Tooth surface modification method for spiral bevel gears

Abstract

The application provides a modification method for a tooth surface of an involute toothed gear, comprising: designing the tooth surface based on first design parameters of the gear to obtain an initial print; performing static print analysis and modification on the initial print to obtain a modified initial print meeting static print requirements; modeling the gear based on second design parameters of the modified initial print to obtain a dynamic print and a transmission error, wherein the second design parameters include the first design parameters and machining parameters; analyzing the dynamic print and the transmission error, and modifying the dynamic print to obtain a modified dynamic print meeting strength requirements and dynamic performance requirements; machining the gear based on at least modified second design parameters of the modified dynamic print, wherein the modified second design parameters include the first design parameters and modified machining parameters; performing a static print test on the machined gear to obtain a test print; and comparing the test print with the initial print, and further adjusting the modified machining parameters to make them consistent.

Description

TECHNICAL FIELD

[0001] The present application relates to the field of design of spiral bevel gears, and more particularly, to a method for modifying the tooth surface of a spiral bevel gear. BACKGROUND

[0002] Spiral bevel gears have the advantages of high contact ratio, stable transmission, strong load-carrying capacity, etc., and are applied in the central transmission gear box (IGB) and the transfer transmission gear box (TGB) of the transmission system in the field of aero-engines. The meshing quality of spiral bevel gears directly affects the load-carrying capacity and vibration performance of the system. In engineering, dynamic indentation and transmission error are important indicators for measuring the meshing performance of gears, and the peak-to-peak value of the load transmission error curve can also reflect the vibration performance of the gear pair. Therefore, it is of great significance to design the dynamic indentation of the tooth surface of spiral bevel gears and analyze the transmission error of the gear pair to guide the design of the load-carrying capacity and vibration performance of the spiral bevel gear system.

[0003] Traditional indentation design can only be based on machining, aiming to approximately meet the design requirements, determining the machining parameters, and then verifying whether the design requirements are met according to the machined tooth surface, passively selecting the tooth surface shape, which belongs to "passive design". This method has certain subjectivity, fuzziness and uncertainty, and greatly depends on experience, which cannot meet the performance requirements of gear transmission. Based on the above problems, the active design method of tooth surface indentation emerges as the times require. Active design of tooth surface indentation refers to first determining the best contact indentation and transmission error of the gear under the strength and dynamic performance targets in the actual working conditions, and then designing the tooth surface and the corresponding machining method that can accurately meet the above conditions. The active design technology of tooth surface indentation designs the shape parameters of the tooth surface according to the functional requirements of gear transmission, which has great significance for the theoretical development and practical application of gear transmission technology. In addition, under actual working conditions, the tooth surface indentation will deviate from the theoretical design position due to the influence of factors such as gear machining error, installation error and system deformation under the action of load, and serious tooth surface indentation deviation will cause abnormal meshing phenomena such as edge contact, resulting in strong vibration and noise of the gear. However, the current indentation design has not yet studied these factors in the tooth surface design stage. SUMMARY

[0004] This summary is provided to introduce some concepts of some concepts that will be further described in the detailed description below. This summary does not necessarily describe all features of the claimed subject matter, nor does it necessarily describe features that are required by the claimed subject matter.

[0005] One of the purposes of the present application is to provide a method for involute tooth surface imprint active design of spiral bevel gears. The method firstly carries out gear tooth surface preliminary design and static contact area simulation based on spiral bevel gear preliminary design parameters; then introduces usage conditions and errors, etc., to establish a gear system level model to obtain dynamic imprint and transmission error of the gear pair; based on the dynamic imprint and transmission error, tooth surface modification is carried out to obtain contact imprint meeting strength and dynamic performance requirements; finally, the machining imprint under the machining parameters is taken as design requirements, and the spiral bevel gear tooth surface and the corresponding machining method capable of accurately meeting the above conditions are designed, and are compared and verified with the measured static imprint, so that the tooth surface imprint active design is realized. The present application fully considers the timeliness and feasibility of spiral bevel gear tooth surface imprint design, high-fidelity simulates the real working state, the analysis result is reliable, and the engineering application is strong.

