A method for correcting process deviations in worm gear grinding wheel dressing for face gear grinding

Abstract

This invention provides a method for correcting process deviations in the dressing process of worm gears for face gear grinding, comprising the following steps: obtaining a corrected radial deviation model and a corrected axial deviation model; obtaining the tooth profile error of the left tooth surface and the tooth profile error of the right tooth surface of the face gear; calculating the radial tooth profile error and the axial tooth profile error based on the tooth profile errors of the left and right tooth surfaces; obtaining the radial deviation based on the radial tooth profile error and the corrected radial deviation model, and correcting the target diameter of the worm gear grinding wheel based on the radial deviation to obtain the corrected diameter of the worm gear grinding wheel; obtaining the axial deviation based on the axial tooth profile error and the corrected axial deviation model, and correcting the original position of the worm gear grinding wheel based on the axial deviation to obtain the actual position of the worm gear grinding wheel. This invention can improve the accuracy of the worm gear grinding wheel, reduce the dimensional deviation of the worm gear grinding wheel, and achieve the purpose of precisely controlling the accuracy of the generated face gear.

Description

Technical Field

[0001] This invention belongs to the field of gear inspection technology, specifically relating to a method for correcting deviations in the dressing process of worm grinding wheels for face gear grinding. Background Technology

[0002] Face gears are disc-shaped with teeth located on the tooth surface of the disc, enabling transmission between orthogonal and intersecting axes. Face gears have advantages such as low requirements for axial positioning accuracy, large transmission ratio, high overlap ratio, stable working performance, and reliable load-bearing capacity. Therefore, face gears are receiving increasing attention in the field of mechanical transmission and are gradually replacing bevel gears as an important part of the next generation of advanced helicopter main gearboxes.

[0003] Currently, worm gear grinding machines for face gears are in the experimental stage. The manufacturing precision of the worm grinding wheel directly determines the manufacturing precision of the face gear. Existing technology can already machine complete tooth surfaces, but the precision control of the face gear worm grinding wheel dressing process still needs breakthroughs. Furthermore, in engineering practice, the precision of the worm grinding wheel is not directly measured, making it impossible to assess the precision error of the worm grinding wheel and ensure the precision of the face gear produced using it. Therefore, a method for correcting deviations in the worm grinding wheel dressing process for face gear grinding is needed to improve the precision of the worm grinding wheel, reduce its dimensional deviations, and thus precisely control the precision of the produced face gear. Summary of the Invention

[0004] The present invention aims to solve the technical problems existing in the prior art and provides a method for correcting the deviation of the dressing process of worm grinding wheels for face gear grinding, thereby improving the accuracy of worm grinding wheels, reducing the dimensional deviation of worm grinding wheels, and achieving the purpose of accurately controlling the accuracy of the generated face gears.

[0005] To achieve the above-mentioned objectives of the present invention, according to a first aspect of the present invention, a method for correcting process deviations in worm gear dressing for face gear grinding is provided, comprising the following steps: obtaining a corrected radial deviation model and a corrected axial deviation model; obtaining the tooth profile error of the left tooth surface and the tooth profile error of the right tooth surface of the face gear; calculating the radial tooth profile error and the axial tooth profile error based on the tooth profile error of the left tooth surface and the tooth profile error of the right tooth surface; obtaining the radial deviation based on the radial tooth profile error and the corrected radial deviation model; obtaining the corrected diameter of the worm gear based on the radial deviation and the target diameter of the worm gear; correcting the diameter of the worm gear based on the corrected diameter of the worm gear; obtaining the axial deviation based on the axial tooth profile error and the corrected axial deviation model; obtaining the actual position of the worm gear based on the axial deviation and the original position of the worm gear; and correcting the position of the worm gear based on the actual position of the worm gear.

[0006] Furthermore, the calculation process for radial tooth profile error and axial tooth profile error is as follows: ; ;in, Indicates radial tooth profile error. Indicates axial tooth profile error. This indicates the tooth profile error on the left tooth surface. This indicates the tooth profile error on the right tooth surface.

