基于尖点突变理论的矿房间矿柱的稳定性分析

为了便于分析，对矿房矿柱系统进行了简化，简化后变为固支梁-矿柱力学系统，同时建立了它们的力学模型。根据力学系统的本构关系，确立了尖点突变理论模型。通过分析表明矿柱失稳只跟矿房矿柱自身的内部条件有关，而与外界的作用无关。同时还研究了矿柱突跳失稳的释能机制，研究表明，失稳所释放的能量也仅跟矿房矿柱系统自身有关。最终得出结论，合理优化矿房矿柱自身系统的力学-几何特性参数，破坏产生矿柱突变失稳的充要条件，是控制矿柱稳定性、保证安全生产的有效手段。

Stability Analysis of Intermittent Pillar between Stope Rooms Based on Cusp Catastrophe Theory

To facilitate the analysis, room-pillar system is simplified into a built-in beam-pillar mechanical system and its mechanical model is established. According to the constitutive relation of mechanical system, the cusp catastrophe theoretical mode is built. It is shown through analysis that the instability of pillar is only dependent on its internal conditions and independent of the external function. The energy release mechanism of the pillar sudden instability is also studied, which indicates that the energy release due to instability is also only related to the room-pillar system itself. The conclusion is finally drawn that to rationally optimize the mechanical-geometrical property parameters of the room-pillar system itself so as to destruct the necessary conditions for the pillar sudden instability is the effective means to control the pillar stability so as to ensure a safety production.