[0006] According to one aspect of the present disclosure, a tooth surface modification method for a spiral bevel gear is provided, including: performing tooth surface design based on first design parameters of the spiral bevel gear to obtain an initial imprint; performing static imprint analysis on the initial imprint, and in a case where it is determined that the initial imprint does not meet static imprint requirements, modifying the initial imprint to obtain a modified initial imprint meeting the static imprint requirements; modeling the spiral bevel gear based on second design parameters of the modified initial imprint to obtain a dynamic imprint and a transmission error, wherein the second design parameters include the first design parameters and machining parameters; performing analysis on the dynamic imprint and the transmission error, and in a case where it is determined that the dynamic imprint or the transmission error does not meet strength requirements or dynamic performance requirements, modifying the dynamic imprint to obtain a modified dynamic imprint meeting the strength requirements and the dynamic performance requirements; machining the spiral bevel gear based on at least modified second design parameters of the modified dynamic imprint, wherein the modified second design parameters include the first design parameters and modified machining parameters; performing a static imprint test on the machined spiral bevel gear to obtain a test imprint; and comparing the test imprint with the initial imprint, and further adjusting the modified machining parameters to make the test imprint consistent with the initial imprint.

[0007] In one embodiment of the present disclosure, the first design parameters include the following parameters: number of teeth, modulus, pressure angle, tooth width, and shaft intersection angle.

[0008] In another embodiment of the present disclosure, performing tooth surface design based on the first design parameters of the spiral bevel gear includes: setting the gear type as the spiral bevel gear, the machining method as the five-cutter method, the tooth surface machining as face milling, large gear generating machining, and small gear rolling ratio machining, using standard cutters, the tooth surface as finish grinding, and setting the cutter disc radius and the tooth side clearance.

[0009] In another embodiment of the present disclosure, the static imprint requirements include that when the static imprint is adjusted to the small end contact, the static imprint accounts for 40% to 60% of the tooth height and tooth length of the spiral bevel gear.

[0010] In another embodiment of the present disclosure, the modifying the initial print comprises adjusting the length, width and inclination of the face contact print.

[0011] In another embodiment of the present disclosure, the modeling the spiral bevel gear based on the second design parameters of the modified initial print to obtain the dynamic print and the transmission error further comprises: exporting the second design parameters of the modified initial print from the GEMS software to the MASTA software; establishing gear shaft, bearing and housing models based on the second design parameters, and establishing a spiral bevel gear system level model according to the gear shaft, bearing and housing models; setting bearing clearance and machining error, and applying working load to the spiral bevel gear system level model to perform LTCA analysis to obtain the dynamic print and the transmission error.

[0012] In a further embodiment of the present disclosure, the bearing clearance comprises an axial clearance of a ball bearing and a radial clearance of a rod bearing.

[0013] In another embodiment of the present disclosure, the modifying the dynamic print comprises: adjusting the length, width and inclination of the face contact print; and modifying the machining parameters to fine-tune the dynamic print until a modified dynamic print is obtained that meets the static print requirements, and the strength requirements and dynamic performance requirements.

[0014] In another embodiment of the present disclosure, the machining the spiral bevel gear based on at least the modified second design parameters of the modified dynamic print further comprises: setting a machine tool model, a cutting speed; machining the spiral bevel gear based on the modified second design parameters, the machine tool model, and the cutting speed; and performing 45-point coordinate value measurement on the tooth surface of the machined spiral bevel gear to determine that the spiral bevel gear that meets the tooth surface machining requirements is obtained.

[0015] In another embodiment of the present disclosure, the trial print comprises: a machine print, which is a print checked out by coloring the machined spiral bevel gear on a gear rolling tester; and an assembly print, which is a print checked out by coloring the tooth surface of the machined spiral bevel gear after the machined spiral bevel gear is installed with other components.

[0016] In another embodiment of the present disclosure, the trial print being consistent with the initial print comprises: errors of the trial print and the initial print in the length of the tooth tip end color trace free section, the length of the color trace along the tooth length, the tooth tip color trace free section length, the tooth tip midpoint effective working tooth height, and the height of the color trace along the tooth height are all less than 10%.