[0007] Furthermore, the step of correcting the original position of the worm grinding wheel based on the axial deviation to obtain the actual position of the worm grinding wheel specifically includes: offsetting the original position of the worm grinding wheel by the axial deviation distance, compensating for the original tooth profile deviation, and then rotating the worm grinding wheel by the deviation angle on the original phase to obtain the actual position of the worm grinding wheel; deviation angle The calculation process is as follows: ;in, Indicates the rotational compensation angle of the face gear. The number of grinding wheel heads for face gears and worm gears. This refers to the number of teeth on a face gear.

[0008] Furthermore, the worm wheel dressing diameter The acquisition process is as follows: ;in, Indicates the target diameter of the worm gear grinding wheel. Indicates the dressing diameter of the worm gear grinding wheel. This indicates radial deviation.

[0009] Furthermore, the radial deviation model was modified. Specifically as follows: ;in, This represents the normal vector corresponding to a point on the offset tooth surface. Indicates the pressure angle of the face gear; For the tooth surface of a face gear with radial deviation, Involute angle parameters in the tooth profile direction, Indicates radial deviation. This indicates the distance between the axis of the worm gear grinding wheel and the axis of the face gear.

[0010] Furthermore, the axial deviation model was modified. Specifically as follows: ;in, Indicates axial deviation. This indicates the deflection angle of the face gear caused by axial deviation; Involute angle parameters in the tooth profile direction, The equation representing the tooth surface of a face gear with axial deviation; This indicates the distance between the axis of the worm gear grinding wheel and the axis of the face gear at a certain moment.

[0011] Furthermore, the process of obtaining the corrected axial deviation model and the corrected radial deviation model is as follows: obtain the standard tooth surface model, the axial position deviation model, and the radial position deviation model; obtain the face gear tooth surface with axial deviation through the axial position deviation model, and obtain the corrected axial deviation model through the standard tooth surface model and the face gear tooth surface with axial deviation; obtain the face gear tooth surface with radial deviation through the radial position deviation model, and obtain the corrected radial deviation model based on the standard tooth surface model and the face gear tooth surface with radial deviation.

[0012] Furthermore, the standard tooth surface model as follows: ;in, Indicates the base circle radius of the gear shaping cutter. The involute angle parameter representing the tooth profile direction. Indicates the angle of the gear shaping cutter. Indicates the rotation angle of a face gear; , Indicates the middle corner; ; This indicates the transmission ratio between the gear shaper and the face gear; Indicates the half-angle of the tooth groove of the gear shaping cutter; These represent the coordinates of points on the tooth surface of the face gear in the spatial coordinate system.

[0013] Furthermore, the axial position deviation model Specifically as follows: ; Radial position deviation model Specifically as follows: ; ;in, The intermediate equation for axial deviation transformation. This is the intermediate equation for radial deviation transformation. The equation representing the coordinate transformation matrix from the feed wheel to the worm grinding wheel; Indicates radial deviation; Indicates axial deviation. Indicates the angle of the gear shaping cutter. The involute angle parameter representing the tooth profile direction. The equation representing the profile of a standard production wheel.

[0014] Furthermore, the tooth surface of a face gear with axial deviation The acquisition process is as follows: Obtain the axial position deviation model A two-parameter envelope process is performed on the axial position deviation model: ;in, This indicates the gear hobbing cutter rotation angle when there is a positional deviation; This is a two-parameter coordinate transformation equation. The involute angle parameter representing the tooth profile direction. This indicates the angle through which the grinding wheel rotates about its axis at a given moment. This represents the distance between the axis of the worm gear grinding wheel and the axis of the face gear at a certain moment. To represent the axial deviation, the axial position deviation model after encapsulation is used. Eliminate by simultaneously solving the envelope equation and meshing formula and Two parameters are used to obtain the tooth surface of a face gear with axial deviation; the axial meshing formula is as follows: , ,in, Model representing axial position deviation after envelopment; tooth surface of a face gear with radial deviation. The acquisition process is as follows: Obtain the radial position deviation model A two-parameter envelope process is performed on the radial position deviation model: ;in, Representing radial deviation, the radial position deviation model after encapsulation. Eliminate by simultaneously solving the envelope equation and meshing formula and This yields the tooth surface of the face gear with radial deviation; the radial meshing formula is as follows: , ,in, This represents the radial position deviation model after the envelope.

