突变理论在浅埋煤层组合关键层中的应用  

APPLICATION OF CATASTROPHE THEORY TO THE COMBINATORIAL KEY STRATA IN SHALLOW COAL SEAM

作　　者：谢胜华[1] 侯忠杰[2] 

机构地区：[1]安徽工业大学土木工程系,马鞍山243003 [2]西安科技学院能源科学与工程系,西安710054

出　　处：《力学与实践》2002年第6期42-44,共3页Mechanics in Engineering

基　　金：国家自然科学基金项目(50074023)资助.

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,并建立了尖角型突变模型.定量地分析了顶板的台阶下沉量以及组合关键层失稳的充要条件,得出的结论有实际意义.In this paper, the mechanical model of combinatorial key strata is analyzed with the help of the method of catastrophe theory, and an expression of the total potential energy function for this system is derived by the cusp catastrophe model. The bifurcation set for this system 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：突变理论 组合关键层 失稳 浅埋煤层 分类定理 临界条件 

分 类 号：TD325.1[矿业工程—矿井建设]