运用薄板理论中的里茨法,近似地描述了急倾斜煤层采空区上覆岩层的岩板变形状态。将采空区上覆岩层视为岩板,在弹性力学的基础上,运用能量变分法导出急倾斜煤层采空区覆岩的挠度方程,从理论上计算出最大挠度点的公式,并最终得出了与工程实践相一致的结论。 Using the Ritz method in the sheet theory, the deformation state of the rock slab in the overlying strata of the goaf with steep seam is approximately described. The overlying strata of goaf are regarded as rock slab. On the basis of elasticity, energy deflection method is used to derive the deflection equation of overburden strata in the steep coal seam. The formula of the maximum deflection point is calculated theoretically and finally Come to the conclusion that is consistent with engineering practice.