## 3 Numerical Results  
### Equivalent Stress of Nodes in Driven Mode  
The roller DVWH structure can be regarded as a circular array of double V-wing structures, and each row of cells will repeatedly undergo the same load during the rotation process of the roller. Therefore, only one row of cells in the roller needs to be analyzed. Generally speaking, the larger the load and the faster the speed of the workpiece, the shorter its lifespan and the easier it is to be damaged. Therefore, this section focuses on experiments  
\begin{table}
\begin{tabular}{c c c c c c c} \hline \hline
**Parameter** & \multicolumn{6}{c}{**Value**} \\ \hline \(\varepsilon\) & 10\% & 11\% & 12\% & 13\% & 14\% & 15\% \\ \(v\) (mm/s) & 100 & 144 & 188 & 232 & 276 & 320 \\ \hline \hline \end{tabular}
\end{table}
Table 2: Setting the value of compression rate \(\varepsilon\) and speed \(v\).  
Figure 3: Finite element model for simulating driven experiment of roller DVWH structure.  
with the highest load. Taking the simulation experiment under the \(\varepsilon=15\%\), \(\upsilon=320\) mm/s condition as an example, the deformation characteristics of the roller honeycomb structure cell column I during rotation under the Y-axis compression state were mainly analyzed from the deformation and stress changes of nodes.  
During the experimental process, the equivalent stress and strain energy changes of each node in the I-cell column were analyzed at a linear speed of 320 mm/s and a compression rate of 15%. The results are shown in Figure 4, and the reference lines in the figure are: (1) \(\alpha\)-C: X = 115\({}^{\circ}\), representing the A\({}_{\rm e}\) node of the cell column \(\alpha\), in contact with the loading plate; (2) A\({}_{\rm e}\)-C: X = 135\({}^{\circ}\), indicating the A\({}_{\rm e}\) node of cell column I, in contact with the loading plate; (3) B\({}_{\rm e}\)-R: X = 214.7\({}^{\circ}\), indicating the B\({}_{\rm e}\) node of cell column I, detached from the loading plate; and (4) \(\beta\)-R: X = 242.6\({}^{\circ}\), representing the B\({}_{\rm e}\) node of the cell column \(\beta\), detached from the loading board. It can be seen that the equivalent stress peaks at each node were concentrated in the \(\alpha\)-C to \(\beta\)-R period. In the contact process between cell column I and the loading plate, due to inertial effects, the equivalent stress of the nodes farther away from the plate was minor, but D\({}_{\rm e}\) was higher than the maximum equivalent stress values of A\({}_{\rm e}\) and B\({}_{\rm e}\) by 21.9% and 30.6%, respectively. The reason was that during the experimental process, A\({}_{\rm e}\) and B\({}_{\rm e}\) made direct contact with the loading plate, resulting in significant deformation, while the loads of A\({}_{\rm e}\) and B\({}_{\rm e}\) were simultaneously transmitted through the cell wall at node D\({}_{\rm e}\). Since the C\({}_{\rm e}\) node did not make contact with the loading plate at a compression rate of 15%, the peak equivalent stress was only 64.95 MPa, much smaller than for other nodes in the same cell. The C\({}_{\rm e}\) node had a smaller radial force and it mainly bore the bending moment generated by bending the cell walls AC and BC.  
The variation trend of node strain energy in the interval \(\alpha\)-C to \(\beta\)-R was similar to the equivalent stress. From the compression end to the axis of the roller, the peak strain energy gradually decreased. Similar to the stress change situation, the peak strain energy of the \(\mathrm{D_{e}}\) node was significantly higher than that of other nodes, exceeding it by three times, and it was located at 180\({}^{\circ}\) with the equivalent stress peak. Moreover, outside the range \(\alpha\)-C to \(\beta\)-R, although the stresses at each node were changing, their respective strain energy values remained almost zero due to the small radial displacement generated by the nodes.