A method, system, device and medium for measuring the roughness of gear tooth profiles

By obtaining the design and test parameters of the gear pair, calculating the Hertz contact width and filtering to determine the surface roughness parameters, the problem of inaccurate measurement of gear surface roughness in the prior art is solved, and the accuracy of gear contact analysis and load-bearing capacity prediction is achieved.

CN116518907BActive Publication Date: 2025-07-25BEIJING UNIV OF TECH
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Patent Information

Application Number
CN202310492007.9
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2023-05-05
Publication Date
2025-07-25
Estimated Expiration
2043-05-05

AI Technical Summary

Technical Problem

The existing gear surface roughness measurement methods fail to consider the differences in the tooth surface processing method and working state, resulting in the inconsistent characterization method in gear contact analysis, affecting the accuracy of gear lubrication status and wear calculation.

Method used

By obtaining the design and test parameters of the gear pair, calculating the Hertz contact width, and determining the surface roughness parameters with filtering technology, the gear contact analysis is realized.

Benefits of technology

Accurately characterizing the surface roughness of the gear in the working area improves the accuracy of gear contact analysis and can better predict the load-bearing capacity of the gear.

✦ Generated by Eureka AI based on patent content.

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Abstract

The present invention discloses a method, system, device and medium for measuring the roughness of gear tooth profiles, relating to the technical field of precise gear measurement; the method includes: obtaining the design parameters of a target gear pair and the test parameters of each tooth profile working point; fitting the measured surface profile and the theoretical tooth profile curve to obtain a surface structure curve; for each tooth profile working point on the theoretical tooth profile curve, calculating the Hertz contact width according to the design parameters and the test parameters, and determining the evaluation length of the surface roughness according to the Hertz contact width; filtering the surface structure curve with a filter having a set wavelength to obtain a surface roughness profile; for any evaluation length, determining the surface roughness parameters of each tooth profile working point within the working area according to the surface roughness profile; the present invention finally determines the surface roughness parameters by fitting and based on the Hertz contact width of the tooth profile working points, so as to accurately realize the contact analysis of the gear.
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Description

Technical Field

[0001] The present invention relates to the technical field of gear precision measurement, and particularly to a method, system, device and medium for measuring the roughness of gear tooth profiles. Background Art

[0002] A gear pair is a basic mechanism composed of two meshing gears. During the meshing process of the gear pair, the surface roughness of the gears has an important impact on the transmission performance such as the lubrication state, tooth surface wear and fatigue of the gears. Therefore, the measurement of tooth surface roughness is of great significance for predicting the working state of the gear contact area.

[0003] Currently, the measurement and characterization of tooth surface roughness are generally carried out within the working tooth height range of the tooth profile, as an acceptance content of gear accuracy, without considering the tooth surface machining method and working state. However, due to the differences in roughness in different regions of tooth surfaces with different machining methods, and the non-uniform change of tooth surface roughness during the service of gears, therefore, in the calculation of gear contact stress, lubrication state and tooth surface wear, the existing surface roughness characterization method does not fully conform to the actual situation and cannot meet the requirements for gear contact analysis. Summary of the Invention

[0004] The purpose of the present invention is to provide a method, system, device and medium for measuring the roughness of gear tooth profiles, which finally determine the surface roughness parameters by fitting and according to the Hertz contact width at the working points of the tooth profiles, so as to accurately realize the contact analysis of gears.

[0005] To achieve the above purpose, the present invention provides the following solutions:

[0006] A method for measuring the roughness of gear tooth profiles, the method comprising:

[0007] Obtain the design parameters of the target gear pair and the test parameters of each tooth profile working point when the driving gear and the driven gear in the target gear pair are meshing; the design parameters include: the number of teeth of the driving gear, the number of teeth of the driven gear, the module, the addendum modification coefficient of the driving gear, the addendum modification coefficient of the driven gear and the pressure angle; the test parameters include: the torque of the driving gear, the rotational speed of the driving gear and the center distance between the driving gear and the driven gear;

[0008] Take any gear in the target gear pair as the target gear, measure the tooth surface feature line of the target gear along the tooth profile direction to obtain the measured surface profile; the tooth surface feature line is the tooth profile line determined according to each tooth profile working point when the driving gear and the driven gear are meshing;

