基于突变理论的煤层关键层复合体失稳理论分析

根据突变理论,在煤层与岩层关键层复合的基础上,探讨了煤岩复合体失稳破坏的机理。基于势能原理,建立了尖点突变模型,导出其失稳的力学判据及突变时的突变变化。得出了在水平力和垂直力共同控制的空间中系统失稳的分叉集合并分析其突变过程。分析结果表明:系统发生突变的影响因素除了复合体的弹性模量与惯性矩外,主要是水平力,水平力越大,越容易失稳。

Theoretical Analysis of Coal Layer and Critical Layer Composite Instability Based on Catastrophe Theory

According to catastrophe theory,the coal and rock layer composite key basis to explore the mechanism of coal and rock complexes instability destruction. Based on the potential energy principle,the establishment of a cusp catastrophe model,derived mutations changes the mechanical criterion of instability and mutation. Come to the fork in the collection level and vertical forces jointly controlled space system instability and mutation analysis process. Analysis results show that the system factor mutation effects in addition to elastic modulus and moment of inertia of complex,mainly is the horizontal force,the horizontal force is greater,more prone to instability.