Catastrophic analysis of roof cut-off disasters in proximity to coal seam beneath a room mining goaf
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摘要: 本文针对房式采空区下近距离煤层开采时,煤柱上方顶板与直接顶来压不一致容易导致顶板切落灾害,根据煤柱在上覆荷载作用下破坏失稳的非线性变化特征,建立了顶板-煤柱-矸石的力学系统.利用尖点突变理论研究了在线性荷载作用下系统的失稳机制,获得了该系统失稳的充要条件及煤柱的变形突跳量表达式和能量释放计算量,分析了顶板-煤柱-矸石系统失稳的主要影响因素.结果表明,煤柱的失稳破坏是顶板切落的主要因素.同时,利用能量法计算了在冲击作用下的冲击动载系数和支架的工作阻力.最后结合工程实例验证了理论推导的合理性.Abstract: Aiming at the support crushing disasters in proximity to coal seam beneath a room mining goaf caused by the different pressure time of the roof above pillars and the immediate roof,according to the nonlinear variation of the pillars’ instability failure under the influence of the overlying load,a system mechanics model composed of roof-pillars-gangue was established.In addition,by using the cusp catastrophe theory,the instability mechanisms of the system under the linear loads were studied,the necessary sufficient condition for instability failure of the system and the formula of the jump value and the releasing energy of displacement of pillars were gained,and the main factors for instability failure of the system were analyzed.The results show that the unstable failure of pillars leads to the support crushing disasters.By using the energy method,the attacking dynamic factor and the working resistance of support were calculated.The rationality of the theoretical derivation has been verified by an engineering example.
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