A transmission plate and a compression mold based on sine basis functions
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- HONGTA TOBACCO (GROUP) CO LTD
- Filing Date
- 2023-09-11
- Publication Date
- 2026-07-21
Smart Images

Figure CN117125416B_ABST
Abstract
Description
Technical Field
[0001] This invention relates to the technical field of tobacco material conveying plates and their preparation tools, specifically to a conveying plate and pressing mold based on a sinusoidal basis function. Background Technology
[0002] In the tobacco industry, the use of vibrating troughs to transport materials such as tobacco sheets, shredded tobacco, and tobacco stems is the most basic and common process on the re-drying and tobacco processing production lines of tobacco companies. Therefore, this process is the foundation of cigarette raw material production. Regarding material transport, online real-time loosening and uniform distribution of materials for the next process are completed to prevent materials such as shredded tobacco and tobacco sheets from sticking together and clumping, and to reduce material breakage. The sticking and clumping of materials not only affect normal production, but also have a significant impact on the next process, especially for vibrating troughs with particularly high flow rates. For linear flat plates in general vibratory trough conveyors, since flat plates have only a single normal direction and elastic force direction from a mathematical and mechanical perspective, they are often ineffective in solving problems such as material agglomeration, adhesion, uniform distribution, and reducing breakage. Therefore, it is necessary to add certain components for material handling, such as loosening mechanisms, uniform distribution devices, or increase the length of the conveyor line. This is also a common technical problem in real-time material conveying in vibratory troughs in related industries in my country, such as agriculture, mining, and medicine. The goal is to achieve high material loosening and uniform distribution, low material breakage rate, and short conveyor line length. Obviously, only by utilizing spatial curved surfaces can this be achieved. Summary of the Invention
[0003] To address at least one aspect of the aforementioned problems, the present invention provides a transmission plate based on a sinusoidal basis function. The upper surface of the transmission plate is provided with a first transmission surface, which is a curved surface formed by a first generatrix moving along a first trajectory. The first generatrix is a cosine curve in a vertical plane, and the tangents at the crests and troughs of the first generatrix are parallel to the length direction of the transmission plate. The first trajectory is a sine curve in a horizontal plane, and the tangents at the crests and troughs of the first trajectory are parallel to the width direction of the transmission plate.
[0004] Preferably, the wavelength of the first trajectory is equal to the wavelength of the first busbar.
[0005] Preferably, the amplitude of the first trajectory is equal to the amplitude of the first generatrix.
[0006] Preferably, the method further includes a second transmission surface, which is fixedly connected to one end of the first transmission surface. The second transmission surface is a curved surface formed by the movement of a second generatrix along a second trajectory. The second generatrix is a sine curve in a vertical plane. The tangents of the crests and troughs of the second generatrix are parallel to the width direction of the transmission plate. The second trajectory is a straight line and is parallel to the length direction of the transmission plate.
[0007] Preferably, the amplitude of the second busbar is equal to the amplitude of the first busbar, and the wavelength of the second busbar is equal to the wavelength of the first trajectory.
[0008] Preferably, the transmission plate is a panel of uniform thickness, and the thickness of the transmission plate is less than the amplitude of the sine curve of the transmission plate.
[0009] Preferably, the system also includes a protective plate, which includes a side protective plate and an end protective plate. The side protective plates are fixedly disposed on both sides of the transmission plate, and the end protective plates are disposed at one end of the transmission plate.
[0010] On the other hand, a transfer plate pressing mold is provided, wherein the forming surface of the pressing mold is a curved surface formed by a generatrix moving along a trajectory, the generatrix is a cosine curve parallel to a vertical plane, the tangents of the crests and troughs of the generatrix are parallel to the length direction of the pressing mold, the trajectory is a sine curve parallel to a horizontal plane, and the tangents of the crests and troughs of the trajectory are parallel to the width direction of the pressing mold.
[0011] Preferably, the wavelength of the trajectory is equal to the wavelength of the generatrix, and the amplitude of the trajectory is equal to the amplitude of the generatrix.
