A grinding method for special rounding of involute cylindrical gear tooth crest

Abstract

The application discloses a grinding processing method for special rounding of tooth top of involute cylindrical gear, and comprises the following steps: firstly, determining tooth profile drawing parameters, drawing a standard involute and a modified tooth profile, obtaining modification amount of three-point position on the special rounding arc of the tooth top, fitting the three-point position of the special rounding arc of the tooth top into an approximate circular arc, replacing the special rounding arc of the tooth top with the approximate circular arc, deducing and calculating the drum shape amount of the special rounding arc of the tooth top, and grinding the tooth top according to the drum shape amount of the special rounding arc of the tooth top by using a gear grinding machine. The grinding processing method has the advantages that the special rounding of the tooth top is tangent to the involute of the tooth surface, and the special rounding of the tooth top intersects with the tooth top surface.

Description

TECHNICAL FIELD

[0001] The present application relates to the field of gear grinding, in particular to a gear grinding method for special rounding of the addendum of an involute cylindrical gear. BACKGROUND

[0002] The rounding of the addendum of an aero cylindrical gear has an important role. The rounding radius R of the conventional addendum is generally 0.1-0.15 times the modulus, and is tangent to the addendum circle and the involute of the tooth surface (such as Figure 1 The rounding at point A in (a) is tangent to the addendum, and the rounding at point B is tangent to the involute of the tooth surface), and this rounding process is mature, simple, and easy to measure.

[0003] In order to reduce the contact stress, a new type of gear has a transition arc radius R (rounding radius) of at least greater than 0.5 times the modulus, which is expanded from 0.1-0.15 times the modulus. In order to ensure the effective meshing length of the tooth surface, that is, the transition arc radius R is tangent to the tooth surface, and intersects with the addendum circle (such as Figure 1 (b) the starting point of the rounding at point B is tangent to the involute of the tooth surface, and the rounding at point A intersects with the addendum), and the addendum removal amount Δ of this special rounding is very small (about 0.03 mm) compared with the addendum removal amount Δ of the conventional rounding, as shown in Figure 1 This transition arc radius R determines the minimum value of the rolling angle of the involute tooth profile tangent point, and the rolling angle is not less than 33.5901°, which requires high precision control. The transition arc radius R size is uncontrollable by manual rounding, and is easy to be out of tolerance, which is difficult to meet the processing requirements. SUMMARY

[0004] The technical problem to be solved by the present application is to overcome the shortcomings of the prior art, and to provide a gear grinding method for special rounding of the addendum of an involute cylindrical gear, which is tangent to the involute of the tooth surface and intersects with the addendum surface with a small error rate.

[0005] To solve the above technical problems, the present application adopts the following technical solutions:

[0006] A gear grinding method for special rounding of the addendum of an involute cylindrical gear, comprising the following steps:

[0007] Step S1, determining the tooth profile drawing parameters according to the involute principle and the basic parameters of the gear;

[0008] Step S2, drawing a standard involute according to the tooth profile drawing parameters, and drawing a modified tooth profile according to the modification requirements of the involute and the special rounding requirements of the addendum, and measuring the modification amount of at least three positions on the special rounding arc of the addendum;

[0009] Step S3: Based on at least three positions and the modification amount on the special rounded arc at the tooth tip, unfold the arc according to the actual arc and establish a coordinate system. Determine the coordinates of the three positions, fit the elongation modification amount into an approximate arc, and calculate the special rounded bulge amount δ at the tooth tip based on the approximate arc. R ;

[0010] Step S4: Based on the special rounded bulge amount δ at the tooth tip R The starting point and modification amount of the special rounded arc on the tooth tip, and the ending point and modification amount of the special rounded arc on the tooth tip are ground using a gear grinding machine to perform special rounded teeth on the involute cylindrical gear.

[0011] As a further improvement to the above technical solution:

[0012] Step S1 includes the following steps:

[0013] Step S101: Determine the base circle radius r of the gear based on the involute principle and basic gear parameters. b ;

[0014] Step S102: 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 The tooth profile drawing parameters are obtained.

