Arc-tooth bevel gear end face and midpoint normal parameter conversion method, system and medium

Abstract

The invention relates to the technical field of spiral bevel gear design, and discloses a spiral bevel gear end face and midpoint normal parameter conversion method and system and a medium, and the method comprises the steps that spiral bevel gear end face parameters are obtained according to domestic standards, and the spiral bevel gear end face parameters comprise the large end face modulus, the spiral angle, the tip clearance coefficient, the tooth height coefficient, the driving wheel displacement coefficient and the tooth width; calculating a midpoint normal modulus needing to be converted according to the spiral bevel gear end surface parameters; and calculating a tooth height coefficient corresponding to the midpoint normal modulus according to the midpoint normal modulus, and calculating a displacement coefficient corresponding to the midpoint normal modulus according to the midpoint normal modulus and the tooth height coefficient corresponding to the midpoint normal modulus, thereby realizing high-precision parameter conversion. According to the invention, high-precision conversion of parameters can be realized on the basis of ensuring domestic standards.

Description

Technical Field

[0001] This invention relates to the field of spiral bevel gear design technology, and in particular to a method, system, and medium for converting the end face and midpoint normal parameters of a spiral bevel gear. Background Technology

[0002] Most spiral bevel gears in mechanical transmission systems are Gleason's equal-clearance spiral bevel gears. The design standard for spiral bevel gears is based on the large-end module; that is, the large-end module is determined first, and then other relevant parameters are calculated. However, spiral bevel gears have very complex geometry, making their design and manufacturing difficult. To improve the design efficiency of spiral bevel gears, software-aided design is usually used.

[0003] Currently, commonly used computer-aided design (CAD) software is user-friendly, feature-rich, and comprehensive (capable of simultaneously calculating the entire transmission chain and all shafts and bearings, including three major strength parameters, vibration, lifespan, and rotor dynamics), providing reliable results and is widely used in the domestic machinery industry. However, existing CAD software, especially some imported spiral bevel gear design software (such as Kisssoft), is based on the midpoint normal module. When using this type of software for gear design, it cannot adhere to domestic parameter standards, creating obstacles for processes and manufacturing. Furthermore, even after simple mathematical transformations of the parameters before inputting them into the design software, there are still problems with large transformation errors and low accuracy. Summary of the Invention

[0004] Therefore, the technical problem to be solved by the present invention is to overcome the shortcomings of the prior art and provide a method, system and medium for converting the end face and midpoint normal parameters of spiral bevel gears, which can achieve high-precision conversion of parameters while ensuring domestic standards.

[0005] To solve the above technical problems, the present invention provides a method for converting the normal parameters of the end face and midpoint of an arc bevel gear, comprising: Obtain the end face parameters of the spiral bevel gear according to domestic standards. The end face parameters of the spiral bevel gear include the large end face module, helix angle, clearance coefficient, tooth height coefficient, drive gear displacement coefficient, and tooth width. Calculate the midpoint normal module that needs to be converted based on the end face parameters of the spiral bevel gear. The tooth height coefficient corresponding to the midpoint normal module is calculated based on the midpoint normal module, and the displacement coefficient corresponding to the midpoint normal module is calculated based on the midpoint normal module and the tooth height coefficient corresponding to the midpoint normal module, thereby achieving high-precision parameter conversion.

[0006] Furthermore, the method for calculating the midpoint normal modulus is as follows: , In the formula, The midpoint normal modulus, denoted as the large end face module, B as the midpoint normal module correction coefficient, R as the outer cone distance, and b as the tooth width.

[0007] Furthermore, the method for calculating the midpoint normal modulus correction coefficient is as follows: , In the formula, ! represents factorial, and N represents the order. It is the helix angle.

[0008] Furthermore, the method for calculating the tooth height coefficient corresponding to the midpoint normal module is as follows: , In the formula, Ham' is the tooth height coefficient corresponding to the midpoint normal module, k1 is the correction coefficient for the tooth height coefficient corresponding to the midpoint normal module, Ham1 is the addendum of the driving gear at the midpoint, and Hfm1 is the dedendum of the driving gear at the midpoint. Cm' is the midpoint normal modulus, and Cm' is the gap coefficient corresponding to the midpoint normal modulus.

[0009] Furthermore, the method for calculating the tooth tip height at the midpoint of the drive wheel is as follows: , In the formula, Ha1 is the addendum of the driving gear, k2 is the correction coefficient for the addendum of the driving gear at the midpoint, b is the tooth width, and A is the coefficient obtained by fitting the root angle of the driven gear.