[0012] The sinusoidal basis function-based transmission plate and pressing mold of this invention have the following beneficial effects: Utilizing the alternating derivatives, normal vectors, and elastic force on the material along the sine and cosine curves, the force on the material is made more "alternating and gentle," and the peaks and troughs on the orthogonal surface have a more "soft yet firm" force, thus minimizing material breakage; the alternating peaks and troughs of the orthogonal surface have high "penetration" to the material, maximizing the loosening force; the sinusoidal peaks and troughs can also utilize the vibrating screen's push and return characteristics to repeatedly loosen and convey some heavier agglomerated materials more than twice, thus achieving high loosening effect and conveying efficiency; the mechanical characteristics of the sinusoidal transverse wave can also evenly distribute the material to the next process; furthermore, this orthogonal conveying architecture is significantly shorter in terms of geometric dimensions and efficiency than planar vibrating trough conveying and single curved conveying; it is also applicable to related fields such as agriculture, mining, construction, and medicine. For example, in agriculture, the transport of food crops can be improved by using orthogonal surfaces, and the geometric length of the vibrating trough can be reduced. In the fields of mining and construction, such as rare earth minerals, non-ferrous metal minerals, and building sand and gravel, the transport of these materials by using orthogonal surfaces can also improve their performance. In the pharmaceutical field, by optimizing the amplitude and angular frequency and using appropriate values, the transport of chemical drugs can be implemented. Attached Figure Description
[0013] To better understand the above and other objects, features, advantages, and functions of the present invention, reference can be made to the embodiments shown in the accompanying drawings. The same reference numerals in the drawings refer to the same parts. Those skilled in the art should understand that the drawings are intended to schematically illustrate preferred embodiments of the invention and are not intended to limit the scope of the invention; the parts in the drawings are not drawn to scale.
[0014] Figure 1 This is a schematic diagram of the first transmission surface of a transmission board based on sinusoidal basis functions according to an embodiment of the present invention.
[0015] Figure 2 This is a schematic diagram of the first busbar and the first trajectory of the first transmission surface of the transmission board based on the sinusoidal basis function according to an embodiment of the present invention;
[0016] Figure 3 This is a schematic diagram of the transmission board based on sinusoidal basis functions according to an embodiment of the present invention;
[0017] Figure 4 This is another structural schematic diagram of a transmission board based on sinusoidal basis functions according to an embodiment of the present invention;
[0018] Figure 5 This is a schematic diagram of the transmission plate pressing mold structure according to an embodiment of the present invention.
[0019] Figure label:
[0020] 1-a1, First transmission surface; 2, Second transmission surface; 4, Side guard plate; 5, End plate; 6, Concave mold; 7, Convex mold. Detailed Implementation
[0021] The exemplary embodiments of this disclosure are described below with reference to the accompanying drawings, including various details of the embodiments to aid understanding, and should be considered merely exemplary. Therefore, those skilled in the art will recognize that various changes and modifications can be made to the embodiments described herein without departing from the scope and spirit of this disclosure. Similarly, for clarity and brevity, descriptions of well-known functions and structures are omitted in the following description.
[0022] The term "comprising" and its variations as used herein signify open inclusion, i.e., "including but not limited to". Unless otherwise stated, the term "or" means "and / or". The term "based on" means "at least partially based on". The terms "one example embodiment" and "one embodiment" mean "at least one example embodiment". The term "another embodiment" means "at least one additional embodiment". The terms "first", "second", etc., may refer to different or the same objects. Other explicit and implicit definitions may also be included below.
[0023] To at least partially solve one or more of the above-mentioned problems and other potential problems, one embodiment of this disclosure proposes a transmission plate based on a sinusoidal basis function. The upper surface of the transmission plate is provided with a first transmission surface, which is a curved surface formed by a first generatrix moving along a first trajectory. The first generatrix is a cosine curve in a vertical plane, and the tangents at the crests and troughs of the first generatrix are parallel to the length direction of the transmission plate. The first trajectory is a sine curve in a horizontal plane, and the tangents at the crests and troughs of the first trajectory are parallel to the width direction of the transmission plate.
