Methods for evaluating the smoothness of a gear tooth profile and methods for modifying a gear tooth profile

Abstract

Method for evaluating the smoothness of a gear tooth profile, characterized in that the method comprises the following steps: - Obtaining (S110, S210) an outer profile curve of the gear tooth to be measured, wherein the outer profile curve comprises a top curve and a side curve, wherein the side curve is formed by connecting a plurality of tooth profile curves, wherein the plurality of tooth profile curves comprises an original tooth profile curve (10) and at least one modified tooth profile curve (20), - Determine (S120, S220) a first reference point (A) and a second reference point (B), wherein the first reference point (A) and the second reference point (B) each lie on two adjacent tooth profile curves (10, 20), - Determining (S130, S230) a reference circle (30) with a predefined radius, wherein the center point (O) of the reference circle (30) lies on a line passing through an intersection point (F) of two adjacent tooth profile curves (10, 20) and perpendicular to the connecting line of the first reference point (A) and the second reference point (B), wherein the intersection point (F) lies on the reference circle (30), and - if the distance from the first reference point (A) or the second reference point (B) to the center point (O) of the reference circle (30) is greater than or equal to the radius of the reference circle (30), the smoothness of the gear tooth to be measured is judged to meet the requirements (S140, S240).

Description

Technical field:

[0001] The present invention relates to the field of machining technology and in particular to a method for evaluating the smoothness of a gear tooth profile and a method for modifying a gear tooth profile. Technical background:

[0002] Gears inevitably experience stress shocks during tooth meshing, load mutation, speed fluctuations, and varying vibration patterns and frequencies during transmission. These factors reduce transmission accuracy, shorten service life, decrease load-carrying capacity, and increase vibration and noise. Therefore, the gear tooth profile must be modified to reduce stress shocks during tooth meshing and improve transmission stability.

[0003] Gear tooth profile modification refers to altering the involute near the top surface of the meshing gear teeth to compensate for machining errors and elastic deformation, and to avoid or reduce stress shocks during engagement. A variety of profile modification curves are available for this purpose. However, a smooth transition at the intersection of the original and modified profiles cannot be guaranteed.

[0004] CN 1 03 821 905 A discloses a method for modifying the tooth profile of an involute gear. The method is characterized in that a profile shift is performed on a meshing drive gear and a driven gear such that the tooth surface and the profile shift of a gear transition along a shaped shift curve. The shift curve is tangential to an unmodified involute of the tooth surface and the profile shift, and the smooth transition of the tooth surface and the smooth transition of the shift curve and the profile shift are ensured, thus improving contact deformation and contact stress during the engagement and disengagement of gear teeth.

[0005] Furthermore, there is currently no reliable way to control the smoothness of the gear tooth profile during the design phase. Therefore, after modifications to the gear tooth profile, the resulting tooth profile is susceptible to insufficient smoothness, leading to loud noise and poor transmission stability. Content of the invention:

[0006] The present invention provides a method for evaluating the smoothness of a gear tooth profile and a method for modifying a gear tooth profile.

[0007] A method for evaluating the smoothness of a gear tooth profile, wherein the method comprises the following steps: - Obtaining an outer profile curve of the gear tooth to be measured, wherein the outer profile curve comprises a top curve and a side curve, wherein the side curve is formed by combining a plurality of tooth profile curves, wherein the plurality of tooth profile curves comprises an original tooth profile curve and at least one modified tooth profile curve, - Determining a first reference point and a second reference point, wherein the first reference point and the second reference point each lie on two adjacent tooth profile curves, - Determining a reference circle with a predefined radius, wherein the center of the reference circle lies on a line passing through an intersection of two adjacent tooth profile curves and perpendicular to the connecting line of the first reference point and the second reference point, the intersection point lying on the reference circle, and - if the distance from the first reference point or the second reference point to the center of the reference circle is greater than or equal to the radius of the reference circle, the smoothness of the gear tooth to be measured is judged to meet the requirements.

