A paperboard cutting mechanism
Patent Information
- Application Number
- CN202610957020.0
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2026-06-30
- Publication Date
- 2026-09-29
AI Technical Summary
[0004]目前,常规的裁剪设备在对纸板进行裁剪时,主要是依靠预制的刀片批量的对纸板指定位置进行裁剪,这种裁剪具有一定弊端,即:由于刀片较薄,会导致裁剪的刀痕会比较细窄,进而导致裁剪下来的纸板容易卡住难以脱离,需要进行二次加工来将剪裁下来的纸板取下,极大的降低了生产效率
[0019]本发明通过设置剪切组件,可以在对纸板完成裁切工序后,自动的将卡住的纸板废料震出,从而不需要另外的对纸板废料进行剥离,有效简化工序,大幅的提升了生产效率;且在使用过程中,纸板从两组转动件中间流出后,会同时历经柔性带、传动绳输送的时弹性变形而产生的震动力量,还会经受高低差产生的震动以及弹性的弯曲变形等多种力量,这会进一步促进纸板废料的脱离,确保加工完成后的纸板上没有多余废料的残留,进一步提升加工质量,保证加工效率;同时,拍打绳的在偏心转动的第三滚轮作用下,会被不断的拉长,然后又收缩,且是在靠近纸板的一侧收缩,这样一来,收缩后,拍打绳由于较长也较重,会下落,从而拍打在纸板上,这会对纸板形成新的且更强力的冲击,从而进一步促进纸板废料的脱离。
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Figure CN122829939A_ABST
Abstract
Description
Technical Field
[0001] This invention relates to the field of cutting mechanism technology, and more specifically to a cardboard cutting mechanism. Background Technology
[0002] Cardboard is a rigid material made of multiple layers of paper bonded together with adhesives. It is lightweight, strong, and environmentally friendly, and is widely used in packaging and other fields.
[0003] In the process of using cardboard, it is generally cut to a suitable size according to the needs of use, and divided in the corresponding positions. Then it is bent in the corresponding positions to form packaging structures such as boxes. The division and cutting of cardboard is generally done by special cutting equipment.
[0004] Currently, conventional cutting equipment mainly relies on pre-made blades to cut cardboard in batches at designated locations. This method has certain drawbacks: because the blades are relatively thin, the cutting marks are quite narrow, which makes the cut cardboard pieces easy to get stuck and difficult to remove. This requires secondary processing to remove the cut cardboard, greatly reducing production efficiency. Summary of the Invention
[0005] In order to alleviate or even overcome the above-mentioned defects of the prior art, the present invention provides a cardboard cutting mechanism to solve the problems existing in the background art.
[0006] The present invention provides the following technical solution: a cardboard cutting mechanism, comprising: a frame and a shearing assembly, the frame having an inlet end and an outlet end, the cardboard to be processed entering the frame from the inlet end and flowing out from the outlet end; the shearing assembly is installed in the frame and located between the inlet end and the outlet end, and cuts the cardboard entering the frame from the inlet end, while the shearing assembly also sends the cut cardboard out from the outlet end, and when the shearing assembly sends the cardboard to the outlet end, the cut cardboard waste on the cardboard falls off.
[0007] Furthermore, the shearing assembly includes a cutter and a rotating component. There are two sets of rotating components, which are cylindrical and rotatably mounted in the middle of the frame. The cutter is detachably fixed on the surface of one set of rotating components. The two sets of rotating components rotate towards each other. The cardboard that enters the middle of the frame from the feed end will enter between the two sets of rotating components and be sent to the discharge end by the two sets of rotating components. At the same time, the rotation of the rotating component will drive the cutter to cut the cardboard that passes through the middle of the two sets of rotating components.
[0008] Furthermore, the shearing assembly also includes a first driving component, which includes a first motor, which is fixedly installed in the middle of the frame. The first motor and a set of rotating components are driven by a first pulley and a first belt. Gears are installed on the rotating shafts of the two sets of rotating components and inside the frame. The two sets of rotating components are driven by the gears, and the two sets of rotating components rotate in opposite directions under the transmission action of the gears.
