狭窄煤柱冲击地压的折迭突变模型  

Fold catastrophe model of rockburst in narrow coal pillar

作　　者：潘岳[1] 王志强[1] 

机构地区：[1]青岛建筑工程学院土木工程系,山东青岛266520

出　　处：《岩土力学》2004年第1期23-30,共8页Rock and Soil Mechanics

基　　金：山东省自然科学基金资助项目(编号:Y2002-A03)。

摘　　要：对简化的狭窄煤柱岩爆分析模型,通过功、能增量平衡关系的途径,导出狭窄煤柱岩爆的突变模式属折迭突变模型。该突变模型的平衡方程和平衡路径所展示的全部性态, 可对煤柱以岩爆形式破坏和渐进形式破坏过程中,包括系统稳定性在内的所有行为,作一一相对应的描述。并首次给出的岩梁弹性能变化(释放)率曲线包含了丰富的信息量,对理解岩梁-煤柱系统在各阶段的行为规律有着重要的作用。所给出的能量输入率0=J,是系统失稳临界条件的提法和表达式中蕴涵了Cook刚度判据,故看作是Cook判据能量形式的动态推广。利用能量输入率可将极限状态下岩煤系统稳定性的定性认识提高到用定量形式描述,为岩煤系统稳定性的表述赋予新的形式。For simplified analytic model of rockburst in narrow coal pillar, the catastrophe model of rockburst in narrow coal pillar belongs to the fold catastrophe model and can be educed by equilibrium relation of work-energy increment from energy conservation principle. All characteristics, demonstrated by the equilibrium equation and its equilibrium path of the catastrophe model, can describe all behaviors including system's stability of failure process in coal pillar by form of rockburst and gradual damage one by one correspondingly. The curve of elastic energy changing rate of rock beam, which includes abundant information, is given for the first time; it has great significance in understanding the behavior and law of rock beam- coal pillar's system in each phase. Parlance and expression, given in the article, that energy importing rate J = 0 is system destabilization critical condition implicates Cook stiffness criterion, so it's a dynamic generalization of Cook criterion in the form of energy. Using energy importing rate, understanding in the stability of rock-coal system under ultimate state can be improved from qualitative understanding to quantitative description; and the expression of the stability of rock-coal system is also endue with a new form.

关 键 词：煤柱岩爆 功能增量平衡关系 折迭突变模型 能量输入率 能量释放率 

分 类 号：TD324[矿业工程—矿井建设]