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中文摘要：
将顶板视为中点有支承的弹性固结梁，将煤柱视为支座，形成了顶板-煤柱系统。在煤岩体本构关系中考虑应变梯度的影响，得到了煤柱的失稳判据，进而分析了煤柱岩爆的影响因素。分析表明，顶板的跨径、顶板的抗弯刚度、煤柱的尺寸、煤柱的脆性、煤岩材料的均匀性和矿物颗粒的大小是煤柱岩爆的重要影响因素。
英文摘要：
The roof of cavern is regarded as an elastic beam with support at the midpoint and the coal pillars are regarded as bearings so as to establishing a cavern roof- coal pillar system. The influence of strain gradient is taken into account in the constitutive relation of coal or rock, the instability criterion of coal pillar is given, the influence factors of rock burst in coal pillar are analyzed. It is indicated that the span and flexural stiffness of cavern roof, the dimension and brittleness of coal pillar, the uniformity of coal material and the size of mineral grain are the important factors influencing rock burst of coal pillar.
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