A design method and device of gear holes of a multi-effect root hole gear, a computer device and a medium

By designing gear holes at the root of the gear teeth and optimizing gear parameters and structure, the problems of gear heat dissipation, resonance, and excessive stiffness were solved, and the overall performance of the gear system was improved.

CN121580548BActive Publication Date: 2026-05-15TAIHANG NATIONAL LABORATORY
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Patent Information

Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
TAIHANG NATIONAL LABORATORY
Filing Date
2026-01-27
Publication Date
2026-05-15

AI Technical Summary

Technical Problem

Existing technologies cannot simultaneously address gear heat dissipation, prevent gear system resonance, and adjust excessive gear stiffness, resulting in high design complexity and low efficiency.

Method used

By designing gear holes at the root of the gear teeth, calculating the critical section and constraint conditions based on gear parameters, and adjusting the initial parameters of the gear holes until the bending strength, contact strength, and stiffness standards are met, the overall structural optimization of the multi-effect root hole gear is achieved.

Benefits of technology

It solves the problems of insufficient gear heat dissipation, structural resonance and excessive stiffness, improves thermal management capabilities, avoids resonance risks, optimizes gear stiffness, reduces design complexity, and improves the efficiency and reliability of aerospace transmission systems.

✦ Generated by Eureka AI based on patent content.

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Abstract

Embodiments of the present application provide a design method and device for gear holes of multi-effect root hole gears, computer equipment and a medium, relating to the technical field of gear design, wherein the method comprises the following steps: calculating the rectangular height and the root thickness of the gear based on gear parameters, determining the constraint conditions of the gear hole position through the dangerous section, the rectangular height and the root thickness, and determining the initial parameters of the gear hole based on the constraint conditions; determining the overall structure of the multi-effect root hole gear based on the gear parameters and the initial parameters of the gear hole; judging whether the standard requirements are met based on the overall structure of the multi-effect root hole gear, and if the standard requirements are not met, adjusting the initial position of the gear hole based on the constraint conditions until the bending strength, contact strength and stiffness all meet the standard requirements, and outputting the design parameters of the adjusted gear hole. The gear hole excavated in the root area solves the problems of insufficient heat dissipation, structural resonance and excessive meshing stiffness in the aviation gear system.
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Description

Technical Field

[0001] This invention relates to the field of gear design technology, and in particular to a method, apparatus, computer equipment, and medium for designing the gear bore of a multi-effect root hole gear. Background Technology

[0002] Gear drives, with their significant advantages such as compact structure, high transmission efficiency, reliable operation, and long service life, are widely used in aerospace power and transmission systems. Furthermore, aerospace gears must operate stably for extended periods under harsh conditions, including specific loads, speeds, and temperature ranges.

[0003] Currently, traditional gear systems suffer from problems such as insufficient heat dissipation, structural resonance, and excessive stiffness during gear meshing. Insufficient heat dissipation is mainly addressed by optimizing lubrication design and gear materials; avoiding resonance in gear systems primarily relies on increasing system support stiffness or optimizing gear parameters; excessive gear stiffness is mainly adjusted through shape modification or material improvement. However, these problems often require multiple solutions, significantly increasing design complexity and leading to inefficiency.

[0004] There is an urgent need to establish a gear hole parameter design method that can balance gear heat dissipation, avoid gear system resonance, and adjust excessive gear stiffness. Summary of the Invention

[0005] In view of this, embodiments of the present invention provide a method, apparatus, computer equipment, and medium for designing the gear bore of a multi-effect root-hole gear, to solve the technical problems in the prior art that cannot simultaneously address gear heat dissipation, avoid gear system resonance, and adjust excessive gear stiffness. The method includes:

[0006] The rectangular height of the gear is calculated based on the gear parameters. h r and tooth root thickness S f Obtain the critical section of the gear, and through the critical section and the rectangular height h r and the tooth root thickness S f Determine the constraints for the position of the gear hole, and determine the initial parameters of the gear hole based on the constraints;

[0007] Based on the gear parameters and the initial parameters of the gear hole, the overall structure of the multi-effect root hole gear is determined, wherein the initial parameters of the gear hole include the initial length, initial height and initial center point position of the gear hole;

[0008] Based on the overall structure of the multi-effect root hole gear, determine whether the bending strength, contact strength, and stiffness of the multi-effect root hole gear meet the standard requirements. If they do not meet the standard requirements, adjust the initial position of the gear hole based on the constraint conditions until the bending strength, contact strength, and stiffness all meet the standard requirements, and output the adjusted design parameters of the gear hole.

