A simplified mechanical model of pillar_hang wall was established in asymmetric mining and instability of the system was discussed by means of potential energy principle and cusp catastrophe theory.

• 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。