[0017] These and other features and advantages will be apparent from a reading of the following detailed description and a review of the associated drawings. It is to be understood that both the foregoing general description and the following detailed description are meant only to illustrate and not to limit the various aspects claimed. Attached Figure Description

[0018] To gain a more detailed understanding of the manner in which the features of the present invention are described above, reference can be made to various embodiments to provide a more specific description of the above-briefly summarized aspects, some of which are illustrated in the accompanying drawings. However, it should be noted that the drawings illustrate only certain typical aspects of the invention and should not be considered as limiting its scope, as this description may allow for other equivalent and effective aspects.

[0019] Figure 1 This is a flowchart of a method for modifying the tooth surface of an arc bevel gear according to an embodiment of the present invention.

[0020] Figure 2 This is a flowchart of a method for modifying the tooth surface of spiral bevel gears using GEMS and MASTA software according to an embodiment of the present invention.

[0021] Figure 3 This is a simulation diagram of the static analysis imprint of an arc bevel gear according to an embodiment of the present invention.

[0022] Figure 4 This is a simulation diagram of the dynamic analysis imprint of an arc bevel gear according to an embodiment of the present invention.

[0023] Figure 5a and Figure 5b This is a schematic diagram showing the transmission error analysis results of an arc bevel gear according to an embodiment of the present invention.

[0024] Figure 6 This is a schematic diagram of the detection of spiral bevel gears according to an embodiment of the present invention.

[0025] Figures 7a to 7d This is a simulation diagram comparing the static imprints of an arc bevel gear according to an embodiment of the present invention.

[0026] Figures 8a to 8d This is a simulation diagram of the active design results of the spiral bevel gear imprint according to an embodiment of the present invention.

[0027] The accompanying drawings are not drawn to scale. Detailed Implementation

[0028] Embodiments of this disclosure will now be described in more detail with reference to the accompanying drawings. While some embodiments of this disclosure are shown in the drawings, it should be understood that this disclosure can be implemented in various forms and should not be construed as limited to the embodiments set forth herein. Rather, these embodiments are provided to provide a more thorough and complete understanding of this disclosure. It should be understood that the accompanying drawings and embodiments of this disclosure are for illustrative purposes only and are not intended to limit the scope of protection of this disclosure.

[0029] In the description of the present disclosure, it should be noted that, unless otherwise specified, the meaning of "a plurality of" is more than two; the orientation or positional relationship indicated by the terms "upper", "lower", "left", "right", "inner", "outer" and the like is only for the purpose of facilitating the description of the present disclosure and simplifying the description, and does not indicate or imply that the device or element referred to must have a particular orientation, be constructed and operated in a particular orientation, and therefore cannot be understood as a limitation on the present disclosure. In addition, the terms "first", "second", "third", etc. are only for descriptive purposes and cannot be understood as indicating or implying relative importance. "Vertical" is not strictly vertical, but within the allowable range of error. "Parallel" is not strictly parallel, but within the allowable range of error.

[0030] The orientation words appearing in the following description are the directions shown in the drawings, and are not limited to the specific structure of the present disclosure. In the description of the present disclosure, it should also be noted that, unless otherwise explicitly specified and limited, the terms "mounting", "connection", "connection" should be broadly understood, for example, it can be fixedly connected, or it can be detachably connected, or integrally connected; it can be directly connected, or indirectly connected through an intermediate medium. For those skilled in the art, the specific meaning of the above terms in the present disclosure can be understood according to the specific circumstances.

[0031] Reference herein to "an embodiment" means that a particular feature, structure, or characteristic described in connection with the embodiment can be included in at least one embodiment of the present disclosure. The appearance of the phrase in various places in the specification does not necessarily all refer to the same embodiment, nor is it necessarily independent or alternative embodiments to each other. Those skilled in the art explicitly and implicitly understand that the embodiments described herein can be combined with other embodiments.

[0032] In the description of the embodiments of the present disclosure, the term "and / or" is only a description of the association relationship of the associated objects, which means that there can be three relationships, for example, A and / or B, which can mean that A exists alone, A and B exist together, and B exists alone. In addition, the character " / " in this paper generally represents that the front and rear associated objects have an "or" relationship.