[0009] This invention also provides a design device for the gear bore of a multi-effect root-hole gear, to solve the technical problems in the prior art that cannot simultaneously address gear heat dissipation, avoid gear system resonance, and adjust excessive gear stiffness. The device includes:

[0010] The module for determining the initial parameters of the gear hole is used to calculate the rectangular height of the gear based on the gear parameters. h r and tooth root thickness S f Obtain the critical section of the gear, and through the critical section and the rectangular height h r and the tooth root thickness S f Determine the constraints for the position of the gear hole, and determine the initial parameters of the gear hole based on the constraints;

[0011] A root hole gear structure determination module is used to determine the overall structure of the multi-effect root hole gear based on the gear parameters and the initial parameters of the gear hole, wherein the initial parameters of the gear hole include the initial length, initial height and initial center point position of the gear hole;

[0012] The design parameter iteration module is used to determine whether the bending strength, contact strength, and stiffness of the multi-effect root hole gear meet the standard requirements based on the overall structure of the multi-effect root hole gear. If the standard requirements are not met, the initial position of the gear hole is adjusted based on the constraint conditions until the bending strength, contact strength, and stiffness all meet the standard requirements, and the adjusted design parameters of the gear hole are output.

[0013] This invention also provides a computer device, including 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 the gear hole design method for any of the above-mentioned multi-effect root hole gears, thereby solving the technical problems in the prior art that cannot simultaneously consider gear heat dissipation, avoid gear system resonance, and adjust excessive gear stiffness.

[0014] This invention also provides a computer-readable storage medium storing a computer program that executes the gear hole design method for any of the above-described multi-effect root hole gears, in order to solve the technical problems in the prior art that cannot simultaneously address gear heat dissipation, avoid gear system resonance, and adjust excessive gear stiffness.

[0015] Compared with the prior art, the beneficial effects that at least one technical solution adopted in the embodiments of this specification can achieve include at least:

[0016] The gear holes drilled in the tooth root region solved the problems of insufficient heat dissipation, structural resonance, and excessive meshing stiffness in aerospace gear systems. Attached Figure Description

[0017] To more clearly illustrate the technical solutions of the embodiments of this application, the drawings used in the embodiments will be briefly introduced below. Obviously, the drawings described below are only some embodiments of this application. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0018] Figure 1 This is a flowchart of a gear hole design method for a multi-effect root hole gear provided in an embodiment of the present invention;

[0019] Figure 2 This is a flowchart of a gear hole design method for implementing the above-described multi-effect root hole gear, provided by an embodiment of the present invention;

[0020] Figure 3 This is a schematic diagram of the nominal bending stress of a gear provided in an embodiment of the present invention;

[0021] Figure 4 This is a schematic diagram of the gear rectangle height, tooth root thickness, and gear provided in an embodiment of the present invention;

[0022] Figure 5 This is a schematic diagram of gear drilling provided in an embodiment of the present invention;

[0023] Figure 6 This is a structural block diagram of a computer device provided in an embodiment of the present invention;

[0024] Figure 7 This is a structural block diagram of a gear hole design device for a multi-effect root hole gear provided in an embodiment of the present invention. Detailed Implementation

[0025] The embodiments of this application will now be described in detail with reference to the accompanying drawings.

[0026] The following specific examples illustrate the implementation of this application. Those skilled in the art can easily understand other advantages and effects of this application from the content disclosed in this specification. Obviously, the described embodiments are only a part of the embodiments of this application, and not all of them. This application can also be implemented or applied through other different specific embodiments, and the details in this specification can also be modified or changed based on different viewpoints and applications without departing from the spirit of this application. It should be noted that, in the absence of conflict, the following embodiments and features in the embodiments can be combined with each other. Based on the embodiments in this application, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of this application.

