Design method of long cuboid material multi-posture conveying screw rod group based on the principle of intersection

Abstract

The application relates to a design method of a screw rod group based on a penetration principle and realizing multi-posture conveying of cuboid materials, which comprises the following steps: S1, setting initial parameters of the screw rod group and the materials; S2, data checking on the initial parameters set in step S1; S3, solving the trajectory coordinates of the contact positions in the relative motion process of the screw rod female rod 1 of the first screw rod and the second screw rod and the cuboid materials 2; S4, sequentially connecting the trajectory coordinates of the contact positions calculated in step S3 to obtain complete spiral lines of the discrete points on the upper penetration line, the middle penetration line and the lower penetration line, then lofting all the spiral lines into three-dimensional curved surfaces, and cutting corresponding lengths in the three-dimensional curved surfaces according to the lengths of the required first screw rod and the second screw rod; S5, obtaining the required three-dimensional surface of the first screw rod; and S6, obtaining the required three-dimensional surface of the second screw rod. The application can realize the design of the three-dimensional surface of the screw rod group.

Description

Technical Field

[0001] This invention belongs to the field of ultra-high-speed fully automatic feeding technology for automated production lines in the food packaging industry. It relates to a design method for a screw assembly for conveying rectangular materials in multiple postures, and more particularly to a design method for a screw assembly for conveying rectangular materials in multiple postures based on the principle of intersection. Background Technology

[0002] In the production of various products, the speed and stability of the material supply process determine the overall production efficiency of the production line. The main problem that the material supply process needs to solve is the uniform and stable delivery of materials. Furthermore, to shorten the production line length, some processing operations may be completed during the delivery process. This requires the material supply process to not only ensure uniform and stable delivery but also adjust the material's orientation to facilitate comprehensive processing. Currently, advanced production equipment can process tens of thousands of products per hour, and this high-speed processing places even higher demands on material supply technology.

[0003] The screw is a commonly used component in high-speed feeding technology. Its helical design enables variable-pitch material conveying and allows for material rotation in a horizontal plane during this process. Significant research has been conducted on screws, with existing patents such as those with publication numbers CN113752520A, CN113927872, and CN113401379A. However, these patents do not describe the design process of the screw's curved surface.

[0004] In addition, several scholars have published numerous papers related to screw design. Their design methods primarily rely on the geometric volume subtraction function in 3D modeling software, or on solving the analytical equations of the helix to complete the screw design. The key problem with the first method is the lack of independent technological development; its design accuracy and capability depend entirely on the software's functionality. The key problem with the second method is that while the principle is feasible, it focuses on the material's moving helix and fails to provide a design method for the helix required to generate grooves on the screw, making it unsuitable for practical application.

[0005] Therefore, based on the above problems, it is necessary to propose a method for designing the three-dimensional surface of screw assembly by means of the intersection principle of geometric bodies, relying only on simple geometric and relative motion relationships, and thereby completing the development of independent screw design technology.

[0006] A search revealed no prior art documents that are identical or similar to this invention. Summary of the Invention

[0007] The purpose of this invention is to overcome the shortcomings of the prior art and propose a design method for conveying screw assembly that realizes the change of posture and distance of cuboid materials. This design method is based on the intersection principle of geometric bodies and can realize the design of the three-dimensional surface of the screw assembly by simply relying on simple geometric and relative motion relationships through program design.

[0008] The present invention solves its practical problem by adopting the following technical solution:

[0009] A design method for a screw assembly for multi-position conveying of cuboid materials based on the principle of intersection. The screw assembly includes a first screw and a second screw, which are placed in parallel and overlap by at least half the length of the longer screw.

[0010] Its design method includes the following steps:

[0011] S1. Set the initial parameters for the screw assembly and materials;

[0012] S2. Perform data verification on the initial parameters set in step S1;

[0013] S3. Solve for the trajectory coordinates of the contact points between the screw mother rod 1 of the first screw and the cuboid material 2 during their relative motion.

[0014] S4. Connect the trajectory coordinates of each contact part calculated in step S3 in sequence to obtain the complete spiral line of discrete points on the upper intersection line, the middle intersection line and the lower intersection line. Then, use all the spiral lines to loft into a three-dimensional surface, and cut the corresponding length in the three-dimensional surface according to the required length of the first screw and the second screw.

[0015] S5. Using the three curved surfaces of the first screw obtained in S4, remove the excess parts of each of the three curved surfaces according to the intersection line of the three curved surfaces, and use the edge lines of the gaps to lay out the curved surfaces again to obtain the required three-dimensional surface of the first screw.

[0016] S6. Using the three curved surfaces of the second screw obtained in S4, remove the excess parts of each of the three curved surfaces according to the intersection line of the three curved surfaces. The existing gaps are then laid out again as curved surfaces using their edge lines to obtain the required three-dimensional surface of the second screw. The design is now complete.

[0017] Furthermore, the initial parameters of the screw assembly and the material in step S1 are as follows:

[0018] The screw mother rod length L, screw mother rod radius R, screw speed ω, screw group center distance a, number of discrete points N1 of the intersection line between the screw mother rod and the upper side of the cuboid material, number of discrete points N2 of the intersection line between the screw mother rod and the middle of the cuboid material, number of discrete points N3 of the intersection line between the screw mother rod and the lower side of the cuboid material, displacement function s(t) of the cuboid material, rotation angle α of the cuboid material, bottom edge length m of the cuboid material, bottom edge width n of the cuboid material, and height h of the cuboid material, wherein the screw speed ω=360° / s.

[0019] Furthermore, the data verification formula for step S2 is as follows:

[0020] s(t)-s(t-1)>m,(t≥1) (1)

[0021] In the formula, t represents time, in seconds (s).

[0022] If the above equation does not hold, increase the value of the cuboid material displacement function s(t) until the above equation holds.

[0023] If the above formula is true, then the following verification is performed:

[0024] h>2R (2)

[0025] If the above formula holds true, then the initial parameter setting is reasonable. If the above formula does not hold true, then increase the height h of the cuboid material until the above formula holds true.

[0026] Furthermore, the specific steps of step S3 include:

[0027] (1) The contact part between the screw mother rod of the first screw and the second screw and the cuboid material during relative movement is decomposed into three parts: the first part is the upper intersection line, the second part is the middle intersection line and the third part is the lower intersection line.

