## 3 Analysis Key Components
### Analysis of the Chain Drive Film-Soil Separation Mechanism
#### 3.2.3 Movement Analysis of the Chain Drive Soil Separation Mechanism  
The chain drive film-soil separation mechanism relies on forced shaking by the shaking roller rotation to improve the separation performance of the chain bar and spring teeth on the film-soil mixture. To analyze the motion of the chain drive film-soil separation mechanism, the film-soil mixture on the chain is the mass point O, the line connecting the center line of the upper carrier roller and the active chain roller is the x-axis, the direction of the chain movement is in the positive direction of the x-axis, the vertical direction is the y-axis, the right angle coordinate system x-o-y is established, and the motion of the film-soil mixture on the chain rod is as shown in Figure 8. The trajectory of the film-soil mixture motion on the chain drive film-soil separation mechanism is represented by a bold line, and the velocity \(v_{y}\) of the film-soil mixture in the y-direction during the motion is:  
\[v_{y}=v_{0}\ sin\beta+v_{d}\ sin\psi \tag{6}\]  
where \(v_{y}\) is the velocity of the film-soil mixture in the y-direction of the coordinate system (m/s), \(v_{0}\) is the forward velocity of the machine (m/s), \(v_{d}\) is the velocity of the shaking roller acting on the film-soil mixture (m/s), \(v_{t}\) is the velocity of the chain rod acting on the film-soil mixture (m/s), \(\beta\) is the angle between the chain and the horizontal direction (\({}^{\circ}\)), and \(\psi\) is the angle between \(v_{d}\) and the x-axis (\({}^{\circ}\)). Figure 7: Schematic of the jitter roller. 1 drive shaft; 2 shaking frame, and 3 rollers. When the film-soil mixture is in the AB arc position, the velocity in the y-direction by the chain drive film-soil separation mechanism is composed of the sum of the velocities of \(v_{0}\) and \(v_{d}\) in the y-direction. At point B, the velocity of the film-soil mixture in the y-direction is the velocity of \(v_{0}\) in the y-direction. At the BC arc position, the velocity of the film-soil mixture in the y-direction is the velocity of \(v_{0}\) in the y-direction minus the velocity of \(v_{d}\) in the y-direction. For the film-soil mixture in the process from A to B and then to C, the velocity of the mixture in the y-direction from the initial point A gradually decreases to point C to reach the minimum value. According to Equation (5), we obtain:  
\[\omega_{1}=2\times\frac{v}{L\pi}=\frac{2v}{3\sqrt{3}R\pi} \tag{7}\]  
\[v_{d}=\omega_{1}\times R=\frac{2v}{3\sqrt{3}\pi} \tag{8}\]  
\(R\) is the maximum dithering radius of the dithering roller (mm). Combined with Equations (6) and (8), the result is:  
\[v_{y}=v_{0}\ sin\beta+v\frac{2}{3\sqrt{3}\pi}\ sin\psi \tag{9}\]  
According to Equation (9), the angle \(\beta\) between the chain and the horizontal direction can be ignored due to the change in the angle caused by jitter, and the forward speed \(v_{0}\) can also be regarded as a constant value during actual operation, so Equation (9) can be simplified as follows:  
\[v_{y}=a+vbsin\psi \tag{10}\]  
where \(a\) and \(b\) are constants. As a result, the velocity \(v_{y}\) of the chain drive film-soil separation mechanism acting on the film-soil mixture in the y-direction represents the change in the jitter characteristics and separation capacity of the separation mechanism. From Equation (9), the velocity of the chain drive film-soil separation mechanism is composed of the sum of the velocities of \(v_{0}\) and \(v_{d}\) in the y-direction. At point B, the velocity of the film-soil mixture in the y-direction is the velocity of \(v_{0}\) in the y-direction minus the velocity of \(v_{d}\) in the y-direction. For the film-soil mixture in the process from A to B and then to C, the velocity of the mixture in the y-direction from the initial point A gradually decreases to point C to reach the minimum value.