[0027] In this embodiment of the invention, a method for designing the gear hole of a multi-effect root hole gear is provided, such as... Figure 1 and Figure 2 As shown, the method includes:

[0028] Step S101: Calculate the rectangular height of the gear based on the gear parameters. h r and tooth root thickness S f Obtain the critical section of the gear, and through the critical section and the rectangular height h r and the tooth root thickness S f Determine the constraints for the position of the gear hole, and determine the initial parameters of the gear hole based on the constraints;

[0029] Step S102: Based on the gear parameters and the initial parameters of the gear hole, determine the overall structure of the multi-effect root hole gear, wherein the initial parameters of the gear hole include the initial length, initial height and initial center point position of the gear hole;

[0030] Step S103: Based on the overall structure of the multi-effect root hole gear, determine whether the bending strength, contact strength, and stiffness of the multi-effect root hole gear meet the standard requirements. If they do not meet the standard requirements, adjust the initial position of the gear hole based on the constraint conditions until the bending strength, contact strength, and stiffness all meet the standard requirements, and output the adjusted design parameters of the gear hole.

[0031] In specific implementation, the overall structure based on the multi-effect root hole gear is achieved through the following steps: determining whether the bending strength, contact strength, and stiffness of the multi-effect root hole gear meet the standard requirements; if not, adjusting the initial position of the gear hole based on the constraint conditions until the bending strength, contact strength, and stiffness all meet the standard requirements; and outputting the adjusted design parameters of the gear hole.

[0032] The bending strength of the multi-effect root-hole gear is calculated using the gear parameters and the critical section. It is then determined whether the bending strength exceeds a set bending strength standard. If so, the contact strength of the multi-effect root-hole gear is calculated. If not, the initial parameters of the gear hole are adjusted based on the constraint conditions, and the bending strength of the multi-effect root-hole gear is recalculated. Next, it is determined whether the contact strength exceeds a set contact strength standard. If so, the stiffness of the multi-effect root-hole gear is calculated. If not, the initial parameters of the gear hole are adjusted based on the constraint conditions, and the bending strength of the multi-effect root-hole gear is recalculated. Finally, it is determined whether the stiffness is within a set stiffness range. If so, the adjusted design parameters of the gear hole are output. If not, the initial parameters of the gear hole are adjusted based on the constraint conditions, and the bending strength of the multi-effect root-hole gear is recalculated.

[0033] In specific implementation, the bending strength of the multi-effect root hole gear is calculated using the gear parameters and the critical section through the following steps:

[0034] Calculate the bending strength of multi-effect root hole gears ,in, The horizontal component of the normal load. This is the bending lever arm when a load is applied to the tooth tip. m For modulus, The angle of application of the normal load at the tooth tip. b For tooth width, The root thickness of the critical section is [missing information]. This is the pressure angle.

[0035] In practice, the contact strength of the multi-effect root hole gear is calculated through the following steps:

[0036] Calculate the combined radius of curvature at the tooth contact point. ,in, Let be the radius of curvature of the drilled gear at the meshing point. The radius of curvature of the gear meshing with the drilled gear at the meshing point. The pitch circle diameter of the drilled gear. The pitch circle diameter of the gear that meshes with the drilled gear. The end face meshing angle of the drilled gear. The end face meshing angle of the gear meshing with the drilled gear; calculate the load per unit tooth width. ,in, The tangential force on the circumference of the base circle. L Total contact wire length; load per unit tooth width The tooth surface contact stress value was calculated. The tooth surface contact stress value As for contact strength, among which, Let be any radius of curvature of a pair of meshing gears. and These are the elastic moduli of a pair of meshing gears. and These are the Poisson's ratios of a pair of meshing gears.

[0037] In practice, the stiffness of the multi-effect root-hole gear is calculated through the following steps:

[0038] Calculate the load per unit tooth width of the gear teeth ,in, b For gear width, F The load on the gear; the load per unit tooth width of the gear teeth. w The gear compliance was calculated. ,in, δ The total deformation of the gear teeth; through the gear compliance q The stiffness of the multi-effect root hole gear was calculated. .