[0028] (2) Solve the trajectory of discrete points on the intersection line between the screw mother rod of the first screw and the upper side of the cuboid material. Solve the coordinates in the three dimensions of axial, radial and circumferential. At the same time, classify and calculate whether the long side of the cuboid material is parallel to the axis of the screw mother rod.

[0029] (3) Solve the trajectory of discrete points on the intersection line between the screw mother rod of the first screw and the lower side of the cuboid material, and solve the coordinates in the three dimensions of axial, radial and circumferential. At the same time, classify and calculate whether the long side of the cuboid material is parallel to the axis of the mother rod.

[0030] (4) Solve the trajectory of discrete points on the intersection line between the screw mother rod of the first screw and the middle of the cuboid material, and solve the coordinates in the three dimensions of axial, radial and circumferential. At the same time, classify and calculate whether the long side of the cuboid material is parallel to the axis of the mother rod.

[0031] Moreover, the specific method of step (2) of step S3 is as follows:

[0032] The three-dimensional coordinates of the spiral line of the screw mother rod undergoing spiral motion at the discrete points of the intersection line between the screw mother rod and the upper side of the cuboid material are calculated, and the coordinate system adopted is the polar coordinate system.

[0033] In this case, the axial coordinates of all discrete points along the intersection line on the upper side of the first screw are equal, and the calculation formula is as follows:

[0034] If the long side of the cuboid material is parallel to the axis of the first screw, then

[0035]

[0036] In the formula, t is the movement time of the cuboid material;

[0037] If the angle between the long side of the cuboid material and the axis of the first screw is α, then

[0038]

[0039] In the formula, t is the movement time of the cuboid material;

[0040] The axial coordinates of all discrete points on the intersection line on the upper side of the second screw are equal, and the calculation formula is as follows:

[0041] If the long side of the cuboid material is parallel to the axis of the second screw, then

[0042]

[0043] In the formula, t is the movement time of the cuboid material;

[0044] If the angle between the long side of the cuboid material and the axis of the second screw is α, then

[0045]

[0046] In the formula, t is the movement time of the cuboid material;

[0047] The formula for calculating the circumferential coordinates of each discrete point on the intersection line on the upper side of the first screw is:

[0048] If the long side of the cuboid material is parallel to the axis of the first screw, then

[0049]

[0050] In the formula, i = 1, 2, ..., N1, are the discrete point numbers of the upper intersection line, gradually increasing from bottom to top; and t is the movement time of the cuboid material.

[0051] If the angle between the long side of the cuboid material and the axis of the first screw is α, then

[0052]

[0053] In the formula, i = 1, 2, ..., N1, are the discrete point numbers of the upper intersection line, gradually increasing from bottom to top; and t is the movement time of the cuboid material.

[0054] The formula for calculating the circumferential coordinates of each discrete point on the intersection line on the upper side of the second screw is:

[0055] If the long side of the rectangular material is parallel to the screw axis, then

[0056]

[0057] In the formula, i = 1, 2, ..., N1, are the discrete point numbers of the upper intersection line, gradually increasing from bottom to top; and t is the movement time of the cuboid material.

[0058] If the angle between the long side of the cuboid material and the screw axis is α, then

[0059]

[0060] In the formula, i = 1, 2, ..., N1, are the discrete point numbers of the upper intersection line, gradually increasing from bottom to top; and t is the movement time of the cuboid material.

[0061] The formula for calculating the radial coordinates of each discrete point on the intersection line on the upper side of the first screw is:

[0062] If the long side of the cuboid material is parallel to the axis of the first screw, then

[0063]

[0064] In the formula, i = 1, 2, ..., N1, represents the discrete point numbers of the upper intersection line, gradually increasing from bottom to top. If the angle between the long side of the cuboid material and the axis of the first screw is α, then...

[0065]

[0066] In the formula, i = 1, 2, ..., N1, represents the discrete point numbers of the upper intersection line, which gradually increase from bottom to top.

[0067] The formula for calculating the radial coordinates of each discrete point on the intersection line on the upper side of the second screw is:

[0068] If the long side of the cuboid material is parallel to the axis of the second screw, then

[0069]

[0070] In the formula, i = 1, 2, ..., N1, represents the discrete point numbers of the upper intersection line, gradually increasing from bottom to top. If the angle between the long side of the cuboid material and the screw axis is α, then...

[0071]

[0072] In the formula, i = 1, 2, ..., N1, are the discrete points of the upper intersection line, which gradually increase from bottom to top.

[0073] Moreover, the specific method of step S3 (3) is as follows:

[0074] The three-dimensional coordinates of the spiral line formed by the helical motion of the discrete points of the intersection line between the screw and the lower side of the cuboid material are calculated using a polar coordinate system. The axial coordinates of all discrete points on the lower side intersection line of the first screw are equal, and the calculation formula is as follows:

[0075] If the long side of the cuboid material is parallel to the axis of the first screw, then

[0076]

[0077] In the formula, t represents the movement time of the rectangular material.

[0078] If the angle between the long side of the cuboid material and the axis of the first screw is α, then

[0079]

[0080] In the formula, t represents the movement time of the rectangular material.

[0081] The axial coordinates of all discrete points along the intersection line on the lower side of the second screw are equal, and the calculation formula is as follows:

[0082] If the long side of the cuboid material is parallel to the axis of the second screw, then

[0083]

[0084] In the formula, t represents the movement time of the rectangular material.

[0085] If the angle between the long side of the cuboid material and the axis of the second screw is α, then

[0086]

[0087] In the formula, t represents the movement time of the rectangular material.

[0088] The formula for calculating the circumferential coordinates of each discrete point on the intersection line on the lower side of the first screw is:

[0089] If the long side of the cuboid material is parallel to the axis of the first screw, then

[0090]

[0091] In the formula, i = 1, 2, ..., N3, are the discrete points of the lower intersection line, which gradually increase from top to bottom; and t is the movement time of the cuboid material.

[0092] If the angle between the long side of the cuboid material and the axis of the first screw is α, then

[0093]

[0094] In the formula, i = 1, 2, ..., N3, are the discrete points of the lower intersection line, which gradually increase from top to bottom; and t is the movement time of the cuboid material.