[0015] In step S101, the base circle radius r of the gear is determined according to formula (II). b ,

[0016] r b =m×z×cos(tan -1 (tanα / cosβ)) (Ⅱ)

[0017] 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;

[0018] Determine the involute pressure angle α according to formulas (Ⅲ), (Ⅳ), and (Ⅴ) respectively. k , unfolding angle θ k , Exhibition length L k ;

[0019] α k =cos -1 (r b / r k (III)

[0020] θ k =tanα k -α k (Ⅳ)

[0021]

[0022] In the step S2, the three positions on the special rounding arc at the tooth tip are a starting position, a tooth tip position and an arbitrary position on the special rounding arc at the tooth tip.

[0023] In the step S3, the coordinates of the three positions are respectively (Δy, d y / 2), (Δa, d a / 2) and (Δk, d k / 2), and the special rounding amount δ R at the tooth tip is calculated according to the formula (I).

[0024]

[0025] In the formula (I), x1=Δy, y1=d y / 2, x2=Δa, y2=d a / 2, x3=Δk, y3=d k / 2, and d b <d k ≤d a .

[0026] d y is the diameter at the starting position on the special rounding arc at the tooth tip, Δy is the modification amount at the starting position on the special rounding arc at the tooth tip, d a is the diameter at the tooth tip position, Δa is the modification amount at the tooth tip position, and d k is the diameter at an arbitrary position on the involute, and Δk is the modification amount at the arbitrary position on the special rounding arc at the tooth tip.

[0027] In the step S2, the arbitrary position on the special rounding arc at the tooth tip is a point in the middle of the rounding on the involute.

[0028] In the step S2, a drawing software is used for drawing and measurement.

[0029] After the step S4, the method further comprises the following step: using a profile tracer to check whether the special rounding at the tooth tip after the gear grinding meets the requirements.

[0030] Before the gear grinding of the special rounding at the tooth tip, a machining allowance is left at the intersection of the tooth tip and the tooth profile of the part.

[0031] As a general inventive concept, the application further provides a gear grinding system for the special rounding at the tooth tip of an involute cylindrical gear, comprising:

[0032] The first collection and drawing module is used for determining tooth profile drawing parameters according to the involute principle and basic parameters of the gear;

[0033] The second drawing and measuring module is used for drawing a standard involute according to the tooth profile drawing parameters, drawing a modified tooth profile according to the modification requirement of the involute and the special rounding requirement of the addendum, and measuring modification amounts of at least three positions on the special rounding arc of the addendum;

[0034] The third data processing module is used for expanding and establishing a coordinate system according to the at least three positions and the modification amounts on the special rounding arc of the addendum, determining coordinates of the three positions, fitting the expansion modification amounts into an approximate circular arc, and calculating the special rounding drum amount δ of the addendum according to the approximate circular arc R ;

[0035] The fourth processing module is used for grinding the special rounding of the addendum of the involute cylindrical gear by a gear grinding machine according to the special rounding drum amount δ of the addendum R , the start position and the modification amount on the special rounding arc of the addendum, and the end position and the modification amount on the special rounding arc of the addendum.

[0036] As a general inventive concept, the application further provides a computer readable storage medium, which stores a computer program programmed or configured to perform the grinding processing of the special rounding of the addendum of the involute cylindrical gear.

[0037] Compared with the prior art, the application has the following advantages:

[0038] The grinding processing method for the special rounding of the addendum of the involute cylindrical gear provided by the application is used for the parts with the special rounding of the addendum of the involute cylindrical gear, first determines tooth profile drawing parameters, draws a standard involute and a modified tooth profile, obtains modification amounts of three positions on the special rounding arc of the addendum, fits the special rounding of the addendum into an approximate circular arc, uses the approximate circular arc to replace the special rounding of the addendum, and deduces the calculation of the modification amount of the special rounding of the addendum and the drum amount of the special rounding arc of the addendum. The grinding processing method fills the gap of the domestic processing technology, and can provide a reference for the gear parts with the special rounding of the addendum. BRIEF DESCRIPTION OF DRAWINGS

[0039] Figure 1 is a schematic diagram of the special rounding of the addendum and the conventional rounding of the application.

[0040] Figure 2 is a process flowchart of the application.

