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条带煤柱的突变破坏失稳理论研究 被引量:43

Study on Failure and Instability of Strip Coal Pillar by Catastrophic Theory
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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. 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.
出处 《中国矿业大学学报》 EI CAS CSCD 北大核心 2005年第1期77-81,共5页 Journal of China University of Mining & Technology
基金 国家自然科学基金项目(50474064) 河南省自然科学基金项目(041105020)
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 strip-partial mining strip coal pillar catastrophic theory cusp catastrophic model
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参考文献2

  • 1Karl R, Zipf J, Mark C. Design metltods to control volent pillar failures in room-and-pillar mine [J]. Transactions of the Institution of Mining and Metallurgy, 1997,106 : 124-131. 被引量:1
  • 2Sizer E, Gill M. Pillar failure in shallow coal mines—a recent case history [J ]. Transactions of the Institution of Mining and Metallurgy, 2000,109 : 147-156. 被引量:1

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