[0095] The formula for calculating the circumferential coordinates of each discrete point on the intersection line on the lower side of the second screw is:

[0096] If the long side of the cuboid material is parallel to the axis of the second screw, then

[0097]

[0098] In the formula, i = 1, 2, ..., N3, are the discrete points of the lower intersection line, which gradually increase from top to bottom; and t is the movement time of the cuboid material.

[0099] If the angle between the long side of the cuboid material and the axis of the second screw is α, then

[0100]

[0101] In the formula, i = 1, 2, ..., N3, are the discrete points of the lower intersection line, which gradually increase from top to bottom; and t is the movement time of the cuboid material.

[0102] The formula for calculating the radial coordinates of each discrete point on the intersection line on the lower side of the first screw is:

[0103] If the long side of the cuboid material is parallel to the axis of the first screw, then

[0104]

[0105] In the formula, i = 1, 2, ..., N3, are the discrete points of the lower intersection line, which gradually increase from top to bottom; and t is the movement time of the cuboid material.

[0106] If the angle between the long side of the cuboid material and the axis of the first screw is α, then

[0107]

[0108] In the formula, i = 1, 2, ..., N3, are the discrete points of the lower intersection line, which gradually increase from top to bottom.

[0109] The formula for calculating the radial coordinates of each discrete point on the intersection line on the lower side of the second screw is:

[0110] If the long side of the cuboid material is parallel to the axis of the second screw, then

[0111]

[0112] In the formula, i = 1, 2, ..., N3, are the discrete point numbers of the lower intersection line, gradually increasing from top to bottom. If the angle between the long side of the cuboid material and the axis of the second screw is α, then...

[0113]

[0114] In the formula, i = 1, 2, ..., N3, are the discrete points of the lower intersection line, which gradually increase from top to bottom;

[0115] Furthermore, the specific method for step (4) of step S3 is as follows:

[0116] The three-dimensional coordinates of the spiral line, which undergoes helical motion at discrete points along the intersection line between the screw and the middle of the cuboid material, are calculated using a polar coordinate system. The formula for calculating the axial coordinates of each discrete point along the intersection line at the middle of the first screw is as follows:

[0117] If the long side of the cuboid material is parallel to the axis of the first screw, then

[0118]

[0119] In the formula, i = 1, 2, 3, ..., N2, represents the index of each discrete point on the intersection line in the middle, which gradually increases from front to back; t represents the movement time of the cuboid material.

[0120] If the angle between the long side of the cuboid material and the axis of the first screw is α, then

[0121]

[0122] In the formula, i = 1, 2, 3, ..., N2, representing the index of each discrete point on the intersection line in the middle, which gradually increases from front to back; and t represents the movement time of the cuboid material.

[0123] The formula for calculating the axial coordinates of each discrete point on the intersection line at the middle of the second screw is:

[0124] If the long side of the cuboid material is parallel to the axis of the second screw, then

[0125]

[0126] In the formula, i = 1, 2, 3, ..., N2, represents the index of each discrete point on the intersection line in the middle, which gradually increases from front to back; t represents the movement time of the cuboid material.

[0127] If the angle between the long side of the cuboid material and the axis of the second screw is α, then

[0128]

[0129] In the formula, i = 1, 2, 3, ..., N2, representing the index of each discrete point on the intersection line in the middle, which gradually increases from front to back; and t represents the movement time of the cuboid material.

[0130] The circumferential coordinates of all discrete points along the intersection line at the middle of the first screw are equal, and the calculation formula is as follows:

[0131]

[0132] In the formula, t represents the movement time of the rectangular material.

[0133] The circumferential coordinates of all discrete points along the intersection line at the middle of the second screw are equal, and the calculation formula is as follows:

[0134]

[0135] In the formula, t represents the movement time of the rectangular material.

[0136] The formula for calculating the radial coordinates of each discrete point on the intersection line at the middle of the first screw is:

[0137] If the long side of the cuboid material is parallel to the axis of the first screw, then the radial coordinates of all discrete points are equal, and

[0138]

[0139] If the angle between the long side of the cuboid material and the axis of the first screw is α, then

[0140]

[0141] In the formula, i = 1, 2, 3, ..., N2, representing the index of each discrete point on the intersection line in the middle, which gradually increases from front to back.

[0142] The formula for calculating the radial coordinates of each discrete point on the intersection line at the middle of the second screw is:

[0143] If the long side of the cuboid material is parallel to the axis of the second screw, then the radial coordinates of all discrete points are equal, and

[0144]

[0145] If the angle between the long side of the cuboid material and the axis of the second screw is α, then

[0146]

[0147] In the formula, i = 1, 2, 3, ..., N2, the index of each discrete point of the intersection line in the middle gradually increases from front to back.

[0148] Advantages and beneficial effects of the present invention:

[0149] 1. This invention utilizes the positional relationship between the intersecting space of a cylinder and a cuboid, as well as their contact relationship during mutual movement, to propose for the first time a screw assembly directly calculates the contact line between the screw assembly and the cuboid material. It then uses a screw design method that lofts all contact line trajectories into a three-dimensional curved surface to obtain the final design result. Its design principle conforms to real-world physical scenarios, the calculation process is simple, it is applicable to cuboid materials of various geometric dimensions, and the initial data can be verified to determine its rationality. The final design result is easy to manufacture. Therefore, the design method in this invention is logically rigorous, reliable, and can systematically solve the design problem of screw assemblies for conveying cuboid materials, ensuring very high accuracy.

