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条带煤柱的突变破坏失稳理论研究
引用本文:郭文兵,邓喀中,邹友峰.条带煤柱的突变破坏失稳理论研究[J].中国矿业大学学报,2005,34(1):77-81.
作者姓名:郭文兵  邓喀中  邹友峰
作者单位:1. 河南理工大学,资源与材料工程系,河南,焦作,454000
2. 中国矿业大学,环境与测绘学院,江苏,徐州,221008
基金项目:国家自然科学基金项目(50474064),河南省自然科学基金项目(041105020)
摘    要:条带开采煤柱的稳定与否是条带开采成败的关键.其破坏失稳是典型的偏离平衡态的非线性过程.应用突变理论建立了条带煤柱突变破坏失稳的尖点突变模型,导出了条带煤柱破坏失稳的充要条件表达式.并根据模型对条带煤柱破坏失稳的机理进行了分析,认为条带煤柱核区率≤11.92%时,满足了条带煤柱突变失稳的必要条件,存在突变破坏失稳的可能性.

关 键 词:条带煤柱  条带开采  破坏  失稳  采煤  尖点突变模型  突变理论  充要条件  平衡态  表达式
文章编号:1000-1964(2005)01-0077-05
修稿时间:2003年12月4日

Study on Failure and Instability of Strip Coal Pillar by Catastrophic Theory
GUO Wen-bing,DENG Ka-zhong,ZOU You-feng.Study on Failure and Instability of Strip Coal Pillar by Catastrophic Theory[J].Journal of China University of Mining & Technology,2005,34(1):77-81.
Authors:GUO Wen-bing  DENG Ka-zhong  ZOU You-feng
Affiliation:GUO Wen-bing~1,DENG Ka-zhong~2,ZOU You-feng~1
Abstract:Whether the strip coal pillar is stable or not is one of the key problems of strip-partial mining. The instability of strip coal pillar is a typical nonlinear process. By applying catastrophic theory, a cusp catastrophic model for failure instability of strip coal pillar was set up. The formula of fully essential condition for instability failure of strip coal pillar was derived. Furthermore, the instability mechanism of strip coal pillar was analyzed according to the cusp catastrophic model. The model indicates that when the kernel pillar ratio is less than 11.92%, there is the probability of catastrophic instability.
Keywords:strip-partial mining  strip coal pillar  catastrophic theory  cusp catastrophic model
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