## 3 Simulation Test Analysis of Sorting and Conveying Process
### Single-Factor Simulation Experiments  
According to the literature [33], the influence of the inclination angle of the guide cane board on cane attitude is analyzed, and combined with the pre-test of cane falling. It can be seen that when the inclination angle of the cane collection board is at least 25\({}^{\circ}\), the whole stalks of the cane cane slide down along the board more smoothly. When the inclination angle is more than 45\({}^{\circ}\), the fallen canes rapidly pile up at the bottom of the board, which is not conducive to the sorting. Consequently, it is important to maintain the cane collecting plate's inclination angle between 25\({}^{\circ}\) and 45\({}^{\circ}\). The conveying speed of the sorting mechanism should meet the following equation, since the leaf stripping efficiency of sugarcane leaf stripping equipment should satisfy 10 t/h based on the national agricultural industry specification \"NY/T 2903-2016 Technical Specification for Quality Evaluation of Sugarcane Harvester\" and actual operation:  
\[v_{L}=\frac{PL\times 10^{3}}{3600\times\overline{mk}_{0}z} \tag{13}\]  
where \(P\) is the leaf stripping efficiency, \(L\) is the circumference of the sorting mechanism chain, \(\overline{m}\) is the average mass of a single cane, \(k_{0}\) is the number of cane sorting roots, and \(z\) is the number of sorting rakes. The circumference of the chain of the sorting mechanism is 5.75 m, the average mass of the unpeeled sugarcane is about 1.8 kg, the number of sugarcane sorting roots is three, and the number of sorting rakes is 12. Substituting the data into Formula (13), we can obtain a \(v_{L}\) of 0.246 m/s, the known radius of the sprocket wheel is 0.1 m, and we can ascertain that the angular velocity of the sprocket wheel is 2.46 rad/s, i.e., 24 r/min. When combined with the literature [34], it is evident how chain shaft speed affects the effectiveness of cane seed filling and conveying: the lower the rotational speed, the better the effect of seed filling and conveying. However, a rotational speed that is too low will reduce work efficiency, so the sorting mechanism's sprocket wheel's rotational speed will be regulated between 16 and 32 r/min. \begin{table}
\begin{tabular}{c c c c c c c} \hline
**Type of** & **Coefficient of** & **T** & **Factor of** & **Damping** & **Index of** & **Penetration** & **Kinetic Friction** & **Static Friction** \\
**Contact** & **Stiffness** \& **(**c_{max}\)** & **Stiffness** & **Depth** & **Coefficient** & **Coefficient** \\  & **(N/mm)** & **(N\(\cdot\)s/mm)** & **Contribution** & **(mm)** & **Coefficient** & **Coefficient** \\ \hline \hline cane-lifting conveyor belt & 3000 & 3 & 2.2 & 0.1 & 0.6 & 0.5 \\ cane-collector plate & 4500 & 5 & 2 & 0.1 & 0.26 & 0.18 \\ cane-sorting claw & 4500 & 5 & 2 & 0.1 & 0.26 & 0.18 \\ cane-cane & 3000 & 3 & 2.2 & 0.1 & 0.5 & 0.45 \\ chain-link & 1,000,000 & 50 & 1.5 & 0.1 & 0.08 & 0.05 \\ \hline \end{tabular}
\end{table} 
Table 2: Contact parameters for the simulation. Based on the experience of manually assisted sorting, blockages may be successfully avoided while sorting three canes at once. Additionally, the pull-type sugarcane defoliation equipment's quality and efficiency meet industry standards when feeding three canes at once. Thus, this test evaluates the effectiveness of the sorting and conveying mechanism and uses the percentage \(\tau\) of three canes sorted by the sorting mechanism as the test index. The higher the percentage of sorting three canes, the better the solution. The following formula determines the percentage of sorted roots \(\tau\):  
\[\tau=\frac{N_{i}}{N_{0}} \tag{14}\]  
where \(N\) is the number of times three canes were sorted, and \(N_{0}\) is the time spent sorting. Through the simulations, which were split into two groups, the sorting and conveying device's sorting effect and conveying stability were examined. The first set of tests examined the impact of stable sugarcane transportation under various cane collection plate inclination angles.