A parabola-based thermal grinding mill grinding disc and its design method

Abstract

The invention discloses a parabola-based hot grinder grinding disc and a design method thereof. The tooth edge profile of the hot grinder grinding disc is a parabola. Assuming that the parabola parameter equation is y, y=A·x 2 ; The origin of the parabola is defined as the center O of the hot mill grinding disc; the intersection of any point on the parabola and the straight line where the hot mill grinding disc radius is located is defined as point P; the parabola segment P1P2 is the grinding tooth profile of the hot mill grinding disc; the parabola segment P1P2 is formed into a circular array to obtain the hot mill grinding disc structure. The present invention designs the tooth edge profile into a parabolic function expression in a rectangular coordinate system, which is easy to process and easy to use mathematical methods to analyze the force condition of any point on the tooth edge, which can improve the fiber separation quality and reduce energy consumption.

Description

Technical Field

[0001] The invention relates to the field of fiberboard manufacturing, and in particular to a parabola-based hot grinder grinding plate and a design method thereof. Background Art

[0002] my country is a major producer of fiberboard. The raw material for fiberboard production is wood fiber, which is produced by dissociating wood chips through a hot mill. During dissociation, the tooth profile of the hot mill directly affects the dissociation effect and energy consumption. The cutting method used for wood fiber dissociation is sliding cutting, that is, there is a certain angle between the cutting speed and the cutting force (i.e., the sliding cutting angle), which can reduce energy consumption.

[0003] The actual situation is that when wood fibers are dissociated, as the dissociation radius increases, the dissociation rate increases, the required dissociation force decreases, and the required sliding angle should increase. However, the current documents on straight-toothed hot mill grinding discs rarely consider this situation. For example, the patent documents with patent application numbers CN201210437023 and CN201910891957.2 divide the hot mill grinding disc into crushing area, coarse grinding area, fine grinding area and other areas, and set the parameters of each area according to the hot mill raw materials, which can only improve the dissociation quality to a certain extent.

[0004] At present, the relevant documents on curved tooth blade hot grinder grinding discs have taken this situation into consideration. For example, the patent documents with patent application numbers CN202410120981.7, CN202410053749.6, CN202311750390.X, CN202410326683.3, and CN202410204016.8 respectively use methods such as Cartesian blade lines, Archimedean spirals, cycloids, parabolas, and heart curves to design the tooth blade profiles, achieving the purpose of matching the gradually increasing sliding angle with the gradually increasing cutting rate, and matching the gradually increasing sliding angle with the gradually decreasing cutting force. However, the tooth blade profile curves obtained from these documents involving curved tooth blades are all expressed in polar coordinates, which are not intuitive and cause certain difficulties in design and manufacturing. Summary of the invention

[0005] Based on the advantages and problems of the curved tooth edge of the hot grinder grinding wheel mentioned above, a method of rectangular coordinate system function is needed to design the curved tooth edge hot grinder grinding wheel.

[0006] In view of the above-mentioned shortcomings of the prior art, the present invention proposes a parabola-based hot mill grinding disc and a design method thereof. The hot mill grinding disc provided by the method has a sliding angle that gradually increases with the radius, which meets the actual needs, and the tooth profile curve is intuitive and simple to express, which is convenient for design.

[0007] To achieve the above effects, the technical solution of the present invention is as follows:

[0008] The present invention provides a parabola-based hot grinder grinding disc, wherein the tooth edge profile of the hot grinder grinding disc is a parabola, and the parabolic parameter equation is y:

[0009] y=A·x 2 , A∈[0.000429,0.001082], x∈[x 1 ,x 2 ], x 2 ∈[654,1087]

[0010] In the formula, A is a constant used to control the shape of the parabola; x represents the horizontal coordinate of any point on the parabola;

[0011] The origin of the parabola is defined as the center O of the grinding disc of the thermal mill; the intersection of any point on the parabola and the straight line where the radius of the grinding disc of the thermal mill is located is defined as point P;

[0012] The intersection of the parabola and the inner radius of the grinding disc of the hot grinder is defined as the starting point of the grinding gear P. 1 , whose coordinates are (x 1 ,y 1 );

[0013] The intersection of the parabola and the outer diameter of the grinding disc of the hot grinder is defined as the grinding end point P. 2 , whose coordinates are (x 2 ,y 2 );

[0014] Parabola segment P 1 P 2 This is the grinding tooth profile of the grinding disc of the hot grinder; the parabola segment P 1 P 2 A circular array is formed to obtain a hot mill grinding plate structure.