[0010] Furthermore, the calculation method for the coefficients obtained by fitting the root angle of the passive gear teeth is as follows: , In the formula, denoted as the root angle of the passive gear tooth, and a1, a2, a3, a4, and a5 are fitting coefficients.

[0011] Furthermore, the method for calculating the root height of the drive wheel at the midpoint is as follows: , In the formula, R is the outer cone distance, k3 is the correction coefficient for the root height of the driving gear at the midpoint, b is the tooth width, and A is the coefficient obtained by fitting the root angle of the driven gear.

[0012] Furthermore, the method for calculating the displacement coefficient corresponding to the midpoint normal modulus is as follows: , In the formula, X1m' is the displacement coefficient corresponding to the midpoint normal module, and Ham1 is the addendum at the midpoint of the driving gear. is the midpoint normal module, and Ham' is the tooth height coefficient corresponding to the midpoint normal module.

[0013] The present invention also provides a system for converting the end face and midpoint normal parameters of a spiral bevel gear, comprising: The data acquisition module is used to acquire the end face parameters of the spiral bevel gear according to domestic standards. The end face parameters of the spiral bevel gear include the large end face module, helix angle, clearance coefficient, tooth height coefficient, drive gear displacement coefficient, and tooth width. The parameter conversion module is used to calculate the midpoint normal module to be converted based on the end face parameters of the spiral bevel gear, calculate the tooth height coefficient corresponding to the midpoint normal module based on the midpoint normal module, and calculate the displacement coefficient corresponding to the midpoint normal module based on the midpoint normal module and the tooth height coefficient corresponding to the midpoint normal module, thereby achieving high-precision parameter conversion.

[0014] The present invention also provides a medium for converting the end face and midpoint normal parameters of an arc bevel gear, wherein a computer program is stored thereon, and when the computer program is executed by a processor, the method for converting the end face and midpoint normal parameters of the arc bevel gear is implemented.

[0015] Compared with the prior art, the above-described technical solution of the present invention has the following advantages: This invention obtains the end face parameters of the spiral bevel gear and calculates the midpoint normal module, the corresponding tooth height coefficient, and the corresponding displacement coefficient based on the large end face module, helix angle, clearance coefficient, tooth height coefficient, drive gear displacement coefficient, and tooth width. This allows for high-precision conversion of parameters while ensuring compliance with domestic standards. Attached Figure Description

[0016] To make the content of this invention easier to understand, the invention will be further described in detail below with reference to specific embodiments and accompanying drawings, wherein: Figure 1 This is a schematic diagram of the geometric structure of an arc bevel gear.

[0017] Figure 2 for Figure 1 K-direction view of the medium-arc bevel gear.

[0018] Figure 3 This is a flowchart of a method in a preferred embodiment of the present invention.

[0019] Explanation of the markings on the attached drawings: 1. Large end face; 2. Small end face; 3. Top gap; 4. Midpoint. Detailed Implementation

[0020] The present invention will be further described below with reference to the accompanying drawings and specific embodiments, so that those skilled in the art can better understand and implement the present invention. However, the embodiments described are not intended to limit the present invention.

[0021] The geometry of spiral bevel gears is as follows: Figure 1 As shown. Figure 1 In the middle, all the tooth lines converge at a single point, namely the apex of the cone. For the active gear pitch cone angle, For the passive wheel pitch cone angle, It is the cone angle of the driving gear tip (i.e., the cone angle where the tooth tip is located). For the passive wheel top cone angle, It is the cone angle at the root of the active gear (i.e., the cone angle where the tooth root is located). This refers to the passive wheel root cone angle. Typically, the segmental cone angle, apex cone angle, and root cone angle converge at the same cone apex. , .

[0022] Outer End (1) refers to the circular end face with the largest diameter. Figure 1 The outer end of the gear. The small end face 2 (Inner End) refers to the end closest to the cone apex with the smallest diameter. Figure 1 middle, The pitch circle diameter of the driving gear. The pitch circle diameter of the driven wheel. The tip circle diameter of the driving gear tooth. It is the tip circle diameter of the passive gear tooth.

