（急）倾斜煤层深部开采覆岩变形力学模型及应用

根据人们对如何描述（急）倾斜煤层采空区上覆岩层变形行为的需要，在弹性理论的基础上，将上覆岩层假设为岩板，研究上覆岩层的变形特征，建立了上覆岩层变形的力学模型，导出了采动覆岩的挠度方程和计算最大挠度点的理论公式，通过计算得到了采空区下方挠度大于其上方的挠度，最大挠度点位于采空区中部偏下的位置，真实地反映了（急）倾斜煤层深部开采时采空区顶板变形特征和岩板在联合作用力条件下的变形本质，为（急）倾斜煤层深部开采覆岩变形计算提供了科学依据．

Mechanics. Model to Deformation of Covered Rock Strata and Its Application in Deep Mining of Steep or Inclined Seam

To meet the need of how to depict the deformation behavior of covered rock strata in deep mining or inclined seam, the authors study the law of the bend of rock layers in coal mining district. Based on the elastic theory, the deformation character of the rock layer is studied, mechanical model to deformation of covered rock strata is founded, and an expression of flexibility equation and a theoretic formula of calculating the most flexibility spot are derived under the hypothesis that rock treated as rock plate. By calculation, the flexibility of worked-out area in mine lower part is bigger than upper part. The point of maximal flexibility lies in middle leaning down worked-out area in mine part, which reflects really characteristic of deformation of roof in worked-out area about deep mining of steep or inclined seam. The model reflects factually the deformation of rock boards under the action of the united stress in essence. The obtained results can, be used to provide science warranty to the calculation of covered rock strata in deep mining of steep or inclined seam.