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用突变理论分析冲击地压发生的物理过程
引用本文:潘一山,章梦涛. 用突变理论分析冲击地压发生的物理过程[J]. 辽宁工程技术大学学报(自然科学版), 1992, 0(1)
作者姓名:潘一山  章梦涛
作者单位:阜新矿业学院深部地压研究所(潘一山),阜新矿业学院深部地压研究所(章梦涛)
摘    要:本文针对煤柱冲击地压的非稳定问题,提出了一个简单的力学模型,用突变理论的尖角型突变模型研究了冲击地压发生的物理过程.得到判断冲击地压发生的必要条件和充分条件.同时得到了冲击地压发生后,顶板下沉的突跳值和所释放出来的能量表达式.本文在失稳理论的基础上,更加深化了对冲击地压失稳过程物理机制的认识.

关 键 词:突变理论  冲击地压  失稳准则

The Study of Coalburst by Catas trophic Theory
Pan Yishan Zhang Mengtao. The Study of Coalburst by Catas trophic Theory[J]. Journal of Liaoning Technical University (Natural Science Edition), 1992, 0(1)
Authors:Pan Yishan Zhang Mengtao
Affiliation:Pan Yishan Zhang Mengtao
Abstract:This paper puts forward a simple mechanics model of coal burst for the pillar and studies the mechanism of the coal burst by a CUSP type catestro-phic model.Simple formulae for the roof displacement jump and energy liberation are derived.It expounds theprtically the stiffness ratio,k of the roof to the pillar plays an important role in the outbreak of instability . The research result shows that the stability characteristic of a pillar-roof system is determined by the stiffness distribution in the system and the condition for instability is k>1.
Keywords:cata strophic theory  coal burst  criterion of unstability  
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