| 煤(矿)柱失稳冲击破坏的突变模型及其应用 |
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| 引用本文： | 高明仕,窦林名,张农,郑百生,阚甲广.煤(矿)柱失稳冲击破坏的突变模型及其应用[J].中国矿业大学学报,2005,34(4):433-437. |
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| 作者姓名： | 高明仕 窦林名 张农 郑百生 阚甲广 |
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| 作者单位： | 中国矿业大学,能源与安全工程学院,江苏,徐州,221008 |
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| 基金项目： | 国家自然科学基金项目(50490273，50474068，50074030)，教育部博士点专项基金项目(20030290017) |
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| 摘 要： | 应用突变理论，建立了煤(矿)柱受载失稳发生冲击矿压(岩爆)的尖点突变模型，得到了在刚度比和全位移两个变量控制空间下煤(矿)柱失稳发生冲击矿压(岩爆)动力现象的分歧点集，得出了预测预报煤(矿)柱失稳发生冲击破坏的临界点位移公式．进而，对模型的应用作了进一步讨论，并解释了冲击矿压(岩爆)发生的刚度理论和预应力锚杆支护体系加固围岩防冲、减冲机理，同时结合热力学定律阐述了煤岩体注水、深孔爆破卸压等防冲减冲措施的机理。
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| 关 键 词： | 煤（矿）柱失稳 尖点突变模型 刚度比 临界点位移 模型应用 |
| 文章编号： | 1000-1964(2005)04-0433-05 |
| 修稿时间： | 2004年10月15 |
Cusp Catastrophic Model for Instability of Coal Pillar Burst Damage and Analysis of Its Application |
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| GAO Ming-shi,DOU Lin-ming,ZHANG Nong,ZHENG Bai-sheng,KAN Jia-guang.Cusp Catastrophic Model for Instability of Coal Pillar Burst Damage and Analysis of Its Application[J].Journal of China University of Mining & Technology,2005,34(4):433-437. |
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| Authors: | GAO Ming-shi DOU Lin-ming ZHANG Nong ZHENG Bai-sheng KAN Jia-guang |
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| Abstract: | Based on the catastrophic theory ,a cusp catastrophic model for the instability of pillar rock burst was established. The bifurcation set which makes this system lose its instability in the rigidity ratio and total displacement force control space was obtained. The equations of the total displacement limitation to pre-measure and pre-broadcast the instability of the pillar rock burst were obtained. Then, the application of this model was discussed. The theory of rigidity of rock burst and the mechanisms of pre-stressed bolt supporting system preventing and decreasing rock burst were introduced. Combined with the law of thermodynamics,the mechanisms of preventing and decreasing rock burst by water infusing and deep-bore blasting were explained. |
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| Keywords: | instability of coal/rock pillar cusp catastrophic model rigidity ratio total displacement limitation model application |
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