[0033] Figure 1 is a flowchart of a tooth surface modification method for an arc tooth bevel gear according to an embodiment of the present application. As shown in Figure 1 In step 102, the tooth surface can be designed based on the first design parameters of the arc tooth bevel gear to obtain the initial print. For example, the first design parameters can include parameters such as the number of teeth, the module, the pressure angle, the tooth width, and the shaft intersection angle.

[0034] In one non-limiting embodiment, the tooth surface design in step 102 can include setting the gear type as a spiral bevel gear, the machining method as a five-cutter method, the tooth surface machining as face milling, large wheel generating machining, and small wheel rolling ratio machining, using a standard cutter, the tooth surface as a finish gear grinding, and setting the cutter disc radius and the tooth side clearance, etc.

[0035] In step 104, a static contact pattern analysis can be performed on the initial contact pattern, and the initial contact pattern can be modified to obtain a modified initial contact pattern satisfying the static contact pattern requirement in a case where the initial contact pattern is determined not to satisfy the static contact pattern requirement. The static contact pattern requirement can refer to that the static contact pattern occupies 40% to 60% of the tooth height and the tooth length of the spiral bevel gear when the static contact pattern is adjusted to the small end contact. The modification of the initial contact pattern in a case where the initial contact pattern is determined not to satisfy the static contact pattern requirement can include adjusting the length, width, and inclination of the tooth surface contact pattern.

[0036] In step 106, the spiral bevel gear can be modeled based on the second design parameters of the modified initial contact pattern to obtain a dynamic contact pattern and a transmission error, wherein the second design parameters can include the first design parameters and machining parameters.

[0037] Specifically, the second design parameters of the modified initial contact pattern can be exported from the GEMS software to the MASTA software, the gear shaft, bearing, and housing models can be established based on the second design parameters, the spiral bevel gear system level model can be established according to the gear shaft, bearing, and housing models, the bearing clearance and machining error can be set, and the working load can be applied to the spiral bevel gear system level model to perform the LTCA analysis, thereby obtaining the dynamic contact pattern and the transmission error. The bearing clearance can include the axial clearance of the ball bearing and the radial clearance of the rod bearing.

[0038] In step 108, the dynamic contact pattern and the transmission error can be analyzed, and the dynamic contact pattern can be modified to obtain a modified dynamic contact pattern satisfying the strength requirement and the dynamic performance requirement in a case where the dynamic contact pattern or the transmission error is determined not to satisfy the strength requirement or the dynamic performance requirement.

[0039] Specifically, the length, width, and inclination of the tooth surface contact pattern can be adjusted, and the machining parameters can be modified to fine-tune the dynamic contact pattern until the modified dynamic contact pattern satisfying the static contact pattern requirement, the strength requirement, and the dynamic performance requirement is obtained.

[0040] In step 110, the spiral bevel gear can be machined based at least on the modified second design parameters of the modified dynamic contact pattern, wherein the modified second design parameters include the first design parameters and the modified machining parameters.

[0041] Specifically, the machine tool model and cutting speed can be set. Then, based on the modified second design parameters, machine tool model, and cutting speed, the spiral bevel gear is machined, and the tooth surface of the machined spiral bevel gear is measured at 45 points to determine the spiral bevel gear that meets the tooth surface machining requirements.

[0042] In step 112, a static imprint test can be performed on the machined spiral bevel gear to obtain test imprints. The obtained test imprints can include machining imprints and assembly imprints. Machining imprints are imprints obtained by coloring and inspecting the machined spiral bevel gear on a gear rolling inspection machine, while assembly imprints are imprints obtained by coloring and inspecting the tooth surface of the machined spiral bevel gear after it has been assembled with other components.

[0043] In step 114, the test imprint can be compared with the initial imprint, and the modified processing parameters can be further adjusted to make the test imprint consistent with the initial imprint. Consistency between the test imprint and the initial imprint can be defined as follows: the errors in the length of the colorless segment at the small end of the tooth, the length of the colored segment along the tooth length, the length of the colorless segment at the tooth tip, the effective working tooth height at the midpoint of the tooth tip, and the height of the colored segment along the tooth height are all less than 10%.