[0023] The tooth height gradually decreases from the large end face to the small end face, and the parameters of the small end face are usually obtained by reducing the parameters of the large end face according to the taper ratio. Figure 1 middle, The addendum of the driving gear tooth (i.e., from the pitch circle to the tooth tip). For the passive gear tooth tip height, The root height of the driving gear tooth (i.e., from the pitch circle to the tooth root). denoted as denoted as the root height of the driven gear tooth, b as the tooth width (i.e., the axial distance from the large end face to the small end face), and R as the outer cone distance (i.e., the distance from the cone tip to the large end face). This is the distance from the mounting reference surface to the large end face of the gear (i.e., the mounting dimension). The distance from the mounting reference surface to the small end face of the gear. This refers to the shoulder height or mounting step height of the large end face. This refers to the shoulder height or mounting step height of the small end face. The pressure angle at the tip of the driving gear tooth. The passive gear tooth tip pressure angle, For the root angle of the driving gear teeth, It is the root angle of the passive gear tooth.

[0024] The K-axis view of the spiral bevel gear is as follows: Figure 2 As shown, Figure 2 middle, The midpoint helix angle refers to the midpoint between the large and small end faces. The helix angle is the key difference between spiral bevel gears and straight bevel gears. The tooth line is arc-shaped, and there is a definite helix angle at the midpoint, which determines the smoothness of the transmission and the noise level.

[0025] like Figure 3 As shown, this invention discloses a method for converting the normal parameters of the end face and midpoint of an arc bevel gear, comprising the following steps: S1: Obtain the end face parameters of the spiral bevel gear according to national standards, aviation standards, and other domestic standards.

[0026] The obtained end face parameters of the spiral bevel gear include the module of the large end face ( ), helix angle ( ), clearance coefficient (C'), tooth height coefficient (Ha'), drive gear displacement coefficient (X1), and tooth width (b).

[0027] In this embodiment, the module of the large end face is first determined based on the load size and rotational speed. ) and helix angle ( The initial value of the large end face module is obtained by referring to national standards, aviation standards, or gear design manuals, and then by performing trial calculations and modifications. ) and helix angle ( Clearance coefficient (C') and tooth height coefficient (Ha') are inherent parameters of spiral bevel gears, while drive gear displacement coefficient (X1) is a design parameter of spiral bevel gears.

[0028] S2: Calculate the midpoint normal module to be converted based on the end face parameters of the spiral bevel gear. The calculation method for the midpoint normal module is as follows: , In the formula, The midpoint normal modulus, Let N be the large end-face module, and N be the order. The value of N is adjusted according to the actual situation. In this embodiment, N=4, and ! represents factorial. R is the helix angle, R is the outer cone distance, and b is the tooth width.

[0029] S3: Calculate the tooth height coefficient corresponding to the midpoint normal module based on the midpoint normal module.

[0030] The calculation method for the tooth height coefficient corresponding to the midpoint normal module is as follows: , In the formula, Ham' is the tooth height coefficient corresponding to the midpoint normal module, k1 is the correction coefficient of the tooth height coefficient corresponding to the midpoint normal module, and the value of k1 is adjusted according to the actual situation. In this embodiment, k1=0.5, Ham1 is the addendum of the midpoint tooth of the driving gear, and Hfm1 is the dedendum of the midpoint tooth of the driving gear. Cm' is the midpoint normal modulus, and Cm' is the gap coefficient corresponding to the midpoint normal modulus.

[0031] The method for calculating the addendum of the driving gear at the midpoint is as follows: , In the formula, Ha1 is the addendum of the driving gear, k2 is the correction coefficient of the addendum of the driving gear at the midpoint, the value of k2 is adjusted according to the actual situation, in this embodiment k2=0.5, b is the tooth width, and A is the coefficient obtained by fitting the root angle of the driven gear. The calculation method for the coefficients obtained by fitting the root angle of the passive gear teeth is as follows: , In the formula, The passive gear tooth root angle is denoted by a1, a2, a3, a4, and a5, which are fitting coefficients. The values ​​of a1, a2, a3, a4, and a5 are adjusted according to the actual situation. In this embodiment, a1=1, a2=1 / 3, a3=2 / 15, a4=17 / 315, and a5=62 / 2835.

[0032] The calculation method for Ha1 is as follows: Ha' is the tooth height coefficient, and X1 is the displacement coefficient of the driving wheel (the displacement coefficient of the driven wheel has the same value but is negative).

[0033] The calculation method is as follows: .

[0034] For the high root of the passive gear teeth, C' is the porosity coefficient.

[0035] The method for calculating the root height at the midpoint of the driving gear is as follows: , In the formula, R is the outer cone distance, k3 is the correction coefficient for the root height of the driving wheel at the midpoint, the value of k3 is adjusted according to the actual situation, in this embodiment k3=0.5, b is the tooth width, and A is the coefficient obtained by fitting the root angle of the driven wheel.

[0036] The method for calculating Cm' is as follows: C' is the porosity coefficient.