[0150] 2. The screw assembly obtained using the design method of this invention has a surface formed by multiple helical lines, resulting in a very smooth surface. This ensures that the material surface will not be scratched during movement. Furthermore, the coordinates of any point on the screw assembly surface are calculated based on contact relationships, resulting in a very small contact gap with the cuboid material, preventing material swaying during movement. This invention has a certain promotional value for the further development of high-speed and stable feeding technology for cuboid materials. Attached Figure Description

[0151] Figure 1 This is a schematic diagram illustrating the intersection principle of the space between a cylinder and a cuboid, upon which the design process of this invention is based;

[0152] Figure 2 This is a trajectory diagram of nine contact points on the intersection line between the first screw and the cuboid material in the screw assembly provided in an embodiment of the present invention;

[0153] Figure 3 This is a schematic diagram of the three-dimensional surface of the screw assembly provided in an embodiment of the present invention;

[0154] Explanation of reference numerals in the attached figures:

[0155] 1-Screw; 2-Rectangular material; 3-Upper intersection line; 4-Middle intersection line; 5-Lower intersection line; 6-Direction of movement of the rectangular material; 7-Direction of screw rotation; 8, 9, 10-Trajectory lines of 3 contact points on the upper intersection line; 11, 12, 13-Trajectory lines of 3 contact points on the lower intersection line; 14, 15, 16-Trajectory lines of 3 contact points on the middle intersection line; 17-First screw; 18-Second screw. Detailed Implementation

[0156] The embodiments of the present invention will be further described in detail below with reference to the accompanying drawings:

[0157] A design method for a screw assembly for multi-position conveying of cuboid materials based on the principle of intersection. The screw assembly includes a first screw 17 and a second screw 18, which are placed in parallel and overlap by at least half the length of the longer screw.

[0158] Its design method includes the following steps:

[0159] S1. Set the initial parameters for the screw assembly and materials;

[0160] The initial parameters for the screw assembly and material in step S1 are as follows:

[0161] The screw mother rod 1 has the following parameters: length L, radius R, screw speed ω, center distance a, number of discrete points N1 of the intersection line 3 between the screw mother rod 1 and the upper side of the cuboid material 2, number of discrete points N2 of the intersection line 4 between the screw mother rod 1 and the middle side of the cuboid material 2, number of discrete points N3 of the intersection line 5 between the screw mother rod 1 and the lower side of the cuboid material 2, displacement function s(t) of the cuboid material 2, rotation angle α of the cuboid material 2, base length m of the cuboid material 2, base width n of the cuboid material 2, and height h of the cuboid material 2. The screw speed ω = 360° / s.

[0162] S2. Perform data verification on the initial parameters set in step S1;

[0163] The data verification formula for step S2 is as follows:

[0164] s(t)-s(t-1)>m,(t≥1) (1)

[0165] In the formula, t represents time, in seconds (s).

[0166] If the above equation does not hold, increase the value of the displacement function s(t) of the cuboid material 2 until the above equation holds.

[0167] If the above formula is true, then the following verification is performed:

[0168] h>2R(2)

[0169] If the above formula holds true, then the initial parameter setting is reasonable. If the above formula does not hold true, then increase the height h of the cuboid material until the above formula holds true.

[0170] S3. Solve for the trajectory coordinates of the contact points between the screw mother rod 1 of the first screw and the cuboid material 2 during their relative motion.

[0171] The specific steps of step S3 include:

[0172] (1) During the relative movement of the screw mother rod 1 of the first screw and the second screw with the cuboid material 2, the contact part is divided into three parts: the first part is the upper intersection line 3, the second part is the middle intersection line 4 and the third part is the lower intersection line 5.

[0173] (2) Solve the trajectory of discrete points on the intersection line 3 between the screw mother rod 1 of the first screw and the upper side of the cuboid material 2. Solve the coordinates in the three dimensions of axial, radial and circumferential. At the same time, classify and calculate whether the long side of the cuboid material 2 is parallel to the axis of the screw mother rod 1.

[0174] The specific method for step (2) of step S3 is as follows:

[0175] The three-dimensional coordinates of the spiral line of the screw mother rod 1 and the discrete points of the intersection line 3 on the upper side of the cuboid material 2 are calculated. The coordinate system adopted is the polar coordinate system.

[0176] Among them, the axial coordinates of all discrete points on the intersection line 3 on the upper side of the first screw 17 are equal, and the calculation formula is as follows:

[0177] If the long side of the cuboid material 2 is parallel to the axis of the first screw 17, then

[0178]

[0179] In the formula, t is the movement time of the cuboid material 2;

[0180] If the angle between the long side of the cuboid material 2 and the axis of the first screw 17 is α, then

[0181]

[0182] In the formula, t is the movement time of the cuboid material 2;

[0183] The axial coordinates of all discrete points on the intersection line 3 on the upper side of the second screw 18 are equal, and the calculation formula is as follows:

[0184] If the long side of the cuboid material 2 is parallel to the axis of the second screw 18, then

[0185]

[0186] In the formula, t is the movement time of the cuboid material 2;

[0187] If the angle between the long side of the cuboid material 2 and the axis of the second screw 18 is α, then

[0188]

[0189] In the formula, t is the movement time of the cuboid material 2;

[0190] The formula for calculating the circumferential coordinates of each discrete point on the intersection line 3 on the upper side of the first screw 17 is as follows:

[0191] If the long side of the cuboid material 2 is parallel to the axis of the first screw 17, then

[0192]

[0193] In the formula, i = 1, 2, ..., N1, are the discrete point numbers of the upper intersection line 3, which gradually increase from bottom to top; and t is the movement time of the cuboid material 2.

[0194] If the angle between the long side of the cuboid material 2 and the axis of the first screw 17 is α, then

[0195]

[0196] In the formula, i = 1, 2, ..., N1, are the discrete point numbers of the upper intersection line 3, which gradually increase from bottom to top; and t is the movement time of the cuboid material 2.

[0197] The formula for calculating the circumferential coordinates of each discrete point on the intersection line 3 on the upper side of the second screw 18 is as follows:

[0198] If the long side of the cuboid material 2 is parallel to the axis of the screw 18, then

[0199]

[0200] In the formula, i = 1, 2, ..., N1, are the discrete point numbers of the upper intersection line 3, which gradually increase from bottom to top; and t is the movement time of the cuboid material 2.

[0201] If the angle between the long side of the cuboid material 2 and the axis of the screw 18 is α, then

[0202]

[0203] In the formula, i = 1, 2, ..., N1, are the discrete point numbers of the upper intersection line 3, which gradually increase from bottom to top; and t is the movement time of the cuboid material 2.

[0204] The formula for calculating the radial coordinates of each discrete point on the intersection line 3 on the upper side of the first screw 17 is as follows:

[0205] If the long side of the cuboid material 2 is parallel to the axis of the first screw 17, then

[0206]

[0207] In the formula, i = 1, 2, ..., N1, are the discrete point numbers of the upper intersection line 3, gradually increasing from bottom to top. If the angle between the long side of the cuboid material 2 and the axis of the first screw 17 is α, then...

