## 4 Simulation of Combined Components of Anchor Bolt and Anchor Cable Support  
### Establishment of Combined Components of Anchor Bolt and Anchor Cable Support Model  
The displacement and deformation of steel mesh support system is a complex three-dimensional problem, and the displacement deformation of each part is difficult to be  
Figure 2: In situ deformation of roadway [45]. continuously tested by laboratory monitoring. In this paper, the anti-deformation ability of six kinds of support systems is numerically simulated and analyzed by finite element analysis software Ansys Workbench 2020. By extracting the displacement deformation of different nodes and fitting the overall displacement deformation curve of the steel mesh support system, the displacement constraint effect of the bolt support composite components on the steel mesh is further analyzed. The simulation model is established by using SolidWorks modeling software 2020, in which the row distance between anchors is set to 800 mm, the mesh size of metal mesh is 100 mm \(\times\) 100 mm, and the diameter of wire is 6 mm. The size of diamond mesh is 40 mm \(\times\) 40 mm, and the diameter of wire is 3.25 mm. The thickness of M5 section steel strip is 5 mm and the width is 173 mm. The diameter of the reinforced ladder beam is 12 mm, 14 mm, and 16 mm. The material parameters of 14#b channel steel and 11# I-beam are shown in Table 3. The numerical model is imported into Ansys workbench for calculation, metal mesh and diamond mesh, the material is set to Q235 structural steel, the elastic modulus is set to 200 GPa, the yield strength is set to 235 MPa, the ultimate tensile strength is 400 MPa, and the Poisson's ratio is 0.3. The channel and strip materials are set to Q345 structural steel, the elastic modulus of the material is set to 200 GPa, the yield strength is set to 380 MPa, the ultimate tensile strength is 550 MPa, and the Poisson's ratio is 0.3. The I-beam is 20 MnK structural steel, the elastic modulus of the material is set to 200 GPa, the yield strength is set to 400 MPa, the ultimate tensile strength is 550 MPa, and the Poisson's ratio is 0.3. Among them, the numerical model is meshed by solid elements, and the contacts between the models are treated as 'binding'; that is, it is considered that the mesh wire located in the combined component of bolt support and the lower part of the pallet will not produce horizontal slip phenomenon. The boundary fixing method is the cross section of metal mesh wire and the fixed constraint at the anchor hole of the tray, which simulates the boundary binding wire fixation and anchor constraint of the underground steel mesh, respectively. The constitutive model is selected as the equal strength hardening multilinear elastic-plastic model, and the analysis method is the nonlinear large deformation static analysis method. The displacement and deformation of 6 supporting systems of metal mesh, diamond mesh, steel ladder beam, M-shaped steel belt, 14#b channel steel and 11# I-beam under 15,000 newtons (15 KN) vertical load is simulated. The material parameters of 14#b channel steel and 11# I-beam used in the numerical simulation were provided by the Technical Department of Zhujidong Coal Mine. The material parameters used in the numerical simulation are shown in Table 3.  
In ANSYS model, the translational and rotational degrees of freedom are constrained by the nodes at the holes fixed by the anchor bolt.