[0009] Calculate the tooth surface feature line of the target gear along the tooth profile direction according to the design parameters to obtain the theoretical tooth profile curve;

[0010] Fit the measured surface profile and the theoretical tooth profile curve to obtain a surface structure curve;

[0011] According to the design parameters and the test parameters, calculate the Hertz contact width of all tooth profile working points in the working area on the theoretical tooth profile curve, and determine the evaluation length of the surface roughness corresponding to each tooth profile working point according to the Hertz contact width;

[0012] Filter the surface structure curve with a filter of a set wavelength to obtain a surface roughness profile;

[0013] For any one of the evaluation lengths, determine the surface roughness parameters of each tooth profile working point in the working area according to the surface roughness profile; the surface roughness parameters are used to characterize the load-bearing capacity of the target gear in the working area.

[0014] Optionally, calculating the Hertz contact width of all tooth profile working points in the working area on the theoretical tooth profile curve according to the design parameters and the test parameters specifically includes:

[0015] Determine the radius of curvature according to the design parameters; the radius of curvature includes the radius of curvature of the driving wheel and the radius of curvature of the driven wheel;

[0016] Determine the normal pressure on the tooth surface according to the design parameters and the test parameters;

[0017] Calculate the Hertz contact width according to the radius of curvature and the normal pressure on the tooth surface.

[0018] Optionally, calculating the Hertz contact width according to the radius of curvature and the normal pressure on the tooth surface specifically includes:

[0019]

[0020] Wherein, b is the Hertz contact width; P is the normal pressure on the tooth surface; μ1 is the Poisson's ratio of the driving wheel material; μ2 is the Poisson's ratio of the driven wheel material; E1 is the elastic modulus of the driving wheel material, and E2 is the elastic modulus of the driven wheel material; L is the tooth width; R1 is the radius of curvature of the driving wheel; R2 is the radius of curvature of the driven wheel.

[0021] Optionally, fitting the measured surface profile and the theoretical tooth profile curve to obtain a surface structure curve specifically includes:

[0022] Fit the measured surface profile and the theoretical tooth profile curve to obtain a fitting result;

[0023] Subtract the corresponding tooth profile working points on the measured surface profile and the theoretical tooth profile curve according to the fitting result to obtain a surface structure curve.

[0024] Optionally, the surface roughness parameters include: arithmetic mean roughness and root mean square roughness;

[0025] For any one of the evaluation lengths, determine the surface roughness parameters of each tooth profile working point in the working area according to the surface roughness profile, specifically including:

[0026]

[0027]

[0028] wherein, R a is the arithmetic mean roughness; R q is the root mean square roughness; l is the evaluation length; y is the set of roughness corresponding to each tooth profile working point on the surface roughness profile; n is the number of tooth profile working points; i is the serial number of the tooth profile working point; y i is the roughness of the i-th tooth profile working point; dx is an infinitesimal quantity on the integral interval 0 - l.

[0029] Optionally, the method further includes:

[0030] Determine a surface roughness parameter curve according to the surface roughness parameters of all working areas; the surface roughness parameter curve characterizes the change of the load-carrying capacity of the target gear along the tooth profile direction.

[0031] A gear tooth profile roughness measurement system, the system includes:

[0032] An acquisition module, configured to acquire the design parameters of the target gear pair and the test parameters of each tooth profile working point when the driving wheel and the driven wheel in the target gear pair are meshing; the design parameters include: the number of teeth of the driving wheel, the number of teeth of the driven wheel, the module, the addendum modification coefficient of the driving wheel, the addendum modification coefficient of the driven wheel, and the pressure angle; the test parameters include: the torque of the driving wheel, the rotational speed of the driving wheel, and the center distance between the driving wheel and the driven wheel;

[0033] A measurement module, configured to use any one of the gears in the target gear pair as the target gear, measure the tooth surface feature line along the tooth profile direction of the target gear, and obtain a measured surface profile; the tooth surface feature line is a tooth profile line determined according to each tooth profile working point when the driving wheel and the driven wheel are meshing;

[0034] A calculation module, configured to calculate the tooth surface feature line along the tooth profile direction of the target gear according to the design parameters, and obtain a theoretical tooth profile curve;

