A method for determining the uniform spacing of the combing cylinder

Abstract

The present invention relates to the technical field of textile combing, and discloses a method for determining an equal-gauge combing integral cylinder, comprising the following steps: step one, establishing a mechanism model of a nipper plate and its driving mechanism of a cotton spinning combing machine; step two, establishing a coordinate system centered on a nipper plate swing shaft, and constructing a mathematical model of the position coordinates of a point P at the lower edge of the nipper lip of the upper nipper plate; step three, determining the coordinate positions of the needle teeth of different rack cylinders [,]; step four, determining the combing gauge according to the combing timing; step five, determining the compensation distance of different needle rows of the cylinder when the combing gauge is equal. The combing integral cylinder designed and manufactured using the technology of the present invention can ensure that the combing is always performed at an equal gauge during the working process, and the combing effect is maximized, which can significantly reduce the content of neps, defects and short fibers in the combed strip, improve the uniformity of the combed strip, and improve the physical and mechanical properties of the combed yarn such as strength, gloss, and appearance under the same conditions, thereby improving the quality of the combed strip and the yarn.

Description

Technical Field

[0001] The invention relates to the technical field of textile combing, and in particular to a method for determining an equal-gauge combing integral cylinder. Background Art

[0002] The combing process is an important step in improving the spinning quality in cotton spinning engineering. Combed yarn is significantly better than carded yarn in terms of physical mechanical and appearance properties such as strength, evenness, gloss, etc. Figure 1 As shown in the figure, the distance between the cylinder needle teeth and the lower edge of the upper nipper plate during the combing process of the combing machine is called the combing distance e, which is a key process parameter affecting the combing effect. During the combing process, if the combing distance is too large, the amount of fiber sunk between the cylinder needle teeth will decrease, and the removal rate of cotton knots, impurities and short fibers will decrease, that is, the combing quality will deteriorate; if the combing distance is too small, the fiber layer will almost all sink into the cylinder needle teeth, and the combing force between the needle teeth and the fiber will increase, which will easily cause fiber breakage, and easily damage the cylinder needle teeth and the nipper plate, shortening the normal service life of the cylinder. Since the nipper plate mechanism performs a planar compound motion, the traditional combing cylinder needle teeth perform a circular motion, so that the combing distance changes from large to small and then gradually increases during the combing process. Ideally, the combing distance should be reasonable and constant. Therefore, the combing distance between the traditional combing cylinder and the lower edge of the upper nipper plate changes greatly during the combing process, which seriously affects the combing quality.

[0003] At present, most of the cotton combing cylinders are serrated integral cylinders. The structure of the cylinder is that several groups of racks (usually 4, 5 or 6 groups) are covered on a cylinder base with a certain arc surface. The racks and the cylinder base are rigidly connected together by screws. The teeth of the same group of racks are exactly the same, and the number of needle teeth on the teeth is between 4 and 12. The disadvantage that this integral cylinder is prone to in use is that the combing spacing of the combing machine changes irregularly. When fine adjustment is required for local parts, the adjustment of the combing spacing of a single needle tooth cannot be achieved because the teeth of the same group of racks are exactly the same and the spacing of the same group of racks changes synchronously when adjusted. It is impossible to ensure that the combing spacing remains at the same constant value throughout the working cycle, resulting in reduced combing efficiency.

[0004] CN221522901U is an adjustable gauge combing cylinder, wherein an adjustment hole is provided at the end of the cylinder base, a nut insert is fixed in the adjustment hole, and an adjustment screw is threadedly connected with the nut insert. The nut insert is made of the same material as the adjustment screw, which effectively avoids the problem of the base thread being damaged due to different hardness, thereby losing the adjustment function.

[0005] CN218711109U discloses an adjustable integral cylinder for a combing machine. A positioning sleeve is arranged between the arc-shaped base of the cylinder and the cylinder flange, and the top surface of the positioning sleeve is fitted with a support plate arranged on the bottom surface of the adjusting screw sleeve; the diameter of the arc-shaped surface at the bottom of the positioning sleeve is the same as that of the cylinder flange, so that a close and reliable contact between the cylinder and the cylinder flange is achieved, so that the cylinder installation strength is high, the installation is stable and reliable, which is beneficial to improving the stability and reliability of the distance between the cylinder and the nipper plate when the combing machine is running at high speed, thereby improving the stability and consistency of the combing effect of the combing machine.