[0208]

[0209] In the formula, i = 1, 2, ..., N1, are the discrete point numbers of the upper intersection line 3, which gradually increase from bottom to top.

[0210] The formula for calculating the radial coordinates of each discrete point on the intersection line 3 on the upper side of the second screw 18 is as follows:

[0211] If the long side of the cuboid material 2 is parallel to the axis of the second screw 18, then

[0212]

[0213] In the formula, i = 1, 2, ..., N1, are the discrete point numbers of the upper intersection line 3, gradually increasing from bottom to top. If the angle between the long side of the cuboid material 2 and the axis of the screw 18 is α, then...

[0214]

[0215] In the formula, i = 1, 2, ..., N1, are the discrete points of the upper intersection line 3, which gradually increase from bottom to top.

[0216] (3) Solve the trajectory of discrete points on the intersection line 5 between the screw mother rod 1 of the first screw and the lower side of the cuboid material 2. Solve the coordinates in the three dimensions of axial, radial and circumferential. At the same time, classify and calculate whether the long side of the cuboid material 2 is parallel to the axis of the mother rod 1.

[0217] The specific method for step S3 (3) is as follows:

[0218] The three-dimensional coordinates of the spiral line formed by the discrete points of the intersection line 4 between the screw mother rod 1 and the lower side of the cuboid material 2 are calculated. The coordinate system adopted is the polar coordinate system, wherein the axial coordinates of all discrete points on the lower side intersection line of the first screw 17 are equal, and the calculation formula is as follows:

[0219] If the long side of the cuboid material 2 is parallel to the axis of the first screw 17, then

[0220]

[0221] In the formula, t is the movement time of the cuboid material 2.

[0222] If the angle between the long side of the cuboid material 2 and the axis of the first screw 17 is α, then

[0223]

[0224] In the formula, t is the movement time of the cuboid material 2.

[0225] The axial coordinates of all discrete points on the intersection line 5 on the lower side of the second screw 18 are equal, and the calculation formula is as follows:

[0226] If the long side of the cuboid material 2 is parallel to the axis of the second screw 18, then

[0227]

[0228] In the formula, t is the movement time of the cuboid material 2.

[0229] If the angle between the long side of the cuboid material 2 and the axis of the second screw 18 is α, then

[0230]

[0231] In the formula, t is the movement time of the cuboid material 2.

[0232] The formula for calculating the circumferential coordinates of each discrete point on the lower intersection line of the first screw 17 is as follows:

[0233] If the long side of the cuboid material 2 is parallel to the axis of the first screw 17, then

[0234]

[0235] In the formula, i = 1, 2, ..., N3, are the discrete points of the lower intersection line, which gradually increase from top to bottom; and t is the movement time of the cuboid material 2.

[0236] If the angle between the long side of the cuboid material 2 and the axis of the first screw 17 is α, then

[0237]

[0238] In the formula, i = 1, 2, ..., N3, are the discrete point numbers of the lower intersection line 5, which gradually increase from top to bottom; and t is the movement time of the cuboid material 2.

[0239] The formula for calculating the circumferential coordinates of each discrete point on the lower intersection line of the second screw 18 is as follows:

[0240] If the long side of the cuboid material 2 is parallel to the axis of the second screw 18, then

[0241]

[0242] In the formula, i = 1, 2, ..., N3, are the discrete point numbers of the lower intersection line 5, which gradually increase from top to bottom; and t is the movement time of the cuboid material 2.

[0243] If the angle between the long side of the cuboid material 2 and the axis of the second screw 18 is α, then

[0244]

[0245] In the formula, i = 1, 2, ..., N3, are the discrete point numbers of the lower intersection line 5, which gradually increase from top to bottom; and t is the movement time of the cuboid material 2.

[0246] The formula for calculating the radial coordinates of each discrete point on the lower intersection line of the first screw 17 is as follows:

[0247] If the long side of the cuboid material 2 is parallel to the axis of the first screw 17, then

[0248]

[0249] In the formula, i = 1, 2, ..., N3, are the discrete point numbers of the lower intersection line 5, which gradually increase from top to bottom; and t is the movement time of the cuboid material 2.

[0250] If the angle between the long side of the cuboid material 2 and the axis of the first screw 17 is α, then

[0251]

[0252] In the formula, i = 1, 2, ..., N3, are the discrete point numbers of the lower intersection line 5, which gradually increase from top to bottom.

[0253] The formula for calculating the radial coordinates of each discrete point on the lower intersection line of the second screw 18 is as follows:

[0254] If the long side of the cuboid material 2 is parallel to the axis of the second screw 18, then

[0255]

[0256] In the formula, i = 1, 2, ..., N3, are the discrete point numbers of the lower intersection line 5, gradually increasing from top to bottom. If the angle between the long side of the cuboid material 2 and the axis of the second screw 18 is α, then...

[0257]

[0258] In the formula, i = 1, 2, ..., N3, are the discrete points of the lower intersection line 5, which gradually increase from top to bottom;

[0259] (4) Solve the trajectory of discrete points on the intersection line 4 between the screw mother rod 1 of the first screw and the cuboid material 2 in the middle. Solve the coordinates in the three dimensions of axial, radial and circumferential. At the same time, classify and calculate whether the long side of the cuboid material 2 is parallel to the axis of the mother rod 1.

[0260] The specific method for step (4) of step S3 is as follows:

[0261] The three-dimensional coordinates of the spiral line of the intersection line between the screw mother rod 1 and the cuboid material 2 are calculated using a polar coordinate system. The formula for calculating the axial coordinates of each discrete point on the intersection line of the first screw 17 is as follows:

[0262] If the long side of the cuboid material 2 is parallel to the axis of the first screw 17, then

[0263]

[0264] In the formula, i = 1, 2, 3, ..., N2, represents the index of each discrete point on the central intersection line 4, which gradually increases from front to back. In the formula, t represents the movement time of the cuboid material 2.

[0265] If the angle between the long side of the cuboid material 2 and the axis of the first screw 17 is α, then

[0266]

[0267] In the formula, i = 1, 2, 3, ..., N2, the index of each discrete point on the central intersection line 4 gradually increases from front to back, and t is the movement time of the cuboid material 2.