[0041] Figure 3 is the involute formation principle diagram.

[0042] Figure 4 is the standard involute tooth profile diagram.

[0043] Figure 5 is the involute modification geometry diagram.

[0044] Figure 6 is the three-point arc coordinate diagram of the special rounding of the addendum of the invention.

[0045] Figure 7 is the measurement diagram of the special rounding of the addendum.

[0046] Figure 8 is the standard tooth profile diagram and the tooth profile modification diagram in Example 1.

[0047] Figure 9 is the checking result diagram of the rounding in Example 1. DETAILED DESCRIPTION

[0048] The invention 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 invention are commercially available.

[0049] Before the gear grinding processing, the part has completed the tooth blank finishing, including the reference of the supporting, fixing, positioning and the like for the gear grinding processing has been processed; the tooth profile rough machining is performed and a certain grinding processing allowance is left; the intersection of the addendum and the tooth profile of the part keeps sharp edge (without the conventional rounding or with the processing allowance left).

[0050] The gear grinding processing method for the special rounding of the addendum of the involute cylindrical gear of the invention is shown in Figure 2 , the special rounding of the addendum is processed by the gear grinding, the gear grinding procedure card gives the rounding parameters, including the number of teeth Z, the normal modulus m, the normal pressure angle α, the division circle helix angle β, the addendum circle diameter d a (the radius r a ), the dedendum circle diameter d i (the radius r i ), the involute starting circle diameter d q , the rolling angle is not less than 33.5901°. Among them, R refers to the rounding radius, r refers to the modification circle radius, δ refers to the crown amount, ΔP refers to the error of point P, Δk refers to the modification amount, and the specific gear grinding processing method includes the following steps:

[0051] 1.1 According to the involute principle (see Figure 3 ) and the basic parameters of the gear, the gear base circle radius r b and the tooth profile drawing parameters are determined:

[0052] r b = r x cos αt =m×z×cosα t =m×z×cos(tan -1 (tanα / cosβ)) (14)

[0053] α t =tan -1 (tanα / cosβ), when it is a cylindrical spur gear r b = (m×z×cosα) / 2.

[0054] α k =cos -1 (r b / r k (15)

[0055] θ k =invα k =tanα k -α k (16)

[0056]

[0057] Tooth profile drawing parameters include the following: tooth tip circle diameter d a (tooth tip circle radius r) a ), tooth root circle diameter d i (radius of tooth root circle r) i ), the diameter d of the involute starting circle q Base circle diameter d b (radius r) b ), the diameter d at point K on the involute k (radius r) k ), Figure 3 Point K shown is any point randomly selected on the involute. It satisfies d b <d k ≤d a From formulas (14) to (16), r is calculated. b and the expansion angle θ of each related point. k .according to Figure 3 The principle is to create the tooth profile at various points in CAD; the standard involute tooth profile is shown below. Figure 4 As shown.

[0058] 1.2 Draw the standard involute and modified involute according to the tooth profile drawing parameters, and measure the special rounding modification amount of the tooth tip.

[0059] according to Figure 4 The standard involute curve is drawn, and then the geometric shape of the involute curve modification is made according to the involute curve modification requirements and the special rounding requirements of the tooth tip. Figure 5 The shaping amounts Δa, Δy, and Δk can be obtained through CAD dimension measurement.

[0060] Explanation:

[0061] (1) The "tooth profile modification" in the figure refers to the involute modification of the rounded portion, and the modification amount Δy at the starting point of the rounding (point B in the figure) is also the modification amount at the end of the tooth profile. This value is given in the design document. If the design document does not have modification, Δy = 0. Figure 5

[0062] (2) The modification amount Δa at the addendum (point A in the figure) is the total modification amount of the rounding R at the addendum, which is the superposition of the modification amount Δy at the end of the tooth profile and the modification amount of the rounding R. Figure 5

[0063] (3) "H" is the height from the vertex of the extension line of the special rounding R at the addendum to the addendum circle. This value will be used in the subsequent drum shape result detection part.

[0064] (4) "h" is the height from the starting point of the special rounding R at the addendum (diameter d y at point A in the figure) to the addendum circle. h ≈ (d a / d k )

[0065] / 2. This value will be used in the subsequent drum shape result detection part.