[0024] Specifically, such as Figure 1 , Figure 3 , Figure 4 As shown, the length and width directions of the transmission plate are perpendicular to each other, and the first transmission surface is set on the upper surface of the transmission plate. The length direction of the transmission plate is defined as the x-axis, the thickness direction as the y-axis, and the width direction as the z-axis. Then, as... Figure 2 As shown, the curve corresponding to the first generatrix is a cosine curve in the xoy plane, represented as:
[0025] y = b cos(ω²x),
[0026] The first trajectory corresponds to a sine curve in the xoz plane, represented as:
[0027] x = αsin(ω1z),
[0028] The first transmission surface is the curved surface formed in the coordinate system by the first generatrix moving along the first trajectory.
[0029] Furthermore, by introducing the parameter t on the z-axis and the parameter t1 reflecting the change in the y-coordinate value, the parametric equation of the spatial curve surface corresponding to the first transmission surface is as follows:
[0030]
[0031] In the spatial surface established by the above equation, given a parameter t value, there is a cosine curve that varies with parameter t1, and given a parameter t1 value, there is a sine curve that varies with parameter t. They lie on the orthogonal planes that establish the three-dimensional coordinate system. Simplifying the above equation to the standardized form of the spatial surface equation y = f(x,z), we get:
[0032] y=f(x,z)=b cos(ω2x-αω2sin(ω1z)),
[0033] Define the first trajectory x = αsin(ω1z) and the first generatrix y = b cos(ω2x) in the coordinate system. z, y and x have the same number of units and units of measurement. The wavelength of the minimum positive wavelength of x = αsin(ω1z) is λ1 = 2π / ω1, ω1 = 2π / λ1; the wavelength of the minimum positive wavelength of y = bcos(ω2x) is λ2 = 2π / ω2, ω2 = 2π / λ2. The amplitudes α and b can be unequal, and the angular frequencies ω1 and ω2 can also be unequal. For applications with low requirements for loosening force but high requirements for conveying efficiency and fast material movement speed, a frequency reduction design can be adopted. For example, the wavelength λ1 of the sinusoidal basis function x = αsin(ω1z) can be doubled and orthogonal surfaces of the material vibration groove can be constructed using y = b cos(ω2x).
[0034] It should be noted that, since the amplitudes α and ω1 are small enough, the "longitudinal wave" effect of x = αsin(ω1z) is almost non-existent, and the transmission plate corresponding to the constructed spatial surface is equivalent to the "transverse wave" transmission plate constructed by the function y = b cos(ω2x); if the amplitudes b and ω2 are small enough, the cosine curve of y = b cos(ω2x) is approximately equivalent to a straight line, and the transmission plate designed by the constructed spatial surface is equivalent to a planar transmission plate.
[0035] The selection of parameters α, ω1 and b, ω2 are interrelated and specific to different materials and vibrating screens. For the selection of the amplitude b in y = b cos(ω2x), it should match the simple harmonic vibration amplitude of the vibrating trough corresponding to the material being conveyed, with the amplitude b value enabling directional material movement as the basis: selecting an orthogonal surface with an amplitude b greater than 1 results in higher material loosening efficiency, suitable for materials with severe agglomeration such as tobacco shreds and sheets; selecting an orthogonal surface with an amplitude b less than 1 results in faster material conveying efficiency and lower loosening force; generally, an orthogonal surface with an amplitude b equal to 1 is selected. Specifically, regarding the amplitude selection rules for "longitudinal wave" x = αsin(α1z) and "transverse wave" y = b cos(ω2x), based on the characteristics of sine curves or calculus, we have: "On sine and cosine curves with amplitudes greater than 1, there are no two points whose normal vectors are mutually orthogonal": This is one of the theoretical bases for selecting sine and cosine curves with amplitudes greater than or equal to 1 in this technical solution, and it is also one of the mechanical characteristics for using sine and cosine curves to transport materials. Conveyor surfaces designed based on this principle have high material loosening efficiency. "On sine and cosine curves with amplitudes equal to 1, there is a unique orthogonal point between any adjacent peaks and troughs or between troughs and peaks, located at the geometric midpoint between the peaks and troughs of the sine and cosine curves, and the normal vectors at adjacent orthogonal points are mutually orthogonal": Conveyor surfaces designed based on this principle have good material loosening or conveying efficiency. "On a sine or cosine curve with an amplitude equal to or less than 1, there are orthogonal points between the crests and troughs. The normal vectors at any orthogonal points from the crest to the trough are the normal vectors at all points from the trough to the crest that are mutually orthogonal": Obviously, there is more than one orthogonal point here, and the conveyor surface designed with this will have a faster conveying efficiency for materials.