[0009] Furthermore, the shearing assembly also includes a feeding component, which is installed between the discharge end and the rotating component. The feeding component includes a bracket and first rollers. The bracket is installed on the side of the rotating component and close to the discharge end. There are multiple first rollers, which are arranged in pairs. All first rollers are rotatably mounted on the bracket, and the two first rollers in each group are driven by a flexible belt. The horizontal height of the flexible belt is lower than the horizontal height between the two groups of rotating components. At the same time, the cardboard flowing from the middle of the two groups of rotating components to the discharge end will fall on the surface of the flexible belt and move towards the discharge end under the rotation of the flexible belt. Meanwhile, the cardboard falling on the flexible belt will be shaken out by the impact force of the falling cardboard and cut waste cardboard.
[0010] Furthermore, the feeding component also includes a second roller and a transmission rope. There are two sets of the second rollers and several transmission ropes, which are ring-shaped and elastically deformable. All transmission ropes are sleeved on the two second rollers, and the two second rollers are driven by the transmission ropes. The second rollers are located at the discharge end of the first roller and can catch the cardboard falling from the flexible belt. The rotation of the transmission ropes will drive the cardboard box to move towards the discharge end.
[0011] Furthermore, the height difference between the drive rope and the flexible belt causes the cardboard to elastically tilt and enter the drive rope from the flexible belt.
[0012] Furthermore, the feeding component also includes a vibrating roller, which is rotatably mounted on the bracket and located in the middle of the transmission rope. The vibrating roller rotates synchronously with the second roller, and the rotation of the vibrating roller will cause the cardboard on the transmission rope to vibrate up and down.
[0013] Furthermore, the feeding component also includes a third roller and a beating rope. There are two sets of third rollers and several beating ropes made of elastic material. All beating ropes are sleeved on the two third rollers, and the two third rollers are driven by the beating ropes. The third rollers are located above the second rollers, and the rotation of the third rollers will cause the lower edge of the beating ropes to beat the cardboard on the transmission rope.
[0014] Furthermore, the rotation center of the third roller is eccentrically set with respect to the axis of the third roller, and several limiting grooves are machined on its surface. The beating rope is sleeved in the limiting groove. The shearing assembly also includes a second driving component, which includes a second motor, a second belt and a second pulley. The second motor drives the first roller, the second roller, the third roller and the shaking roller to rotate through the second belt and the second pulley.
[0015] The present invention also discloses a paperboard cutting method, using the above-mentioned paperboard cutting mechanism, the method comprising:
[0016] S1: Place the cardboard to be cut from the feed end and let it enter between the two sets of rotating parts;
[0017] S2: Collect the cardboard that flows out from the discharge end.
[0018] The technical effects and advantages of this invention are as follows:
[0019] This invention, by incorporating a shearing component, automatically dislodges stuck cardboard waste after the cardboard cutting process, eliminating the need for additional cardboard waste stripping, effectively simplifying the process and significantly improving production efficiency. During operation, the cardboard flows out from between two sets of rotating components, simultaneously experiencing the vibrational forces generated by the elastic deformation of the flexible belt and transmission rope, as well as vibrations caused by height differences and elastic bending deformation. This further promotes the detachment of cardboard waste, ensuring no excess waste residue remains on the finished cardboard, further improving processing quality and guaranteeing efficiency. Simultaneously, the striking rope, under the action of the eccentrically rotating third roller, is continuously stretched and then contracted, specifically contracting on the side closest to the cardboard. After contraction, the longer and heavier striking rope falls, striking the cardboard with a new and stronger impact, further promoting the detachment of cardboard waste. Attached Figure Description
[0020] Figure 1 This is a first-view schematic diagram of the three-dimensional structure of the present invention;
[0021] Figure 2 This is a second-view schematic diagram of the three-dimensional structure of the present invention;
[0022] Figure 3 This is a first-view schematic diagram of the internal structure of the frame of the present invention;
[0023] Figure 4 This is a second-view schematic diagram of the internal structure of the frame of the present invention.