[0006] CN108660549A discloses a cylinder with adjustable combing distance for an intelligent combing machine, wherein a rack mechanism is stopped along the circumferential direction of a cylinder base and can be moved radially along the cylinder base and positioned on the circumferential outer surface of the cylinder base, and a rack adjustment and positioning device can drive the cylinder rack mechanism to move radially along the cylinder base and fix the cylinder rack mechanism and the cylinder base at any position, and the present invention can also realize the replacement of cylinders with different combing surfaces.

[0007] The application contents of the above-mentioned public patent documents are all about the structure and installation design of the overall cylinder, and do not involve the specific numerical calculation of the combing distance during the working process, nor can they provide the accurate adjustment distance of different needle rows of the cylinder to ensure the consistency of the combing distance. The combing distance needs to be adjusted manually, which is cumbersome and labor-intensive, and requires high skills and experience of the operator, and cannot adjust the combing distance continuously and evenly. There is no public report on the technology and method of reverse designing the combing cylinder based on the accurate calculation of the combing distance in the prior art. Summary of the invention

[0008] The technical problem to be solved by the present invention is to provide a method for determining an equal-gauge combing overall cylinder which can always perform equal-gauge combing during the working process, maximize the combing effect of the combing cylinder, and improve the quality of combed strips and yarns.

[0009] In order to solve the above technical problems, the present invention provides a method for determining an equal-gauge combing integral cylinder, comprising the following steps:

[0010] Step 1: Establish a mechanism model of the nipper plate and its driving mechanism of the cotton spinning combing machine;

[0011] Establish cylinder axis O, clamp plate swing axis O 2 , eccentric shaft O 3 , the hinge point A at the rear swing arm of the nipper and one end of the lower nipper, the hinge point O in the middle of the upper nipper and the lower nipper 1 , the hinge point B between the lower nipper plate and the front swing arm of the nipper plate, the tip point Z of the cylinder needle, the lower edge point P of the upper nipper plate nipper lip, the eccentric axis O 3 The eccentricity of the eccentric wheel fixed on the top is O 3 D; The eccentric wheel is connected to the lifting rod DC, and the lifting rod lifts the upper clamp plate; O2 ABO forms a four-bar linkage; the four-bar linkage drives the upper and lower clamp plates to swing back and forth.

[0012] Step 2: Establish a coordinate system with the pliers plate swing axis as the center, and construct a mathematical model of the position coordinates of the lower edge point P of the upper pliers plate lip:

[0013] x P (t) = l 1 ×cos(f 1 (t))+l 12 ×cos(f 2 (t)-f 12 );

[0014] y P (t) = l 1 ×sin(f 1 (t))+l 12 ×sin(f 2 (t)-f 12 );

[0015] In the model, l 1 For connecting rod O 2 The length of A, f 1 (t) is the connecting rod O at a certain index 2 The angle between A and the positive direction of the X axis, l 12 is the length of the line connecting points A and P. During the combing process, the upper and lower clamps are closed and can be regarded as a rigid body. The relative positions of points A and P are fixed, and the length of the line connecting the two points is constant. 12 is the angle between the AP line and the lower clamp plate AB, f 2 (t) is the angle between the lower clamp AB and the positive direction of the X-axis at a certain index;

[0016] Step 3: Determine the coordinate position of different rack pin teeth of the cylinder [x ij (t), y ij (t)];

[0017] The coordinate position (x) of the tip of the j-th row of pin teeth on the i-th group of combing racks at index t in a working cycle ij ,y ij ) is expressed as follows: ij (t) = x 0 +R C ×cos(α+(i-1)×θ i +(j-1)×θ ij -t×w);

[0018] y ij (t) = y 0 +R C ×sin(α+(i-1)×θ i+(j-1)×θ ij -t×w);

[0019] In the formula, θ i is the central angle of the i-th rack among the m racks on the cylinder, θ ij is the central angle between the jth pinion of the i-th rack and its adjacent pinion, w is the angular velocity of the cylinder, (x 0 ,y 0 ) is the coordinate of cylinder axis O, R C is the turning radius of the needle tooth surface, α is the position angle of the first row of needles in the cylinder;

[0020] Step 4: Determine the combing distance s according to the combing timing ij (t);

[0021]

[0022] Step 5: Determine the compensation distance of different needle rows of the cylinder when the combing distance is equal;

[0023] The difference between the combing distance and the minimum distance is calculated to obtain the radial compensation distance, thereby obtaining an equal-gauge combing integral cylinder.