[0268] The formula for calculating the axial coordinates of each discrete point on the intersection line 4 at the middle of the second screw 18 is as follows:

[0269] If the long side of the cuboid material 2 is parallel to the axis of the second screw 18, then

[0270]

[0271] In the formula, i = 1, 2, 3, ..., N2, represents the index of each discrete point on the central intersection line 4, which gradually increases from front to back. In the formula, t represents the movement time of the cuboid material 2.

[0272] If the angle between the long side of the cuboid material 2 and the axis of the second screw 18 is α, then

[0273]

[0274] In the formula, i = 1, 2, 3, ..., N2, the index of each discrete point on the central intersection line 4 gradually increases from front to back, and t is the movement time of the cuboid material 2.

[0275] The circumferential coordinates of all discrete points along the intersection line 4 at the middle of the first screw 17 are equal, and the calculation formula is as follows:

[0276]

[0277] In the formula, t is the movement time of the cuboid material 2.

[0278] The circumferential coordinates of all discrete points along the intersection line 4 at the middle of the second screw 18 are equal, and the calculation formula is as follows:

[0279]

[0280] In the formula, t is the movement time of the cuboid material 2.

[0281] The formula for calculating the radial coordinates of each discrete point on the intersection line 4 at the middle of the first screw 17 is as follows:

[0282] If the long side of the cuboid material 2 is parallel to the axis of the first screw 17, then the radial coordinates of all discrete points are equal, and

[0283]

[0284] If the angle between the long side of the cuboid material 2 and the axis of the first screw 17 is α, then

[0285]

[0286] In the formula, i = 1, 2, 3, ..., N2, and the index of each discrete point on the central intersection line 4 gradually increases from front to back.

[0287] The formula for calculating the radial coordinates of each discrete point on the intersection line at the middle of the second screw 18 is as follows:

[0288] If the long side of the cuboid material 2 is parallel to the axis of the second screw 18, then the radial coordinates of all discrete points are equal, and

[0289]

[0290] If the angle between the long side of the cuboid material 2 and the axis of the second screw 18 is α, then

[0291]

[0292] In the formula, i = 1, 2, 3, ..., N2, and the index of each discrete point on the central intersection line 4 gradually increases from front to back.

[0293] S4. Connect the spiral segments calculated in step S3 in sequence to obtain the complete spirals at discrete points on the intersection lines 3, 4 and 5. Then, use all the spirals to loft into a three-dimensional surface, and cut the corresponding length in the three-dimensional surface according to the required length of the first screw 17 and the second screw 18.

[0294] S5. Using the three curved surfaces of the first screw 17 obtained in S4, remove the excess parts of each of the three curved surfaces according to the intersection line of the three curved surfaces, and use the edge lines of the gaps to lay out the curved surfaces again to obtain the required three-dimensional surface of the first screw 17.

[0295] S6. Using the three curved surfaces of the second screw 18 obtained in S4, remove the excess parts of each of the three curved surfaces according to the intersection line of the three curved surfaces. The existing gaps are then laid out again as curved surfaces using their edge lines to obtain the required three-dimensional surface of the second screw 18. The design is now complete.

[0296] A program that can perform loop calculations can be designed using C++ (other programming languages ​​can also be used). After the above steps, the helical coordinates of discrete points within the intersection line of the screw assembly and the cuboid material 2 can be obtained. After being laid out into a curved surface, the screw assembly design is completed, and its three-dimensional curved surface can be directly supplied to CNC machine tools for screw processing.

[0297] The invention will be further illustrated below with specific examples:

[0298] This embodiment provides a screw assembly design method for conveying cuboid materials. The screw assembly includes two screws of the same length, which are placed side by side. The cuboid material is embedded in the groove between the two screws. When the two screws rotate in opposite directions, the cuboid material is pushed forward by the screw assembly. The bottom surface of the cuboid material is square, and the height of the cuboid material is not less than the diameter of the screw.

[0299] Based on the commonly used dimensions and production requirements of existing cuboid paper boxes, the following specifications are determined: the long side of cuboid material 2 is 0.135 meters, the wide side is 0.11 meters, the length L of screw mother rod 1 is 1.4 meters, the radius R of screw mother rod 1 is 0.15 meters, the rotational speed ω of screws 17 and 18 is 360° / second, the center distance a between screws 17 and 18 is 0.19 meters, the number of contact points N1 on the upper intersection line 3 of screws 17 and 18 with cuboid material 2 is 20, the number of contact points N2 on the middle intersection line 4 of screws 17 and 18 with cuboid material 2 is 10, and the number of contact points N2 on the lower intersection line 5 of screws 17 and 18 with cuboid material 2 is... The number of upper contact points N3 is 20. The cuboid material 2 first enters between screws 17 and 18 with a deflection of 10° and moves at a constant speed of 0.2 m / s for 2s. Then the deflection angle gradually decreases to 0 and the speed accelerates to 0.243 m / s. It moves at this constant speed for 3s. According to formulas (1) to (36), it is programmed using C++ (other programming languages ​​can also be used). After 2 or 3 layers of nested loops, the three-dimensional coordinates of the trajectories of the upper intersection line 3, the middle intersection line 4 and the lower intersection line 5 are obtained and laid out into a three-dimensional curved surface. The intersection line trajectory and the three-dimensional surface are as follows. Figure 2 and Figure 3 As shown.

[0300] As can be seen from this example, the screw assembly design method introduced in this invention is clear and explicit. Its design principle is derived from the intersecting positional relationship in real physical scenarios and the contact relationship during mutual movement. Only simple geometric knowledge is required to achieve coordinate solution. At the same time, the gap between the first screw 17 and the second screw 18 can be precisely assembled with the cuboid material 2, avoiding the shaking of the cuboid material 2 during acceleration and deceleration, and fully realizing the motion law requirements of the cuboid material 2.

[0301] It should be emphasized that the embodiments described in this invention are illustrative rather than limiting. Therefore, this invention includes, but is not limited to, the embodiments described in the specific implementation. Any other implementations derived by those skilled in the art based on the technical solutions of this invention are also within the scope of protection of this invention.