[0066] (5) The "drum shape of the rounding R in the grinding process cannot be directly replaced by the chord height of the actual rounding R, but must be calculated according to the circular arc formed by the offset of the tooth profile development of the rounding R". The circular arc must have 3 points to be determined, so a random point on the rounding circular arc is selected as the reference point K (a reference point K is generally defined near the middle of the rounding circular arc R), and the diameter d k and the modification amount Δk at the reference point K are determined.

[0067] 1.3 Calculate the rounding drum shape according to the modification amount of the special rounding circular arc at the addendum.

[0068] According to the modification amounts (Δa, Δy, Δk) of the three points B, K, A on the special rounding circular arc at the addendum, the coordinates of the three points after development according to the development length are B(Δy, d y / 2), K(Δk, d k / 2), and A(Δa, d a / 2). The rounding drum shape δ R can be obtained by using the following three-point circular arc drum shape calculation formulas (7) to (11). Figure 5

[0069] 1) Three-point circular arc geometric coordinate diagram:

[0070] ​​​Three points are known as M1(x1, y1), M2(x2, y2), M3(x3, y3), and the rectangular coordinate graph is shown in Figure 6 (X axis of the rectangular coordinate graph is the amount of modification, Y axis is the radius value). C(x0, y0) is the center of the circle determined by M1, M2, M3, and the circle radius is r, where points A, B, D are the midpoints of line segments M1M2, M2M3, M1M3, respectively.

[0071] From geometry, the intersection point C of the midline of any two chords is the center of the circle;

[0072] The coordinates of point A are

[0073] The coordinates of point B are

[0074] The coordinates of point D are

[0075] E is the intersection point of the extension line of CD and the circular arc, and DE is the drum-shaped amount δ of the M1M2M3 sector.

[0076] 2) The formula for calculating the drum-shaped amount of the circular arc is:

[0077] ∵ The slope of M1M2 is:

[0078] ∴ The slope of AC is:

[0079] Also ∵

[0080] From (1) = (2), we get:

[0081]

[0082]

[0083] Similarly, according to the BC line, we get:

[0084]

[0085]

[0086] From (4) = (6) and (3) = (5), we get:

[0087]

[0088]

[0089]

[0090]

[0091]

[0092] 1.4 According to the starting point, the end point, and the amount of modification and the amount of drum shape, etc. data input into the gear grinding machine, the gear is processed by the gear grinding machine.

[0093] 1.5 Detection and verification of the results of the special rounding of the addendum

[0094] Because the special rounding of the addendum is tangent to the tooth profile at one end and intersects the addendum circle at the other end, the rounding radius R is larger than the general addendum chamfer, but the arc length for measurement is very short (such as the special rounding arc length in the present application is only about 0.3mm), the true arc drum shape is very small (such as the present application is only about 0.01mm), visual comparison and special rounding radius R gauge inspection cannot determine whether it is qualified, only rely on precise profilometer inspection.

[0095] Example 1:

[0096] Taking the special rounding of the addendum of the aviation cylindrical gear in this example as an example, it is known that: the number of teeth Z = 48, the modulus m = 3.90291, the pressure angle α = 25.90507°, the helix angle β = 0, the addendum circle diameter d a = 196, the dedendum circle diameter d i = 178, the involute starting circle diameter d q = φ181.0095.

[0097] The diameter / amount of modification of the addendum circle tooth profile modification (the amount of modification at the addendum (the intersection of the rounding and the addendum circle)) is: φd = φ195.34 / -0.038, the amount of modification on the development length / development length coordinate value is P(0.038, 97.67).

[0098] a) Drawing parameter calculation:

[0099] According to formula (14), we can get:

[0100] The base circle diameter radius r b = m × z × cos(tan -1 (tanα / cosβ)) = 84.2578124.

[0101] Take a point near the middle of the special rounding arc of the addendum, its diameter d k = 195.625.

[0102] According to formulas (15), (16), and (17), the involute pressure angle α k , the development angle θ k , and the development length L k of each point are calculated, and the tooth profile drawing parameter results are shown in Table 1.