[0015] The technical principle and beneficial effects of this solution are as follows: By measuring the tooth profile error of the left and right tooth surfaces of the face gear, the tooth profile error can be separated into the common tooth profile error and the opposite tooth profile error of the left and right tooth surfaces. The radial tooth profile error can cause the tooth profile error of the left and right tooth surfaces to increase or decrease simultaneously, i.e., the opposite tooth profile error; while the radial tooth profile error can cause the tooth profile error of the left and right tooth surfaces to increase on one side and decrease on the other side, i.e., the shared tooth profile error. Therefore, the radial tooth profile error and the axial tooth profile error can be obtained based on the tooth profile error of the left and right tooth surfaces. The radial tooth profile error and the axial tooth profile error are respectively put into the radial deviation correction model and the axial deviation correction model to obtain the radial deviation and the axial deviation. Based on the radial deviation and the axial deviation, the target diameter and the original position of the worm grinding wheel are corrected to obtain the corrected diameter and the actual position of the worm grinding wheel, thereby reducing the dimensional deviation of the worm grinding wheel, improving the manufacturing accuracy of the worm grinding wheel, and improving the accuracy of the generated face gear. Attached Figure Description

[0016] Figure 1 This is a schematic flowchart of a method for correcting process deviations in worm gear grinding of a face gear according to the present invention;

[0017] Figure 2This invention is a schematic diagram of the tooth profile error correction of the front left tooth surface;

[0018] Figure 3 This is a schematic diagram illustrating the correction of tooth profile error on the front right tooth surface in this invention;

[0019] Figure 4 This invention is a schematic diagram of axial deviation;

[0020] Figure 5 This invention is a schematic diagram of radial deviation;

[0021] Figure 6 This is a schematic diagram of the tooth profile error of the left tooth surface after the present invention.

[0022] Figure 7 This is a schematic diagram of the tooth profile error on the right tooth surface after the present invention. Detailed Implementation

[0023] The embodiments of the present invention are described in detail below. Examples of the embodiments are shown in the accompanying drawings. The embodiments described below with reference to the accompanying drawings are exemplary and are only used to explain the present invention, and should not be construed as limiting the present invention.

[0024] Worm grinding wheels for face gear grinding are used to grind face gears to achieve the required tooth surface accuracy. During the grinding process, many factors, such as the relative position of the worm grinding wheel and the roller, and the size of the worm grinding wheel, will affect the tooth surface accuracy. Therefore, before grinding, the worm grinding wheel needs to be dressed, mainly adjusting its position and diameter, to ensure that the produced face gear meets the required accuracy.

[0025] As attached Figure 1 As shown, the present invention provides a method for correcting process deviations in the dressing process of worm gear grinding wheels for face gear grinding, comprising the following steps:

[0026] Obtain the corrected radial deviation model and the corrected axial deviation model; obtain the tooth profile error of the left tooth surface and the tooth profile error of the right tooth surface of the face gear; calculate the radial tooth profile error and the axial tooth profile error based on the tooth profile error of the left tooth surface and the tooth profile error of the right tooth surface.

[0027] The radial deviation is obtained based on the radial tooth profile error and the corrected radial deviation model. The corrected diameter of the worm wheel is obtained based on the radial deviation and the target diameter of the worm wheel. The diameter of the worm wheel is then corrected based on the corrected diameter of the worm wheel.

[0028] The axial deviation is obtained based on the axial tooth profile error and a corrected axial deviation model. The actual position of the worm wheel is then determined based on the axial deviation and its original position. The position of the worm wheel is then corrected based on its actual position. The corrected worm wheel is then used to produce face gears, thus obtaining face gears with the expected precision.