[0024] The attached figures are labeled as follows: 1. Frame; 11. Feed end; 12. Discharge end; 2. Shearing assembly; 21. Cutter; 22. Rotating component; 23. First drive component; 231. First motor; 232. First pulley; 233. First belt; 234. Gear; 2341. Transmission wheel; 2342. Reversing wheel; 24. Unloading component; 241. Support; 242. First roller; 243. Flexible belt; 244. Second roller; 245. Transmission rope; 246. Shaking roller; 247. Third roller; 248. Beating rope; 25. Second drive component; 251. Second motor; 252. Second belt; 253. Second pulley. Detailed Implementation
[0025] The technical solutions of the present invention will be clearly and completely described below with reference to the accompanying drawings. In addition, the forms of the various structures described in the following embodiments are merely illustrative and are not limited to the structures described in the following embodiments. All other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.
[0026] Reference Figure 1-4 The present invention provides a cardboard cutting mechanism, comprising: a frame 1 having an inlet end 11 and an outlet end 12, wherein the cardboard to be processed can enter the frame 1 from the inlet end 11 and flow out from the outlet end 12; and a shearing assembly 2, which is installed in the frame 1 and located between the inlet end 11 and the outlet end 12, and cuts the cardboard entering the frame 1 from the inlet end 11. At the same time, the shearing assembly 2 sends the cut cardboard out from the outlet end 12. When the shearing assembly 2 sends the cardboard to the outlet end 12, the cardboard waste cut off on the cardboard will fall off.
[0027] In use, simply place the cardboard to be processed into the feed end 11 of the frame 1. Then, the shearing component 2 will drive the cardboard into the frame 1 and send it out from the discharge end 12. During this process, the cardboard will be cut into the specified shape by the shearing component 2, thus completing the cutting of the cardboard.
[0028] The shearing assembly 2 includes a cutter 21 and a rotating component 22. There are two sets of rotating components 22, which are cylindrical and rotatably mounted in the middle of the frame 1. The cutter 21 is detachably fixedly mounted on the surface of one set of rotating components 22. The two sets of rotating components 22 rotate towards each other. The cardboard that enters the middle of the frame 1 from the feed end 11 will enter between the two sets of rotating components 22 and be sent to the discharge end 12 by the two sets of rotating components 22. At the same time, the rotation of the rotating component 22 will drive the cutter 21 to cut the cardboard that passes through the middle of the two sets of rotating components 22.
[0029] In this way, the cardboard to be processed that enters the frame 1 from the feed end 11 will enter between the two rotating parts 22. Since the two sets of rotating parts 22 rotate in opposite directions, the rotation of the rotating parts 22 will drive the cardboard to move. At the same time, when the rotating parts 22 rotate, they will drive the cutter 21 mounted on its surface to cut the cardboard synchronously. In this way, the cardboard transfer and cutting processes are synchronized.
[0030] The shearing assembly 2 also includes a first driving component 23, which includes a first motor 231, which is fixedly installed in the middle of the frame 1. The first motor 231 and a set of rotating components 22 are driven by a first pulley 232 and a first belt 233. Gears 234 are installed on the rotating shafts of the two sets of rotating components 22 and inside the frame 1. The two sets of rotating components 22 are driven by the gears 234. At the same time, the two sets of rotating components 22 rotate in opposite directions under the driving action of the gears 234.
[0031] The gear 234 includes a transmission wheel 2341 and a reversing wheel 2342. There are two transmission wheels 2341, which are fixedly installed on the shafts of two rotating parts 22 respectively. There are two reversing wheels 2342, which are rotatably installed inside the frame 1. The two reversing wheels 2342 are externally meshed, and at the same time, the two reversing wheels 2342 are externally meshed with the two transmission wheels 2341 respectively. Thus, as long as the first motor 231 is started, it will drive the gear 234 to rotate through the first pulley 232 and the first belt 233, thereby driving the two sets of rotating parts 22 to rotate in opposite directions.
[0032] The shearing assembly 2 also includes a feeding component 24, which is installed between the discharge end 12 and the rotating component 22. The feeding component 24 includes a bracket 241 and first rollers 242. The bracket 241 is installed on the side of the rotating component 22 and close to the discharge end 12. There are multiple first rollers 242, which are arranged in pairs. All first rollers 242 are rotatably mounted on the bracket 241. The two first rollers 242 in each group are driven by a flexible belt 243. The horizontal height of the flexible belt 243 is lower than the horizontal height between the two groups of rotating components 22. At the same time, the cardboard flowing from the middle of the two groups of rotating components 22 to the discharge end 12 will fall on the surface of the flexible belt 243 and move towards the discharge end 12 under the rotation of the flexible belt 243. Meanwhile, the cardboard falling on the flexible belt 243 will be shaken out by the impact force of the falling cardboard and cut waste cardboard.