[0035] A fitting module, configured to fit the measured surface profile and the theoretical tooth profile curve to obtain a surface structure curve;

[0036] A length determination module, configured to calculate the Hertz contact width of all tooth profile working points within the working area on the theoretical tooth profile curve according to the design parameters and the test parameters, and determine the evaluation length of the surface roughness corresponding to each tooth profile working point according to the Hertz contact width;

[0037] A filtering module, configured to filter the surface structure curve by using a filter with a set wavelength to obtain a surface roughness profile;

[0038] A parameter determination module, configured to determine the surface roughness parameters of each tooth profile working point within the working area according to the surface roughness profile for any one of the evaluation lengths; the surface roughness parameters are used to characterize the load-bearing capacity of the target gear within the working area.

[0039] An electronic device, including a memory and a processor, where the memory is used to store a computer program, and the processor runs the computer program to enable the electronic device to execute the gear tooth profile roughness measurement method described above.

[0040] A computer-readable storage medium, which stores a computer program, and when the computer program is executed by a processor, the gear tooth profile roughness measurement method described above is implemented.

[0041] According to the specific embodiments provided by the present invention, the following technical effects are disclosed by the present invention:

[0042] The present invention provides a gear tooth profile roughness measurement method, system, device and medium. By measuring the tooth surface feature line to obtain the measurement surface profile, and calculating the tooth surface feature line to obtain the theoretical tooth profile curve, and then fitting the two to obtain the surface structure curve; since the tooth surface feature line is a tooth profile line determined according to each tooth profile working point when the driving wheel and the driven wheel are meshed, therefore, after determining the evaluation length through the theoretical tooth profile curve, combined with the surface roughness profile, the surface roughness parameters are determined, which can accurately realize the contact analysis of the gear; and since the determined surface roughness parameters are used to characterize the load-bearing capacity of the target gear within the working area, the contact analysis of the gear can be accurately realized, and further, the problem that the surface roughness characterization method does not completely conform to the actual situation can be avoided. Description of the Drawings

[0043] In order to more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the following will briefly introduce the drawings required to be used in the embodiments. Obviously, the drawings in the following description are only some embodiments of the present invention. For those of ordinary skill in the art, without creative efforts, other drawings can also be obtained based on these drawings.

[0044] Figure 1Flow chart of the gear tooth profile roughness measurement method provided by an embodiment of the present invention;

[0045] Figure 2 Schematic diagram of gear meshing provided by an embodiment of the present invention;

[0046] Figure 3 Schematic diagram of measurement using a roughness profiler provided by an embodiment of the present invention;

[0047] Figure 4 Schematic diagram of Hertz contact provided by an embodiment of the present invention;

[0048] Figure 5 Schematic diagram of the characterization result of the tooth profile surface roughness provided by an embodiment of the present invention;

[0049] Figure 6 Schematic diagram of the operation flow of the gear tooth profile roughness measurement method in practical application provided by an embodiment of the present invention;

[0050] Figure 7 Structure diagram of the gear tooth profile roughness measurement system provided by an embodiment of the present invention;

[0051] Figure 8 Schematic diagram of the display interface of the display module provided by an embodiment of the present invention.

[0052] Symbol description:

[0053] Acquisition module - 1, measurement module - 2, calculation module - 3, fitting module - 4, length determination module - 5, filtering module - 6, parameter determination module - 7. Detailed implementation manners

[0054] Next, the technical solutions in the embodiments of the present invention will be clearly and completely described in conjunction with the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only a part of the embodiments of the present invention, rather than all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those of ordinary skill in the art without creative efforts shall fall within the protection scope of the present invention.

[0055] During the meshing process of a gear pair, it is generally point contact or line contact, and the meshing point moves along the tooth profile direction. The size of the contact area at the meshing point is usually calculated using Hertz contact theory.

[0056] The purpose of the present invention is to provide a gear tooth profile roughness measurement method, system, device and medium, which finally determine the surface roughness parameters through fitting and based on the Hertz contact width at the working point of the tooth profile, so as to accurately achieve the contact analysis of the gear.

[0057] To make the above objects, features, and advantages of the present invention more apparent and understandable, the present invention will be further described in detail below with reference to the accompanying drawings and specific embodiments.

