A method for grinding the tooth crest of an involute cylindrical gear

Abstract

The application discloses a grinding processing method for tooth tip rounding of an involute cylindrical gear, and comprises the following steps: determining tooth profile drawing parameters and diameters at involute tangent points according to an involute principle and basic parameters of the gear; drawing a standard involute according to the tooth profile drawing parameters; drawing an involute modification diagram, selecting at least three positions on a tooth tip rounding arc to obtain modification amounts; establishing a coordinate system according to the at least three positions and the modification amounts, determining coordinates of the three positions, fitting the three positions into an approximate circular arc, and calculating tooth tip rounding drum amounts according to the approximate circular arc and the tangent point diameters; and grinding the tooth tip rounding by using a gear grinder according to the tooth tip rounding drum amounts. n The application has the advantages of universality and low error rate.

Description

TECHNICAL FIELD

[0001] The application relates to the field of gear grinding processing, in particular to a forming gear grinding processing method for involute cylindrical gear tooth tip rounding. BACKGROUND

[0002] The tooth tip edge rounding of an aviation cylindrical gear has an important role. The conventional tooth tip rounding fillet radius R is generally 0.1-0.15 times of a module, and the rounding is tangent to the tooth surface involute and the tooth tip circle respectively. The rounding process is generally processed by hand, as shown in the figure. Figure 1 The hand rounding has a large processing difficulty, the R size is uncontrollable, the part rounding size precision is low, and the stability is poor. SUMMARY

[0003] The application aims to overcome the defects of the prior art and provide a gear grinding processing method for involute cylindrical gear tooth tip rounding, which is widely applicable and has a low error rate.

[0004] To solve the above technical problems, the application adopts the following technical scheme:

[0005] A gear grinding processing method for involute cylindrical gear tooth tip rounding, comprising the following steps:

[0006] Step S1, calculating the diameter d of the tooth tip rounding and the involute tangent point according to the gear basic parameters and the following formula y :

[0007]

[0008] d a is the tooth tip circle diameter, d b is the base circle diameter, and r is the tooth tip rounding radius;

[0009] Step S2, drawing a standard involute according to the tooth profile basic parameters and the tooth profile drawing parameters obtained according to the involute principle, drawing an involute modification diagram according to the tooth tip rounding requirement, the involute modification requirement and the diameter d y , selecting at least three positions on the tooth tip rounding arc, and measuring the modification amount of the at least three positions;

[0010] Step S3, establishing a coordinate system according to the at least three positions selected on the tooth tip rounding arc and the modification amount, determining the coordinates of the three positions, fitting an approximate circular arc, and calculating the tooth tip rounding drum amount δ R according to the approximate circular arc.

[0011] Step S4, grinding the tooth tip rounding of the involute cylindrical gear by using a gear grinding machine according to the tooth tip rounding drum amount δ R , the starting point position and the modification amount on the tooth tip rounding arc, and the ending point position and the modification amount on the tooth tip rounding arc.

[0012] As a further improvement of the above technical solution:

[0013] In the step S2, the tooth profile parameters are obtained by the following steps:

[0014] Step S201, determining the gear base circle radius r according to the involute principle and the basic parameters of the gear b ;

[0015] Step S202, determining the involute pressure angle α k , the development angle θ k , the development length L k according to the gear base circle radius r b and the radius r k of any point position on the involute, and obtaining the tooth profile drawing parameters;

[0016] In the step S301, the gear base circle radius r b is determined according to formula (II)

[0017] r b =m×z×cos(tan -1 (tanα / cosβ)) (II)

[0018] In formula (II), m is the modulus, z is the number of teeth, α is the normal pressure angle, and β is the spiral angle of the reference circle;

[0019] In the step S202, the involute pressure angle α k , the development angle θ k , and the development length L k are determined according to formulas (III), (IV) and (V) respectively;

[0020] α k =cos -1 (r b / r k ) (III)

[0021] θ k =tanα k -α k (IV)

[0022]

[0023] In the step S2, the three positions are the starting point position on the tooth top rounding arc, the ending point position on the tooth top rounding arc, and any point position on the tooth top rounding arc.