[0015] Furthermore, the angle of the parabola starting point is expressed as t 1 The turning angle of the parabola’s endpoint is represented by t 2 Indicates that the rotation angle t satisfies t∈(t 1 , t 2 ); wherein the turning angle t of the parabola termination point 2 ∈[25°,35.2°].

[0016] A method for designing a grinding disc for a heat refiner based on a parabola is applied to a grinding disc for a heat refiner based on a parabola. The method comprises the following steps:

[0017] Step 1: Set the inner radius of the grinding disc of the hot grinder to R 1 , the outer radius is R 2 ; Set R 2 The range is 800~1200mm;

[0018] The inner radius R 1 for:

[0019] R 1 =C 1 ·R 2 (1)

[0020] The C 1 represents the coefficient, ranging from 0.4 to 0.55; then R 1 The range is 320~660mm;

[0021] Step 2: Set the tooth edge profile of the hot mill grinding disc to a parabola, and define the origin of the parabola as the center O of the hot mill grinding disc;

[0022] 1) The intersection of any point on the parabola and the straight line where the radius of the grinding disc of the thermal grinding machine lies is defined as point P;

[0023] 2) Define the starting point: The intersection of the parabola and the inner radius of the grinding disc of the hot grinder is defined as the grinding starting point P1, whose coordinates are (x 1 ,y 1 );

[0024] 3) Define the end point: The intersection of the parabola and the outer diameter of the grinding disc of the hot grinder is defined as the grinding end point P2, and its coordinates are (x 2 ,y 2 );

[0025] 4) Define the slip angle at any point on the parabola: The angle between the straight line where the rotation radius is located at any point on the parabola and the tangent at any point on the parabola is defined as the slip angle, denoted by α; the slip angle represents the angle between the cutting speed and the cutting force at any point on the parabola; the slip angle at the starting point of the parabola is denoted by α 1 Indicates that the sliding angle of the parabola endpoint is α 2 Indicates that, define α 2 The range is 18° to 19.5°;

[0026] 5) Define the rotation angle of any point on the parabola: Define the angle between the straight line where the rotation radius of any point on the parabola is and the x-axis as t, and use t to represent the rotation angle of the starting point of the parabola. 1 Indicates that the turning angle of the parabola endpoint is t 2 express;

[0027] Step 3: Define the equation of the parabola:

[0028] Let the parametric equation of the parabola be y:

[0029] y=A·x 2 , A∈[0.000429,0.001082], x∈[x1 ,x 2 ], x 2 ∈[654,1087]

[0030] In the formula, A is a constant used to control the shape of the parabola; x represents the horizontal coordinate of any point on the parabola.

[0031] Furthermore, step 3 specifically includes:

[0032] Step 3.1: Let the parametric equation of the parabola be y:

[0033] y=A·x 2 , (x>0) (2)

[0034] In the formula, A is a constant used to control the shape of the parabola; x represents the independent variable;

[0035] Step 3.2: Find the range of the angle t that increases with the parabola sliding angle α:

[0036] Find the derivative of y with respect to x. The derivative of y with respect to x is equal to the slope of the tangent corresponding to the angle t on the parabola, as shown in formula (3):

[0037]

[0038] From formula (2), we get:

[0039] 2Ax=tan(α+t) (4)

[0040] And because:

[0041] y=x·tan(t) (5)

[0042] Substituting formula (2) into formula (5), we get:

[0043] Ax=tan(t) (6)

[0044] Combining equations (3), (4) and (6), we get:

[0045]

[0046] Simplifying the above equation, we can get equation (8) or equation (9):

[0047]

[0048] Let Ax = P, then equation (9) is simplified to:

[0049]

[0050] Select the curve part where the sliding angle α increases with the rotation angle t, and let:

[0051]

[0052] The solution is:

[0053]

[0054] Right now:

[0055]

[0056] that is:

[0057]

[0058] The solution is the rotation angle t:

[0059] t≤35.3° (15)

[0060] Substituting formula (15) into formula (8), we get the slip angle α≤19.5°. This slip angle range is within the definition, indicating that the rotation angle range is designed correctly.