[0033] In this way, the cardboard flowing out from between the two sets of rotating parts 22 will fall onto the flexible belt 243. During this process, since the horizontal height of the flexible belt 243 is lower than the horizontal height between the two sets of rotating parts 22, the cardboard will vibrate, which will shake off the cardboard waste that has been cut off but is still stuck on the cardboard.
[0034] The feeding component 24 also includes a second roller 244 and a transmission rope 245. There are two sets of second rollers 244 and several transmission ropes 245. They are ring-shaped and elastically deformable. All transmission ropes 245 are sleeved on two second rollers 244, and the two second rollers 244 are driven by the transmission ropes 245. The second rollers 244 are located at the discharge end 12 of the first roller 242 and can catch the cardboard falling from the flexible belt 243. The rotation of the transmission ropes 245 will drive the cardboard box to move towards the discharge end 12.
[0035] Thus, during use, when the cardboard on the flexible belt 243 moves toward the discharge end 12, it will first flow onto the transmission rope 245. Since both the flexible belt 243 and the transmission rope 245 can be elastically deformed, this flow process will cause the cardboard to shake further, thereby further promoting the removal of cardboard waste from the cardboard. Furthermore, the gaps between the transmission rope 245 and the flexible belt 243 allow the shaken cardboard waste to fall onto the ground, making it convenient for collection.
[0036] There is a height difference between the transmission rope 245 and the flexible belt 243, which causes the cardboard to elastically tilt from the flexible belt 243 onto the transmission rope 245. This further increases the elastic deformation of the cardboard, thereby promoting the detachment of cardboard waste.
[0037] The feeding component 24 also includes a shaking roller 246, which is rotatably mounted on the bracket 241 and located in the middle of the transmission rope 245. The shaking roller 246 rotates synchronously with the second roller 244, and the rotation of the shaking roller 246 will cause the cardboard on the transmission rope 245 to vibrate up and down. In this way, the cardboard conveyed on the transmission rope 245 will be lifted and dropped by the shaking roller 246, thereby further increasing the vibration of the cardboard to promote the shedding of cardboard waste.
[0038] The feeding component 24 also includes a third roller 247 and a beating rope 248. There are two sets of third rollers 247. The beating rope 248 is made of elastic material and there are several of them. All the beating ropes 248 are sleeved on the two third rollers 247. At the same time, the two third rollers 247 are driven by the beating ropes 248. The third rollers 247 are located above the second rollers 244. The rotation of the third rollers 247 will drive the lower edge of the beating ropes 248 to beat the cardboard on the transmission rope 245. The rotation center of the third rollers 247 is eccentrically set with respect to the axis of the third rollers 247, and several limiting grooves are machined on the surface. The beating ropes 248 are sleeved in the limiting grooves. In this way, the rotation of the third rollers 247 will drive the beating ropes 248 to continuously stretch and contract. During this process, the beating ropes 248 will continuously shake up and down, thereby beating the cardboard above the transmission rope 245. This will further promote the separation of cardboard waste.
[0039] The shearing assembly 2 also includes a second driving component 25, which includes a second motor 251, a second belt 252, and a second pulley 253. The second motor 251 drives the first roller 242, the second roller 244, the third roller 247, and the shaking roller 246 to rotate via the second belt 252 and the second pulley 253. Thus, by simply starting the second motor 251, the first roller 242, the second roller 244, the third roller 247, and the shaking roller 246 can rotate, achieving the above-mentioned function. The transmission modes of the first pulley 232, the first belt 233, the second pulley 253, and the second belt 252 are all existing conventional technologies, and their working processes will not be described in detail in this invention.