Claims

1. A screw assembly design method for multi-position conveying of cuboid materials based on the intersection principle, characterized in that: The screw assembly includes a first screw and a second screw, which are placed in parallel and overlap at least half the length of the longer screw when placed. Its design method includes the following steps: S1. Set the initial parameters for the screw assembly and materials; S2. Perform data verification on the initial parameters set in step S1; S3. Solve for the trajectory coordinates of the contact points between the screw mother rods of the first and second screws and the cuboid material during their relative motion. S4. Connect the trajectory coordinates of each contact part calculated in step S3 in sequence to obtain the complete spiral line of discrete points on the upper intersection line, the middle intersection line and the lower intersection line. Then, use all the spiral lines to loft into a three-dimensional surface, and cut the corresponding length in the three-dimensional surface according to the required length of the first screw and the second screw. S5. Using the three curved surfaces of the first screw obtained in S4, remove the excess parts of each of the three curved surfaces according to the intersection line of the three curved surfaces, and use the edge lines of the gaps to lay out the curved surfaces again to obtain the required three-dimensional surface of the first screw. S6. Using the three curved surfaces of the second screw obtained in S4, remove the excess parts of each of the three curved surfaces according to the intersection line of the three curved surfaces. The existing gaps are then laid out again as curved surfaces using their edge lines to obtain the required three-dimensional surface of the second screw. The design is now complete. The specific steps of step S3 include: (1) The contact part between the screw mother rod of the first screw and the second screw and the cuboid material during relative movement is decomposed into three parts: the first part is the upper intersection line, the second part is the middle intersection line and the third part is the lower intersection line. (2) Solve the trajectory of discrete points on the intersection line between the screw mother rod of the first screw and the upper side of the cuboid material. Solve the coordinates in the three dimensions of axial, radial and circumferential. At the same time, classify and calculate whether the long side of the cuboid material is parallel to the axis of the screw mother rod. (3) Solve the trajectory of discrete points on the intersection line between the screw mother rod of the first screw and the lower side of the cuboid material, and solve the coordinates in the three dimensions of axial, radial and circumferential. At the same time, classify and calculate whether the long side of the cuboid material is parallel to the axis of the mother rod. (4) Solve the trajectory of discrete points on the intersection line between the screw mother rod of the first screw and the middle of the cuboid material, and solve the coordinates in the three dimensions of axial, radial and circumferential. At the same time, classify and calculate whether the long side of the cuboid material is parallel to the axis of the mother rod.

2. The screw assembly design method for multi-position conveying of cuboid materials based on the intersection principle according to claim 1, characterized in that: The initial parameters for the screw assembly and material in step S1 are as follows: The screw mother rod length L, screw mother rod radius R, screw speed ω, screw group center distance a, number of discrete points N1 of the intersection line between the screw mother rod and the upper side of the cuboid material, number of discrete points N2 of the intersection line between the screw mother rod and the middle of the cuboid material, number of discrete points N3 of the intersection line between the screw mother rod and the lower side of the cuboid material, displacement function s(t) of the cuboid material, rotation angle α of the cuboid material, bottom edge length m of the cuboid material, bottom edge width n of the cuboid material, and height h of the cuboid material, wherein the screw speed ω=360° / s.

3. The screw assembly design method for multi-position conveying of cuboid materials based on the intersection principle according to claim 1, characterized in that: The data verification formula for step S2 is as follows: s(t)-s(t-1)>m,(t≥1) (1) In the formula, t represents time, in seconds (s). If the above equation does not hold, increase the value of the cuboid material displacement function s(t) until the above equation holds. If the above formula is true, then the following verification is performed: h>2R (2) If the above formula holds true, then the initial parameter setting is reasonable. If the above formula does not hold true, then increase the height h of the cuboid material until the above formula holds true.

4. The screw assembly design method for multi-position conveying of cuboid materials based on the intersection principle according to claim 1, characterized in that: The specific method for step (2) of step S3 is as follows: The three-dimensional coordinates of the spiral line of the screw mother rod undergoing spiral motion at the discrete points of the intersection line between the screw mother rod and the upper side of the cuboid material are calculated, and the coordinate system adopted is the polar coordinate system. In this case, the axial coordinates of all discrete points along the intersection line on the upper side of the first screw are equal, and the calculation formula is as follows: If the long side of the cuboid material is parallel to the axis of the first screw, then In the formula, t is the movement time of the cuboid material; If the angle between the long side of the cuboid material and the axis of the first screw is α, then In the formula, t is the movement time of the cuboid material; The axial coordinates of all discrete points on the intersection line on the upper side of the second screw are equal, and the calculation formula is as follows: If the long side of the cuboid material is parallel to the axis of the second screw, then In the formula, t is the movement time of the cuboid material; If the angle between the long side of the cuboid material and the axis of the second screw is α, then In the formula, t is the movement time of the cuboid material; The formula for calculating the circumferential coordinates of each discrete point on the intersection line on the upper side of the first screw is: If the long side of the cuboid material is parallel to the axis of the first screw, then In the formula, i = 1, 2, ..., N1, are the discrete point numbers of the upper intersection line, gradually increasing from bottom to top; and t is the movement time of the cuboid material. If the angle between the long side of the cuboid material and the axis of the first screw is α, then In the formula, i = 1, 2, ..., N1, are the discrete point numbers of the upper intersection line, gradually increasing from bottom to top; and t is the movement time of the cuboid material. The formula for calculating the circumferential coordinates of each discrete point on the intersection line on the upper side of the second screw is: If the long side of the cuboid material is parallel to the axis of the second screw, then In the formula, i = 1, 2, ..., N1, are the discrete point numbers of the upper intersection line, gradually increasing from bottom to top; and t is the movement time of the cuboid material. If the angle between the long side of the cuboid material and the axis of the second screw is α, then In the formula, i = 1, 2, ..., N1, are the discrete point numbers of the upper intersection line, gradually increasing from bottom to top; and t is the movement time of the cuboid material. The formula for calculating the radial coordinates of each discrete point on the intersection line on the upper side of the first screw is: If the long side of the cuboid material is parallel to the axis of the first screw, then In the formula, i = 1, 2, ..., N1, represents the discrete point numbers of the upper intersection line, which gradually increase from bottom to top. If the angle between the long side of the cuboid material and the axis of the first screw is α, then In the formula, i = 1, 2, ..., N1, represents the discrete point numbers of the upper intersection line, which gradually increase from bottom to top. The formula for calculating the radial coordinates of each discrete point on the intersection line on the upper side of the second screw is: If the long side of the cuboid material is parallel to the axis of the second screw, then In the formula, i = 1, 2, ..., N1, represents the discrete point numbers of the upper intersection line, which gradually increase from bottom to top. If the angle between the long side of the cuboid material and the axis of the second screw is α, then In the formula, i = 1, 2, ..., N1, are the discrete points of the upper intersection line, which gradually increase from bottom to top.