[0061] Step 3.3: Find the coordinates P of the parabola's end point 2 The horizontal coordinate x 2 Values ​​and A values ​​of parabolic equations;

[0062] Because the sliding angle α at the end point of the parabola 2 ∈[18°, 19.5°];

[0063] The sliding angle α of the parabola end point 2 Substituting the value of into formula (8), we can get the rotation angle t of the parabola end point. 2 ∈[25°,35.2°];

[0064] Because x 2 =R 2 cos(t 2 )(16)

[0065] Because R 2 ∈[800,1200];

[0066] So x 2 ∈[654,1087];

[0067] From formula (6), we get:

[0068]

[0069] Get A∈[0.000429,0.001078];

[0070] Therefore, the equation of the parabola is:

[0071] y=A·x 2, A∈[0.000429,0.001082], x∈[x 1 ,x 2 ],x 2 ∈[654,1087]

[0072] In the formula, A is a constant used to control the shape of the parabola; x represents the horizontal coordinate of any point on the parabola.

[0073] Furthermore, step 3 also includes:

[0074] Step 3.4: Find the coordinate x of the starting point of the parabola 1 :

[0075]

[0076] The A value and R 1 Substitute the value of into equation (18) and solve for x 1 value;

[0077] Step 3.5: Verify the rotation angle t of the parabola starting point 1 and the sliding angle α 1 ;

[0078] The rotation angle t is obtained from formula (6): 1 :

[0079] t 1 =tan -1 (Ax 1 ) (19)

[0080] The A value and x 1 Substitute the value into formula (19) to obtain the rotation angle t of the starting point of the parabola 1 ;

[0081] From formula (9), we can get:

[0082]

[0083] Ax 1 Substituting into formula (20), we get the sliding angle α 1 value.

[0084] Furthermore, the tooth grinding starting point P 1 and the grinding end point P 2 The parabola segment P formed 1 P 2 The grinding tooth profile of the grinding disc of the hot grinder is 1 P 2 Circular array to obtain a complete hot mill grinding plate.

[0085] Compared with the prior art, the technical solution of the present invention has the following beneficial effects:

[0086] (1) The present invention provides a method for designing a hot grinder grinding disc based on a parabola, in which the tooth edge profile is designed as a parabolic function expression in a rectangular coordinate system, which is convenient for processing and for analyzing the force conditions at any point on the tooth edge using mathematical methods.

[0087] (2) With the increase of the turning angle, that is, the increase of the rotation radius, the sliding angle gradually increases, which matches the increasing dissociation rate and the decreasing dissociation force requirement, which can improve the fiber separation quality, reduce energy consumption, and improve efficiency. BRIEF DESCRIPTION OF THE DRAWINGS

[0088] Figure 1 Schematic diagram of a parabola of a grinding disc of a hot grinding machine of the present invention;

[0089] Figure 2 The invention discloses a parabola-based thermal grinding mill grinding disc tooth structure, wherein the tooth edge profile is a parabola schematic diagram. DETAILED DESCRIPTION

[0090] The following will describe the embodiments of the present invention with reference to the accompanying drawings and preferred embodiments. Those skilled in the art can easily understand other advantages and effects of the present invention from the contents disclosed in this specification. The present invention can also be implemented or applied through other different specific embodiments, and the details in this specification can also be modified or changed in various ways based on different viewpoints and applications without departing from the spirit of the present invention. It should be understood that the preferred embodiments are only for illustrating the present invention, not for limiting the scope of protection of the present invention.

[0091] It should be noted that the illustrations provided in the following embodiments are only schematic illustrations of the basic concept of the present invention, and thus the drawings only show components related to the present invention rather than being drawn according to the number, shape and size of components in actual implementation. In actual implementation, the type, quantity and proportion of each component may be changed arbitrarily, and the component layout may also be more complicated.

[0092] Embodiment a:

[0093] This embodiment proposes a parabola-based thermal grinding machine grinding plate. Figure 1 and Figure 2 , Figure 1 Interpretation of the parameters: O——the center of the grinding disc of the hot grinding machine, the origin of the curve; R 1 ——Inner radius of grinding disc of thermal grinding machine; R 2 ——Outer radius of grinding disc of hot grinder; P——Any point; 1——Rotation direction of hot grinder; P 1 ——Grinding starting point; P 2 ——Gear grinding end point; α 1 ——slip angle at the starting point of tooth grinding; α 2——slip angle at the grinding end point; t 1 ——Gear grinding starting point rotation angle; t 2 ——Grinding end point rotation angle; P 1 P 2 ——Parabola segment, i.e. the profile of the grinding tooth edge. Figure 2 The tooth structure of the heat grinder blade is based on a parabola, and the tooth edge profile is a parabola; there are 6 parabolic heat grinder blades in total. Figure 2 Draw 2 pieces in the middle.