[0040] Therefore, the complete usage process is as follows: First, start the first motor 231 and the second motor 251 respectively to drive the rotating component 22, the first roller 242, the second roller 244, the third roller 247, and the shaking roller 246 to rotate. Then, put the cardboard to be cut into the feed end 11 of the frame 1 and place it between the two rotating components 22. At this time, the rotating component 22 will drive the cardboard to move. At the same time, when the rotating component 22 rotates, it will drive the cutter 21 mounted on its surface to cut the cardboard synchronously. After the cardboard is cut, it will be pushed by the rotating component 22 to the discharge end 12 and fall onto the flexible belt 243. During this process, since the horizontal height of the flexible belt 243 is lower than the horizontal height between the two sets of rotating components 22, the cardboard will vibrate. This will shake off the cardboard waste that has been cut off but is still stuck on the cardboard. The flexible belt 243 will also rotate under the action of the first roller 242 to drive the cardboard to move. As the board moves, the flexible belt 243 continuously deforms elastically, causing the cardboard to vibrate further, thus promoting the removal of cardboard waste from the cardboard. When the cardboard moves to the end of the flexible belt 243, it enters the transmission rope 245 at an angle, which further increases the elastic deformation of the cardboard, thus promoting the removal of cardboard waste. As the cardboard moves towards the discharge end 12 on the transmission rope 245, the elastic deformation of the transmission rope 245 and the rotation of the shaking roller 246 continuously drive the cardboard to vibrate, which further promotes the removal of cardboard waste. In addition, the rotation of the third roller 247 will also drive the beating rope 248 to continuously tap the upper surface of the cardboard, which will further promote the removal of cardboard waste. This ensures that when the cardboard flows out of the discharge end 12, the cut waste can be completely removed, facilitating the next processing of the cardboard and effectively improving the cardboard processing efficiency.
[0041] In summary, by setting the shearing component 2, the present invention can automatically shake out the stuck cardboard waste after the cardboard is cut, thus eliminating the need for additional peeling of the cardboard waste, effectively simplifying the process and significantly improving production efficiency.
[0042] In addition, during use, after the cardboard flows out from between the two sets of rotating parts 22, it will simultaneously experience the vibration force generated by the elastic deformation of the flexible belt 243 and the transmission rope 245 during transportation, as well as the vibration generated by the height difference and the elastic bending deformation, etc. This will further promote the separation of cardboard waste, ensure that there is no excess waste residue on the cardboard after processing, further improve the processing quality, and ensure processing efficiency.
[0043] Furthermore, under the action of the eccentrically rotating third roller 247, the beating rope 248 is continuously stretched and then contracted, and it contracts on the side closer to the cardboard. As a result, after contraction, the beating rope 248, being longer and heavier, will fall and strike the cardboard, which will create a new and stronger impact on the cardboard, thereby further promoting the separation of cardboard waste.
[0044] The present invention also provides a paperboard cutting method, using the above-described paperboard cutting mechanism, the method comprising:
[0045] S1: Place the cardboard to be cut into the feed end 11 and let it enter between the two sets of rotating parts 22;
[0046] S2: Collect the cardboard that flows out from the discharge end 12.
[0047] Using this method to process cardboard can combine the advantages of the aforementioned cutting mechanisms, thereby effectively improving the processing efficiency of cardboard.
[0048] Finally, it should be noted that the accompanying drawings of the embodiments disclosed in this invention only involve the structures involved in the embodiments disclosed in this invention. Other structures can be referred to with ordinary designs. In the absence of conflict, the same embodiment and different embodiments of this invention can be combined with each other.
[0049] The above description is merely a preferred embodiment of the present invention and is not intended to limit the present invention. Any modifications, equivalent substitutions, improvements, etc., made within the spirit and principles of the present invention should be included within the protection scope of the present invention.
Claims
1. A cardboard cutting mechanism, characterized in that, include: The frame (1) is provided with a feed end (11) and a discharge end (12). The paperboard to be processed can enter the frame (1) from the feed end (11) and flow out from the discharge end (12). The shearing assembly (2) is installed inside the frame (1) and is located between the feed end (11) and the discharge end (12). It cuts the cardboard that enters the frame (1) from the feed end (11) and sends the cut cardboard out from the discharge end (12). When the shearing assembly (2) sends the cardboard to the discharge end (12), the cardboard waste cut off on the cardboard will fall off.
2. The cardboard cutting mechanism according to claim 1, characterized in that: The shearing assembly (2) includes a cutter (21) and a rotating component (22). There are two sets of rotating components (22), which are cylindrical and are rotatably mounted in the middle of the frame (1). The cutter (21) is detachably fixed on the surface of one set of rotating components (22). The two sets of rotating components (22) rotate towards each other. The cardboard that enters the middle of the frame (1) from the feeding end (11) will enter the middle of the two sets of rotating components (22) and be sent to the discharge end (12) by the two sets of rotating components (22). At the same time, the rotation of the rotating component (22) will drive the cutter (21) to cut the cardboard that passes through the middle of the two sets of rotating components (22).