[0058] Embodiment 1

[0059] As Figure 1 shown, an embodiment of the present invention provides a method for measuring the roughness of a gear tooth profile. The method includes:

[0060] Step 100: Obtain the design parameters of the target gear pair and the test parameters of each tooth profile working point when the driving gear and the driven gear in the target gear pair are engaged; the design parameters include: the number of teeth of the driving gear, the number of teeth of the driven gear, the module, the addendum modification coefficient of the driving gear, the addendum modification coefficient of the driven gear, and the pressure angle; the test parameters include: the torque of the driving gear, the rotational speed of the driving gear, and the center distance between the driving gear and the driven gear.

[0061] Step 200: Take any gear in the target gear pair as the target gear, measure the tooth surface feature line along the tooth profile direction of the target gear to obtain the measured surface profile; the tooth surface feature line is the tooth profile line determined according to each tooth profile working point when the driving gear and the driven gear are engaged.

[0062] Specifically, use a roughness profiler to measure the tooth surface topography along the tooth profile direction, and the measurement length covers the entire tooth profile working measurement area. The involute part of the tooth profile is used as the measurement area, and this area needs to include the starting point and the ending point of meshing. Among them, the gear meshing schematic diagram is shown in Figure 2 . The measurement schematic diagram using a roughness profiler is shown in Figure 3 .

[0063] Step 300: Calculate the tooth surface feature line of the target gear along the tooth profile direction according to the design parameters to obtain the theoretical tooth profile curve.

[0064] Step 400: Fit the measured surface profile and the theoretical tooth profile curve to obtain the surface structure curve. That is, perform least-squares fitting on the measured surface curve and the theoretical surface curve, and after removing the macroscopic shape of the tooth profile through filtering, obtain the surface structure curve.

[0065] Step 500: According to the design parameters and the test parameters, calculate the Hertz contact width of all tooth profile working points in the working area on the theoretical tooth profile curve, and determine the evaluation length of the surface roughness corresponding to each tooth profile working point according to the Hertz contact width.

[0066] Specifically, calculating the Hertz contact width of all tooth profile working points in the working area on the theoretical tooth profile curve according to the design parameters and the test parameters specifically includes:

[0067] Determine the radius of curvature according to the design parameters; the radius of curvature includes the radius of curvature of the driving gear and the radius of curvature of the driven gear;

[0068] Determine the normal pressure on the tooth surface according to the design parameters and test parameters;

[0069] Calculate the Hertz contact width according to the radius of curvature and the normal pressure on the tooth surface.

[0070] In short, on the tooth profile, from the starting point to the ending point of meshing, according to each working point of the tooth profile, set the calculation step size, and calculate the Hertz contact width based on the design parameters and test parameters. See the Hertz contact schematic diagram in Figure 4 .

[0071] Among them, calculating the Hertz contact width according to the radius of curvature and the normal pressure on the tooth surface specifically includes:

[0072]

[0073] Among them, b is the Hertz contact width; P is the normal pressure on the tooth surface; μ1 is the Poisson's ratio of the driving wheel material; μ2 is the Poisson's ratio of the driven wheel material; E1 is the elastic modulus of the driving wheel material, and E2 is the elastic modulus of the driven wheel material; L is the tooth width; R1 is the radius of curvature of the driving wheel; R2 is the radius of curvature of the driven wheel. When the two gears of the driving wheel and the driven wheel are in external meshing contact, take the "+" sign, and when the two gears of the driving wheel and the driven wheel are in internal meshing, take the "-" sign.

[0074] Determine the evaluation length of the surface roughness according to the Hertz contact length, specifically including:

[0075] Extend the Hertz contact width by a length of one Hertz contact width in both the front and back directions along the tooth profile line as the evaluation length of the surface roughness. Since the Hertz contact width is related to the normal pressure in the gear contact area, the evaluation lengths of the surface roughness in the tooth profile direction are variable.

[0076] In short, every three local Hertz contact widths are used as an evaluation length of the surface roughness, and then the surface roughness parameters at the current position are calculated.

[0077] Step 600: Filter the surface structure curve with a filter of a set wavelength to obtain the surface roughness profile.