[0036] The above amplitude selection is of little reference value in actual production applications because there is also ω and its value, which reflect the characteristics of the curve. In specific manufacturing and production, as long as the material can cross the peak of the curve surface on the vibrating groove, the basic design requirements have been met.
[0037] Under the condition that the curve length M remains constant, the straight length L of the sine and cosine curve conveyor (conveyor) plate depends only on M and the integral value S of the sine and cosine curve over a wavelength λ, L = 2πM / S. Furthermore, the value represented by one unit affects the wave height and the number of wavelengths contained, i.e., it affects the waveform. A larger value represented by one unit results in fewer wavelengths and a larger wave height, and vice versa. According to line integral theory, if the amplitude is ω = 1, α = 1, λ = 2π = 6.28319, and the integral over the curve length of y = sinx is a wavelength value of 7.641, then the conveyor surface length is 1.358 longer than that of a flat screen, an increase of 21.6%. In other words, replacing the current flat conveyor plate with a sine and cosine curve curved surface screen increases the conveyor length by 21.6%. Clearly, this is a significant improvement compared to the flat conveyor plate, and it doesn't even take into account the mechanical effects of the sine wave or the surface integral of the orthogonal conveyor surface. This analysis only considers a simple sine curve and does not take into account changes in parameters. If the material is severely clumped and has high viscosity, the sine wave effect needs to be enhanced, for example, by increasing the values of ω and α. In this case, the effective conveying length will be far greater than 21.6%. In the design of vibrating trough conveyors, assuming amplitudes of ω = 1, α = 1, and λ = 2π = 6.28319, integrating the length of the y = sinx curve to a wavelength value of 7.641, under the same conveying path dimensions as the sine function parameters and the planar transmission plate, the geometric length of the sine and cosine curved surface transmission plate is shortened to 82.23% of the original, saving 17.77% of geometric space. This analysis still only considers a simple sine curve and does not account for the mechanical effects of the sine wave, surface integral analysis, or changes in the values of ω and α for special applications. If these factors are considered, the savings will be far greater than just 17.77% of the geometric space.
[0038] The above only applies to the transport of a single sinusoidal surface. If orthogonal surface transport is used, its performance will be improved by a level. It can be seen that the transport of a single sine or cosine function is already far superior to that of planar transport, while orthogonal surface transport makes the transport of a single sine or cosine function even more difficult to achieve.
[0039] The mechanical causes of material breakage are mainly the magnitude and significant abrupt changes in elastic force. The abrupt changes in elastic force on orthogonal curved surfaces occur at the crests and troughs. Clearly, a continuously changing crest-trough curve will not produce significant elastic force changes that would cause material breakage. Therefore, if a vibrating trough utilizes orthogonal curved surfaces for conveying, auxiliary functional devices related to loosening, uniform distribution, and flow guidance—factors that can cause material breakage—no longer have any meaning in existing or being used.
[0040] In some embodiments, the wavelength of the first trajectory is equal to the wavelength of the first busbar.
[0041] Specifically, the wavelengths of the first trajectory x = αsin(ω1z) and the first generatrix y = b cos(ω2x) are equal, that is, the values of ω1 and ω2 are equal. Therefore, the wavelengths of the corresponding first trajectory λ1 = 2π / ω1 and the wavelengths of the first generatrix λ2 = 2π / ω2 are equal.
[0042] In some embodiments, the amplitude of the first trajectory is equal to the amplitude of the first generatrix.
[0043] Specifically, the amplitudes of the first trajectory x = αsin(ω1z) and the first generatrix y = b cos(ω2x) are equal, meaning that the values of α and b are equal. For example, ω1 = 1, λ1 = 2π, ω2 = 1, λ2 = 2π, etc. ω1z and ω2x can be converted using wavelengths λ1 and λ2, and are expressed in radians.
