孤立煤柱岩爆的尖点突变与时间效应

Cusp Catastraphy and Time Effection of ROck Burst on an Isolated Coal Pillar

针对粘弹性顶板下孤立煤柱岩爆问题建立了一个简单力学模型，用尖点突变理论讨论了岩爆的非稳定机制；阐明了岩爆发生条件可归结为外部对系统输入能量的条件和系统内部能量突然释放的条件；而岩爆滞后是由于控制参量变化需经过一段时间才满足分叉集方程引起的。并讨论了比值Ｋ_０／Ｋ_∞和λ／Ｋ_∞对岩爆滞后时间的影响。

A mechanical model of rock burst on an isolated coal pillar is developed,and the mechanism of the instability of rockburst is studied by cusp catastraphy theory. The occurenceconditions of rock burst are expounded to be attributed to thecondition that the system receives enough energy from externalworld,and the condition that the energy stored in system is re-leased abruptly. The hysteresis of rock burst happens whencontrol parameters satify the equation of bifurcation set in acertain period. The influence of ratios Ko/Koo upon the hys-teresis time of rock burst is discussed.