[0078] According to the evaluation process specified by the national standard for surface roughness, first determine the cut-off wavelength of the surface roughness filter; among them, the cut-off wavelength of the short-wave filter is λ s ; the cut-off wavelength of the long-wave filter is λ c . The selection of the cut-off wavelength should be based on the design grade of the tooth profile surface roughness and select the corresponding long- and short-wave cut-off wavelengths according to the standard. λ s and λ cAfter selection, when performing a filtering operation on the tooth profile surface structure curves of different teeth, using the same cut-off wavelength, a microscopic topography curve containing roughness information can be obtained.

[0079] Step 700: For any evaluation length, determine the surface roughness parameters of each tooth profile working point within the working area according to the surface roughness profile; the surface roughness parameters are used to characterize the load-bearing capacity of the target gear within the working area.

[0080] The surface roughness parameters are calculated separately for each evaluation length. The surface roughness parameters include R commonly used in the calculation of the gear load-bearing capacity a and R q values, and may also include other parameters.

[0081] The surface roughness parameters include: arithmetic mean roughness and root mean square roughness; among them, for any evaluation length, determining the surface roughness parameters of each tooth profile working point within the working area according to the surface roughness profile specifically includes:

[0082]

[0083]

[0084] Among them, R a is the arithmetic mean roughness; R q is the root mean square roughness; l is the evaluation length; y is the set of roughness corresponding to each tooth profile working point on the surface roughness profile; n is the number of tooth profile working points; i is the serial number of the tooth profile working point; y i is the roughness of the i-th tooth profile working point; dx is an infinitesimal quantity in the integral interval 0-l.

[0085] As an optional implementation manner, the method further includes:

[0086] Determine the surface roughness parameter curve according to the surface roughness parameters of all working areas; the surface roughness parameter curve characterizes the change of the load-bearing capacity of the target gear along the tooth profile direction.

[0087] Within the tooth profile working area, calculate the surface roughness parameters of each tooth profile working point on the tooth profile in sequence according to application requirements, such as R a and R q values, etc. Taking the tooth profile rolling angle as the abscissa and the surface roughness parameter as the ordinate, plotting the surface roughness parameter curve along the tooth profile direction is the tooth profile surface roughness characterization. For a schematic diagram of the tooth profile surface roughness characterization result, see Figure 5In addition, in practical applications, the operation process of the present invention can also be as follows: measuring the tooth profile using equipment such as a roughness profiler; then calculating the Hertz contact length along the tooth profile direction according to the design parameters of the gear pair, and further calculating the evaluation length. Calculate the roughness parameters within each evaluation length, and then obtain the tooth profile surface roughness characterization and output the surface roughness characterization result. The corresponding operation flow schematic diagram is shown in Figure 6 Using the surface roughness parameters for subsequent gear load-carrying capacity calculation and outputting the surface roughness value can more intuitively characterize the gear's load-carrying capacity.

[0088] Embodiment 2

[0089] As Figure 7 shown, an embodiment of the present invention provides a gear tooth profile roughness measurement system, which includes: an acquisition module 1, a measurement module 2, a calculation module 3, a fitting module 4, a length determination module 5, a filtering module 6, and a parameter determination module 7.

[0090] The acquisition module 1 is used to acquire the design parameters of the target gear pair and the test parameters of each tooth profile working point when the driving wheel and the driven wheel in the target gear pair are engaged; the design parameters include: the number of teeth of the driving wheel, the number of teeth of the driven wheel, the module, the addendum modification coefficient of the driving wheel, the addendum modification coefficient of the driven wheel, and the pressure angle; the test parameters include: the torque of the driving wheel, the rotational speed of the driving wheel, and the center distance between the driving wheel and the driven wheel.

[0091] The measurement module 2 is used to use any gear in the target gear pair as the target gear, measure the tooth surface feature line of the target gear along the tooth profile direction, and obtain the measured surface profile; the tooth surface feature line is the tooth profile line determined according to each tooth profile working point when the driving wheel and the driven wheel are engaged.

[0092] The calculation module 3 is used to calculate the tooth surface feature line of the target gear along the tooth profile direction according to the design parameters to obtain the theoretical tooth profile curve.

[0093] The fitting module 4 is used to fit the measured surface profile and the theoretical tooth profile curve to obtain the surface structure curve.