[0008] A method for modifying a gear tooth profile, wherein the method comprises the following steps: - the above-mentioned method for evaluating the smoothness of a gear tooth profile, - Modifying the modified tooth profile curve if the distance from the first or second reference point to the center of the circle is smaller than the radius of the reference circle, in order to reduce the extent of the modification. - Repeat the procedure for evaluating the smoothness of a gear tooth profile until the smoothness of the gear tooth being measured meets the requirements.

[0009] A computer device comprising a memory and a processor, wherein the memory stores a computer program, characterized in that the processor performs the steps of one of the methods described above when executing the computer program.

[0010] A computer-readable storage medium on which a computer program is stored, characterized in that the computer program, when executed by the processor, performs the process steps of one of the methods described above.

[0011] The exemplary embodiments are illustrated in the following figures and descriptions. Other features, subject matter and advantages of the invention will become apparent from the description, the figures and the claims. Images: Fig. Figure 1 is a flowchart of a method for evaluating the smoothness of a gear tooth profile according to a preferred embodiment of the present invention. Fig. Figure 2 is a flowchart of a method for modifying a gear tooth profile according to a preferred embodiment of the present invention. Fig. Figure 3 is a scene simulation diagram of an implementation of a method for evaluating the smoothness of a gear tooth profile according to the present invention. Fig. Figure 4 is a scene simulation diagram of an implementation of a method for modifying a gear tooth profile according to the present invention. Examples of implementation:

[0012] To facilitate a better understanding of the present invention, it is described in more detail below with reference to the corresponding figures. The figures show preferred embodiments of the present invention. However, the present invention can be implemented in many different forms and is not limited to the embodiments described here. Rather, the purpose of providing these embodiments is to enable a more thorough and comprehensive understanding of the disclosure of the present invention.

[0013] It should be noted that when a component is said to be "firmly connected" to another component, it may be directly attached to that component, or there may be intermediate components. Similarly, when an element is said to be "connected" to another element, it may be directly connected to that element, or there may be intermediate elements. The terms "vertical," "horizontal," "left," "right," and similar expressions are used here for illustrative purposes only.

[0014] Unless otherwise defined, all technical and scientific terms used herein have the same meaning as they are normally understood by a person skilled in the art in the technical field of the present invention. The terms used here in the description of the invention are used only to describe certain embodiments and are not intended to limit the invention. The term "and / or," as used herein, includes all combinations of one or more related items listed.

[0015] With regard to the Fig. 1 and Fig. 3 The present invention presents a method for evaluating the smoothness of a gear tooth profile, wherein the method comprises steps S110 to S140: Step S110: Obtaining an outer profile curve of the gear tooth to be measured, wherein the outer profile curve comprises a top curve and a side curve, wherein the side curve is formed by connecting a plurality of tooth profile curves, wherein the plurality of tooth profile curves comprises an original tooth profile curve 10 and at least one modified tooth profile curve 20.

[0016] Specifically, each gear consists of several gear teeth with the same surface profile. Therefore, it is sufficient to assess the smoothness of the tooth profile of any single gear tooth. For this assessment, the outer profile curve of the gear tooth is considered a two-dimensional curve, i.e., the profile of the end section. The upper curve is generally curved, and the side curves are two symmetrically distributed and connected to the ends of the upper curve.

[0017] The original tooth profile curve 10 refers to the contour line of the original tooth design, while the modified tooth profile curve 20 is the new contour line obtained by redesigning the part of the tooth near the surface. Furthermore, both the original tooth profile curve 10 and the modified tooth profile curve 20 are known curves (the equation of the curve is known).

[0018] There can be one or more modified tooth profile curves 20. If more than one modified tooth profile curve 20 is present, the smoothness between the original tooth profile curve 10 and the adjacent modified tooth profile curve 20, as well as the smoothness between the two adjacent modified tooth profile curves 20, is evaluated. At this point, the method described above for evaluating the smoothness of the gear tooth profile must be performed several times, and if any of these evaluations fail to meet the requirements, the smoothness of the gear tooth, which is to be measured as described above, will not meet the requirements. For clarity, this example is presented only for the case with one modified tooth profile curve 20.