[0024] The combing cylinder manufactured by the method of the present application can ensure that the combing is always performed at equal intervals during the working process, overcoming the shortcomings that the combing interval needs to be adjusted manually, the operation is cumbersome, the labor intensity is high, the operator's skills and experience are required to be high, and the combing interval cannot be adjusted continuously and evenly. The combing cylinder developed by this method maximizes the combing effect, can significantly reduce the content of neps, defects and short fibers in the combed sliver, improve the uniformity of the combed sliver, improve the physical and mechanical properties of the combed yarn such as strength, gloss, and appearance under the same conditions, and improve the quality of the combed sliver and the finished yarn.

[0025] Preferably, in step 1, the method in which the four-bar linkage drives the upper and lower nippers to swing back and forth is: the nipper swing axis O 2 Through the four-bar linkage O 2 ABO drives the upper and lower nipper plates to swing back and forth, and at the same time, combined with the pulling action of the pulling rod, the upper nipper plate is made to open and close, which is conducive to the formation of the position coordinates of the lower edge point P of the upper nipper plate lip, and is convenient for drawing the corresponding cylinder needle tooth combing spacing curve, so as to realize equal spacing combing during the working process.

[0026] Preferably, in step one, the cylinder makes a circular motion around the cylinder axis O, and cooperates with the lower edge point P of the clamp lip of the upper clamp plate to form a combing distance.

[0027] Preferably, in step three, i=1, 2, ...m, θ is the central angle of the cylinder needle tooth surface.

[0028] Preferably, in step 4, the method for determining the combing timing is: when the lower edge point P of the upper pliers lip, the cylinder needle tip point Z, and the cylinder center point O are located in a straight line, it is determined as the combing timing of the needle row. When these three points are located in a straight line, the combing effect of the combing spacing formed is the most ideal, the removal rate of cotton knots, impurities and short fibers is the highest, the cylinder is not easily damaged, and the service life of the cylinder is greatly improved.

[0029] Preferably, in step 4,

[0030] The combing timing expression of the lower edge point P of the upper clamp lip is: The combing timing expression of the cylinder needle tip point is: When k po (t) = k Zo (t) is the combing timing T of the jth row of teeth of the i-th rack. ij .

[0031] Using k po (t) = k Zo By determining the combing timing of the jth row of teeth on the ith group of racks in the manner of (t), the most reasonable and stable combing spacing between the lower edge point P of the upper clamp lip and the rack needle tip can be found, which is convenient for the development and manufacture of equal-spaced combing cylinders.

[0032] Preferably, in step 5, the compensation distance is determined by: finding the minimum value S of the combing distance according to the combing timing and combing distance of different needle rows of the cylinder. min =min(S ij ), and calculate the difference between the combing distance of a certain needle row and the minimum distance, and get the radial compensation distance of the needle row as L ij =S ij -S min The radial compensation distance is used to make up for the deficiency of the upper nipper motion trajectory mechanism, obtain the precise value of the combing distance, and obtain the radial height of the needle teeth of each needle row of the cylinder, so that the design of the overall cylinder with equal distance can be realized.

[0033] Compared with the prior art, the present invention has the following beneficial effects:

[0034] 1. The combing cylinder designed and manufactured using the technology of the present invention can ensure that the combing is always performed at equal spacing during the working process, overcoming the shortcomings of the manual adjustment of the combing spacing in the above patents, which is cumbersome to operate, labor-intensive, requires high skills and experience of the operator, and cannot continuously and evenly adjust the combing spacing. The combing cylinder developed using this method maximizes the combing effect, significantly reduces the content of neps, defects and short fibers in the combed sliver, improves the uniformity of the combed sliver, improves the physical and mechanical properties of the combed yarn such as strength, gloss, and appearance under the same conditions, and improves the quality of the combed sliver and yarn.