[0094] The length determination module 5 is used to calculate the Hertz contact width of all tooth profile working points in the working area on the theoretical tooth profile curve according to the design parameters and the test parameters, and determine the evaluation length of the surface roughness corresponding to each tooth profile working point according to the Hertz contact width.

[0095] The filtering module 6 is used to filter the surface structure curve using a filter with a set wavelength to obtain the surface roughness profile.

[0096] A parameter determination module 7 is configured to determine, for any evaluation length, surface roughness parameters of each tooth profile working point within the working area according to the surface roughness profile; the surface roughness parameters are used to characterize the load-bearing capacity of the target gear within the working area.

[0097] In one embodiment, the gear tooth profile roughness measurement system provided by the embodiments of the present invention further includes: a display module.

[0098] The display module is capable of displaying the basic parameters of the gear pair, such as: helix angle, addendum circle diameter, base circle diameter, and module, number of teeth, and radial modification coefficient in the design parameters. The display module is also capable of displaying the transverse pressure angle and the working pressure angle.

[0099] Based on the above various parameters, the display module is further capable of displaying the arithmetic mean roughness R a and the root mean square roughness R q , and is also capable of displaying the corresponding roll angle. A schematic diagram of the display interface of the display module is shown in Figure 8 .

[0100] Embodiment 3

[0101] The embodiments of the present invention provide an electronic device, including a memory and a processor. The memory is used to store a computer program, and the processor runs the computer program to enable the electronic device to execute the gear tooth profile roughness measurement method in Embodiment 1.

[0102] In one embodiment, the above-mentioned electronic device may be a server.

[0103] As an optional implementation manner, the embodiments of the present invention further provide a computer-readable storage medium, which stores a computer program. When the computer program is executed by a processor, it implements the gear tooth profile roughness measurement method in Embodiment 1.

[0104] The various embodiments in this specification are described in a progressive manner. Each embodiment focuses on the differences from other embodiments. The same or similar parts among the various embodiments can be referred to each other. For the system disclosed in the embodiments, since it corresponds to the method disclosed in the embodiments, the description is relatively simple, and the relevant parts can be referred to the description of the method part.

[0105] Specific examples are used in this article to elaborate on the principles and implementation manners of the present invention. The descriptions of the above embodiments are only used to help understand the method and its core idea of the present invention; at the same time, for those of ordinary skill in the art, according to the idea of the present invention, there will be changes in the specific implementation manners and application scopes. In summary, the content of this specification should not be construed as a limitation to the present invention.

Claims

1. A method for measuring the roughness of a gear tooth profile, characterized in that, The method includes: Obtaining the design parameters of the target gear pair and the test parameters of each tooth profile working point when the driving gear and the driven gear in the target gear pair are meshing; the design parameters include: the number of teeth of the driving gear, the number of teeth of the driven gear, the module, the addendum modification coefficient of the driving gear, the addendum modification coefficient of the driven gear, and the pressure angle; the test parameters include: the torque of the driving gear, the rotational speed of the driving gear, and the center distance between the driving gear and the driven gear; Taking any gear in the target gear pair as the target gear, measuring the tooth surface feature line of the target gear along the tooth profile direction to obtain the measured surface profile; the tooth surface feature line is a tooth profile line determined according to each tooth profile working point when the driving gear and the driven gear are meshing; Calculating the tooth surface feature line of the target gear along the tooth profile direction according to the design parameters to obtain the theoretical tooth profile curve; Fitting the measured surface profile and the theoretical tooth profile curve to obtain the surface structure curve; Calculating the Hertz contact width of all tooth profile working points in the working area on the theoretical tooth profile curve according to the design parameters and the test parameters, and determining the evaluation length of the surface roughness corresponding to each tooth profile working point according to the Hertz contact width; Filtering the surface structure curve with a filter of a set wavelength to obtain the surface roughness profile; For any one of the evaluation lengths, determining the surface roughness parameters of each tooth profile working point in the working area according to the surface roughness profile; the surface roughness parameters are used to characterize the load-bearing capacity of the target gear in the working area.

2. The gear tooth profile roughness measurement method according to claim 1, wherein Calculating the Hertz contact width of all tooth profile working points in the working area on the theoretical tooth profile curve according to the design parameters and the test parameters, specifically including: Determining the radius of curvature according to the design parameters; the radius of curvature includes the radius of curvature of the driving gear and the radius of curvature of the driven gear; Determining the normal pressure on the tooth surface according to the design parameters and the test parameters; Calculating the Hertz contact width according to the radius of curvature and the normal pressure on the tooth surface.