[0019] It should be noted that the above method can be implemented either by a computer program or manually. Therefore, the path to obtaining the outer profile curve comprises two types: One involves first collecting the image information of the outer profile curve using the image acquisition module, quantifying the image information, and finally obtaining the quantified data information of the outer profile curve for processing by the computer program. The other involves obtaining the outer profile curve through manual mapping.

[0020] Step S120: Determining a first reference point A and a second reference point B, where the first reference point A and the second reference point B each lie on two adjacent tooth profile curves.

[0021] Specifically, in this example, the two adjacent tooth profile curves refer to the original tooth profile curve 10 and the modified tooth profile curve 20, such that the first reference point A and the second reference point B are any two points on the original tooth profile curve 10 and the modified tooth profile curve 20, selected according to the preset rule. Therefore, the first reference point A and the second reference point B lie on either side of the intersection point F of the original tooth profile curve 10 and the modified tooth profile curve 20. The distances between the first reference point A and the second reference point B and the intersection point F can be equal or unequal.

[0022] The first reference point A and the second reference point B serve as reference points to determine whether the transition between the original tooth profile curve 10 and the modified tooth profile curve 20 is smooth and thus whether the smoothness of the gear teeth to be measured meets the requirements.

[0023] In this embodiment, step S120 described above comprises the following steps: obtaining an intersecting projection point of the intersection point F on an axis of symmetry L of the gear tooth to be measured, wherein the axis of symmetry L passes through the upper curve and divides it evenly; selecting a reference projection point on each side of the intersecting projection point at a predetermined distance L from the intersecting projection point; and projecting the two reference projection points onto the two adjacent tooth profile curves (the original tooth profile curve 10 and the modified tooth profile curve 20 in this embodiment) to obtain the first reference point A and the second reference point B.

[0024] Specifically, the axis of symmetry L runs through the center of the gear where the teeth of the gear tooth to be measured are located. The axis of symmetry L passes through the upper surface of the gear tooth being measured and divides the upper curve evenly. At this point, the distances from the first reference point A and the second reference point B to the intersection point F are equal, which helps to improve the accuracy of the smoothness assessment. In this particular example, the preset distance is 0.1 mm.

[0025] It should be noted that in other embodiments, the determination of the first reference point A and the second reference point B can also be carried out in other ways. For example, the direct specification of two points on the original tooth profile curve 10 and the modified tooth profile curve 20, which are spaced at preset lengths from the intersection point F, can also serve as reference points.

[0026] Step S130: Determining a reference circle 30 with a predefined radius, wherein the center O of the reference circle 30 lies on a line passing through an intersection point F of two adjacent tooth profile curves and perpendicular to the connecting line of the first reference point A and the second reference point B, wherein the intersection point F lies on the reference circle 30.

[0027] To assess the smoothness of the tooth being measured, it is assumed that there is a rolling circle 40 that rolls on the inside of the outer profile curve. If the rolling circle 40 always matches the outer profile curve during rolling (including the intersection point F), the gear tooth being measured exhibits high smoothness, and the transition between the two adjacent tooth profile curves (i.e., in this example, the original tooth profile curve 10 and the modified tooth profile curve 20) is smooth. However, the gear teeth are rigid structures, so it is not possible to use a fixed rolling circle 40 for rolling. Therefore, it is necessary to design a virtual reference circle 30. Furthermore, by simulating the state of this reference circle 30 when it is tangent to the intersection point F, it can be verified whether the rolling circle 40 can touch the intersection point F while rolling along the inside of the outer profile curve.

[0028] Specifically, the center point O and the length of the radius of the reference circle 30 are first determined, whereby the length of the radius can be a preset value and can be adjusted depending on the situation. In this embodiment, the radius of the reference circle lies between 0.3 mm and 1.5 mm. Furthermore, the radius of the reference circle is 0.8 mm.