[0035] 2. The nipper swing shaft O of the present invention2 Through the four-bar linkage O 2 ABO drives the nipper plate to swing back and forth, and at the same time, combined with the pulling action of the pulling rod, the upper nipper plate is made to open and close, which is conducive to the formation of the position coordinates of the lower edge point P of the nipper lip of the upper nipper plate, and is convenient for drawing the corresponding cylinder needle tooth combing spacing curve to achieve equal spacing combing during the working process.

[0036] 3. When the lower edge point P of the upper pliers lip, the cylinder needle tip point Z and the cylinder center point O of the present invention are located in a straight line, the combing timing of the needle tip point is determined, and the combing effect of the formed combing distance is most ideal, the removal rate of cotton knots, impurities and short fibers is the highest, the cylinder is not easily damaged, and the service life of the cylinder is greatly improved. BRIEF DESCRIPTION OF THE DRAWINGS

[0037] Figure 1 : Schematic diagram of combing distance.

[0038] Figure 2 : Schematic diagram of the clamp plate swing mechanism.

[0039] Figure 3 : Cylinder needle tooth structure diagram.

[0040] Figure 4 :Schematic diagram of cylinder positioning.

[0041] Figure 5 : Combing spacing curve.

[0042] Figure 6 : Combing distance change curve during the combing stage.

[0043] Figure 7 : Equal spacing combing cylinder diagram.

[0044] Figure number: e-combing distance, 1-nipper rear swing arm, 2-lower nipper, 3-nipper front swing arm, 4-upper nipper, 5-pulling rod, 6-cylinder, 7-separating roller. DETAILED DESCRIPTION

[0045] The present invention is further described in detail below with reference to the accompanying drawings and examples. A method for determining an equal-gauge combing integral cylinder is implemented according to the following steps:

[0046] 1. The nipper plate and its driving mechanism of the cotton spinning combing machine are simplified into a mechanism model that can perform motion calculations

[0047] like Figure 2 As shown, O is the cylinder shaft, O 2 is the nipper swing axis (driven by the cylinder shaft through the rocker mechanism), O 3 The eccentric shaft is driven by the nipper swing shaft through the bridge wheel. 1P is the upper nipper plate 4, AB is the lower nipper plate 2. A is the hinge point between the rear swing arm 1 of the nipper plate and one end of the lower nipper plate AB. 1 is the hinge point of the upper clamp 4 and the middle of the lower clamp plate 2, B is the hinge point of the lower clamp plate 2 and the front swing arm 3 of the clamp plate, Z is the tip of the cylinder needle, and the eccentric distance of the eccentric wheel fixed on the eccentric shaft is O 3 D, eccentric wheel connected to the lifting rod DC, lifting rod 5 lifting the upper clamp plate 4, clamp plate swing axis O 2 The upper nipper plate 4 and the lower nipper plate 2 are driven to swing forward and backward by the four-bar linkage mechanism, and the upper nipper plate 4 is opened and closed by the pulling action of the pulling rod 5, which is conducive to the formation of the position coordinates of the lower edge point P of the upper nipper plate nipper lip, and is convenient for drawing the corresponding cylinder needle tooth combing distance curve to achieve equal distance combing during the working process. The cylinder 6 performs a circular motion around the cylinder axis O axis, and cooperates with the lower edge point P of the upper nipper plate nipper lip to form a combing distance e.