3. The gear tooth profile roughness measurement method according to claim 2, characterized in that, Calculating the Hertz contact width according to the radius of curvature and the normal pressure on the tooth surface, specifically including: Where, b is the Hertz contact width; P is the normal pressure on the tooth surface; μ1 is the Poisson's ratio of the material of the driving gear; μ2 is the Poisson's ratio of the material of the driven gear; E1 is the elastic modulus of the material of the driving gear, and E2 is the elastic modulus of the material of the driven gear; L is the tooth width; R1 is the radius of curvature of the driving gear; R2 is the radius of curvature of the driven gear.

4. The gear tooth profile roughness measurement method according to claim 1, characterized in that, Fitting the measured surface profile and the theoretical tooth profile curve to obtain the surface structure curve, specifically including: Fitting the measured surface profile and the theoretical tooth profile curve to obtain the fitting result; Subtracting the corresponding tooth profile working points on the measured surface profile and the theoretical tooth profile curve according to the fitting result to obtain the surface structure curve.

5. The gear tooth profile roughness measurement method according to claim 1, characterized in that The surface roughness parameters include: arithmetic mean roughness and root mean square roughness; For any one of the evaluation lengths, determining the surface roughness parameters of each tooth profile working point in the working area according to the surface roughness profile, specifically including: Among them, R a is the arithmetic mean roughness; R q is the root mean square roughness; l is the evaluation length; y is the set of roughness corresponding to each working point of the surface roughness profile; n is the number of working points of the profile; i is the serial number of the working point of the profile; y i is the roughness of the i-th working point of the profile; dx is an infinitesimal quantity on the integration interval 0 - l.

6. The gear tooth profile roughness measurement method according to claim 1, wherein The method further includes: Determine the surface roughness parameter curve based on the surface roughness parameters of all working areas; the surface roughness parameter curve characterizes the change in the load-bearing capacity of the target gear along the tooth profile direction.

7. A gear tooth profile roughness measurement system, characterized in that, The system includes: An acquisition module, configured to acquire the design parameters of the target gear pair and the test parameters of each tooth profile working point when the driving gear and the driven gear in the target gear pair are engaged; the design parameters include: the number of teeth of the driving gear, the number of teeth of the driven gear, the module, the addendum modification coefficient of the driving gear, the addendum modification coefficient of the driven gear, and the pressure angle; the test parameters include: the torque of the driving gear, the rotational speed of the driving gear, and the center distance between the driving gear and the driven gear; A measurement module, configured to use any one of the gears in the target gear pair as the target gear, measure the tooth surface feature line of the target gear along the tooth profile direction, and obtain the measured surface profile; the tooth surface feature line is a tooth profile line determined according to each tooth profile working point when the driving gear and the driven gear are engaged; A calculation module, configured to calculate the tooth surface feature line of the target gear along the tooth profile direction according to the design parameters, and obtain the theoretical tooth profile curve; A fitting module, configured to fit the measured surface profile and the theoretical tooth profile curve to obtain a surface structure curve; A length determination module, configured to calculate the Hertz contact width of all tooth profile working points in the working area on the theoretical tooth profile curve according to the design parameters and the test parameters, and determine the evaluation length of the surface roughness corresponding to each tooth profile working point according to the Hertz contact width; A filtering module, configured to filter the surface structure curve by using a filter with a set wavelength to obtain a surface roughness profile; A parameter determination module, configured to determine the surface roughness parameters of each tooth profile working point in the working area according to the surface roughness profile for any one of the evaluation lengths; the surface roughness parameters are used to characterize the load-bearing capacity of the target gear in the working area.

8. An electronic device, characterized in that, It includes a memory and a processor, the memory is used to store a computer program, and the processor runs the computer program to enable the electronic device to execute the gear tooth profile roughness measurement method according to any one of claims 1 to 6.

9. A computer-readable storage medium, characterized in that, It stores a computer program, and when the computer program is executed by the processor, it implements the gear tooth profile roughness measurement method according to any one of claims 1 to 6.

Citation Information

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