[0029] The procedure for determining the center point O consists of: connecting the first reference point A and the second reference point B to obtain a connecting line; drawing a line from the intersection point F, perpendicular to this connecting line; extending this vertical line to a point such that the distance between this point and the intersection point F is equal to the radius of the reference circle 30; and at this point, the end of the extension of the aforementioned vertical line can be used as the center point O of the reference circle 30.

[0030] Thus, the intersection point F lies on the reference circle 30, and the line connecting the center point O and the intersection point F is one of the radii of the reference circle 30. Furthermore, the resulting reference circle 30 is tangential to the intersection point F. The radius of this reference circle 30 is equal to the radius of the rolling circle 40, which is assumed to roll along the inside of the outer profile curve. That is, if the rolling circle 40 can be tangential to the intersection point F during rolling, its state at the intersection point F is the same as the state in which the reference circle 30 is tangential to the intersection point F.

[0031] In this embodiment, the radius of the reference circle 30 is greater than the length of the connecting line between the first reference point A and the second reference point B.

[0032] This setting avoids the large distance between the first reference point A and the second reference point B, which can negatively affect the accuracy and precision of the evaluation results.

[0033] Step S140: If the distance from the first reference point A or the second reference point B to the center of the reference circle is greater than or equal to the radius of the reference circle, the smoothness of the gear tooth to be measured is judged to meet the requirements.

[0034] Specifically, the radius of the reference circle 30 is the distance from the center O of the circle to the intersection point F. If the distance from the first reference point A or the second reference point B to the center of the circle is greater than the radius of the reference circle 30, this means that the rolling circle 40 can be rolled into a state that overlaps the reference circle 30, and the first reference point A and the second reference point B do not cause any boundary of the rolling circle 40; that is, the rolling circle 40 can be tangential to the intersection point F. Therefore, it can be assessed whether the smoothness of the gear tooth to be measured meets the requirements.

[0035] However, if the distance between at least one of the first reference points A and the second reference point B and the center of the reference circle is less than the radius of the reference circle 30, this means that the rolling circle 40 is bounded by the first reference point A or the second reference point B before it rolls to the intersection point F. Therefore, the rolling circle 40 cannot pass tangentially through the intersection point F, and the rolling circle 40 cannot touch the intersection point F during the rolling process. At this point, the transition between the two adjacent tooth profile curves (i.e., the original tooth profile curve 10 and the modified tooth profile curve 20 in this embodiment) is not smooth, so the smoothness of the gear tooth to be measured does not meet the requirements.

[0036] First, the first reference point A, the second reference point B, and the reference circle 30 are determined, and a state is reached in which the reference circle 30 is tangential to the intersection point F. Furthermore, it is assumed that there is a rolling circle 40 that can be rolled on the inside of the outer profile curve in the same way as the reference circle 30. If the distance from the first reference point A or the second reference point B to the center of the reference circle is greater than the radius of the reference circle 30, the rolling circle 40 is tangential to the intersection point F when it passes through the position of the intersection point F. This indicates that the transition between the original tooth profile curve 10 and the modified tooth profile curve 20 is smooth, and the rolling circle 40 can pass smoothly through the intersection point F, allowing the smoothness of the gear teeth to be accurately assessed.

[0037] Furthermore, by adjusting the length of the radius of the reference circle 30, the smoothness between the gear teeth can also be compared for different forming requirements. More precisely, the larger the radius of the reference circle 30, the smoother the arc of the reference circle 30, and the smaller the radius, the steeper the arc of the reference circle 30. If the radius of the reference circle 30 corresponding to the first gear tooth is larger than the radius of the reference circle 30 corresponding to the second gear tooth, this means that the smoothness of the first gear tooth is greater.

[0038] Furthermore, before comparing the distances between the first reference point A, the second reference point B and the center of the reference circle with the radius of the reference circle 30, the distances between the first reference point A, the second reference point B and the center of the circle must also be determined.

