浅埋煤层组合关键层失稳临界突变分析  

Critical catastrophic analysis of instability of combinatorial key strata in shallow coal seam

作　　者：谢胜华[1] 侯忠杰[1] 

机构地区：[1]西安科技学院能源科学与工程系,陕西西安710054

出　　处：《矿山压力与顶板管理》2002年第1期67-69,72,共4页Ground Pressure and Strata Control

基　　金：国家自然科学基金资助项目 (5 0 0 740 2 3 )

摘　　要：应用突变理论的方法 ,对组合关键层的力学模型进行了分析 ,导出了系统的总势能函数表达式并建立了该系统的尖角型突变模型 ,得到了组合关键层在水平力和垂直力控制空间中时系统失稳的分叉集 ,定量地分析了顶板的台阶下沉量以及发生失稳的条件 。In this paper, the mechanical model of combinatorial key strata is analyzed with the help of the method of catastrophe theory. The expression of the total potential energy function for this system is derived. This system can be described by the cusp catastrophe model. The bifurcation set which makes this system to loss its stability of the combinatorial key strata in the horizontal and vertical force control space is obtained, step sinking conditions of roof and its structure stability are quantitatively analyzed. It is proved that the result is practical.

关 键 词：浅埋煤层 突变理论 组合关键层 失稳 力学模型 

分 类 号：TD325[矿业工程—矿井建设]