## 3 Numerical Results
### Radial Displacement of Nodes in Driven Mode  
Due to the continuous rotation of each node during the experimental process, the position coordinates of each node change are complex and contain much useless information. Therefore, this article's deformation analysis of the node mainly focuses on its radial displacement.  
This section mainly analyzes the radial displacement of each node in the honeycomb structure cell column I in a numerical simulation. Figure 5 shows the radial displacement changes of each node in the I-cell column during the experimental process at a linear speed of 320 mm/s and a compression rate of 15%. From the figure, it can be seen that the closer the cell where the node was located was to the axis of the roller, the smaller the maximum change in radial displacement of the node. That means the compression mainly occurred near the loading plate, and the degree of compression decreased in the direction away from the loading plate. Before making contact with the loading plate, nodes \(\mathrm{A_{e}}\), \(\mathrm{C_{e}}\), \(\mathrm{D_{e}}\), and \(\mathrm{D_{1}}\) experienced radial displacement away from the roller axis. This behavior occurred for a relatively long time at node \(\mathrm{A_{e}}\), while other nodes' \"away from axis\" behavior was observed from the \(\alpha\)-C starts. The \(\mathrm{B_{e}}\) node had a radial displacement near the roller axis earlier. The remaining nodes maintained their radial position before and after the contact between their respective cell columns and the loading plate. Except for the nodes of the outermost cell, the maximum radial displacement of nodes located on the symmetrical axis of the cell should be greater than the maximum radial displacement of nodes on both sides. For example, the values of the \(\mathrm{D_{e}}\) node were 79.6% and 49% higher than the maximum radial displacement of \(\mathrm{A_{1}}\) and \(\mathrm{B_{1}}\), respectively, and \(\mathrm{D_{1}}\) nodes were 212.5% and 420.8% higher than the maximum radial displacement values of \(\mathrm{A_{2}}\) and \(\mathrm{B_{2}}\), respectively. Perhaps this was because node \(\mathrm{D_{e}}\) was connected to \(\mathrm{A_{e}}\) and \(\mathrm{B_{e}}\), while node \(\mathrm{D_{1}}\) was connected to \(\mathrm{A_{1}}\) and \(\mathrm{B_{1}}\), and the load of the nodes on both sides was transferred radially to the inner layer's D node. As shown in the figure, the radial displacement of all the nodes, except for node \(\mathrm{B_{e}}\), underwent varying degrees of instantaneous fluctuations at 180\({}^{\circ}\) and 200\({}^{\circ}\), with the fluctuation degree at 180\({}^{\circ}\) being smaller than at 200\({}^{\circ}\). That is because, during the compression process, the cell walls AD and BD bent in the opposite direction of rotation, and at 180\({}^{\circ}\), the compression reached the maximum bending degree and then began to unload, causing fluctuations in the transient stage. At 200\({}^{\circ}\), the bending direction of the cell wall suddenly changed, resulting in significant fluctuations.  
The analysis of each node in cell column I shows that the stress peaks, maximum radial displacement, and energy changes of \(\mathrm{A_{e}}\), \(\mathrm{B_{e}}\), and \(\mathrm{D_{e}}\) are significantly greater than those of the other nodes, with the \(\mathrm{D_{e}}\) node changes being more significant than the first two. However, due to direct contact with the loading plate, the \(\mathrm{A_{e}}\) and \(\mathrm{B_{e}}\) nodes have unique deformation characteristics. Therefore, the following section mainly analyzes the effects of compression ratio and rotational speed on the deformation characteristics of the \(\mathrm{A_{e}}\), \(\mathrm{B_{e}}\), and \(\mathrm{D_{e}}\) nodes.