[0039] Before step S140, the following steps are still present: Obtaining the coordinate values ​​of the intersection point F, the first reference point A, the second reference point B and the center O of the circle in a predefined coordinate system, and obtaining the distance between the first reference point A and the center of the circle and the distance between the second reference point B and the center of the circle according to the coordinate values.

[0040] There are several ways to obtain the distances from the first reference point A or the second reference point B to the center of the circle. The method chosen for this example is to determine the distance based on the coordinate values ​​of each point in the coordinate system. Since the equation of the curves of the original tooth profile 10 and the modified tooth profile 20, as well as the radius of the reference circle 30, are known, the coordinate values ​​of each point can also be determined.

[0041] The procedure for obtaining the distances between the first reference point A, the second reference point B and the center of the circle is as follows: 1. Obtaining the slope of the connecting line AB: KAB= (yb-ya) / (xb-xa), where (xa, ya) and (xb, yb) are the coordinate values ​​of points A and B, respectively. 2. Obtaining the slope of the line segment perpendicular to the connecting line AB: KOF = (xa - xb) / (yb - ya), where there is another way to express the slope of the line segment OF: KOF = (yo - yf) / (xo - xf). Thus, it is calculated that yo - yf = KOF (xo - xf), where (xf, yf) is the coordinate value of the intersection point F. 3. With respect to the radius of the circle 30: R=(xo−xf)2+(yo−yf)2, The coordinates (xo, yo) of the center O of the circle can be determined as follows: xo=xf−R / 1+KOF2,yo=KOF(xo−xf)+yf.

[0042] Furthermore, the distances from point A and point B to the center of circle O are determined: OA=(xo−xa)2+(yo−ya)2 OB=(xo−xa)2+(yo−ya)2

[0043] In the procedure described above for evaluating the smoothness of a gear tooth profile, the first reference point A, the second reference point B, and the reference circle 30 are determined. Since the intersection point F of the original tooth profile curve 10 and the modified tooth profile curve 20 lies on the reference circle 30, the distance from the center O of the reference circle 30 to the intersection point F is equal to the radius of the reference circle 30. Assuming that there is a rolling circle 40 that can be rolled along the inside of the outer profile curve, which is identical to the reference circle 30, if the distance from the first reference point A or the second reference point B to the center of the circle is greater than the radius of the reference circle 30, the rolling circle 40 will be tangential to the intersection point F when it passes through the position of the intersection point F.This indicates that the transition between the two adjacent tooth profile curves is smooth and that the rolling circle 40 can successfully pass through the intersection point F. Therefore, an accurate assessment of the gear tooth smoothness can be carried out using the gear tooth smoothness assessment procedure described above.

[0044] With regard to the Fig. 2 and Fig. 4 The present invention relates to a method for modifying a gear tooth profile, wherein the method comprises steps S210 to S260: Step S210: Obtaining an outer profile curve of the gear tooth to be measured, wherein the outer profile curve comprises a top curve and a side curve, wherein the side curve is formed by connecting a plurality of tooth profile curves, wherein the plurality of tooth profile curves comprises an original tooth profile curve 10 and at least one modified tooth profile curve 20.

[0045] Step S220: Determining a first reference point A and a second reference point B, where the first reference point A and the second reference point B each lie on two adjacent tooth profile curves.

[0046] Step S230: Determining a reference circle 30 with a predefined radius, wherein the center O of the reference circle 30 lies on a line passing through an intersection point F of two adjacent tooth profile curves and perpendicular to the connecting line of the first reference point A and the second reference point B, wherein the intersection point F lies on the reference circle 30.

[0047] Step S240: If the distance from the first reference point A or the second reference point B to the center of the reference circle is greater than or equal to the radius of the reference circle, the smoothness of the gear tooth to be measured is judged to meet the requirements.

[0048] The above steps S210 to S240 are carried out in the same way as the above procedures for evaluating the smoothness of the gear tooth profile and are therefore not repeated here.