[0044] Furthermore, if we define x = αsin(ω1z) as a "longitudinal wave" and y = b cos(ω2x) as a "transverse wave," then after the "longitudinal wave" and "transverse wave" are superimposed (or orthogonal), the amplitudes α and ω1 of x = αsin(ω1z) affect the characteristics of the transmission plate designed to construct the spatial curved surface. Larger amplitudes α and ω1 provide better "penetration" to materials, but may prevent the construction of a continuous spatial curved surface or make mechanical manufacturing difficult. Smaller amplitudes α and ω1 may reduce the loose conveying performance of the superimposed (orthogonal) spatial curved surface. In specific engineering applications, the magnitude of α affects the waveform of the "longitudinal wave." After the "longitudinal wave" and "transverse wave" are superimposed (or orthogonal), the curvature changes significantly, especially where α reaches its extreme value. Larger values of α are difficult to manufacture, and using a = b can adapt to the loose conveying of many materials.
[0045] Furthermore, when the amplitudes α and ω1 are small enough, the "longitudinal wave" effect of x = αsin(ω1z) is almost non-existent, and the transmission plate designed by the constructed spatial surface is equivalent to the "transverse wave" transmission plate constructed by the function y = b cos(ω2x); if the amplitudes b and ω2 are small enough, the cosine curve of y = b cos(ω2x) is approximately equivalent to a straight line, and the transmission plate designed by the constructed spatial surface is equivalent to a planar transmission plate.
[0046] In some embodiments, the cosine function curve y = b cos(ω2x) corresponding to the first generatrix and the sine function curve x = αsin(ω1z) corresponding to the first trajectory, where ω1 = 1, λ1 = 2π, α = 1, ω2 = 1, λ2 = 2π, b = 1, then the first generatrix y = cos(x) and the first trajectory x = sin(z). The curve integral length of one wavelength is S = 7.641; a value Δt = 5mm is suitable for conveying broken tobacco materials in a broken tobacco conveyor, and Δt = 10~20mm is suitable for conveying large quantities of finished tobacco shreds or sheet tobacco, etc.
[0047] Furthermore, the wave height of the sine and cosine curves is 10 mm; the wavelengths are both λ = 6.28319 × 5 = 31.416 mm, and the length of the sine and cosine curves with one wavelength λ is S'2 = 7.641 * 5 = 38.205 mm.
[0048] If the width of the transmission board is 16 wavelengths, then B = 502.656 mm. The length of the transmission board is 28 wavelengths, which is 879.645 mm. With rounded ends, L = 853.87 mm. Therefore, the curve integral length in the width direction of the transmission board is: M1 = B × S / 2π = 611.300 mm, and the curve integral length in the length direction of the transmission board is: M2 = L × S / 2π = 1037.395 mm.
[0049] It is obvious that the area of the orthogonal transport surface has been significantly increased. However, the exact amount of increase can be calculated by using the surface integral of the spatial surface y = f(x,z) and then comparing it with the area of the corresponding planar transport plate.
[0050] In some embodiments, a second transmission surface is further included. The second transmission surface is fixedly connected to one end of the first transmission surface. The second transmission surface is a curved surface formed by the movement of the second generatrix along the second trajectory. The second generatrix is a sine curve in a vertical plane. The tangents of the crests and troughs of the second generatrix are parallel to the width direction of the transmission plate. The second trajectory is a straight line and is parallel to the length direction of the transmission plate.
[0051] Specifically, one end face of the first transmission surface is cleaved into a sinusoidal curve surface, and the second transmission surface is disposed on the upper surface of the transmission plate. The second generatrix of the second transmission surface corresponds to a sinusoidal function curve in the yoz plane.
[0052] y = csin(ω3z),
[0053] The curve corresponding to the second trajectory of the second transmission surface is a straight line in the xoy plane:
[0054] x = d,
[0055] Where c, ω3, and d are preset values set according to actual transmission requirements.
[0056] In some embodiments, the amplitude of the second busbar is equal to the amplitude of the first busbar, and the wavelength of the second busbar is equal to the wavelength of the first trajectory.