[0024] In the step S2, the coordinates of the three positions are respectively set as (Δy, d y / 2), (Δa, d a / 2), (Ak, d k / 2), according to formula (I) to calculate the tooth top rounding drum amount δ R ;

[0025]

[0026] In formula (I), x1=Δy, y1=d y / 2, x2=Δa, y2=d a / 2, x3=Δk, y3=d k / 2, meet d b <d k ≤d a ; , d y is the diameter at the starting position of the tooth top rounding arc, Δy is the modification amount at the starting position of the tooth top rounding arc, d a is the diameter at the tooth top position, Δa is the modification amount at the tooth top position, d k is the diameter at any point position on the involute, and Δk is the modification amount at any point position on the tooth top rounding arc.

[0027] The any point on the tooth top rounding arc is a point in the middle of the tooth top rounding arc on the involute.

[0028] The step S4 further comprises detecting whether the tooth top rounding meets the requirements, and the specific steps are as follows: using a profilometer to measure the actual height difference value h of the starting point and the ending point of the tooth top rounding arc, and judging whether the error rate of the actual height difference value h and the theoretical height difference value h0 meets the machining requirements, h0=(d a -d n ) / 2.

[0029] As a general inventive concept, the application also provides a grinding machining system for tooth top rounding of an involute cylindrical gear, comprising:

[0030] A first acquisition and drawing module is configured to determine tooth profile drawing parameters according to the involute principle and basic gear parameters.

[0031] A second calculation module is configured to determine the diameter d n at the rounding and involute intersection point according to the basic gear parameters and the following formula.

[0032]

[0033] d a is the tooth top diameter, d b is the base circle diameter, and r is the tooth top rounding radius.

[0034] The third drawing and measurement module is used to draw a standard involute curve based on tooth profile drawing parameters, and to determine the requirements for tooth tip rounding, involute curve modification, and the diameter d at the point of tangency between the rounding and the involute curve. n Draw an involute profile drawing, select at least three positions on the tooth tip fillet arc, and measure the profile amount at at least three positions;

[0035] The fourth data processing module is used to expand the actual arc and establish a coordinate system based on at least three selected positions and the amount of modification on the tooth tip fillet arc, determine the coordinates of the three positions, fit the elongation modification amount into an approximate arc, and then, based on the approximate arc and the diameter d of the tangent point... n The tooth tip rounding bulge amount δ was calculated. R ;

[0036] The fifth machining module is used to determine the specific rounding and bulging amount δ at the tooth tip. R The involute cylindrical gears are ground using a gear grinding machine to perform a special rounding of the tooth tip.

[0037] As a general inventive concept, the present invention also provides a computer-readable storage medium storing a computer program programmed or configured to perform the aforementioned grinding process for rounding the tip of an involute cylindrical gear.

[0038] Compared with the prior art, the advantages of the present invention are as follows:

[0039] This invention discloses a grinding method for rounding the tooth tip of involute cylindrical gears. The method involves fitting the tooth tip rounding to an approximate circular arc based on the elongation modification amount. It utilizes a three-segment tooth profile programming method for forming grinding machines, calculating the tangent diameter, tooth tip rounding modification amount, tooth tip rounding bulge amount, and measuring the tooth tip arc. The method then fits the tooth tip rounding to an approximate circular arc along the elongation modification amount. Finally, on-site processing verification shows a 100% tooth profile qualification rate, demonstrating strong applicability and solving the problem of rounding the tooth tip of involute cylindrical gears in grinding machine processing. Attached Figure Description

[0040] Figure 1 This is a schematic diagram of a tooth tip rounded off.

[0041] Figure 2 This is a process flow diagram of the present invention.

[0042] Figure 3 This is a diagram illustrating the principle of involute formation.

[0043] Figure 4 It is a standard involute tooth profile diagram.

[0044] Figure 5 This is a schematic diagram of the geometric relationship of the span.

[0045] Figure 6is an involute modification diagram.

[0046] Figure 7 is a three-point circular arc coordinate diagram of tooth tip rounding gear grinding

[0047] Figure 8 is a measurement diagram of special tooth tip rounding drum amount.

[0048] Figure 9 is a check result diagram of tooth tip rounding in Example 1. DETAILED DESCRIPTION

[0049] The application will be further described in detail below in combination with the drawings of the specification and specific examples. Unless otherwise specified, the instruments or materials used in the application are commercially available.