[0048] 2. Establish the pliers plate swing axis O 2 The coordinate system is centered on the mathematical model of the coordinates of the point P at the lower edge of the pliers lip, and the coordinate value of the point P is calculated. Figure 2 The four-bar mechanism O shown 2 In ABO, let the connecting rod O 2 The length of A is l 1 .f 1 (t) is the connecting rod O at a certain index 2 The angle between A and the positive direction of the X axis, l 12 is the length of the line connecting points A and P. During the combing process, the upper clamp plate 4 and the lower clamp plate 2 are closed. The upper clamp plate 4 and the lower clamp plate 2 can be regarded as a rigid body. The relative positions of points A and P are fixed, and the length of the line connecting the two points is constant. 12 is the angle between the line AP and the lower clamp plate 2, f 2 (t) is the angle between the lower clamp plate 2 and the positive direction of the X-axis at a certain indexing, then the mathematical model of the position coordinates of point P is:

[0049] x P (t) = l 1 ×cos(f 1 (t))+l 12 ×cos(f 2 (t)-f 12 )

[0050] y P (t) = l 1 ×sin(f 1 (t))+l 12 ×sin(f 2 (t)-f 12 )

[0051] 3. Coordinate positions of different rack pin teeth of the cylinder [x ij (t), yij (t)] calculation

[0052] like Figure 3 As shown, the center angle of the cylinder needle tooth surface is θ. Assuming that there are m racks on the cylinder 6, the center angle of each rack is (i=1, 2, ...m), the central angle between the jth needle tooth of the i-th rack and its adjacent needle tooth is θ ij Assume that the angular velocity of cylinder 6 is w, and the coordinates of its rotation center O are (x 0 ,y 0 ), the radius of rotation of the pin tooth surface is R C , according to the positioning of cylinder 6 (such as Figure 4 ) determines the position angle α (α = α 1 +α 2 ), α 1 is the angle between the center of the detaching roller 7 and the center of the cylinder axis O and the horizontal line, α 2 is the angle between the line connecting the center of cylinder axis O and the starting point of the first row of cylinder needles and the line connecting the center of detaching roller 7 and the center of cylinder axis O. Then the coordinate position (x) of the tip of the j-th row of needle teeth on the i-th group of combing racks at t indexing in one working cycle is ij ,y ij )for:

[0053] x ij (t) = x 0 +R C ×cos(α+(i-1)×θ i +(j-1)×θ ij -t×w)

[0054] y ij (t) = y 0 +R C ×sin(α+(i-1)×θ i +(j-1)×θ ij -t×w)

[0055] 4. Calculate the carding distance s ij (t)

[0056] During the combing stage of cylinder 6, when the lower edge point P of the upper clamp lip, the cylinder needle tip point Z, and the cylinder center point O are in a straight line, the combing timing of the needle row is reached. The three points P, Z, and O are in a straight line, and the combing effect of the combing distance e formed is the most ideal, with the highest removal rate of cotton neps, impurities and short fibers, and it is not easy to damage cylinder 6, which greatly improves the service life of cylinder 6.

[0057]

[0058]

[0059] When k po (t) = k zo (t) is the combing timing T of the jth row of teeth of the i-th rack. ij , using k po (t) = k zo (t) method is used to determine the combing timing of the jth row of teeth of the i-th group of racks, and the most reasonable and stable combing distance e between the lower edge point P of the upper pliers lip and the tip of the rack needle can be found, which is convenient for the development and manufacture of equal-gauge combing cylinders. At this time, the distance s between the lower edge point P of the upper pliers lip and the tip of the combing needle row ij (t) is:

[0060]

[0061] The variation curve of the combing distance e from the beginning of combing to the end of combing is shown in Figure 5 .

[0062] 5. Calculation of compensation distances for different rows of cylinder needles when achieving equal carding spacing

[0063] like Figure 5 As shown, according to the combing timing and combing distance e of different needle rows of cylinder 6, find the minimum value S of the combing distance e min =min(S ij ), and calculate the difference between the combing distance e of a certain needle row and the minimum distance, and get the radial compensation distance of the needle row as L ij =S ij -S min , thus obtaining an equal-spaced combing cylinder.

[0064] The following is an example of a cotton spinning combing machine with a 90° cylinder combing arc and 5 racks to illustrate the design method of the uniform spacing combing cylinder:

[0065] For a combing machine model, let its coordinate origin be the nipper swing axis O 2 The known parameters of the nipper and its driving mechanism (in mm) are: cylinder axis O coordinate (205, 28.71), eccentric axis O 3 Coordinates (116.3, 258.71), component O 2 The length of A is 82, the length of the lower nipper plate 2 is 187, the length of the connecting rod OB is 74, the lengths of a and b are 205 and 28.71 respectively, the length of the line connecting points A and P is 190.24, and the angle between the AP line and the lower nipper plate 2 is f 12 is 2.27°, and the cotton drop distance is set to 9mm. a is the nipper swing axis O 2 , the horizontal distance between the cylinder axis O, and b is the vertical distance from O to the X-axis.