[0094] The tooth edge profile of the hot grinder grinding disc is a parabola, and the parabolic parameter equation is y:

[0095] y=A·x 2 , A∈[0.000429,0.001082], x∈[x 1 ,x 2 ]

[0096] In this embodiment, x is set 1 =304,x 2 =654;

[0097] In the formula, A is a constant used to control the shape of the parabola (representing any non-zero real number); x represents the independent variable, that is, the horizontal coordinate of any point on the parabola;

[0098] The origin of the parabola is defined as the center O of the grinding disc of the thermal mill; the intersection of any point on the parabola and the straight line where the radius of the grinding disc of the thermal mill is located is defined as point P;

[0099] The intersection of the parabola and the inner radius of the grinding disc of the hot grinder is defined as the starting point of the grinding gear P1, and its coordinates are (x 1 ,y 1 );

[0100] The intersection of the parabola and the outer diameter of the grinding disc of the hot grinder is defined as the grinding end point P2, and its coordinates are (x 2 ,y 2 );

[0101] Parabola segment P 1 P 2 This is the grinding tooth profile of the grinding disc of the hot grinder; the parabola segment P 1 P 2 A circular array is formed to obtain a hot mill grinding plate structure.

[0102] As a preferred technical solution, in this embodiment, the angle of the parabola starting point is t 1 The turning angle of the parabola’s endpoint is represented by t 2 Indicates that the rotation angle t satisfies t∈(t 1 , t 2); wherein the turning angle t of the parabola termination point 2 ∈[25°,35.2°].

[0103] This embodiment also provides a method for designing a grinding plate of a thermal grinder based on a parabola, and the design method comprises the following steps:

[0104] Step 1: Set the inner radius of the grinding disc of the hot grinder to R 1 , the outer radius is R 2 ; Set R 2 The value is 800mm;

[0105] The inner radius R 1 for:

[0106] R 1 =C 1 ·R 2 (1)

[0107] The C 1 Take 0.4~0.55; then R 1 Take 320mm;

[0108] Step 2: Set the tooth edge profile of the hot mill grinding disc to a parabola, and define the origin of the parabola as the center O of the hot mill grinding disc;

[0109] 1) The intersection of any point on the parabola and the straight line where the radius of the grinding disc of the thermal grinding machine lies is defined as point P;

[0110] 2) Define the starting point: The intersection of the parabola and the inner radius of the grinding disc of the hot grinder is defined as the grinding starting point P1, whose coordinates are (x 1 ,y 1 );

[0111] 3) Define the end point: The intersection of the parabola and the outer diameter of the grinding disc of the hot grinder is defined as the grinding end point P2, and its coordinates are (x 2 ,y 2 );

[0112] 4) Define the sliding angle at any point of the parabola: the angle between the cutting speed and the cutting force at that point. Figure 1 It is the angle between the straight line where the rotation radius is located at that point and the tangent line at that point, represented by α. The sliding angle at the starting point of the parabola is represented by α 1 The sliding angle of the parabola terminal point is represented by α 2 Indicates that α 2 The value is 19.5°;

[0113] 5) Define the rotation angle of any point on the parabola: Define the angle between the straight line where the rotation radius of any point on the parabola is and the x-axis as t, and use t to represent the rotation angle of the starting point of the parabola. 1Indicates that the turning angle of the parabola endpoint is t 2 express;

[0114] Step 3: Define the equation of the parabola:

[0115] Let the parametric equation of the parabola be y:

[0116] y=A·x 2 ,A=0.001078,x∈[x 1 ,x 2 ], x 1 =304,x 2 =654

[0117] In the formula, A is a constant used to control the shape of the parabola (representing any non-zero real number); x represents the independent variable, that is, the horizontal coordinate of any point on the parabola.

[0118] As a preferred technical solution, in this embodiment, step 3 specifically includes:

[0119] Step 3.1: Let the parametric equation of the parabola be y:

[0120] y=A·x 2 , (x>0) (2)

[0121] In the formula, A is a constant used to control the shape of the parabola (representing any non-zero real number); x represents the independent variable;

[0122] Step 3.2: Find the range of the angle t that increases with the parabola sliding angle α:

[0123] Find the derivative of y with respect to x. The derivative of y with respect to x is equal to the slope of the tangent corresponding to the angle t on the parabola, as shown in formula (3):

[0124]

[0125] From formula (2), we get:

[0126] 2Ax=tan(α+t) (4)

[0127] And because:

[0128] y=x·tan(t) (5)

