柱式开采岩爆发生条件与时间效应的尖点突变

CUSP CATASTROPHE OF OCCURRENCE CONDITIONS AND HYSTERESIS OF ROCKBURSTS IN PILLAR WORKINGS

用尖点突变理论研究了柱式开采下厚层状粘弹性顶板岩爆的非稳定机制与滞后现象，阐明了只有刚度比满足使能量突然释放的条件和外界能对系统提供足够能量的条件下才能发生岩爆；岩爆滞后是由于控制参数变化需要经过一段时间才能满足分岔集方程所致；还导出了岩爆最大可能滞后时间，并对影响最大滞后时间的因素进行了讨论。

The instability mechanism of the pillar rockbursts, which is under a thick, viscoelastic roof stratum, was discussed by applying the cusp catastrophic theory. It was explicated that the rockbursts take place only when the stiffness ratio satisfies the condition enabling energy to release abruptly, and the system has accepted enough energy from external world. It is the cause of the rockbursts hysteresis that a piece of period is needed before the control variates satisfy the equation of bifurcation set, and the factors influencing the hysteresis time were discussed.