锚杆组合构件预应力传递效应的解析计算

    Analytical solution for pre-press transfer effect of bolt composite member

    • 摘要: 为了研究锚杆组合构件对预应力的传递效应,假设巷道围岩为弹性地基,以顶板为例,建立了预应力作用下的锚杆组合构件支护顶板的弹性地基梁模型;基于叠加原理,结合边界条件求解得到了模型的挠曲方程。结合工程实例分析可知:变形协调系数β是影响锚杆预应力传递的重要参数,β值越小,传递到顶板上的预应力越均匀,提高钢带的抗弯刚度可以降低β值,从而提高支护效果;不同锚杆布置方式时,顶板的地基反力分布主要受端部效应和叠加效应影响,端部效应影响下,钢带端部地基反力偏高,叠加效应影响下,钢带中部地基反力偏高,通过均衡端部效应和叠加效应二者的关系,可得到最优锚杆布置方案。

       

      Abstract: In order to study the pre-press transfer effect of bolt composite member, assume that the roadway surrounding rock is elastic foundation, take the roof as an example, the elastic foundation beam model of the roof which is supported by pre-stress bolt composite member was established. Based on the superposition principle, combining with boundary conditions, the deflection equation of the model was obtained. Combined with engineering examples, results show that deformation coordination coefficient β is an important parameter which affects the transmission of bolt pre-stress. The smaller β is helpful for the uniform transmission of bolt pre-stress. Increasing bending stiffness of the belt can deduce β and improve the effect of support. In the condition of different bolt arrangements, the distribution of roof counterforce is mainly influenced by end effect and superposition effect. The counterforce is higher at the end of the belt by the influence of end effect while higher at the middle of the belt by the influence of superposition effect. Optimal arrangement of bolt can be determined through the balance of end effect and superposition effect.

       

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