[0049] Step S250: Modify the modified tooth profile curve 20 if the distance from the first reference point A or the second reference point B to the center of the circle is less than the radius of the reference circle 30 in order to reduce the extent of the modification.

[0050] As described above, if the distance between the first reference point A or the second reference point B and the center of the circle is less than the radius of the reference circle 30, the smoothness of the surface to be measured for gear teeth does not meet the requirements. Therefore, an adjustment of the modified tooth profile curve 20 is necessary. The purpose of the adjustment is to reduce the extent of the modification so that the transition between the original curve 10 and the modified curve 50 is smoother.

[0051] Specifically, in this embodiment, the above step is as follows: a new modified tooth profile curve 50 is selected from the database of predefined modified curves to replace the modified tooth profile curve 20.

[0052] The database of predefined modified curves contains a large number of modified curves that meet the requirements for modifying the gear tooth profile. Therefore, when modifying a tooth profile curve 20, it is more efficient to replace it with a suitable modified curve from the existing database without recalculating it.

[0053] Step S260: Repeat the procedure for evaluating the smoothness of a gear tooth profile until the smoothness of the gear tooth being measured meets the requirements.

[0054] Specifically, after modifying the modified tooth profile curve 20, the same process is repeated in step S210 to re-evaluate the new outer profile curve of the gear tooth. If the smoothness still does not meet the requirements after this evaluation, the new modified tooth profile curve 50 must be modified again. After several repetitions, a new modified tooth profile curve is obtained that fulfills both the requirements for the modification of the gear tooth and for smoothness.

[0055] In the above-described method for modifying a gear tooth profile, the smoothness of the gear tooth profile is first evaluated using the gear tooth profile smoothness evaluation procedure. If the smoothness of the gear tooth profile does not meet the requirements, the modified tooth profile curve 20 is modified to reduce the extent of the modification. After the extent of the modification has been reduced, the transition between the new modified tooth profile curve 50 and the adjacent tooth profile curve is smoother. The smoothness of the gear tooth profile is then evaluated again using the gear tooth smoothness evaluation procedure to determine whether the smoothness of the gear tooth meets the requirements. After several iterations of the process, a modified tooth profile curve is finally obtained that adjusts the smoothness of the gear tooth to the required standard.Therefore, the smoothness of the gear tooth profile can be effectively improved by the above method for modifying a gear tooth profile.

[0056] Furthermore, the present invention relates to a computer device comprising a memory and a processor, wherein the memory stores a computer program. The processor executes the steps of the method for evaluating the smoothness of a gear tooth profile or the steps of the method for modifying a gear tooth profile.

[0057] Furthermore, the present invention relates to a computer-readable storage medium on which a computer program is stored. When executed by the processor, the computer program performs the steps of the method for evaluating the smoothness of a gear tooth profile or the steps of the method for modifying a gear tooth profile.

[0058] All possible combinations of the various technical features of the above-mentioned embodiments can be implemented in any combination, and for the sake of brevity, not all possible combinations of the various technical features of the above-mentioned embodiments have been described. However, as long as there are no contradictions in the combinations of these technical features, they should be considered to fall within the scope of this description.

[0059] The exemplary embodiments described above represent only a few of the invention's configurations, which are described in more detail and specific terms, but are not to be understood as limiting the scope of the invention. It should be noted that, for a person skilled in the art, a number of modifications and improvements can be made without deviating from the concept of the invention, and these remain within the scope of protection of the invention. Therefore, the scope of protection of the patent for the invention is governed by the accompanying claims.