[0029] In this embodiment, the corrected radial deviation model and the corrected axial deviation model can be obtained empirically from the axial and radial deviations of the worm grinding wheel corresponding to the tooth profile error of the face gear. The tooth profile error is specifically the deviation between the actual gear profile and the theoretical profile. The tooth profile error of the left tooth surface and the tooth profile error of the right tooth surface can be obtained in the following ways: 1) Manually measure the tooth profile error of the left tooth surface and the right tooth surface, and input the measurement results to the corrected radial deviation model and the corrected axial deviation model via the keyboard; 2) Obtain the tooth profile error of the left tooth surface and the right tooth surface of the face gear by reading the memory in the face gear grinding production instrument and transmit it to the corrected radial deviation model and the corrected axial deviation model; 3) Obtain it from the tooth profile error instrument via communication and input it to the corrected radial deviation model and the corrected axial deviation model.

[0030] Since the tooth profile errors of the left and right tooth surfaces can be separated into co-directional tooth profile errors and anti-directional tooth profile errors, and the radial tooth profile error can cause the tooth profile errors of the left and right tooth surfaces to increase or decrease simultaneously (i.e., anti-directional tooth profile errors), and the radial tooth profile error can cause the tooth profile errors of the left and right tooth surfaces to increase on one side and decrease on the other (i.e., shared tooth profile errors), the radial tooth profile error and axial tooth profile error can be obtained based on the tooth profile errors of the left and right tooth surfaces. The axial tooth profile error and radial tooth profile error are respectively put into the corrected axial deviation model and the corrected radial deviation model to obtain the axial deviation and radial deviation of the worm grinding wheel. The position and diameter of the worm grinding wheel are corrected based on the axial deviation and radial deviation.

[0031] Specifically, since axial deviation causes phase deviation and changes in the position of the maximum outer diameter of the worm grinding wheel, in order to ensure that the outermost diameter of the worm grinding wheel changes synchronously with the center of the compensated worm grinding wheel, and to solve the problems of grinding wheel interference and large depth of cut, the relative relationship between the worm grinding wheel and the roller should be changed simultaneously. Therefore, in this embodiment, the step of correcting the original position of the worm grinding wheel according to the axial deviation to obtain the actual position of the worm grinding wheel specifically includes:

[0032] The worm wheel is offset from its original position by the axial deviation distance, and the original tooth profile deviation is compensated. The worm wheel is then rotated by the deviation angle at the original phase to obtain the actual position of the worm wheel. At the same time, the linkage relationship needs to be adjusted to compensate for the original tooth profile deviation by increasing the axial dimension in the linkage relationship by the axial deviation value.

[0033] In this embodiment, since the axial deviation of the worm gear grinding wheel will cause the face gear to deflect at an angle, in order to facilitate comparison with the standard tooth surface model, the relationship between the offset of the geometric center of the rolling profile and the rotation of the geometric center of the rolling profile around the center of the forming wheel is established. , ,in, Represents the position of the roller in the spatial coordinate system axis coordinate values, Represents the position of the roller in the spatial coordinate system Axis coordinate values; Used to calculate the rotational compensation angle of the face gear, and the deviation angle is calculated from the rotational compensation angle of the face gear.

[0034] Specifically, the deviation angle The calculation process is as follows: ;in, Indicates the rotational compensation angle of the face gear. The number of grinding wheel heads for face gears and worm gears. This refers to the number of teeth on the face gear. The face gear rotation compensation angle. The calculation process is as follows: ,in, This indicates the transmission ratio between the gear shaper and the face gear. This indicates axial deviation.

[0035] Specifically, the correction process for the target diameter of the worm wheel based on the radial deviation is as follows:

[0036]

[0037] in, Indicates the target diameter of the worm gear grinding wheel. Indicates the dressing diameter of the worm gear grinding wheel. This indicates radial deviation.