[0129] Substituting formula (2) into formula (5), we get:

[0130] Ax=tan(t) (6)

[0131] Combining equations (3), (4) and (6), we get:

[0132]

[0133] Simplifying the above equation, we can get equation (8) or equation (9):

[0134]

[0135] Let Ax = P, then equation (9) is simplified to:

[0136]

[0137] Select the curve part where the sliding angle α increases with the rotation angle t, and let:

[0138]

[0139] The solution is:

[0140]

[0141] It can be seen from formula (12) that with the increase of the turning angle, that is, the increase of the rotation radius, the slip angle gradually increases, which matches the gradually increasing dissociation rate and the gradually decreasing dissociation force requirements, which can improve the fiber separation quality, reduce energy consumption, and improve efficiency.

[0142] Right now:

[0143]

[0144] that is:

[0145]

[0146] The solution is the rotation angle t:

[0147] t≤35.3° (15)

[0148] Substituting formula (15) into formula (8), we get the slip angle α≤19.5°. This slip angle α is within a reasonable range, indicating that the rotation angle range is designed correctly.

[0149] Step 3.3: Find the coordinates P of the parabola's end point 2 The horizontal coordinate x 2 Values ​​and A values ​​of parabolic equations;

[0150] Because the sliding angle α at the end point of the parabola 2 =19.5°;

[0151] The sliding angle α of the parabola end point 2 Substituting the value of into formula (8), we can get the rotation angle t of the parabola end point. 2 =32.5°;

[0152] Because x 2 =R 2 cos(t 2)(16)

[0153] Because R 2 =800mm;

[0154] So x 2 =800.cos(35.2)=654mm;

[0155] From formula (6), we get:

[0156]

[0157] A = 0.001078;

[0158] Therefore, the equation of the parabola is:

[0159] y=A·x 2 , A=0.001078,x∈[x 1 ,x 2 ], x 2 =654

[0160] In the formula, A is a constant used to control the shape of the parabola (representing any non-zero real number); x represents the independent variable, that is, the horizontal coordinate of any point on the parabola.

[0161] As a preferred technical solution, in this embodiment, step 3 also includes:

[0162] Step 3.4: Find the coordinate x of the starting point of the parabola 1 :

[0163]

[0164] Set A value to 0.001078 and R 1 Substitute the value 320 into equation (18) and solve for x 1 Value, x 1 =304;

[0165] Step 3.5: Verify the parabola starting point (P 1 )'s turning angle t 1 and the sliding angle α 1 ;

[0166] The rotation angle t is obtained from formula (6): 1 :

[0167] t 1 =tan -1 (Ax 1 ) (19)

[0168] The solved value of A is 0.001078, x 1 Substituting the value 304 into equation (19), we can get t 1The value is 18.1°.

[0169] From formula (9), we can get:

[0170]

[0171] The calculated Ax 1 Substituting into formula (20), we can get the sliding angle α 1 It is 15.1°.

[0172] As a preferred technical solution, in this embodiment, the parabola segment P formed by the tooth grinding starting point P1 and the tooth grinding ending point P2 1 P 2 The grinding tooth profile of the grinding disc of the hot grinder is 1 P 2 Circular array to obtain a complete hot mill grinding plate.

[0173] As a preferred technical solution, in this embodiment, six specific embodiments of the design method of the hot mill grinding plate based on parabola are provided, including specific embodiments a to f. For specific parameters, please refer to the following Table 1.

[0174] Table 1 Specific examples a to f Parabolic equations with given parameters

[0175]

[0176] Implementing the embodiments of the present invention has the following beneficial effects:

[0177] The present invention provides a method for designing a grinding disc for a hot mill based on a parabola. From the inner circle to the outer circle, the gradually increasing sliding angle matches the gradually increasing cutting rate, and the gradually increasing sliding angle matches the gradually decreasing cutting force; the fiber separation quality is improved, the energy consumption is reduced, and the tool life is extended. The tooth profile curve is expressed by a parabola function, which is intuitive and simple to express and convenient for design.

[0178] Obviously, the above embodiments of the present invention are merely examples for clearly illustrating the present invention, and are not intended to limit the embodiments of the present invention. For those skilled in the art, other different forms of changes or modifications can be made based on the above description. It is not necessary and impossible to list all the embodiments here. Any modifications, equivalent substitutions and improvements made within the spirit and principles of the present invention should be included in the protection scope of the claims of the present invention.

