本文建立了煤矿板系岩层内锚杆的作用为既有组合顶板岩层的作用,又有给予顶板以反向力的柔性支承点作用的力学模型。利用组合板的变刚度小挠度弯曲理论,通过有限差分方法的数值计算,可以很方便地分析比较在同等锚杆密度和相同锚杆长度消耗量的情况下不同锚杆群的布置方式对于顶板支护效果的影响。通过计算,文章得出了菱形锚杆群布置优于方形布置、长短锚杆相间的布置方式比等长度锚杆的布置方式为好等的结论。 In this paper, the role of internal rock bolt in the rock strata of the coal mine plate is established, which is the mechanical model that gives the role of flexible support point of the roof in combination with the roof rock formation. By using the theory of small deflection of variable stiffness of composite board, numerical calculation of finite difference method can easily analyze and compare the arrangement of different anchor groups under the same bolt density and the same bolt length consumption. Effect of protection. Through calculation, the article concludes that diamond rhombus anchor group is better than square rhombic anchor group, and the arrangement of long and short anchor rods is better than that of equivalent length anchor rods.