[0066] The combing cylinder uses a combing surface θ = 90° arc surface, and is divided into m = 5 groups of combing racks. The number of pin teeth in the first group of rack teeth is 4, the number of pin teeth in the second group of rack teeth is 6, the number of pin teeth in the third group of rack teeth is 8, the number of pin teeth in the fourth group of rack teeth is 12, and the number of pin teeth in the fifth group of rack teeth is 12. Then the central angle corresponding to each group of racks is The central angle of the interval between adjacent pin teeth on the first set of racks is The central angle of the interval between adjacent pin teeth on the second set of racks is The central angle of the interval between adjacent pin teeth on the third set of racks is The central angle of the interval between adjacent pin teeth on the fourth set of racks is The central angle of the interval between adjacent pin teeth on the fifth set of racks is The cylinder is positioned at 37 divisions, at which the cylinder 6-head needle position angle α is 76.8°.

[0067] A computer program is compiled based on the mathematical model of steps 1, 2, 3, 4, and 5 of the above invention, and the parameters of the above nipper and its driving mechanism and the parameters of the cylinder 6 are brought into the program to calculate the change curve of the combing distance e in the cylinder combing stage as shown in the following figure: Figure 6 .

[0068] Compare the carding distances e of all needle rows and find the minimum carding distance e: S min =0.4011mm. In order to obtain a uniform and small combing distance e and give full play to the combing efficiency of the cylinder 6, the difference between the combing distance e of a certain needle row and the minimum distance is calculated to obtain the radial compensation height of the needle row: L ij =S ij -S min , to make up for the insufficiency of the motion trajectory of the nipper and its driving mechanism, to obtain the accurate value of the combing distance e, to obtain the radial height of each needle row of the cylinder 6, so that the design of the overall cylinder with equal distance can be realized. The compensation heights of different needle rows are shown in Table 1.

[0069] Table 1 Compensation height of different needle rows

[0070]

[0071]

[0072]

[0073] According to the compensation height, the outer trajectory line of the cylinder combing needle tooth surface is drawn to obtain the uniform spacing combing cylinder, such as Figure 7 To better illustrate the problem, Figure 7The height of the needle teeth compensation is magnified and displayed in proportion (100 times). The combing cylinder designed and manufactured using the method of this application can ensure that the combing is always performed at equal spacing during the working process, overcoming the shortcomings that the combing spacing e needs to be adjusted manually, the operation is cumbersome, the labor intensity is high, the operator's skills and experience are required to be high, and the combing spacing e cannot be adjusted continuously and evenly. The combing cylinder developed using this method maximizes the combing effect, which can significantly reduce the cotton knots, defects and short fibers in the combed strips, improve the uniformity of the combed strips, and improve the physical and mechanical properties of the combed yarn such as strength, gloss, and appearance under the same conditions, thereby improving the quality of the combed strips and yarns.

[0074] Although embodiments of the present invention have been shown and described, it will be appreciated by those skilled in the art that various changes, modifications, substitutions and variations may be made to the embodiments without departing from the principles and spirit of the present invention, and that the scope of the present invention is defined by the appended claims and their equivalents.