[0050] As Figure 2 shown, the tooth tip rounding gear grinding processing method of the involute cylindrical gear of the application, the cylindrical gear part has completed the tooth blank finishing before the gear grinding processing, including the processed reference of the supporting, fixing, positioning and other bases for the gear grinding processing; the tooth profile rough machining, and a certain grinding processing allowance is left; the part tooth tip and tooth profile intersection keep sharp edge (without deburring and manual rounding). The tooth tip rounding adopts gear grinding processing, the gear grinding process card gives the rounding parameters, including the number of teeth Z, the normal modulus m, the normal pressure angle α, the division circle spiral angle β, the tooth tip circle diameter d a (radius r a ), the dedendum circle diameter d i (radius r i ), the base circle diameter d b (radius r b ), the involute starting circle diameter d q . Among them, r refers to the rounding radius (r≥0.25mm), δ refers to the drum amount, ΔP refers to the error of P point, Δk refers to the modification amount, the tooth tip rounding gear grinding processing method of the involute cylindrical gear of the application includes calculating the tangent point diameter, measuring the tooth tip rounding modification amount, calculating the tooth tip rounding drum amount, and gear grinding processing, and the specific gear grinding processing method includes the following steps:

[0051] 1. Calculation of the tangent point diameter of the tooth tip rounding and the involute

[0052] 1) According to the involute formation principle diagram (as Figure 3 shown) and the basic parameters of the gear, the gear base circle radius r b and the tooth profile drawing parameters are determined.

[0053] r b = r × cos α t = m × z × cos α t = m × z × cos (tan -1 (tan α / cos β)) (1)

[0054] Note: α t =tan -1 (tanα / cosβ), when it is a cylindrical spur gear, r b = (m×z×cosα) / 2.

[0055] α k =cos -1 (r b / r k (2)

[0056] θ k =invα k =tanα k -α k (3)

[0057]

[0058] Tooth profile drawing parameters include the following: tooth tip circle diameter d a (tooth tip circle radius r) a ), tooth root circle diameter di (tooth root circle radius r) i ), the diameter d of the involute starting circle q Base circle diameter d b (base circle radius r) b ), the diameter d at point K on the involute k (radius r at point K on the involute) k ), Length L k , Figure 3 Point K shown is any point randomly selected on the involute, satisfying d b <d k ≤d a From formulas (1) to (4), r can be calculated. b and the expansion angle θ of each related point. k .according to Figure 3 The principle involves using CAD software to create the points on the tooth profile. A standard involute tooth profile diagram is shown below. Figure 4 As shown.

[0059] 2) Calculate the diameter of the tangent point (the tangent point refers to the point where the tooth tip fillet is tangent to the involute).

[0060] Given the tooth tip circle diameter d a Base circle diameter d b Calculate the fillet radius r, and the diameter d at the point of tangency between the fillet and the involute curve. y The diameter of the tangent point corresponds to the elongation L. y From the formula (4) for calculating the span, we can see that:

[0061]

[0062] From the geometric relationship, see Figure 5 , we can know that: y = L r + r, we get:

[0063]

[0064] Combining formulas (5) and (6), we get the diameter calculation formula at the tangent point:

[0065]

[0066] In the present application, since the tooth top rounding and involute tangent point diameter d y is not given, dy needs to be calculated first, and then the geometric figure of involute modification can be drawn.

[0067] 2 Tooth top rounding modification measurement: according to the tooth profile drawing parameters and the modified involute, the tooth top rounding modification amount is measured.

[0068] According to Figure 4 the standard involute drawn out, then according to the requirements of involute modification and tooth top rounding, the geometric figure of involute modification is made, as shown in Figure 5 and 6 . The modification amounts Δa, Δy, Δk can be obtained by CAD dimension measurement.

[0069] Figure description:

[0070] (1) In the figure, "tooth profile modification" refers to the modification of the involute below the tooth top rounding. The modification amount Δy at the starting point (B in the figure) of the rounding is also the modification amount at the end point of the tooth profile (tooth surface). This value is given by the design document. If the design document has no modification, Δy = 0. Figure 6

[0071] (2) The modification amount Δa at the tooth top (A in the figure) is the total modification amount of the rounding R at the tooth top, that is, the modification amount of the tooth profile end point Δy and the rounding R modification are superimposed. Figure 6

[0072] (3) "H" is the height from the vertex of the extension line of the tooth top rounding R to the tooth top circle. This value will be used in the subsequent measurement part.

[0073] (4) "h" is the height from the starting point (diameter d y ) of the tooth top rounding R to the tooth top circle. h ≈ (d a / d k ) / 2. This value will be used in the subsequent measurement part.