[0038] In this embodiment, during the correction of the target diameter of the grinding wheel, the radial deviation is only used to correct the target diameter of the grinding wheel, while the helix used by the worm grinding wheel is still adjusted according to the linkage relationship of the target diameter position of the worm grinding wheel. The radial and axial deviation correction processes of the worm grinding wheel of the face gear do not affect each other. During the correction process, the correction and compensation of both deviations can be completed simultaneously. After the compensation is completed in combination with the actual measured tooth profile error of the face gear, the worm grinding wheel is corrected again and the grinding of the face gear begins.

[0039] Specifically, the calculation process for radial tooth profile error and axial tooth profile error is as follows:

[0040]

[0041]

[0042] in, Indicates radial tooth profile error. Indicates axial tooth profile error. This indicates the tooth profile error on the left tooth surface. This indicates the tooth profile error on the right tooth surface.

[0043] To ensure the accuracy of the results from the corrected radial deviation model and the corrected axial deviation model, this embodiment establishes model formulas to output the radial deviation and axial deviation; the corrected radial deviation model... Specifically as follows:

[0044] ;

[0045] in, This represents the normal vector corresponding to a point on the offset tooth surface. Indicates the pressure angle of the face gear; For the tooth surface of a face gear with radial deviation, Involute angle parameters in the tooth profile direction, Indicates radial deviation. This indicates the distance between the axis of the worm gear grinding wheel and the axis of the face gear.

[0046] By comparing the modified radial deviation model with the standard tooth surface model, it can be seen that the radial deviation mainly affects the tooth profile accuracy of the face gear, but does not affect the tooth direction error. Furthermore, the tooth profile error changes along the same trend on the left and right tooth surfaces of the face gear. Using the difference between the maximum and minimum tooth profile errors as a reference value based on the modified radial deviation model, and taking multiple sets of radial deviations, it can be seen that the difference between the maximum and minimum tooth profile errors exhibits an approximately linear trend with the radial deviation.

[0047] Corrected axial deviation model Specifically as follows:

[0048] ;

[0049] in, Indicates axial deviation. This indicates the deflection angle of the face gear caused by axial deviation; Involute angle parameters in the tooth profile direction, The equation representing the tooth surface of a face gear with axial deviation; This indicates the distance between the axis of the worm gear grinding wheel and the axis of the face gear at a certain moment.

[0050] By comparing the modified axial deviation model with the standard tooth surface model, it was found that the axial deviation of the worm grinding wheel mainly affects the tooth profile accuracy of the left and right tooth surfaces of the face gear, but does not cause tooth direction error in the face gear, and the tooth profile errors of the left and right tooth surfaces are exactly opposite. Taking the difference between the maximum and minimum tooth profile errors, and simultaneously taking multiple sets of axial deviations, it can be seen that the difference between the maximum and minimum tooth profile errors shows a linear trend with the axial deviation.

[0051] In this embodiment, the process of establishing the corrected axial deviation model and the corrected radial deviation model is as follows: obtaining the standard tooth surface model, the axial position deviation model, and the radial position deviation model;

[0052] The tooth surface of the face gear with axial deviation is obtained by using the axial position deviation model. The corrected axial deviation model is obtained by using the standard tooth surface model and the tooth surface of the face gear with axial deviation. Specifically, by comparing the standard tooth surface model, the axial deviation of the worm grinding wheel causes a phase deviation between the worm grinding wheel and the face gear, and a corrected axial deviation model is established.

[0053] A radially deviated face gear tooth surface is obtained through a radial position deviation model. A corrected radial deviation model is then obtained based on the standard tooth surface model and the face gear tooth surface with radial deviation. Specifically, by comparing with the standard tooth surface model, a corrected radial deviation model is established based on the deviation between the face gear tooth surface and the standard tooth surface on the Z-axis caused by the radial deviation of the worm grinding wheel.

[0054] In this embodiment, a standard tooth surface model is obtained based on the single-parameter inclusion principle. as follows:

[0055]

[0056] in, ; ; Indicates the base circle radius of the gear shaping cutter. The involute angle parameter representing the tooth profile direction. Indicates the angle of the gear shaping cutter. Indicates the rotation angle of the face gear. Indicates the middle corner; This indicates the transmission ratio between the gear shaper and the face gear; Indicates the half-angle of the tooth groove of the gear shaping cutter; These represent the coordinates of points on the tooth surface of the face gear in the spatial coordinate system. This indicates that when the point is located on the right tooth face of the face gear, When the point is located on the left tooth surface of the face gear, .