Claims

1. A method for designing a grinding disc for a thermal grinder based on a parabola, characterized in that: The design method comprises the following steps: Step 1: Set the inner radius of the grinding disc of the hot grinding machine to R1 and the outer radius to R2; define the range of R2 to be 800~1200mm; The inner circle radius R1 is: R1=C1·R2 (1) The C1 represents a coefficient, ranging from 0.4 to 0.55; the range of R1 is 320 to 660 mm; Step 2: Set the tooth edge profile of the hot mill grinding disc to a parabola, and define the origin of the parabola as the center O of the hot mill grinding disc; 1) The intersection of any point on the parabola and the straight line where the radius of the grinding disc of the thermal grinding machine lies is defined as point P; 2) Define the starting point: define the intersection of the parabola and the inner radius of the grinding disc of the hot grinder as the grinding starting point P1, and its coordinates are (x1, y1); 3) Define the end point: define the intersection of the parabola and the outer diameter of the grinding disc of the hot grinder as the grinding end point P2, and its coordinates are (x2, y2); 4) Define the slip angle at any point on the parabola: The angle between the straight line where the rotation radius is located at any point on the parabola and the tangent at any point on the parabola is defined as the slip angle, represented by α; the slip angle represents the angle between the cutting speed and the cutting force at any point on the parabola; the slip angle at the starting point of the parabola is represented by α1, and the slip angle at the end point of the parabola is represented by α2, and the range of α2 is defined as 18° to 19.5°; 5) Define the rotation angle of any point on the parabola: define the angle between the straight line where the rotation radius of any point on the parabola lies and the x-axis as t, denote the rotation angle of the starting point of the parabola as t1, and denote the rotation angle of the ending point of the parabola as t2; Step 3: Define the equation of the parabola: Let the parametric equation of the parabola be y: y=A·x 2 ,A∈[0.000429,0.001082],x∈[x1,x2] In the formula, A is a constant used to control the shape of the parabola; x represents the horizontal coordinate of any point on the parabola; Step 3.1: Let the parametric equation of the parabola be y: y=A·x 2 ,(x>0) (2) In the formula, A is a constant used to control the shape of the parabola; x represents the independent variable; Step 3.2: Find the range of the angle t that increases with the parabola's sliding angle α: Find the derivative of y with respect to x. The derivative of y with respect to x is equal to the slope of the tangent corresponding to the angle t on the parabola, as shown in formula (3): Simplifying the above equation, we can get equation (8) or equation (9): Let Ax = P, then equation (9) is simplified to: Select the curve part where the sliding angle α increases with the rotation angle t, and let: The solution is: Right now: that is: The solution is the rotation angle t: t≤35.3° (15) Substituting formula (15) into formula (8), we get the slip angle α≤19.5°. This slip angle range is within the definition, indicating that the rotation angle range is designed correctly. Step 3.3: Find the x2 value of the parabola endpoint coordinate P2 and the A value of the parabola parameter equation; Because the sliding angle α2∈[18°, 19.5°] at the end point of the parabola; Substituting the value of the sliding angle α2 at the end point of the parabola into formula (8), we can obtain the rotation angle t2∈[25°,35.2°] at the end point of the parabola; And because x2=R2cos(t2) (16) And because R2∈[800,1200]; So we get x2∈[654,1087]; From formula (6), we get: Get A∈[0.000429,0.001078]; Therefore, the equation of the parabola is: y=A·x 2 ,A∈[0.000429,0.001082],x∈[x1,x2],x2∈[654,1087] In the formula, A is a constant used to control the shape of the parabola; x represents the horizontal coordinate of any point on the parabola.

2. The method according to claim 1, characterized in that Step 3 also includes: Step 3.4: Find the coordinates x1 of the starting point of the parabola: Substitute the values ​​of A and R1 into equation (18) to solve for the value of x1; Step 3.5: Verify the rotation angle t1 and the sliding angle α1 of the starting point of the parabola; The rotation angle t1 is obtained from formula (6): t1=this -1 (Ax1) (19) Substitute the solved A value and x1 value into formula (19) to obtain the rotation angle t1 of the starting point of the parabola; From formula (9), we can get: Substitute Ax1 into formula (20) to obtain the value of the slip angle α1.

3. The method according to claim 1, characterized in that The parabolic line segment P1P2 formed by the tooth grinding starting point P1 and the tooth grinding ending point P2 is the tooth grinding profile of the hot mill grinding plate. The parabolic line segment P1P2 is arranged in a circular array to obtain a complete hot mill grinding plate.

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