[0044] Figure 2 This demonstrates how to achieve the following using GEMS and MASTA software: Figure 1 This is a specific embodiment of the method for modifying the tooth surface of spiral bevel gears as described in the article.

[0045] like Figure 2 As shown, in step 202, the preliminary design parameters of the spiral bevel gear (i.e., Figure 1 The initial design parameters (first design parameters) are used in GEMS software to perform preliminary tooth surface design and obtain initial imprints. The preliminary design parameters for spiral bevel gears can refer to macroscopic parameters such as the number of teeth, module, pressure angle, tooth width, and shaft intersection angle. The preliminary tooth surface design may include setting the gear type to spiral bevel gear, the machining method to the five-tool method, tooth surface machining using face milling, large gear generating machining, and small gear rolling ratio machining, using standard cutting tools, initially determining the cutter head radius, and finishing the tooth surface by grinding, with the tooth flank clearance given according to design requirements.

[0046] In step 204, a preliminary static imprint analysis can be performed on the designed tooth surface in the GEMS software. The initial imprint is analyzed using the TCA module in the GEMS software to determine whether the imprint meets the static imprint requirements (step 206). As a non-limiting embodiment, the static imprint requirement can refer to the imprint occupying approximately 50% of the tooth height and length when the initial imprint is adjusted to the smaller end contact. This is because an imprint that is too small will affect the smoothness of the transmission system, leading to increased vibration and noise; while an imprint that is too large is sensitive to installation errors, and the imprint is prone to exceeding the tooth surface during operation, making the imprint adjustment process cumbersome and difficult.Figure 3 The profile of an exemplary static imprint is shown, from top to bottom, respectively representing the modified position, the static imprint position, and the transmission error curve of the imprint. By analyzing (mainly through the static imprint position of the middle two images), it can be determined that the imprint meets the static imprint requirement, and then step 208 can be performed.

[0047] Conversely, if the designed imprint is found not to meet the static imprint requirement through the static imprint preliminary analysis, step 250 is performed to adjust the length, width and inclination of the tooth surface contact imprint through the TCA modification module, and then the static imprint preliminary analysis is performed again. Specifically, adjusting the length, width and inclination of the tooth surface contact imprint through the TCA modification module can include adjusting the blade angle, the contact length coefficient and the profile coefficient (Kp) to change the length and width of the contact imprint. After adjustment, it is generally found that the positive and negative adjustment of the blade angle does not exceed 1°, the contact length coefficient value is controlled within 0.35-0.5, and the Kp value is generally 2-6. Then the basic factor is adjusted to control the inclination of the imprint, the profile separation coefficient is adjusted to control the transmission error amplitude, the contact position coefficient is adjusted to control the movement of the tooth length direction imprint, and the offset distance is adjusted to control the movement of the tooth height direction imprint. Repeat the process until the modified initial imprint that meets the static imprint requirement is obtained, and then step 208 can be performed.

[0048] In step 208, after meeting the static imprint requirement, the bevel gear design parameters (i.e. Figure 1 the second design parameters in the GEMS software, which include the first design parameters and the machining parameters obtained in the tooth surface design process in the GEMS software) can be exported from the GEMS software to the MASTA software to realize accurate modeling of the tooth surface. For example, the.xml file can be exported from the GEMS software data output module and imported at Gleason GEMS XML Data in the MASTA software. Then specifically, the gear shaft, bearing and housing models can be established in the MASTA software, considering the meshing action of the gear pair and the support action of the bearing and housing, etc., to establish the bevel gear system level model.