[0057] In this embodiment, when there is an axial position deviation of the worm grinding wheel... At that time, it can be equivalent to the roller producing The deviation, therefore the axial position deviation model Specifically as follows:

[0058] ;

[0059] ;

[0060] in, The intermediate equation for axial deviation transformation. The equation representing the coordinate transformation matrix from the feed wheel to the worm grinding wheel; Indicates axial deviation. Indicates the angle of the gear shaping cutter. The involute angle parameter representing the tooth profile direction. The equation representing the profile of a standard production wheel.

[0061] In this embodiment, the radial position deviation of the worm grinding wheel is the deviation between the actual tool post rotation center and the theoretical tool post rotation center along the radial height direction of the worm grinding wheel. Therefore, the actual axial deviation of the worm grinding wheel is... This can be equivalent to the production of a roller. Deviation. Therefore, the radial position deviation model Specifically as follows:

[0062] ;

[0063] ;

[0064] in, This is the intermediate equation for radial deviation transformation. The equation representing the coordinate transformation matrix from the feed wheel to the worm grinding wheel; Indicates radial deviation; Indicates the angle of the gear shaping cutter. The involute angle parameter representing the tooth profile direction. The equation representing the profile of a standard production wheel.

[0065] Face gear tooth surface with axial deviation The acquisition process is as follows:

[0066] Obtaining the axial position deviation model A two-parameter envelope process is performed on the axial position deviation model: ;in, This indicates the gear hobbing cutter rotation angle when there is a positional deviation; This is a two-parameter coordinate transformation equation. The involute angle parameter representing the tooth profile direction. This indicates the angle through which the grinding wheel rotates about its axis at a given moment. This represents the distance between the axis of the worm gear grinding wheel and the axis of the face gear at a certain moment. Indicates axial deviation. Represents the axial position deviation model after envelopment; [This refers to the axial position deviation model after envelopment] Eliminate by simultaneously solving the envelope equation and meshing formula and Two parameters are used to obtain the tooth surface of a face gear with axial deviation;

[0067] Face gear tooth surface with radial deviation The acquisition process is as follows:

[0068] Obtaining the radial position deviation model A two-parameter envelope process is performed on the radial position deviation model: ;in, Indicates radial deviation. Represent the radial position deviation model after envelopment; [This refers to the radial position deviation model after envelopment] Eliminate by simultaneously solving the envelope equation and meshing formula and To obtain a face gear tooth surface with radial deviation;

[0069] Specifically, the meshing formula is as follows: , .

[0070] The specific implementation process is as follows:

[0071] This invention relates to a method for correcting deviations in the worm wheel forming and dressing process for face gear grinding. Using face gears as the dressing object, it improves the worm wheel forming design theory and avoids tooth surface machining errors caused by worm wheel positional deviations. This paper will use the design parameters in the table below as examples for calculation, and will further describe the invention in detail with reference to the accompanying drawings and specific embodiments.

[0072] Table 1. Basic parameters of face gears and the worm grinding wheels used thereon

[0073]

[0074] Table 2 Results of Tooth Profile Error Processing

[0075]

[0076] After separating the tooth profile error measurement results of the face gear, tooth profile error diagrams of the left and right tooth surfaces are obtained, as shown in the figure. Figure 2 and Figure 3 As shown, based on the tooth profile errors of the separated left and right tooth surfaces in Table 2, calculate the radial tooth profile error and the axial tooth profile error:

[0077] ;

[0078] ;

[0079] in, Indicates the first in Table 2 The tooth profile deviation corresponding to the column;

[0080] Construct a face gear deviation model diagram based on the face gear parameters in Table 1. The results are as follows: Figure 4 and Figure 5 As shown, from Figure 5It can be obtained that when the radial tooth profile error is 0.083 mm, the corresponding radial deviation value is 0.0241 mm. Figure 4 It can be obtained that when the axial tooth profile error is 0.0436mm, the corresponding axial deviation is 0.264mm. The axial deviation and radial deviation are compensated and integrated into the worm grinding wheel according to the correction method described in this embodiment. The machining action program of the modified worm grinding wheel is directly realized through the axial deviation and radial deviation, and the continuous dressing amount is automatically recommended.