[0074] ​​(5)The drum shape of the tooth tip rounding R in the grinding process cannot be directly replaced by the chord height of the actual R, and must be calculated according to the circular arc formed by the offset of the tooth profile development length of R. Therefore, a point on the tooth tip rounding arc is randomly selected as a reference point K (generally a reference point K is defined near the middle of the rounding arc R), and the diameter d at the K point is determined k , and the modification amount is Δk.

[0075] 3. According to the modification amount of the tooth tip rounding arc, the tooth tip rounding drum amount is calculated.

[0076] According to the modification amounts (Δa, Δy, Δk) of the three points B, K, and A on the tooth tip rounding arc, the coordinates of the three points of the actual tooth tip rounding arc R developed according to the development length are B(Δy, d y / 2), K(Δk, d k / 2), and A(Δa, d a / 2). The three point coordinates are fitted into an approximate circular arc, and the rounding drum amount δ R is obtained according to the following three point circular arc drum amount calculation formula (17)~(18).

[0077] 1) Three point circular arc geometric coordinate diagram:

[0078] The three point coordinates are M1(x1, y1), M2(x2, y2), and M3(x3, y3), and the rectangular coordinate diagram is shown in Figure 7 (the X axis of the rectangular coordinate diagram is the modification amount, and the Y axis is the radius value), wherein M1, M2, and M3 correspond to B, K, and A in Figure 6 respectively. C(x0, y0) is the center of the circle determined by M1, M2, and M3, and the circle radius is r, wherein points A, B, and D are the midpoints of line segments M1M2, M2M3, and M1M3 respectively.

[0079] As known from geometry, the intersection point C of the midlines of any two chords is the center of the circle;

[0080] The coordinates of point A are

[0081] The coordinates of point B are

[0082] The coordinates of point D are

[0083] E is the intersection point of the extension line of CD and the circular arc, and DE is the drum amount δ of the M1M2M3 sector.

[0084] 2) Circular arc drum amount calculation formula:

[0085] Since the slope of M1M2 is:

[0086] ∴AC slope is:

[0087] Also ∵

[0088] From (8) = (9), we have:

[0089]

[0090]

[0091] Similarly, according to the BC line, we have:

[0092]

[0093]

[0094] From (10) = (12) and (11) = (13), we have:

[0095]

[0096]

[0097]

[0098]

[0099]

[0100] 4. The tooth top rounding drum shape amount and other data are input into the gear grinding machine for grinding.

[0101] 5. Detection and verification of tooth top rounding drum shape results

[0102] Because the tooth top rounding is tangent to the tooth profile and tooth top circle respectively, the arc length for measurement is very short, and visual comparison and R gauge inspection cannot accurately determine whether it is qualified, only precise profilometers can be used for inspection. The measurement position is located in the range of h height below the tooth top circle, as shown in Figure 8 h = (d a -d n ) / 2

[0103] Example 1

[0104] Taking the tooth top rounding of an aviation straight spur gear as an example, the gear parameters are known, including: number of teeth Z = 16, modulus m = 4.75, pressure angle α = 32.5°, tooth top circle diameter d a = 83.5mm, base circle diameter d b = 64.098mm, and the tooth top rounding r = 0.5mm is required.

[0105] Take a point d near the middle of the tooth top rounding arc k = 83.44 mm, the corresponding length of 26.710 mm is calculated, the modification amount δ R 0.0289 mm, then the grinding processing is carried out, and the grinding processing data obtained are shown in the following table.

[0106] Name Diameter position Rounding modification starting point Φ83.208 Rounding modification end point Φ83.687 Rounding arc K point modification amount -0.1453 Rounding arc K point drum shape amount 0.0367

[0107] The tooth top rounding is checked by a profile tracer, and the situation is as follows Figure 9 , the measurement length h = 0.15, and it can be seen from Figure 9 that the measured R0.396 of the tooth top rounding is 0.1% different from the preset requirement R0.4, and the error is 0.1%, which meets the processing requirement.

[0108] The grinding processing system for the tooth top rounding of the involute cylindrical gear of the application comprises:

[0109] The first acquisition and drawing module is used to determine the tooth profile drawing parameters according to the involute principle and the basic parameters of the gear.

[0110] The second calculation module is used to determine the diameter d n of the rounding and the involute tangent point according to the basic parameters of the gear and the following formula:

[0111]

[0112] d a is the tooth top rounding diameter, d b is the base circle diameter, and r is the tooth top rounding radius.