[0049] At step 210, bearing clearances and machining errors can be set, a working load is applied to the gear system, and then an LTCA analysis is performed in the MASTA software to obtain a dynamic print and a transmission error, both of which are analyzed to determine whether they meet the strength and dynamic performance requirements (step 212). Among them, the bearing clearance can include the axial clearance of the ball bearing and the radial clearance of the rod bearing. The machining error has randomness, but the error range is affected by the system size chain, mainly reflected in the force transmission path of the casing and the shaft and bearing mounting surface, so the maximum machining error can be given by the tolerance value. In addition, the strength and dynamic performance requirements mean that the print area of each working state is large for strength, which is conducive to the load distribution of the tooth surface. The dynamic performance is measured by the transmission error, that is, the peak-to-peak value of the transmission error amplitude is required to be small, and the Fourier transform is dominant after the excitation of one times the meshing frequency, and the amplitude of the multiple frequency and other frequency is low. The specific value can be determined according to the working environment and the specific station.

[0050] Figure 4 A simulation diagram of an example dynamic analysis print of an arc tooth bevel gear is shown, which does not meet the requirement that the dynamic print is in the middle of the tooth surface, causing the root stress to concentrate, and does not meet the strength requirement. Figure 5 shows an example transmission error curve of an arc tooth bevel gear and its FFT diagram, which can be seen to meet the dynamic performance requirement.

[0051] For the determination of step 212, if the dynamic print and the transmission error meet the strength and dynamic performance requirements at the same time, proceed to step 214. Conversely, as shown in Figure 4 and Figure 5, as long as one of them does not meet the requirement, that is, does not meet the strength requirement, or does not meet the dynamic performance requirement, or does not meet the strength and dynamic performance requirements, proceed to step 252.

[0052] At step 252, the tooth surface that does not meet the dynamic print is modified. Specifically, the length, width and inclination of the tooth surface contact print can be adjusted again through the TCA modification module in the GEMS software, and the print is fine-tuned through the ease-off modification module in the GEMS software. For example, the ease-off modification module can mainly realize the fine-tuning of the print in each direction, including the length value and the movement of the print to the large end, the width value and the movement of the print to the tooth top and tooth root, the skew angle, etc. However, this modification method is prone to abnormal teeth, so the tooth appearance needs to be closely observed during the modification process. The adjusted tooth surface is again operated at steps 204 to 212 until the modified dynamic print that meets the strength requirement and the dynamic performance requirement is obtained, and then proceed to step 214.

[0053] At step 214, the tooth surface parameters can be determined, that is, Figure 1The modified second design parameters of the modified dynamic impression. The tooth surface parameters can include the preliminary design parameters and the modified machining parameters, wherein the modified machining parameters are the machining parameters adjusted by the GEMS software. Then the machining method is further set, and the settings can include the machine tool model, the cutting speed, etc.

[0054] In step 216, the gear can be machined according to the above settings. In further non-limiting examples, the machined tooth surface can also be measured for 45-point coordinate values to determine whether the tooth surface machining meets the accuracy requirements (step 218). Specifically, the 45-point coordinate value measurement can refer to sampling the machined tooth surface, 9 columns from the small end to the large end, and 5 rows from the addendum to the dedendum. The accuracy requirement can require that all deviations be less than the maximum allowable deviation of each point. For example, the accuracy requirement can be preset as needed, and the coordinate deviation values can be analyzed to determine whether the tooth surface machining meets the preset accuracy requirement. For gears that do not meet the preset accuracy requirement, return to step 216 for re-machining. In the case where the machined gear tooth surface meets the accuracy requirements, proceed to step 220.

[0055] In step 220, static impression tests can be performed on the machined gear to obtain the machining impression and the assembly impression (i.e., the test impression in Figure 1 ). The machining impression can refer to the impression drawn out by coloring inspection on a gear rolling tester (meshing machine) after the gear machining is completed, and the assembly impression can refer to the impression drawn out by coloring inspection on the tooth surface after the installation of all components such as the gear, bearing, and housing.

[0056] In step 222, the measured test impression (i.e., the machining impression and the assembly impression obtained in step 220) and the simulation analysis impression (i.e., the initial impression obtained in step 202) can be compared to determine whether they are consistent. If the impression consistency is met, the tooth surface impression active design method is completed. Specifically, as shown in Figure 6 , the impression consistency can refer to the tooth small end colorless segment length A, the color trace along the tooth length B, the addendum colorless segment length C, the addendum midpoint effective tooth height H, and the color trace along the tooth height h of the test impression and the simulation analysis impression, all of which have an error of less than 10%. For example, Figures 7a to 7d shows an exemplary static impression morphology of a test impression and an initial impression, wherein, Figure 7a and Figure 7b show the static impression of the measured size wheel, and Figure 7c and Figure 7d show the static impression of the simulated size wheel, which can meet the static impression consistency.