[0057] Specifically, such as Figure 4 As shown, the sine function curve corresponding to the second generatrix is y = csin(ω3z), and the cosine function curve corresponding to the first generatrix is y = b cos(ω2x), where the value of c is equal to the value of b. The sine function curve corresponding to the first trajectory is x = ωsin(ω1z), where the value of ω3 is equal to the value of ω1.
[0058] In some embodiments, the transmission plate uses a panel of uniform thickness, and the thickness of the transmission plate is less than the amplitude of the sine curve of the transmission plate.
[0059] Specifically, such as Figure 3 and Figure 4 As shown, the transmission plate is a thin plate of equal thickness, that is, the lower surface of the transmission plate and the upper surface of the transmission plate have the same surface equation, or in other words, the surface equation corresponding to the lower surface of the transmission plate is the surface formed by translating the surface equations of the first transmission surface and the second transmission surface downward in the y-axis direction by a distance corresponding to the thickness of the transmission plate.
[0060] In another embodiment, the lower surface of the transmission plate is flat, and the distance from the crest of the first conveying surface of the transmission plate to the lower surface of the transmission plate is greater than twice the amplitude of the first busbar.
[0061] In some embodiments, the system further includes a protective plate, which includes a side protective plate and an end protective plate. The side protective plates are fixedly disposed on both sides of the transmission plate, and the end protective plates are disposed at one end of the transmission plate.
[0062] Specifically, such as Figure 3 and Figure 4 As shown, the guard plate includes two side guard plates 4 and one end guard plate 5. The side guard plates 4 are fixedly installed on both sides of the transmission plate in opposite directions of its length. The two ends of the end guard plate 5 are fixedly connected to one end of the two side guard plates 4 respectively. The height of the guard plate and the end plate is at least higher than the crest of the first conveying surface 1-a1 and the second conveying surface 2.
[0063] On the other hand, a transfer plate pressing mold is provided. The forming surface of the pressing mold is a curved surface formed by the movement of a generatrix along a trajectory. The generatrix is a cosine curve parallel to a vertical plane. The tangents of the peaks and troughs of the generatrix are parallel to the length direction of the pressing mold. The trajectory is a sine curve parallel to a horizontal plane. The tangents of the peaks and troughs of the trajectory are parallel to the width direction of the pressing mold.
[0064] Specifically, such as Figure 5 As shown, the conveyor plate pressing mold includes a punch 7 and a die 6. The material to be molded is placed between the punch 7 and the die 6, and the conveyor plate is manufactured by extrusion molding between the punch 7 and the die 6. The upper surface of the punch 7 has a lower forming surface, and the lower surface of the die 6 has an upper forming surface. The lower forming surface and the upper forming surface cooperate to form the first conveying surface and its lower surface of the conveyor plate as described above.
[0065] like Figure 1 As shown, the length and width directions of the pressing die are perpendicular to each other, and the lower forming surface is on the upper surface of the punch 7. Let the length direction of the punch 7 be the x-axis, the thickness direction be the y-axis, and the width direction be the z-axis. Then, the generatrix corresponds to a cosine curve in the xoy plane, expressed as:
[0066] y = b cos(ω²x),
[0067] The trajectory corresponds to a sine curve in the xoz plane, represented as:
[0068] x = αsin(ω1z),
[0069] The lower forming surface is the curved surface formed in the coordinate system by the generatrix moving along the trajectory.
[0070] Furthermore, by introducing the parameter t on the z-axis and the parameter t1 reflecting the change in the y-coordinate value, the parametric equation of the spatial curve surface corresponding to the lower forming surface is as follows:
[0071]
[0072] In the spatial surface established by the above equation, given a parameter t value, there is a cosine curve that varies with parameter t1, and given a parameter t1 value, there is a sine curve that varies with parameter t. They lie on the orthogonal planes that establish the three-dimensional coordinate system. Simplifying the above equation to the standardized form of the spatial surface equation y = f(x,z), we get:
[0073] y=f(x,z)=b cos(ω2x-αω2sin(ω1z)),
[0074] Among them, the amplitudes α and b can be unequal, and the angular frequencies ω1 and ω2 can also be unequal. For materials with low loosening force requirements but high conveying efficiency and fast material movement speed requirements, a frequency reduction design can be adopted, such as expanding the wavelength λ1 of the sinusoidal basis function x=αsin(ω1z) by 1 and constructing the orthogonal surface of the material vibration groove with y=b cos(ω2x).