Claims

1. A method for determining an equal-gauge combing cylinder, characterized in that: The steps include: Step 1: Establish a mechanism model of the nipper plate and its driving mechanism of the cotton spinning combing machine; Establish the cylinder axis O, the nipper plate swing axis O2, the eccentric axis O3, the hinge point A between the rear swing arm of the nipper plate and one end of the lower nipper plate, the hinge point O1 in the middle of the upper nipper plate and the lower nipper plate, the hinge point B between the lower nipper plate and the front swing arm of the nipper plate, the cylinder needle point Z, the lower edge point P of the nipper lip of the upper nipper plate, and the eccentric distance O3D of the eccentric wheel fixed on the eccentric axis O3; the eccentric wheel is connected to the suspension rod DC, and the suspension rod suspends the upper nipper plate; O2ABO forms a four-bar linkage; the four-bar linkage drives the upper and lower nipper plates to swing back and forth; Step 2: Establish a coordinate system with the pliers plate swing axis as the center, and construct a mathematical model of the position coordinates of the lower edge point P of the upper pliers plate lip: x p (t)=l1×cos(f1(t))+l 12 ×cos(f2(t)-f 12 ); y p (t)=l1×sin(f1(t))+l 12 ×sin(f2(t)-f 12 ); In the model, l1 is the length of the connecting rod O2A, f1(t) is the angle between the connecting rod O2A and the positive direction of the X axis at a certain index, l 12 is the length of the line connecting points A and P. During the combing process, the upper and lower clamps are closed and can be regarded as a rigid body. The relative positions of points A and P are fixed, and the length of the line connecting the two points is constant. 12 is the angle between the AP line and the lower clamp plate AB, and f2(t) is the angle between the lower clamp plate AB and the positive direction of the X axis at a certain index; Step 3: Determine the coordinate position of different rack pin teeth of the cylinder [x ij (t), y ij (t)]; The coordinate position (x) of the tip of the j-th row of pin teeth on the i-th group of combing racks at index t in a working cycle ij ,y ij ) is expressed as follows: x ij (t)=x0+R c ×cos(α+(i-1)×θ i +(j-1)×θ ij -t×w); y ij (t)=y0+R c ×sin(α+(i-1)×θ i +(j-1)×θ ij -t×w); In the formula, θ i is the central angle of the i-th rack among the m racks on the cylinder, θ ij is the central angle between the jth pinion of the i-th rack and its adjacent pinion, w is the angular velocity of the cylinder, (x0, y0) is the coordinate of the cylinder axis O, R C is the turning radius of the needle tooth surface, α is the position angle of the first row of needles in the cylinder; Step 4: Determine the combing distance s according to the combing timing ij (t); ； Step 5: Determine the compensation distance of different needle rows of the cylinder when the combing distance is equal; The difference between the combing distance and the minimum distance is calculated to obtain the radial compensation distance, thereby obtaining an equal-gauge combing integral cylinder.

2. A method for determining an equal-gauge combing cylinder according to claim 1, characterized in that: In the step 1, the method of the four-bar linkage driving the upper and lower nipper plates to swing back and forth is: the nipper plate swing shaft O2 drives the upper and lower nipper plates to swing back and forth through the four-bar linkage O2ABO, and at the same time, the upper nipper plate is made to open and close in combination with the pulling action of the pulling rod.

3. A method for determining an equal-gauge combing cylinder according to claim 2, characterized in that: In the step 1, the cylinder makes a circular motion around the cylinder axis O, and cooperates with the lower edge point P of the upper clamp lip to form a combing distance.

4. A method for determining an equal-gauge combing cylinder according to claim 1, characterized in that: In the step three, i=1, 2, ...m, θ is the central angle of the cylinder needle tooth surface.

5. A method for determining an equal-gauge combing cylinder according to claim 2, characterized in that: In the step 4, the method for determining the combing timing is: when the lower edge point P of the upper clamp lip, the cylinder needle tip point Z, and the cylinder center point O are located in a straight line, it is determined as the combing timing of the needle row.

6. A method for determining an equal-gauge combing cylinder according to claim 1, characterized in that: In the step 4, The combing timing expression of the lower edge point P of the upper clamp lip is: ; The combing timing expression of the cylinder needle tip point is: ; When k po (t) = k Zo (t) is the combing timing T of the jth row of teeth of the i-th rack. ij .

7. A method for determining an equal-gauge combing cylinder according to claim 1, characterized in that: In step 5, the compensation distance is determined by: finding the minimum value S of the combing distance according to the combing timing and combing distance of different needle rows of the cylinder. min =min(S ij ), and calculate the difference between the combing distance of a certain needle row and the minimum distance, and get the radial compensation distance of the needle row as L ij =S ij -S min .

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