煤岩体失稳的突变理论模型  

The Catastrophic Theory Model of Instability of Coal and Rock Mass

作　　者：尹光志[1] 李贺[1] 鲜学福[1] 冯涛[1] 

机构地区：[1]重庆大学资源及环境工程学院,湘潭矿院

出　　处：《重庆大学学报（自然科学版）》1994年第1期23-28,共6页Journal of Chongqing University

基　　金：重庆大学青年科学基金

摘　　要：用突变理论的方法研究了在水平力和垂直力作用下煤岩体的稳定性问题。导出了系统的，总势能函数表达式并建立了该系统的尖角（ＣＵＳＰ）型突变模型，得出了水平力和垂直力控制空间中使系统失稳的分叉集并分析了由于它们的变化而导致煤岩体状态突变的过程。In this paper,the stability problems of coal and rock mass exerted by horizontaland vertical forces are studied with the help of the method of catastrophic theory. The expression ofthe total potential energy function for this system is derived. This system can be described by thecusp catastrophe model. The bifurcation set which makes this system to loss its stability in the hori-zontal and vertical force control space is obtained. At the same time ,the process of Sudden statechange of coal and rock due to the changes of horizontal and vertical forces is discussed.

关 键 词：煤岩 岩移理论 岩体失稳 突变理论 

分 类 号：TD325.1[矿业工程—矿井建设]