[0075] The concave mold 6 is set above the convex mold 7 at a preset distance. The preset distance is equal to the thickness of the transfer plate. Then, the surface equation of the upper forming surface of the concave mold in the coordinate system is the surface obtained by translating the lower forming surface along the thickness direction by a preset distance.
[0076] The conveying surface of a typical vibrating screen is made of thin parts, with a thickness of a few millimeters. If the thin parts are to be manufactured, the mold design and manufacturing of the aforementioned convex and concave dies can be used. The length and width of the pressing mold can be designed according to an integer multiple of the wavelength, and finally assembled into the vibrating groove of the vibrating screen.
[0077] In some embodiments, the wavelength of the trajectory is equal to the wavelength of the busbar, and the amplitude of the trajectory is equal to the amplitude of the busbar.
[0078] Specifically, the trajectory corresponds to the sine curve x = αsin(ω1z), the generatrix corresponds to the cosine curve y = b cos(ω2x), the wavelength of the trajectory λ1 = 2π / ω1 is equal to the wavelength of the generatrix λ2 = 2π / ω2, that is, ω1 and ω2 are equal, and the amplitude α of the trajectory is equal to the amplitude b of the generatrix.
[0079] The various embodiments of this disclosure have been described above. These descriptions are exemplary and not exhaustive, nor are they limited to the disclosed embodiments. Many modifications and variations will be apparent to those skilled in the art without departing from the scope and spirit of the described embodiments. The terminology used herein is chosen to best explain the principles, practical application, or technical improvements to the embodiments in the market, or to enable others skilled in the art to understand this document.
Claims
1. A transmission board based on sinusoidal basis functions, characterized in that, The upper surface of the transmission plate is provided with a first transmission surface, which is a curved surface formed by the movement of a first generatrix along a first trajectory. The first generatrix is a cosine curve in a vertical plane, and the tangents at the crests and troughs of the first generatrix are parallel to the length direction of the transmission plate. The first trajectory is a sine curve in a horizontal plane, and the tangents at the crests and troughs of the first trajectory are parallel to the width direction of the transmission plate. The wavelength of the first trajectory is equal to the wavelength of the first generatrix, and the amplitude of the first trajectory is equal to the amplitude of the first generatrix.
2. The transmission board according to claim 1, characterized in that, It also includes a second transmission surface, which is fixedly connected to one end of the first transmission surface. The second transmission surface is a curved surface formed by the movement of a second generatrix along a second trajectory. The second generatrix is a sine curve in a vertical plane. The tangents of the crests and troughs of the second generatrix are parallel to the width direction of the transmission plate. The second trajectory is a straight line and is parallel to the length direction of the transmission plate.
3. The transmission board according to claim 2, characterized in that, The amplitude of the second busbar is equal to the amplitude of the first busbar, and the wavelength of the second busbar is equal to the wavelength of the first trajectory.
4. The transmission board according to claim 3, characterized in that, The transmission plate uses a panel of uniform thickness, and the thickness of the transmission plate is less than the amplitude of the sine curve of the transmission plate.
5. The transmission board according to claim 1, characterized in that, It also includes protective plates, which include side protective plates and end protective plates. The side protective plates are fixedly disposed on both sides of the transmission plate, and the end protective plates are disposed at one end of the transmission plate.
6. A transfer plate pressing mold, characterized in that, The forming surface of the pressing mold is a curved surface formed by the movement of a generatrix along a trajectory. The generatrix is a cosine curve parallel to a vertical plane, and the tangents of the crests and troughs of the generatrix are parallel to the length direction of the pressing mold. The trajectory is a sine curve parallel to a horizontal plane, and the tangents of the crests and troughs of the trajectory are parallel to the width direction of the pressing mold. The wavelength of the trajectory is equal to the wavelength of the generatrix, and the amplitude of the trajectory is equal to the amplitude of the generatrix.