[0039] In specific implementation, the following steps are used to achieve passage through the dangerous section and the rectangular height. h r and the tooth root thickness S f Determine the constraints for the position of the gear hole, and determine the initial parameters of the gear hole based on the constraints:

[0040] The gear hole is not located within the critical section, and the center point of the gear hole is located on the geometric centerline of the gear tooth root thickness, and the height of the gear hole does not exceed the height of the rectangle. h r And the width of the gear hole does not exceed the tooth root thickness. S f The constraint condition is that the edge of the gear hole does not overlap with the dangerous section. Under the condition that the constraint condition is met, the gear hole is generated at a random position of the gear, and the initial parameters of the gear hole are obtained.

[0041] In specific implementation, the rectangular height h of the gear is calculated based on the gear parameters through the following steps. r and tooth root thickness S f:

[0042] Gear tooth root thickness ,in, For the effective root circle radius, For displacement coefficients, The tooth angle of the cutting tool. The angle of application of the load. For an effective root circle, It is an inverse function; the rectangular height of the gear ,in, The thickness of the gear tooth root.

[0043] In one embodiment of the present invention, the gear hole design method for a multi-effect root hole gear includes the following steps:

[0044] Step 1: Complete the rectangle height based on gear parameters ( h r ) and tooth root thickness ( S f ) Calculate and determine the boundary range of the gear hole location and size parameters, and select the initial parameter values.

[0045] The tooth root thickness here is more accurately described as the rectangular thickness of the equivalent tooth profile, not the actual tooth root thickness. The effective tooth root circle is defined as the radius of the circle whose radius is two modules smaller than the tip circle radius, and is denoted by the symbol... This indicates that, based on the relationship between the base circle and the effective root circle, there are two different simulation methods for gear teeth: one where the base circle is smaller than the effective root circle, and the other where the base circle is larger than the effective root circle. Here, based on the equivalent tooth profile and basic parameters of the gear, the calculation method where the base circle radius is smaller than the effective root circle is chosen, such as... Figure 4 As shown. Figure 4 middle, For tooth tip thickness, The tooth angle of the cutting tool. The angle of application of the load. The height of the rectangular portion. For tooth root thickness, For the effective root circle radius, The radius of the tooth root circle is denoted as ...

[0046] The base circle is smaller than the effective root circle, that is:

[0047]

[0048] In the formula, For the base circle, For the effective root circle radius, It is the gear module. The tooth angle of the cutting tool. For an effective root circle, This is the tooth tip height coefficient. is the displacement coefficient.

[0049] For a standard gear, the intersection of the effective root circle and the tooth profile is taken as the intersection of the trapezoid and the rectangle. Therefore:

[0050]

[0051] In the formula, For the pitch circle tooth thickness, This is the tooth angle of the cutting tool.

[0052] The nominal tooth root and the actual tooth root are actually two points, but these two points are very close and can be considered as one point. Thus, the height is:

[0053]

[0054] Based on the rectangular height of the gear tooth root in step 1 ( ) and tooth root thickness ( The initial parameters of the gear hole are used as the boundary range for the hole location and hole size parameters, and the initial parameters of the gear hole are initially selected (the initial parameters of the gear hole should follow the constraints of step 5).

[0055] Step 2: Calculation of bending strength of multi-effect root hole gear.

[0056] Because drilling a hole near the tooth root affects the tooth root stress and bending stress, it's necessary to calculate and determine the critical section of the gear, and avoid the hole location coinciding with the critical section to prevent excessive impact on bending stress. The nominal bending stress at the tooth root (gear bending strength) is determined by Equation 4 (assuming the influence of compressive and shear stress is small and negligible), such as... Figure 3 As shown. Figure 3 middle, F n For normal loads; The angle of application of the normal load at the tooth tip; The tooth thickness at the critical section; It is the bending lever arm.

