煤柱失稳的突变学特征研究

对建立在力学分析基础上的条带开采煤柱失稳条件进行拓扑变换。得到煤柱失稳的势函数。它符合尖点突变模式．结果表明;煤柱失稳具有突变、缓慢2条路径。相应地形成了煤柱失稳的突然猛烈破坏和较缓慢的“瘫软”破坏;在失稳临界点附近煤柱失稳具有发散性。即控制变量有微小的变化就会引起煤柱失稳;煤柱一旦失稳,如要使其恢复到稳定状态,需要的煤柱强度要比煤柱破坏时的强度大的多;煤柱失稳还具有模态软化特性,可以对失稳的可能性进行估计．根据这些特性,可通过调控煤柱失稳条件使之不失稳,达到控制煤柱稳定的目的．

Study on Catastrophe Characteristics of the Destabilization of Coal Pillars

The destabilization conditions of the coal pillar based on the mechanics analysis were topologized,and the potential function of the coal pillar was obtained,which accords with the model of cusp catastrophe.The results show that the coal pillar destabilization has catastrophe and gradualness paths,which correspondingly cause the violent destroy and the gradualness "weak" destroy.At the critical point of destabilization,the destabilization of the coal pillar is divergent,which means the small changes of the control variables will cause the destabilization of the coal pillar.When the destabilization of the coal pillar occurred,it needs much more strength of coal pillar to restore to the steady state than that when destroying.The coal pillar has mode-soft behaviour,so it is possible to estimate the destabilization.On the basis of these,the coal pillars can be kept stable by adjusting and controlling the destabilization conditions.