5. The screw assembly design method for multi-position conveying of cuboid materials based on the intersection principle according to claim 1, characterized in that: The specific method for step S3 (3) is as follows: The three-dimensional coordinates of the spiral line formed by the helical motion of the discrete points of the intersection line between the screw and the lower side of the cuboid material are calculated using a polar coordinate system. The axial coordinates of all discrete points on the lower side intersection line of the first screw are equal, and the calculation formula is as follows: If the long side of the cuboid material is parallel to the axis of the first screw, then In the formula, t represents the movement time of the rectangular material. If the angle between the long side of the cuboid material and the axis of the first screw is α, then In the formula, t represents the movement time of the rectangular material. The axial coordinates of all discrete points on the intersection line on the lower side of the second screw are equal, and the calculation formula is as follows: If the long side of the cuboid material is parallel to the axis of the second screw, then In the formula, t represents the movement time of the rectangular material. If the angle between the long side of the cuboid material and the axis of the second screw is α, then In the formula, t represents the movement time of the rectangular material. The formula for calculating the circumferential coordinates of each discrete point on the intersection line on the lower side of the first screw is: If the long side of the cuboid material is parallel to the axis of the first screw, then In the formula, i = 1, 2, ..., N3, are the discrete point numbers of the lower intersection line, gradually increasing from top to bottom; and t is the movement time of the cuboid material. If the angle between the long side of the cuboid material and the axis of the first screw is α, then In the formula, i = 1, 2, ..., N3, are the discrete point numbers of the lower intersection line, gradually increasing from top to bottom; and t is the movement time of the cuboid material. The formula for calculating the circumferential coordinates of each discrete point on the intersection line on the lower side of the second screw is: If the long side of the cuboid material is parallel to the axis of the second screw, then In the formula, i = 1, 2, ..., N3, are the discrete point numbers of the lower intersection line, gradually increasing from top to bottom; and t is the movement time of the cuboid material. If the angle between the long side of the cuboid material and the axis of the second screw is α, then In the formula, i = 1, 2, ..., N3, are the discrete point numbers of the lower intersection line, gradually increasing from top to bottom; and t is the movement time of the cuboid material. The formula for calculating the radial coordinates of each discrete point on the intersection line on the lower side of the first screw is: If the long side of the cuboid material is parallel to the axis of the first screw, then In the formula, i = 1, 2, ..., N3, are the discrete point numbers of the lower intersection line, gradually increasing from top to bottom; and t is the movement time of the cuboid material. If the angle between the long side of the cuboid material and the axis of the first screw is α, then In the formula, i = 1, 2, ..., N3, are the discrete points of the lower intersection line, which gradually increase from top to bottom. The formula for calculating the radial coordinates of each discrete point on the intersection line on the lower side of the second screw is: If the long side of the cuboid material is parallel to the axis of the second screw, then In the formula, i = 1, 2, ..., N3, are the discrete points of the lower intersection line, which gradually increase from top to bottom. If the angle between the long side of the cuboid material and the axis of the second screw is α, then In the formula, i = 1, 2, ..., N3, are the discrete points of the lower intersection line, which gradually increase from top to bottom.

6. The screw assembly design method for multi-position conveying of cuboid materials based on the intersection principle according to claim 1, characterized in that: The specific method for step (4) of step S3 is as follows: The three-dimensional coordinates of the spiral line, which undergoes helical motion at discrete points along the intersection line between the screw and the middle of the cuboid material, are calculated using a polar coordinate system. The formula for calculating the axial coordinates of each discrete point along the intersection line at the middle of the first screw is as follows: If the long side of the cuboid material is parallel to the axis of the first screw, then In the formula, i = 1, 2, 3, ..., N2, represents the index of each discrete point on the intersection line in the middle, which gradually increases from front to back; t represents the movement time of the cuboid material. If the angle between the long side of the cuboid material and the axis of the first screw is α, then In the formula, i = 1, 2, 3, ..., N2, representing the index of each discrete point on the intersection line in the middle, which gradually increases from front to back; and t represents the movement time of the cuboid material. The formula for calculating the axial coordinates of each discrete point on the intersection line at the middle of the second screw is: If the long side of the cuboid material is parallel to the axis of the second screw, then In the formula, i = 1, 2, 3, ..., N2, represents the index of each discrete point on the intersection line in the middle, which gradually increases from front to back; t represents the movement time of the cuboid material. If the angle between the long side of the cuboid material and the axis of the second screw is α, then In the formula, i = 1, 2, 3, ..., N2, representing the index of each discrete point on the intersection line in the middle, which gradually increases from front to back; and t represents the movement time of the cuboid material. The circumferential coordinates of all discrete points along the intersection line at the middle of the first screw are equal, and the calculation formula is as follows: In the formula, t represents the movement time of the rectangular material. The circumferential coordinates of all discrete points along the intersection line at the middle of the second screw are equal, and the calculation formula is as follows: In the formula, t represents the movement time of the rectangular material. The formula for calculating the radial coordinates of each discrete point on the intersection line at the middle of the first screw is: If the long side of the cuboid material is parallel to the axis of the first screw, then the radial coordinates of all discrete points are equal, and If the angle between the long side of the cuboid material and the axis of the first screw is α, then In the formula, i = 1, 2, 3, ..., N2, representing the index of each discrete point on the intersection line in the middle, which gradually increases from front to back. The formula for calculating the radial coordinates of each discrete point on the intersection line at the middle of the second screw is: If the long side of the cuboid material is parallel to the axis of the second screw, then the radial coordinates of all discrete points are equal, and If the angle between the long side of the cuboid material and the axis of the second screw is α, then In the formula, i = 1, 2, 3, ..., N2, the index of each discrete point of the intersection line in the middle gradually increases from front to back.

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