[0057] Conversely, if the comparison finds that the test imprint and the initial imprint do not satisfy the consistency, return to step 214 to check the simulation model, modify the processing method, and control the assembly error to ensure the consistency between the test imprint and the design imprint obtained in step 202, thereby realizing the tooth surface imprint active design method. Specifically, checking the simulation model may, for example, include checking whether the simulation model is consistent with the test, whether the working load is consistent, whether the processing error is accurate, whether the assembly error is introduced into the model, etc. Modifying the processing method may, for example, adjust the processing precision and the processing procedure, etc. Controlling the assembly error may, for example, ensure that each assembly error is within the design requirement range, and may be strictly required. For example, Figures 8a to 8d The results of the imprint active design shown in FIGS. 8 to 10 show that the initial imprint obtained by simulation and the test imprint are consistent. Figure 8a and Figure 8b The dynamic imprint of the measured size wheel is shown in FIGS. 8 to 10. Figure 8c and Figure 8d The dynamic imprint of the simulation size wheel is shown in FIGS. 8 to 10.

[0058] The above describes the tooth surface modification method of the present application for the tooth surface of the spiral bevel gear. On the one hand, the method designs the tooth surface of the bevel gear based on the dynamic imprint and the transmission error simulation result, and can solve the problem of passively selecting the tooth surface shape of the traditional bevel gear. On the one hand, the analysis model established by the method considers the housing, bearing and various errors, and can solve the problem that the dynamic imprint, the processing error of the spiral bevel gear, the processing error of the related supporting components, the system assembly error and the system deformation under load, etc. cause poor compliance with the ideal design imprint. On the other hand, the method designs the tooth surface based on the GEMS software, fully considers the feasibility of gear processing, and can solve the problem that the tooth surface based on the self-propelled formula does not have processing and does not meet the engineering actual demand. In addition, the method also fully considers the timeliness and economy of gear design, completes the structure adjustment before the vibration test, so as to save the engineering cost.

[0059] Compared with the prior art, the present application has at least the following advantages:

[0060] (1) A method for designing the tooth surface of the bevel gear based on the dynamic imprint and the transmission error simulation result is provided, which solves the problem of passively selecting the tooth surface shape of the traditional bevel gear, and ensures that the strength and dynamic performance of the tooth surface of the bevel gear meet the requirements in the design stage.

[0061] (2) An analysis model considering the processing error of the spiral bevel gear, the processing error of the related supporting components, the system assembly error and the system deformation under load is established, which solves the problem of poor compliance between the test imprint and the ideal design imprint, and ensures that the simulation analysis can effectively support the subsequent test and provide ideas for structure optimization.

[0062] (3) Based on GEMS software, the tooth surface is designed, and the feasibility of gear machining is fully considered. The problem that the tooth surface based on the self-propelled formula is not machinable and does not meet the engineering practical needs is solved. The theoretical analysis is applied to engineering practice.

[0063] (4) The timeliness and economy of gear design are also fully considered. The structural adjustment is completed before the vibration test, thereby saving the engineering cost.

[0064] The above-described content includes examples of aspects of the claimed subject matter. Of course, it is impossible to describe every conceivable combination of components or methods for purposes of describing the claimed subject matter, but one of ordinary skill in the art will recognize that many further combinations and permutations of the claimed subject matter are possible. Accordingly, the disclosed subject matter is intended to embrace all such alterations, modifications, and variations that fall within the spirit and scope of the appended claims.

