矿柱失稳的突变分析  

Pillar cusp catastrophe analysis of instability

作　　者：韩颖[1] 杨志龙[1] 

机构地区：[1]河南理工大学能源科学与工程学院,河南焦作454000

出　　处：《中国矿业》2013年第1期86-88,102,共4页China Mining Magazine

基　　金：河南省教育厅自然科学研究计划项目资助(编号:2009B440004);河南省教育厅自然科学研究计划项目资助(编号:2011B440002);河南理工大学博士基金项目资助(编号:B2008-15);河南理工大学青年骨干教育师项目资助

摘　　要：对顶板-矿柱围岩系统进行了简化,将矿柱近似为由弹性元件和塑性软化元件串联组成,建立了顶底板-矿柱系统的力学模型;基于突变理论建立了顶板-矿柱围岩系统失稳发生冲击地压的尖点突变模型,得出矿柱失稳的充要条件。分析了影响矿柱失稳的因素,可以为实际的生产设计提供参考。Surrounding rock system of the roof-pillars is simplified, the pillar was approximated to the elastic element and the plastic softening element connected in series, the roof and floor-pillar system is established. The cusp catastrophe model is established based on the catastrophe theory, which could induced rock burst by roof-pillar rock system instability, and then the necessary and sufficient conditions of pillar destabilization is obtained. Analysis of the influence factors of instability of pillar is done,which can provide a reference for designing of the actual production.

关 键 词：矿柱 冲击地压 失稳 尖点突变 

分 类 号：TD32[矿业工程—矿井建设]