[0103] Table 1 Tooth profile drawing parameters

[0104] Diameter (mm) 196 195.625 195.34 194.174 193.008 191.842 190.676 181.0095 Pressure angle (°) 30.708828 30.523409 30.381328 29.789230 29.178890 28.549038 27.898247 21.412422 Unfolding angle (°) 3.322858 3.257923 3.208812 3.010071 2.814941 2.623556 2.436062 1.055879 Unfolding length (mm) 50.046189 49.678025 49.396862 48.233874 47.049368 45.841676 44.608915 33.041350

[0105] b) Tooth profile drawing and modification amount

[0106] According to the parameters in Table 1, the tooth profile is drawn, and the modification amount is measured by CAD, as shown in Figure 7

[0107] The modification amount Ay=0.038 of the chamfer starting point (diameter dy=195.34) is known.

[0108] The modification amount Da=0.069297 at the tooth tip (diameter d a =196) is measured.

[0109] The modification amount Dk=0.045989 at diameter d k =195.625 is measured.

[0110] c) Chamfer modification development fitting circular arc drum amount calculation

[0111] According to the 3 points (diameters d y , d k , d a corresponding to points B, K, A) on the special chamfer circular arc at the tooth tip and their corresponding modification amounts Ay, Dk, Da, the true circular arc is developed by expansion, and is fitted into an approximate circular arc. The approximate circular arc is used as the special chamfer circular arc, and a right-angle coordinate system is established to calculate the drum amount of the special chamfer at the tooth tip. The drum amount of the special chamfer at the tooth tip is δR=0.0056 mm. Figure 4

[0112] d) Tooth tip special chamfer detection

[0113] The measurement position is located in the range of height h below the tooth tip circle, as shown in Figure 7 h=(d a +d y ) / 2. In order to analyze whether this measurement method can truly reflect the actual special chamfer circular arc radius, a circular arc radius (R2~R2.5) is used for measurement verification. A standard roller Φ4.52 (radius R2.26) is used for detection on a profilometer (model Optcom VC-10-EL). According to the tooth profile drawing, H=0.78 and h=0.33 are calculated, and actually H=0.8 and h=0.3 are taken. The actual measurement value is 2.252, and the error is -3.5‰, which is negligible compared with the tolerance of 0.5 mm, so the result is valid.

[0114] The tooth tip special chamfer profilometer inspection condition is shown in Figure 8 Figure 8 ​​​It can be seen that the special rounding of the tooth top is R2.244 / R2.367, which meets the requirement of R2~R2.5, and the rounding qualification rate is 100%. (The data measurement unit in the application is mm)

[0115] The application also provides a grinding processing system for the special rounding of the tooth top of the involute cylindrical gear.

[0116] The first collection and drawing module is used for determining tooth profile drawing parameters according to the involute principle and basic gear parameters.

[0117] The second drawing and measuring module is used for drawing a standard involute according to the tooth profile drawing parameters, drawing a modified tooth profile according to the involute modification requirement and the special rounding requirement of the tooth top, and measuring the modification amount of at least three positions on the special rounding arc of the tooth top.

[0118] The third data processing module is used for expanding and establishing a coordinate system according to the at least three positions on the special rounding arc of the tooth top and the modification amount, determining the coordinates of the three positions, fitting the expansion modification amount into an approximate circular arc, and calculating the drum amount δ R of the special rounding of the tooth top according to the approximate circular arc.

[0119] The fourth processing module is used for grinding the special rounding of the tooth top of the involute cylindrical gear according to the drum amount δ R .

[0120] A computer readable storage medium, which stores a computer program programmed or configured to perform the grinding processing of the special rounding of the tooth top of the involute cylindrical gear.

[0121] Those skilled in the art should understand that the embodiments of the application can be provided as a method, a system, or a computer program product. Therefore, the application can adopt a complete hardware embodiment, a complete software embodiment, or an embodiment combining software and hardware aspects. Moreover, the application can adopt a computer program product in the form of one or more computer usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) containing computer usable program codes.

