(東北大學(xué)138信箱， 沈陽 110006)
摘 要: 用尖點(diǎn)突變理論研究了柱式開采下厚層狀粘彈性頂板巖爆的非穩(wěn)定機(jī)制與滯后現(xiàn)象，闡明了只有剛度比滿足使能量突然釋放的條件和外界能對系統(tǒng)提供足夠能量 的條件下才能發(fā)生巖爆；巖爆滯后是由于控制參數(shù)變化需要經(jīng)過一段時間才能滿足分 岔集方程所致；還導(dǎo)出了巖爆最大可能滯后時間，并對影響最大滯后時間的因素進(jìn)行了討論。
關(guān)鍵字: 巖爆發(fā)生條件 巖爆滯后時間 尖點(diǎn)突變 粘彈性
（P. O. Box 138, Northeastern University, Shenyang 110006）
Abstract: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.
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