Timoshenko梁理论的理论方法建立了厚硬顶板的周期性破坏模型。该复杂模型利用叠加原理推导了液压支架弹性能和冲击载荷的计算公式。然后，分析了顶板厚度h、悬臂长度L1和荷载q对THR弹性能和冲击荷载的影响。并且，评估了矿震灾害的影响。最后发现：（1）THR的弹性能U呈现幂律变化，拟合关系为U=0.0096L13.5866、U=5943.9h−1.935、U=21.049q2。 (2)液压支架FZJ的冲击载荷随着悬臂长度、厚度和施加载荷的增加而线性增加。拟合关系为FZJ=1067.3L1+6361.1、FZJ=125.89h+15100、FZJ=10420q+3912.6。 （3）地面水力压裂和液体炸药深孔爆破技术，有效降低了THR周期性破坏时的悬臂长度，消除了矿震灾害。