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动荷载诱发上下交叠硐室间顶柱失稳的突变理论分析

ANALYSIS ON INSTABILITY OF THE TOP PILLAR BETWEEN OVERLAP UNDERGROUD CHAMBERS INDUCED BY DANYMIC LOADINGS WITH CATASTROPHY THEORY

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【作者】 闫长斌徐国元

【Author】 YAN Chang-bin1,2 , XU Guo-yuan1 (1. School of Resources and Safety Engineering, Central South University, Changsha 410083, China; 2. Yellow River Engineering Consulting Co., Ltd., Zhengzhou 450003, China)

【机构】 中南大学资源与安全工程学院中南大学资源与安全工程学院 湖南长沙410083 黄河勘测规划设计有限公司河南郑州450003湖南长沙410083

【摘要】 根据上下交叠型地下硐室群的主要特征,将硐室间的顶柱简化为两端固定梁力学模型,把动荷载简化为谐波。考虑梁的自重,建立了动荷载诱发上下交叠型地下硐室间顶柱失稳的双尖点突变模型,导出了其失稳条件。根据失稳条件确定了顶柱的临界安全厚度。分析了动荷载振幅、频率对顶柱临界安全厚度的影响。以厂坝铅锌矿为例,计算了爆破震动作用下采场与下方采空区间顶柱的临界安全厚度。研究结果表明,上下交叠型地下硐室间顶柱的失稳不仅取决于动荷载的振幅和频率,而且还与自重荷载以及围岩特性有关,这与测试结果和有关爆破地震效应的最新研究成果是一致的。

【Abstract】 According to the main characters of overlap underground chambers, the top pillar between two adjacent underground chambers is simplified to the beam fixed at both ends, and dynamic loading is simplified to harmonic wave. The catastrophic model of double cusp for instability of the top pillar between overlap underground chambers induced by dynamic loading has been established considering deadweight of the beam, and its condition of instability has been worked out. The critical safety thickness of the top pillar has been confirmed according to the instability condition. The influence of amplitude, frequency of dynamic loading on critical safety thickness of top pillar has been analyzed. Taking the Changba Lead-zinc Mine for example, the critical safety thickness of the top pillar between stope and mined-out area below under blasting vibration loadings is confirmed. Research results show that the instability of the top pillar between two overlap underground chambers is not only dependent on the amplitude and frequency of dynamic loads, but also related to deadweight load and characters of surrounding rock. It is accordant to testing results and some related latest research results of blasting seismic effects.

【基金】 国家自然科学基金重点项目(50490272);国家“十五”科技攻关项目(2003BA612A102);中南大学博士论文创新工程项目(040109)
  • 【文献出处】 工程力学 ,Engineering Mechanics , 编辑部邮箱 ,2007年04期
  • 【分类号】TD323
  • 【被引频次】13
  • 【下载频次】296
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