[0081] The trimmed face gear was then measured, and the measured tooth surface data was processed. The measured tooth profile error results are as follows: Figure 6 and Figure 7 As shown. From Figure 6 It can be seen that the tooth profile error of the left tooth surface of the face gear has been compensated from 0.0519mm before compensation to a maximum error of 0.003905mm and a minimum error of -0.00403mm; from Figure 7 As can be seen, the tooth profile error of the right tooth surface of the face gear has been compensated from 0.0353mm before compensation to a maximum error of 0.00902mm and a minimum error of -0.008626mm. Referring to the accuracy grades of spur gears and bevel gears, the tooth profile accuracy grade of the face gear after compensation has reached grade five, which is within the range of precision machining.

[0082] In the description of this specification, references to the terms "one embodiment," "some embodiments," "example," "specific example," or "some examples," etc., refer to a specific feature, structure, material, or characteristic described in connection with that embodiment or example that is included in at least one embodiment or example of the present invention.

[0083] Although embodiments of the invention have been shown and described, those skilled in the art will understand that various changes, modifications, substitutions and alterations can be made to these embodiments without departing from the principles and spirit of the invention, the scope of which is defined by the claims and their equivalents.

Claims

1. A method for correcting process deviations in dressing a worm gear grinding wheel for face gear grinding, characterized in that, Includes the following steps: Obtain the tooth profile error of the left tooth surface and the tooth profile error of the right tooth surface of the face gear; calculate the radial tooth profile error and the axial tooth profile error based on the tooth profile errors of the left and right tooth surfaces; obtain the corrected radial deviation model and the corrected axial deviation model. The radial deviation is obtained based on the radial tooth profile error and the corrected radial deviation model. The corrected diameter of the worm wheel is obtained based on the radial deviation and the target diameter of the worm wheel. The diameter of the worm wheel is then corrected based on the corrected diameter of the worm wheel. The axial deviation is obtained based on the axial tooth profile error and the corrected axial deviation model. The actual position of the worm wheel is obtained based on the axial deviation and the original position of the worm wheel. The position of the worm wheel is then corrected based on the actual position of the worm wheel.

2. The method for correcting process deviations in dressing a worm gear grinding wheel for face gear grinding as described in claim 1, characterized in that, The calculation process for radial tooth profile error and axial tooth profile error is as follows: ; ;in, Indicates radial tooth profile error. Indicates axial tooth profile error. This indicates the tooth profile error on the left tooth surface. This indicates the tooth profile error on the right tooth surface.

3. The method for correcting process deviations in dressing a worm gear grinding wheel for face gear grinding as described in claim 1, characterized in that, The steps to correct the original position of the worm grinding wheel based on the axial deviation and obtain the actual position of the worm grinding wheel specifically include: shifting the original position of the worm grinding wheel by the distance of the axial deviation, compensating for the original tooth profile deviation, and rotating the worm grinding wheel by the deviation angle on the original phase to obtain the actual position of the worm grinding wheel. Deviation angle The calculation process is as follows: ;in, Indicates the rotational compensation angle of the face gear. The number of grinding wheel heads for face gears and worm gears. This refers to the number of teeth on a face gear.

4. The method for correcting process deviations in dressing a worm gear grinding wheel for face gear grinding as described in claim 1, characterized in that, Worm Grinding Wheel Diameter Correction The acquisition process is as follows: ;in, Indicates the target diameter of the worm gear grinding wheel. Indicates the dressing diameter of the worm gear grinding wheel. This indicates radial deviation.

