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基于轴对称厚板模型的浅埋空区顶板安全厚度 被引量:17

Determination of Safe Roof Thickness of Underground Shallow Openings Based on Axisymmetric Thick Plate Model
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摘要 空区的存在影响地表建筑物和设施的稳定.在考虑超载情况下,根据Reissner厚板理论,建立了轴对称圆板模型,以拉破坏为控制条件,导出了顶板安全厚度的解析解.以剪切破坏作为控制条件,提出了考虑剪切导致的拉应力控制和剪应力控制的顶板安全厚度计算公式.结合某一工程实例,给出了几种典型岩石条件下顶板的安全厚度,当超载不大时,顶板安全厚度由弯曲拉应力控制. Underground openings influence the stability of the buildings on the ground, Considering surcharge based on Reissner thick plate theory, an axisymmetric circular plate model was put forward, and a formula was brought forth considering tensile failure. With shear failure as a control factor, two formulae were put forward to calculate safe thickness of roof considering tensile stress induced by shear stress and shear stress separately. Safe roof thickness of some typical rock properties were obtained through a case study, showing that the safe roof thickness is controlled by the bending tensile stress with low surcharge.
出处 《采矿与安全工程学报》 EI 北大核心 2006年第1期115-118,共4页 Journal of Mining & Safety Engineering
基金 国家自然科学基金项目(50274074) 湖南省青年骨干教师培养对象基金
关键词 空区 顶板安全厚度 REISSNER 厚板理论 剪切破坏 超载 underground opening safe roof thickness Reissner thick plate theory shear failure surcharge
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参考文献2

  • 1[1]COOLY T.Geological and geotechnical context of cover collapse and subsidence in mid-continent US clay-mantled karst[J].Environmental Geology,2002,42:469-475.
  • 2[6]HAB J B,LIEW K M.Analysis of annular Reissner Mindlin plates using differential quadrature method[J].International Journal of Mechanical Sciences,1998,40(7):651-661.

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