[0113] The third drawing and measuring module is used to draw a standard involute according to the tooth profile drawing parameters, draw an involute modification drawing according to the tooth top rounding requirement, the involute modification requirement and the diameter d n , select at least three positions on the tooth top rounding arc, and measure the modification amount of the at least three positions.

[0114] The fourth data processing module is used to establish a coordinate system according to the at least three positions selected on the tooth top rounding arc and the modification amount, determine the coordinates of the three positions, fit an approximate arc, and calculate the tooth top rounding drum amount δ n according to the approximate arc and the tangent point diameter d R .

[0115] The fifth processing module is used to grind the tooth top special rounding of the involute cylindrical gear by the grinding machine according to the tooth top special rounding drum amount δ R , the starting position and the modification amount on the tooth top rounding arc, and the ending position and the modification amount of the tooth top rounding.

[0116] A computer readable storage medium having stored therein a computer program programmed or configured to perform the gear lapping process for involute cylindrical gear tooth tip rounding.

[0117] Those skilled in the art will appreciate that embodiments of the present application can be devised for a method, a system, or a computer program product. Accordingly, the present application can take the form of an entirely hardware embodiment, an entirely software embodiment or an embodiment combining software and hardware aspects. Furthermore, the present application can take the form of a computer program product on one or more computer readable storage media (including, but not limited to, disk storage, CD-ROMs, optical storage devices, etc.) embodying computer readable program code thereon.

[0118] The present application is described in reference to the flowchart illustrations and / or block diagrams of methods, apparatus (systems) and computer program products according to embodiments of the application. It will be understood that each block of the flowchart illustrations and / or block diagrams, and combinations of blocks in the flowchart illustrations and / or block diagrams, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general purpose computer, special purpose computer, embedded processing system or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create means for implementing the functions specified in the flowchart illustrations and / or block diagrams block or blocks. Figure 1 one or more functions specified in the flowchart illustrations and / or block diagrams block or blocks. Figure 1 means for performing the function specified by the flowchart illustrations and / or block diagrams block or blocks.

[0119] These computer program instructions can also be stored in a computer readable memory that can direct a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer readable memory produce an article of manufacture including instructions which implement the flowchart illustrations and / or block diagrams block or blocks. Figure 1 one or more functions specified in the flowchart illustrations and / or block diagrams block or blocks. Figure 1 means for performing the function specified by the flowchart illustrations and / or block diagrams block or blocks.

[0120] These computer program instructions can also be loaded onto a computer or other programmable data processing apparatus to cause a series of operational steps to be performed on the computer or other programmable apparatus to produce a computer implemented process such that the instructions which execute on the computer or other programmable apparatus provide steps for implementing the flowchart illustrations and / or block diagrams block or blocks. Figure 1 one or more functions specified in the flowchart illustrations and / or block diagrams block or blocks. Figure 1 means for performing the function specified by the flowchart illustrations and / or block diagrams block or blocks.

[0121] Although the present application has been disclosed with reference to the preferred embodiments, it is not intended to limit the present application. Any person skilled in the art, without departing from the technical scope of the present application, can make many possible changes and modifications to the disclosed technical content of the present application, or modify equivalent embodiments of equivalent changes. Therefore, any simple modification, equivalent change and modification made to the above embodiments without departing from the technical content of the present application, according to the technical essence of the present application, shall fall within the scope of protection of the present application.