5. The method for correcting process deviations in dressing a worm gear grinding wheel for face gear grinding as described in claim 1, characterized in that, Modified radial deviation model Specifically as follows: ； in, This represents the normal vector corresponding to a point on the offset tooth surface. Indicates the pressure angle of the face gear; For the tooth surface of a face gear with radial deviation, Involute angle parameters in the tooth profile direction, Indicates radial deviation. This indicates the distance between the axis of the worm gear grinding wheel and the axis of the face gear.

6. The method for correcting process deviations in dressing a worm gear grinding wheel for face gear grinding as described in claim 1, characterized in that, Corrected axial deviation model Specifically as follows: ； in, Indicates axial deviation. This indicates the deflection angle of the face gear caused by axial deviation; Involute angle parameters in the tooth profile direction, The equation representing the tooth surface of a face gear with axial deviation; This indicates the distance between the axis of the worm gear grinding wheel and the axis of the face gear at a certain moment.

7. A method for correcting process deviations in dressing a worm gear grinding wheel for face gear grinding as described in claim 5 or 6, characterized in that, The process of obtaining the corrected axial deviation model and the corrected radial deviation model is as follows: obtain the standard tooth surface model, the axial position deviation model, and the radial position deviation model; The tooth surface of a face gear with axial deviation is obtained by using the axial position deviation model, and the corrected axial deviation model is obtained by using the standard tooth surface model and the tooth surface of a face gear with axial deviation. The radial deviation tooth surface of the face gear is obtained by using the radial position deviation model, and the modified radial deviation model is obtained based on the standard tooth surface model and the radial deviation tooth surface of the face gear.

8. The method for correcting process deviations in dressing a worm gear grinding wheel for face gear grinding as described in claim 7, characterized in that, Standard tooth surface model as follows: in, Indicates the base circle radius of the gear shaping cutter. The involute angle parameter representing the tooth profile direction. Indicates the angle of the gear shaping cutter. Indicates the rotation angle of a face gear. , Indicates the middle corner. ; This indicates the transmission ratio between the gear shaper and the face gear; Indicates the half-angle of the tooth groove of the gear shaping cutter; These represent the coordinates of points on the tooth surface of the face gear in the spatial coordinate system.

9. The method for correcting process deviations in dressing a worm gear grinding wheel for face gear grinding as described in claim 7, characterized in that, Axial position deviation model Specifically as follows: ； ； Radial position deviation model Specifically as follows: ； ； in, The intermediate equation for axial deviation transformation. This is the intermediate equation for radial deviation transformation. The equation representing the coordinate transformation matrix from the feed wheel to the worm grinding wheel; Indicates radial deviation; Indicates axial deviation. Indicates the angle of the gear shaping cutter. The involute angle parameter representing the tooth profile direction. The equation representing the profile of a standard production wheel.

10. The method for correcting process deviations in dressing a worm gear grinding wheel for face gear grinding as described in claim 7, characterized in that, Face gear tooth surface with axial deviation The acquisition process is as follows: Obtaining the axial position deviation model ; A two-parameter envelope process is performed on the axial position deviation model: ;in, This indicates the gear hobbing cutter rotation angle when there is a positional deviation; This is a two-parameter coordinate transformation equation. The involute angle parameter representing the tooth profile direction. This indicates the angle through which the grinding wheel rotates about its axis at a given moment. This indicates the distance between the axis of the worm gear grinding wheel and the axis of the face gear at a certain moment; Represents axial deviation; the axial position deviation model after encapsulation Eliminate by simultaneously solving the envelope equation and the radial meshing formula and Two parameters are used to obtain the tooth surface of a face gear with axial deviation; The axial meshing formula is as follows: , ,in, This represents the axial position deviation model after the envelope. Face gear tooth surface with radial deviation The acquisition process is as follows: Obtaining the radial position deviation model A two-parameter envelope process is performed on the radial position deviation model: ;in, Represents radial deviation; the radial position deviation model after encapsulation. Eliminate by simultaneously solving the envelope equation and meshing formula and To obtain a face gear tooth surface with radial deviation; The radial meshing formula is as follows: , ,in, This represents the radial position deviation model after the envelope.

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