非对称开采时矿柱失稳的尖点突变模型

针对非对称开采时矿柱稳定性问题建立了一个简化的力学模型．基于势能原理,应用尖点突变理论对矿柱成为非稳定系统进行了探讨,导出了失稳的充要条件、矿柱变形突跳量和能量释放表达式,为定量研究其失稳问题奠定了基础．结果表明:系统的失稳不仅与其所受载荷有关,而且与其内部刚度分配有关,当相对刚度值越大,所承受的临界载荷也越大,越不容易失稳．反之,越容易失稳,且失稳时所释放的能量越大,危害也越大．给出了算例,其计算结果可为安排开采顺序、合理布置采场等提供依据．     

CUSP CATASTROPHE MODEL OF INSTABILITY OF PILLAR IN ASYMMETRIC MINING

IntroductionSometimes, symmetric mining is not carried into execution by the geologic conditionrestriction, and the stability of rock is more important with extending of the mining depth,which affects mine safety and mining layout of ore body. Pillars sup…