动静加载下组合煤岩破坏失稳的突变模型和混沌机制  

Nonlinear catastrophy model and chaotic dynamic mechanism of compound coalrock unstable failure under coupled static-dynamic loading

作　　者：刘少虹[1,2] 

机构地区：[1]煤炭科学研究总院开采设计研究分院,北京100013 [2]天地科技股份有限公司开采设计事业部,北京100013

出　　处：《煤炭学报》2014年第2期292-300,共9页Journal of China Coal Society

基　　金：国家重点基础研究发展计划(973)资助项目(2010CB226806);国家科技支撑计划资助项目(2012BAK09B01)

摘　　要：为进一步加深对动载诱发冲击地压机理的认识,采用时效损伤本构模型与尖点突变理论相结合,得到了一维动静加载下煤岩组合系统的破坏判据、突跳位移以及释放总能量的数学表达式。并建立一维动静载下煤岩组合系统的非线性动力学模型,发现外载能量与系统自身固有能量之间的相互作用导致模型的演化过程呈阶段性并出现混沌现象;当组合系统本身的非线性作用与外部载荷的作用能力相当时,系统的演化进入混沌阶段。由此得出,井下煤岩体结构与动静载荷之间的相互作用是影响动载诱发冲击地压演化过程的关键。最后,对理论结果进行一维动静加载试验验证,表明理论和试验值吻合较好。In order to deepen understanding the mechanism of rockburst induced by dynamic loading, the judgement formula of failure, catatrophic displacement and the total released energy of compound coal-rock under coupled staticdynamic loading were obtained by time dependent damage model and catastrophe theory. And, nonlinear dynamic model of compound coal-rock under coupled static-dynamic loading was established. Based on this, author found that the interaction of loading energy and system inheret energy lead that the model evolution exhibits stepwise and chaotic characteristic. When the roles of the nonlinear system itself and of the external loads are the same, the system begin to enter the chaotic evolution stage. It follows that the interaction between the mine coal-rock structure and the coupled static and dynamic loadings is the key of the evolution of dynamic rockburst. At last, the experiments of coupled dynamic and static loadings vertified the theoretical results, and it shows that the theoretical analysis are in good agree- ment with the experimental values.

关 键 词：动静加载 煤岩组合系统 突变理论 混沌理论 冲击地压 

分 类 号：TD324[矿业工程—矿井建设]