Claims

1. A grinding method for rounding the tooth tip of an involute cylindrical gear, characterized in that: Includes the following steps: Step S1: Calculate the diameter d at the tooth tip fillet and the involute tangent point based on the basic gear parameters and the following formula. y : d a d is the diameter of the tooth tip circle. b r is the base circle diameter, and r is the tooth tip fillet radius; Step S2: Draw a standard involute based on the basic tooth profile parameters and the involute principle. Then, according to the tooth tip rounding requirements, involute shaping requirements, and diameter d... y Draw an involute profile drawing, select at least three positions on the tooth tip fillet arc, and measure the profile amount at at least three positions; In step S2, the coordinates of the three positions are respectively set as (Δy, d). y / 2), (Δa, d) a / 2), (Δk, d) k / 2), the tooth tip rounding bulge amount is calculated according to formula (Ⅰ). ; （Ⅰ） In equation (Ⅰ), x1 = Δy, y1 = d y / 2, x2=Δa, y2= d a / 2, x3=Δk, y3= d k / 2, satisfying d b <d k ≤d a ; , d y d is the diameter at the starting point of the fillet arc, Δy is the shaping amount at the starting point of the fillet arc, and d is the diameter at the starting point of the fillet arc. a d is the diameter at the tooth tip, Δa is the profile modification amount at the tooth tip, and d is the diameter at the tooth tip. k Let Δk be the diameter at any point on the involute, and Δk be the amount of shaping at any point on the tooth tip fillet arc. Step S3: Based on at least three selected positions on the tooth tip rounding arc and the shaping amount, establish a coordinate system, determine the coordinates of the three positions, fit them into an approximate arc, and calculate the tooth tip rounding bulge amount based on the approximate arc. ; Step S4: Based on the amount of rounded bulge at the tooth tip The starting point and amount of the tooth tip rounding arc, and the ending point and amount of the tooth tip rounding arc are ground using a gear grinding machine to perform tooth tip rounding on the involute cylindrical gear.

2. The gear grinding method according to claim 1, characterized in that: In step S2, the tooth profile drawing parameters are obtained through the following steps: Step S201: Determine the base circle radius r of the gear based on the involute principle and basic gear parameters. b ; Step S202: Based on the gear base circle radius r b The radius r at any point on the involute k Determine the involute pressure angle α k , unfolding angle θ k , Exhibition length L k This yields the parameters for drawing the tooth profile.

3. The gear grinding method according to claim 2, characterized in that: In step S201, the base circle radius r of the gear is determined according to formula (II). b , r b = m×z×cos(tan -1 (tanα / cosβ))(Ⅱ) In equation (II), m is the module, z is the number of teeth, α is the normal pressure angle, and β is the pitch circle helix angle.

4. The gear grinding method according to claim 3, characterized in that: In step S202, the involute pressure angle α is determined according to formulas (Ⅲ), (Ⅳ), and (Ⅴ), respectively. k , unfolding angle θ k , Exhibition length L k ; a k =cos -1 (r) b / r k ) (Ⅲ) i k =tanα k -a k (IV) L k = （Ⅴ）。 5. The gear grinding method according to any one of claims 1 to 4, characterized in that: In step S2, the three positions are the starting point position on the tooth tip rounding arc, the ending point position on the tooth tip rounding arc, and any point on the tooth tip rounding arc.

6. The gear grinding method according to claim 5, characterized in that: Any point on the tooth tip rounding arc is a point on the involute line located at the middle of the tooth tip rounding arc.

7. The gear grinding method according to any one of claims 1 to 4, characterized in that: Step S4 is followed by checking whether the tooth tip rounding meets the requirements. The specific steps are: using a profilometer to measure the actual height difference h between the start and end points of the tooth tip rounding arc; determining whether the error rate between the actual height difference h and the theoretical height difference h0 meets the processing requirements; h0 = (d a -d n ) / 2.

8. A grinding system for rounding the tip of involute cylindrical gears, used to perform the grinding method according to any one of claims 1 to 7, characterized in that: include: The first calculation module is used to determine the diameter d at the fillet and involute tangent points based on the basic gear parameters and the following formula. y : d a d is the diameter of the tooth tip circle. b r is the base circle diameter, and r is the tooth tip fillet radius; The second drawing and measurement module is used to draw a standard involute curve based on the basic tooth profile parameters and the involute principle, and to draw the standard involute curve according to the tooth tip rounding requirements, involute curve modification requirements, and diameter d. y Draw an involute profile drawing, select at least three positions on the tooth tip fillet arc, and measure the profile amount at at least three positions; The third data processing module is used to establish a coordinate system based on at least three selected positions on the tooth tip fillet arc and the modification amount, determine the coordinates of the three positions, fit an approximate arc, and then process the approximate arc and the diameter d of the tangent point. n The amount of tooth tip rounding and bulging was calculated. ; The fourth machining module is used to determine the specific rounding and bulging amount of the tooth tip. The starting point and amount of the tooth tip rounding arc, as well as the ending point and amount of the tooth tip rounding arc, are ground using a gear grinding machine to perform special tooth tip rounding on the involute cylindrical gear.

9. A computer-readable storage medium, characterized in that, The computer-readable storage medium stores a computer program that is programmed or configured to perform the grinding method for rounding the tip of an involute cylindrical gear as described in any one of claims 1 to 7.

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