3. The cardboard cutting mechanism according to claim 2, characterized in that: The shearing assembly (2) also includes a first driving component (23), which includes a first motor (231) which is fixedly installed in the middle of the frame (1). The first motor (231) and a set of rotating components (22) are driven by a first pulley (232) and a first belt (233). Gears (234) are installed on the shafts of the two sets of rotating components (22) and inside the frame (1). The two sets of rotating components (22) are driven by the gears (234). At the same time, the two sets of rotating components (22) rotate in opposite directions under the driving action of the gears (234).
4. The cardboard cutting mechanism according to claim 2, characterized in that: The shearing assembly (2) also includes a feeding component (24), which is installed between the discharge end (12) and the rotating component (22). The feeding component (24) includes a bracket (241) and a first roller (242). The bracket (241) is installed on the side of the rotating component (22) and close to the discharge end (12). There are multiple first rollers (242), and they are arranged in pairs. All the first rollers (242) are rotatably installed on the bracket (241). The two first rollers (242) in each group are driven by a flexible belt (243). The horizontal height of the flexible belt (243) is lower than the horizontal height between the two sets of rotating components (22). At the same time, the cardboard flowing from the middle of the two sets of rotating components (22) to the discharge end (12) will fall on the surface of the flexible belt (243) and move towards the discharge end (12) under the rotation of the flexible belt (243). Meanwhile, the cardboard falling on the flexible belt (243) will be shaken out by the impact force of the falling waste cardboard.
5. A cardboard cutting mechanism according to claim 4, characterized in that: The feeding component (24) also includes a second roller (244) and a transmission rope (245). There are two sets of the second roller (244) and several transmission ropes (245). The transmission ropes (245) are in a ring shape and can be elastically deformed. All transmission ropes (245) are sleeved on the two second rollers (244), and the two second rollers (244) are driven by the transmission ropes (245). The second roller (244) is located at the discharge end (12) of the first roller (242) and can catch the cardboard falling from the flexible belt (243). The rotation of the transmission rope (245) will drive the cardboard box to move towards the discharge end (12).
6. A cardboard cutting mechanism according to claim 5, characterized in that: There is a height difference between the drive rope (245) and the flexible belt (243), which causes the cardboard to elastically tilt from the flexible belt (243) onto the drive rope (245).
7. A cardboard cutting mechanism according to claim 5, characterized in that: The feeding component (24) also includes a shaking roller (246), which is rotatably mounted on the bracket (241) and located in the middle of the transmission rope (245). The shaking roller (246) rotates synchronously with the second roller (244), and the rotation of the shaking roller (246) will cause the cardboard on the transmission rope (245) to vibrate up and down.
8. A cardboard cutting mechanism according to claim 5, characterized in that: The feeding component (24) also includes a third roller (247) and a beating rope (248). There are two sets of third rollers (247). The beating rope (248) is made of elastic material and there are several of them. All the beating ropes (248) are sleeved on the two third rollers (247). At the same time, the two third rollers (247) are driven by the beating rope (248). The third roller (247) is above the second roller (244), and the rotation of the third roller (247) will drive the lower edge of the beating rope (248) to beat the cardboard on the transmission rope (245).
9. A cardboard cutting mechanism according to claim 8, characterized in that: The rotation center of the third roller (247) is eccentrically set with respect to the axis of the third roller (247), and several limiting grooves are machined on its surface. The beating rope (248) is sleeved in the limiting groove. The shearing assembly (2) also includes a second driving component (25), which includes a second motor (251), a second belt (252), and a second pulley (253). The second motor (251) drives the first roller (242), the second roller (244), the third roller (247), and the shaking roller (246) to rotate through the second belt (252) and the second pulley (253).
10. A method for cutting cardboard, using a cardboard cutting mechanism according to any one of claims 1-9, the method comprising: S1: Place the cardboard to be cut from the feed end (11) and let it enter between the two sets of rotating parts (22); S2: Collect the cardboard that flows out from the discharge end (12).