Claims

[1] Method for evaluating the smoothness of a gear tooth profile, characterized by that the procedure includes the following steps: - Obtaining (S110, S210) an outer profile curve of the gear tooth to be measured, wherein the outer profile curve comprises a top curve and a side curve, wherein the side curve is formed by connecting a plurality of tooth profile curves, wherein the plurality of tooth profile curves comprises an original tooth profile curve (10) and at least one modified tooth profile curve (20), - Determine (S120, S220) a first reference point (A) and a second reference point (B), wherein the first reference point (A) and the second reference point (B) each lie on two adjacent tooth profile curves (10, 20), - Determining (S130, S230) a reference circle (30) with a predefined radius, wherein the center point (O) of the reference circle (30) lies on a line passing through an intersection point (F) of two adjacent tooth profile curves (10, 20) and perpendicular to the connecting line of the first reference point (A) and the second reference point (B), wherein the intersection point (F) lies on the reference circle (30), and - if the distance from the first reference point (A) or the second reference point (B) to the center point (O) of the reference circle (30) is greater than or equal to the radius of the reference circle (30), the smoothness of the gear tooth to be measured is judged to meet the requirements (S140, S240). [2] Method for evaluating the smoothness of a gear tooth profile according to claim 1, characterized by, that the steps of determining (S120, S220) the first reference point (A) and the second reference point (B), wherein the first reference point (A) and the second reference point (B) each lie on two adjacent tooth profile curves (10, 20), comprise: - Obtaining an intersecting projection point of the intersection point (F) on an axis of symmetry (L) of the gear tooth to be measured, wherein the axis of symmetry (L) passes through the upper curve (10) and divides it uniformly, - Selecting a reference projection point on each side of the intersecting projection point at a predetermined distance from the intersecting projection point, and - Projecting the two reference projection points onto the two adjacent tooth profile curves (10, 20) to obtain the first reference point (A) and the second reference point (B). [3] Method for evaluating the smoothness of a gear tooth profile according to claim 1, characterized by, that the radius of the reference circle (30) is greater than the length of the connecting line between the first reference point (A) and the second reference point (B). [4] Method for evaluating the smoothness of a gear tooth profile according to claim 1, characterized by , that the radius of the reference circle (30) is between 0.3 mm and 1.5 mm. [5] Method for evaluating the smoothness of a gear tooth profile according to claim 4, characterized by , that the radius of the reference circle (30) is 0.8 mm. [6] Method for evaluating the smoothness of a gear tooth profile according to claim 1, characterized by , that before the step of determining (S140, S240) that the smoothness of the gear tooth to be measured meets the requirements if the distance from the first reference point (A) or the second reference point (B) to the center (O) of the circle is greater than or equal to the radius of the reference circle (30), the following steps are present: - Obtaining the coordinate values ​​of the intersection point (F), the first reference point (A), the second reference point (B) and the center (O) of the circle (30) in a predefined coordinate system, and obtaining the distance between the first reference point (A) and the center (O) of the circle (30) and the distance between the second reference point (B) and the center (O) of the circle (30) according to the coordinate values. [7] Method for modifying a gear tooth profile, characterized by that the procedure includes the following steps: - Method for evaluating the smoothness of a gear tooth profile according to one of claims 1 to 6, - Modify (S250) the modified tooth profile curve (20) if the distance from the first reference point (A) or the second reference point (B) to the center point (O) of the circle (30) is less than the radius of the reference circle (30) in order to reduce the extent of the modification, - Repeat the procedure for evaluating the smoothness of a gear tooth profile until the smoothness of the gear tooth being measured meets the requirements. [8] Method for modifying a gear tooth profile according to claim 7, characterized by , that the specific step of modifying (S250) the modified tooth profile curve (20) when the distance from the first reference point (A) or the second reference point (B) to the center point (O) of the circle (30) is less than the radius of the reference circle (30) in order to reduce the extent of the modification is to select a new modified tooth profile curve (50) from the database of predefined modified curves to replace the modified tooth profile curve. [9] Computer device comprising a memory and a processor, wherein the memory stores a computer program, characterized bythat the processor performs the steps of the method according to one of claims 1 to 8 during the execution of the computer program. [10] Computer-readable storage medium on which a computer program is stored, characterized by that the computer program, when executed by the processor, performs the process steps of the method according to any one of claims 1 to 8.

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