[0037] S4: Calculate the displacement coefficient corresponding to the midpoint normal module based on the midpoint normal module and the tooth height coefficient corresponding to the midpoint normal module to achieve high-precision parameter conversion.

[0038] The method for calculating the displacement coefficient corresponding to the midpoint normal modulus is as follows: , In the formula, X1m' is the displacement coefficient corresponding to the midpoint normal module, and Ham1 is the addendum at the midpoint of the driving gear. is the midpoint normal module, and Ham' is the tooth height coefficient corresponding to the midpoint normal module.

[0039] Midpoint normal modulus ( The tooth height coefficient (Ham') and the displacement coefficient (X1m') corresponding to the midpoint normal module are parameters required for subsequent design of spiral bevel gears using software (such as Kisssoft).

[0040] This invention also discloses a system for converting the end face and midpoint normal parameters of an arc bevel gear, comprising: The data acquisition module is used to acquire the end face parameters of the spiral bevel gear according to domestic standards. The end face parameters of the spiral bevel gear include the large end face module, helix angle, clearance coefficient, tooth height coefficient, drive gear displacement coefficient, and tooth width. The parameter conversion module is used to calculate the midpoint normal module to be converted based on the end face parameters of the spiral bevel gear, calculate the tooth height coefficient corresponding to the midpoint normal module based on the midpoint normal module, and calculate the displacement coefficient corresponding to the midpoint normal module based on the midpoint normal module and the tooth height coefficient corresponding to the midpoint normal module.

[0041] The present invention also discloses a medium for converting the end face and midpoint normal parameters of an arc bevel gear, which is a computer-readable storage medium storing a computer program thereon. When the computer program is executed by a processor, it implements a method for converting the end face and midpoint normal parameters of an arc bevel gear.

[0042] The present invention also discloses a device for converting the end face and midpoint normal parameters of a spiral bevel gear, comprising a memory, a processor, and a computer program stored in the memory and executable on the processor. When the processor executes the computer program, it implements a method for converting the end face and midpoint normal parameters of the spiral bevel gear.

[0043] This invention obtains the end face parameters of spiral bevel gears and calculates the midpoint normal module, the corresponding tooth height coefficient, and the corresponding displacement coefficient based on the large end face module, helix angle, clearance coefficient, tooth height coefficient, drive gear displacement coefficient, and tooth width. The calculation and conversion process not only incorporates geometric changes but also performs targeted fitting and parameter correction based on the structure of each part. This achieves high-precision parameter conversion while adhering to domestic standards, facilitating gear design software and significantly improving the design quality, efficiency, and cycle time of spiral bevel gears.

[0044] This invention has been applied in engineering. Compared with traditional methods of directly using parameters or simple mathematical parameter conversion, this invention can improve efficiency by at least 10 times and reduce gear vibration and noise by about 30%, proving that this invention can achieve high-precision parameter conversion.

[0045] Those skilled in the art will understand that embodiments of this application can be provided as methods, systems, or computer program products. Therefore, this application can take the form of a completely hardware embodiment, a completely software embodiment, or an embodiment combining software and hardware aspects. Furthermore, this application can take the form of a computer program product embodied on one or more computer-usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) containing computer-usable program code.

[0046] This application is described with reference to flowchart illustrations and / or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of this application. It will be understood that each block of the flowchart illustrations and / or block diagrams, and combinations of blocks in the flowchart illustrations and / or block diagrams, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, special-purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, generate instructions for implementing the flowchart... Figure 1 One or more processes and / or boxes Figure 1 A device that provides the functions specified in one or more boxes.

[0047] These computer program instructions may also be stored in a computer-readable storage medium that can direct a computer or other programmable data processing device to function in a particular manner, such that the instructions stored in the computer-readable storage medium produce an article of manufacture including instruction means, which are implemented in a process Figure 1 One or more processes and / or boxes Figure 1 The function specified in one or more boxes.

[0048] These computer program instructions may also be loaded onto a computer or other programmable data processing equipment to cause a series of operational steps to be performed on the computer or other programmable equipment to produce a computer-implemented process, thereby providing instructions that execute on the computer or other programmable equipment for implementing the process. Figure 1 One or more processes and / or boxes Figure 1 The steps of the function specified in one or more boxes.

[0049] Obviously, the above embodiments are merely illustrative examples for clear explanation and are not intended to limit the implementation. Those skilled in the art will recognize that other variations or modifications can be made based on the above description. It is neither necessary nor possible to exhaustively list all possible implementations here. However, obvious variations or modifications derived therefrom are still within the scope of protection of this invention.