[0122] The 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 functions specified in the flowchart block or blocks. Figure 1 one or more flowcharts and / or blocks Figure 1 one or more flowcharts and / or blocks

[0123] 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 function specified in the flowchart block or blocks. Figure 1 one or more flowcharts and / or blocks Figure 1 one or more flowcharts and / or blocks

[0124] The 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 functions specified in the flowchart block or blocks. Figure 1 one or more flowcharts and / or blocks Figure 1 one or more flowcharts and / or blocks

[0125] While the present application has been disclosed in connection with the preferred embodiments thereof, it should be understood that many modifications, substitutions, changes, and equivalents will now occur to those skilled in the art. It is, therefore, entitled to claim that any such modifications, changes, equivalents, or substitutions are intended to be covered by the present application.

Claims

1. A grinding method for a special rounded tooth tip on an involute cylindrical gear, characterized in that: Includes the following steps: Step S1: Determine the tooth profile drawing parameters based on the involute principle and basic gear parameters; Step S2: Draw a standard involute according to the tooth profile drawing parameters. Draw a modified tooth profile according to the involute modification requirements and the special rounding requirements of the tooth tip. Measure the modification amount at at least three positions on the special rounding arc of the tooth tip. The special rounding of the tooth tip refers to a rounding end that is tangent to the tooth profile and the other end that intersects the tooth tip circle. The rounding radius is at least greater than 0.5 times the module. Step S3: Based on at least three positions on the special rounded arc of the tooth tip and the amount of modification, establish a coordinate system, determine the coordinates of the three positions, fit them into an approximate arc, and calculate the amount of special rounded bulge at the tooth tip based on the approximate arc. ; The three positions on the special rounded arc at the tooth tip are the starting point position on the special rounded arc at the tooth tip, the position at the tooth tip, and any point on the special rounded arc at the tooth tip; The coordinates of the three positions are respectively set as (Δy, d). y / 2), (Δa, d) a / 2), (Δk, d) k / 2), the special rounded bulge amount of the tooth tip 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 special fillet arc at the tooth tip, Δy is the modification amount at the starting point of the special fillet arc at the tooth tip, and d is the diameter at the starting point of the special fillet arc at the tooth tip. 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 let Δk be the amount of shaping at any point on the special rounded arc at the tooth tip. Step S4: Based on the special rounded bulge amount of the tooth tip The starting point and modification amount of the special rounded arc on the tooth tip, and the ending point and modification amount of the special rounded arc on the tooth tip are ground using a gear grinding machine to perform special rounded teeth on the involute cylindrical gear.

2. The gear grinding method according to claim 1, characterized in that: Step S1 includes the following steps: Step S101: Determine the base circle radius r of the gear based on the involute principle and basic gear parameters. b ; Step S102: 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 S101, 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 S102, 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, any point on the special rounded arc of the tooth tip is a point on the involute line located in the middle of the rounded arc.

6. The gear grinding method according to any one of claims 1 to 4, characterized in that: In step S2, drawing and measurement are performed using drawing software.

7. A grinding system for special rounding of the tooth tip of an involute cylindrical gear, used to perform the grinding method for special rounding of the tooth tip of an involute cylindrical gear as described in any one of claims 1 to 6, characterized in that: include: The first acquisition and drawing module is used to determine the tooth profile drawing parameters based on the involute principle and the basic parameters of gears; The second drawing and measurement module is used to draw a standard involute based on the tooth profile drawing parameters, draw a modified tooth profile based on the involute modification requirements and the special rounding requirements of the tooth tip, and measure the modification amount at at least three positions on the special rounding arc of the tooth tip. The third data processing module is used to expand the tooth tip's special rounded arc and establish a coordinate system based on at least three positions and the amount of modification on the arc. It then determines the coordinates of the three positions, fits the elongation modification amount into an approximate arc, and calculates the tooth tip's special rounded bulge amount based on this approximate arc. ; The fourth machining module is used to determine the specific rounding and bulging amount of the tooth tip. The starting point and modification amount of the special rounded arc on the tooth tip, and the ending point and modification amount of the special rounded arc on the tooth tip are ground using a gear grinding machine to perform special rounded teeth on the involute cylindrical gear.

8. 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 special rounding of the tooth tip of an involute cylindrical gear as described in any one of claims 1 to 6.

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