Claims

1. A method of modifying a tooth surface of an arcuate-tooth bevel gear, characterized by, The method comprises: performing tooth surface design based on first design parameters of the spiral bevel gear to obtain an initial contact pattern; performing static contact pattern analysis on the initial contact pattern, and performing modification on the initial contact pattern to obtain a modified initial contact pattern that meets static contact pattern requirements in a case where it is determined that the initial contact pattern does not meet the static contact pattern requirements; modeling the spiral bevel gear based on second design parameters of the modified initial contact pattern to obtain a dynamic contact pattern and a transmission error, wherein the second design parameters include the first design parameters and machining parameters; performing analysis on the dynamic contact pattern and the transmission error, and performing modification on the dynamic contact pattern to obtain a modified dynamic contact pattern that meets strength requirements and dynamic performance requirements in a case where it is determined that the dynamic contact pattern or the transmission error does not meet the strength requirements or the dynamic performance requirements; machining the spiral bevel gear based on modified second design parameters of the modified dynamic contact pattern, wherein the modified second design parameters include the first design parameters and modified machining parameters; performing static contact pattern test on the machined spiral bevel gear to obtain a test contact pattern; and comparing the test contact pattern with the initial contact pattern, and further adjusting the modified machining parameters so that the test contact pattern is consistent with the initial contact pattern. The first design parameters include the following parameters: number of teeth, module, pressure angle, tooth width, and shaft intersection angle.

2. The method of claim 1, wherein, Performing tooth surface design based on first design parameters of the spiral bevel gear comprises:

3. The method of claim 1, wherein, setting the gear type as a spiral bevel gear, the machining method as a five-cutter method, the tooth surface machining as face milling, large-wheel generating machining, and small-wheel rolling ratio machining, using a standard cutter, the tooth surface as finish grinding, and setting the cutter head radius and the tooth side clearance. The static contact pattern requirements include that the static contact pattern occupies 40% to 60% of the tooth height and tooth length of the spiral bevel gear when the static contact pattern is adjusted to a smaller end contact.

4. The method of claim 1, wherein, Performing modification on the initial contact pattern includes adjusting the length, width, and inclination of the tooth surface contact pattern.

5. The method of claim 1, wherein, Modeling the spiral bevel gear based on second design parameters of the modified initial contact pattern to obtain a dynamic contact pattern and a transmission error further comprises:

6. The method of claim 1, wherein, exporting the second design parameters of the modified initial contact pattern from GEMS software to MASTA software; establishing gear shaft, bearing, and housing models based on the second design parameters, and establishing a spiral bevel gear system level model according to the gear shaft, bearing, and housing models; setting bearing clearances and machining errors, and applying working loads to the spiral bevel gear system level model to perform LTCA analysis to obtain the dynamic contact pattern and the transmission error. The bearing clearances include the axial clearance of a ball bearing and the radial clearance of a rod bearing.

7. The method of claim 6, wherein, Performing modification on the dynamic contact pattern includes:

8. The method of claim 1, wherein, adjusting the length, width, and inclination of the tooth surface contact pattern; and modifying the machining parameters to fine-tune the dynamic contact pattern until a modified dynamic contact pattern that meets the static contact pattern requirements, the strength requirements, and the dynamic performance requirements is obtained. ​ 9. The method of claim 1, wherein, Processing the spiral bevel gear based on at least the modified second design parameters of the modified dynamic profile further comprises: setting a machine tool model, a cutting speed; processing the spiral bevel gear based on the modified second design parameters, the machine tool model, and the cutting speed; and performing a 45-point coordinate value measurement on the tooth surface of the processed spiral bevel gear to determine that the spiral bevel gear meets the tooth surface processing requirements.

10. The method of claim 1, wherein, The test profile includes: a machine tool profile, the machine tool profile being a profile checked out by coloring the processed spiral bevel gear on a gear rolling tester; and an assembly profile, the assembly profile being a profile checked out by coloring the tooth surface of the processed spiral bevel gear after the processed spiral bevel gear is installed with other components.

11. The method of claim 1, wherein, The test profile coinciding with the initial profile includes: errors of the test profile and the initial profile in a length of a tooth tip no-color trace segment, a length of a color trace along a tooth length, a tooth tip no-color trace segment length, a tooth tip midpoint effective working tooth height, and a height of a color trace along a tooth height are all less than 10%.

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