## 5 Simulation Analysis of Traction Dynamics of the Space Flexible Web
### Analysis of Expansion Process of Topological Rope Web  
In the pre-processing of the launch deployment simulation of the new space flexible web with the topological tether web (from now on referred to as the topological rope web), the same parameter settings are adopted as those of the conventional flexible rope web, including material model, element type and initial launch velocity, etc. The difference between the two is only in the form of a topological structure. When setting its firing muzzle velocity, the firing muzzle velocity of the six tracers in the Z-direction is set as 50 m/s consistent with the deployment of the traditional rope web. The combined velocity in the X-direction and Y-direction is set as about 50 m/s so that the research object can quickly be deployed and formed in the air. Figure 14 below shows the initial attitude of the fully extended topological rope web simulation model output-related element and nodal information aftermath simulation model to simulate the reception attitude of topological rope webs in a storage grid launcher. The model contains 29,917 nodes and the parameters of the traction body are entirely consistent with those of the conventional web. The hexagonal side length is 2.5 m and the fully open area is about 32.48 m\({}^{2}\). The expansion process of the topological rope web is shown in Figure 15 below, and Figure 15a-h reflect eight typical poses in the unfolding process. It is found that the attitude change of the topological rope web is similar to that of the traditional rope web in overall appearance and the time to reach the maximum unfolding area is about 0.14 s after launch, which is slightly later than that of the traditional rope web. By analyzing the posture of  
Figure 14: Process of topological rope web simulation model. Figure 13: Change of characteristic point displacement of traditional rope web. the topology rope web at different times, it can be found that the deformation of the inner hexagonal topology element is smaller than that of the surrounding connection rope, which plays a specific role in supporting the stability of the local web type. As shown in Figure 16 below, the unfolding process of the topological rope web and the partial descent process after reaching the highest point are shown in Figure 16a-g. The tension changes of rope segments along the direction of rope segments at six different times are selected. As can be seen from the force cloud diagram at six representative moments, the tension of the rope segments showed a uniform change in the annular direction with the continuous unfolding and forming of the topological rope web along the \(Z\)-axis. Taking the geometric center at the bottom of the topological rope web as the reference point, the tension values of the rope segments showed a wave-like distribution law of \"size staggered\" along the radial direction. In the whole process of launching and unfolding the topological rope web, the maximum tension of the rope segment appears at the position of the rope segment on the traction rope at 0.140 s, which is about 7.254 \(\times\) 10\({}^{4}\) N. At this time, the topological rope web is fully expanded or close to fully expanded, the rope segment is tensioned, and the axial force is higher than the other five typical moments. Figure 16: Axially loaded topological rope web segments. Figure 15: Map of topological rope web launch process. In order to further discuss the dynamic characteristics of the topological rope web, the characteristic points of the traction body and four characteristic points of the topological rope web are selected to analyze the simulation results, as shown in Figure 17 below. The four characteristic position points of the topological rope web are the traction rope characteristic point A, the hexagonal edge line corner point B at the bottom of the rope web, the hexagonal edge line corner point C at the intersection of the outer edge line of the rope web, and the rope characteristic point D inside the rope web.