Claims

1. A method for converting the normal parameters of the end face and midpoint of an arc-tooth bevel gear, characterized in that, include: Obtain the end face parameters of the spiral bevel gear according to domestic standards. The end face parameters of the spiral bevel gear include the large end face module, helix angle, clearance coefficient, tooth height coefficient, drive gear displacement coefficient, and tooth width. Calculate the midpoint normal module that needs to be converted based on the end face parameters of the spiral bevel gear. The tooth height coefficient corresponding to the midpoint normal module is calculated based on the midpoint normal module, and the displacement coefficient corresponding to the midpoint normal module is calculated based on the midpoint normal module and the tooth height coefficient corresponding to the midpoint normal module, thereby achieving high-precision parameter conversion.

2. The method for converting the end face and midpoint normal parameters of an arc bevel gear according to claim 1, characterized in that: The method for calculating the midpoint normal modulus is as follows: ， In the formula, The midpoint normal modulus, denoted as the large end face module, B as the midpoint normal module correction coefficient, R as the outer cone distance, and b as the tooth width.

3. The method for converting the end face and midpoint normal parameters of an arc bevel gear according to claim 2, characterized in that: The method for calculating the midpoint normal modulus correction coefficient is as follows: ， In the formula, ! represents factorial, and N represents the order. It is the helix angle.

4. The method for converting the end face and midpoint normal parameters of an arc bevel gear according to claim 1, characterized in that: The method for calculating the tooth height coefficient corresponding to the midpoint normal module is as follows: ， In the formula, Ham' is the tooth height coefficient corresponding to the midpoint normal module, k1 is the correction coefficient for the tooth height coefficient corresponding to the midpoint normal module, Ham1 is the addendum of the driving gear at the midpoint, and Hfm1 is the dedendum of the driving gear at the midpoint. Cm' is the midpoint normal modulus, and Cm' is the gap coefficient corresponding to the midpoint normal modulus.

5. The method for converting the end face and midpoint normal parameters of an arc bevel gear according to claim 4, characterized in that: The method for calculating the tooth tip height at the midpoint of the drive wheel is as follows: ， In the formula, Ha1 is the addendum of the driving gear, k2 is the correction coefficient for the addendum of the driving gear at the midpoint, b is the tooth width, and A is the coefficient obtained by fitting the root angle of the driven gear.

6. The method for converting the end face and midpoint normal parameters of an arc bevel gear according to claim 5, characterized in that: The calculation method for the coefficients obtained by fitting the root angle of the passive gear teeth is as follows: ， In the formula, denoted as the root angle of the passive gear tooth, and a1, a2, a3, a4, and a5 are fitting coefficients.

7. The method for converting the end face and midpoint normal parameters of an arc bevel gear according to claim 4, characterized in that: The method for calculating the root height of the drive wheel at its midpoint is as follows: ， In the formula, R is the outer cone distance, k3 is the correction coefficient for the root height of the driving gear at the midpoint, b is the tooth width, and A is the coefficient obtained by fitting the root angle of the driven gear.

8. The method for converting the end face and midpoint normal parameters of an arc bevel gear according to claim 1, characterized in that: The method for calculating the displacement coefficient corresponding to the midpoint normal modulus is as follows: ， In the formula, X1m' is the displacement coefficient corresponding to the midpoint normal module, and Ham1 is the addendum at the midpoint of the driving gear. is the midpoint normal module, and Ham' is the tooth height coefficient corresponding to the midpoint normal module.

9. A system for converting the end face and midpoint normal parameters of an arc-tooth bevel gear, characterized in that, include: The data acquisition module is used to acquire the end face parameters of the spiral bevel gear according to domestic standards. The end face parameters of the spiral bevel gear include the large end face module, helix angle, clearance coefficient, tooth height coefficient, drive gear displacement coefficient, and tooth width. The parameter conversion module is used to calculate the midpoint normal module to be converted based on the end face parameters of the spiral bevel gear, calculate the tooth height coefficient corresponding to the midpoint normal module based on the midpoint normal module, and calculate the displacement coefficient corresponding to the midpoint normal module based on the midpoint normal module and the tooth height coefficient corresponding to the midpoint normal module, thereby achieving high-precision parameter conversion.

10. A medium for converting the end face and midpoint normal parameters of an arc bevel gear, wherein a computer program is stored thereon, characterized in that: When executed by a processor, the computer program implements the method for converting the end face and midpoint normal parameters of an arc bevel gear as described in any one of claims 1-8.

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