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三维离散元多级可变刚度预应力锚杆/索支护模拟研究

Three-dimensional discrete element modeling of prestressed bolt/cable support considering multi-stage variable stiffness

  • 摘要: 为明确采动应力条件下锚杆/索支护体与围岩间的力学关系, 采用理论分析、数值模拟和现场观测的方法进行了研究。建立了符合实际锚杆/索受力变形特征的多级可变刚度锚杆/索PFC3D离散元数值模型, 分析了多级可变刚度预应力锚杆/索轴力分布特征, 阐明了锚杆/索的支护特性和受采动影响的受力、破断特征。研究结果表明: ①基于离散元锚杆/索颗粒运动特性和接触模型特性展现工程锚杆/索受力变形特征, 改变颗粒拉伸过程中平行黏结法向刚度( \bar k_n )值控制颗粒接触刚度, 实现离散元锚杆/索变刚度功能; ②引入阶段临界系数作为多级可变刚度判定阈值, 实现了单根轴向单排颗粒锚杆/索在受拉过程中多级刚度特性, 构建了不同类型多级可变刚度离散元锚杆/索模型, 其特征曲线符合实验室锚杆/索拉伸特性; ③获得三维巷道围岩预应力锚杆/索轴力分布特征, 自由段轴力基本保持不变呈圆柱状分布, 锚固段轴力呈圆锥状, 分界点处达到峰值; ④采动应力作用下, 轴力大小呈现先减小后增大的趋势, 两帮相同位置锚杆轴力大小呈现非对称性特征; 失效锚索周围锚杆轴力大于有效锚索周围锚杆轴力, 锚杆/索轴力变化出现阶段性规律, 并展现出锚杆/索拉、剪、弯、扭受力变形特征, 符合现场锚杆/索破断类型。

     

    Abstract: Theoretical analysis, numerical simulation and on-site observation were conduted to investigate the mechanical relationship between anchor rod/cable support and surrounding rock under mining stress conditions. PFC3D discrete element numerical model of anchor/cable considering multi-level variable stiffness, consistent with the actual stress and deformation characteristics of anchor/cable, was established. The axial force distribution characteristics of prestressed anchor/cable of multi-level variable stiffness were analyzed, and the support characteristics of anchor/cable and the stress and fracture characteristics affected by mining were elucidated. Based on the particle motion characteristics and contact model characteristics of the discrete element bolt-cable, the stress and deformation characteristics of the engineering bolt-cable are simulated, and the variable stiffness function of the discrete element bolt-cable is realized by changing the parallel bond normal stiffness ( \bar k_n ) value in the tensile process. By introducing the stage critical coefficient as the threshold value of multi-level variable stiffness, the multi-level axial stiffness characteristics of single row particle anchor bolt (anchor cable) in the process of tension are realized. Different types of discrete element anchor bolt (anchor cable) models of multi-level variable stiffness are constructed, and their characteristic curves conform to the tensile characteristics of laboratory tests. The distribution characteristics of the axial force of the prestressed anchor cable in the surrounding rock of the three-dimensional roadway are obtained. The axial force of the free section remains basically unchanged in a cylindrical distribution, and the axial force of the anchoring section is conical, reaching the peak at the demarcation point. Under the action of mining stress, the axial force decreases firstly and then increases. The axial force of the bolt at the same position of the two sides shows asymmetric characteristics. The axial force of the bolt around the failed anchor cable is greater than that around the effective anchor cable. The axial force of the bolt/cable changes periodically, and shows tension, shear, bending and torsion deformation of the bolt/cable, which is in line with the fracture type of the anchor cable on site.

     

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