[0057]

[0058] In formula 4, For the bending strength of multi-effect root hole gears, The horizontal component of the normal load. For tooth width, For modulus, For pressure angle, The angle of application of the normal load at the tooth tip. This is the bending lever arm when a load is applied to the tooth tip. The tooth root is thick.

[0059] The reliability and rationality of the borehole location were verified by combining the tooth bending strength test method and the finite element method to solve the bending stress.

[0060] Step 3: Calculation of contact strength of multi-effect root hole gear.

[0061] The contact stress of gears is calculated using the Hertz formula as a basis. In Formula 5, the radius of curvature of a pair of meshing gears is expressed as... Load per unit tooth width , , and , These are the elastic modulus and Poisson's ratio of a pair of meshing gears, respectively.

[0062]

[0063] Calculation formula and The calculation formulas are shown in Figures 6 and 7. In Formula 6, This represents the radius of curvature of the drilled gear at the meshing point or the gear meshing with it at the meshing point. Let be the radius of curvature of the drilled gear at the meshing point. (The radius of curvature of the gear meshing with the drilled gear at the meshing point). This indicates the pitch circle diameter of a punched gear or a gear meshing with a punched gear. The pitch circle diameter of the drilled gear. (The pitch circle diameter of the gear that meshes with the perforated gear). This indicates the face meshing angle of a punched gear or a gear meshing with a punched gear. The end face meshing angle of the drilled gear. (This refers to the end face meshing angle of the gear that meshes with the perforated gear). In Formula 7, Let L be the tangential force on the circumference of the base circle, and L be the total length of the contact line.

[0064]

[0065]

[0066] The reliability of the opening needs to be verified by using the tooth surface contact strength calculation method and the finite element method.

[0067] Step 4: Calculation of stiffness of multi-effect root hole gear.

[0068] Tooth stiffness is a crucial factor affecting gear dynamic load, and the stiffness of undercut gears differs significantly from that of un-undercut gears. Given the critical role of undercutting in improving gear bending fatigue strength, preventing grinding damage, and ensuring machining accuracy, a systematic study of its impact on gear meshing stiffness is essential for evaluating the overall transmission performance and dynamic characteristics of undercut gears.

[0069] First, let's define stiffness: the load applied that causes one or more pairs of simultaneously meshing gears to produce a unit deflection per unit tooth width is called gear tooth stiffness. Let the gear width be b, the load on the gear be F, the total deformation of the teeth be δ, and the load intensity on the teeth, i.e., the load W per unit tooth width, be:

[0070]

[0071] The gear compliance is:

[0072]

[0073] The gear stiffness is:

[0074]

[0075] The gear stiffness can be solved by calculating the deformation and gear load using the finite element method (such as Ansys finite element software), and the degree of influence on the gear stiffness can be judged. If the influence is too large, the size of the hole needs to be adjusted.

[0076] Step 5: Determine the final borehole design parameters

[0077] Calculate the height of the rectangle based on the actual parameters of the gear. h r ) and tooth root thickness ( S f The calculation flowchart is shown in Figure 2, and the gear hole drilling diagram is shown in Figure 3. The flowchart is used to define the boundary of the hole location. The hole location is also ensured to be on the centerline of the tooth root thickness to avoid uneven load distribution on both sides. Furthermore, the height of the hole should not exceed the height of the rectangle or the critical section in bending stress to avoid excessive impact on bending stress. Figure 5 As shown. In Figure 5 In the middle, the excavation depth is the tooth width.

[0078] In this embodiment, a computer device is provided, such as... Figure 6 As shown, it includes a memory 601, a processor 602, and a computer program stored in the memory and executable on the processor. When the processor executes the computer program, it implements the gear hole design method for any of the above-mentioned multi-effect root hole gears.

[0079] Specifically, the computer device can be a computer terminal, a server, or a similar computing device.

[0080] In this embodiment, a computer-readable storage medium is provided, which stores a computer program that executes the gear hole design method of any of the above-described multi-effect root hole gears.

[0081] Specifically, computer-readable storage media include both permanent and non-permanent, removable and non-removable media, which can store information using any method or technology. Information can be computer-readable instructions, data structures, modules of programs, or other data. Examples of computer-readable storage media include, but are not limited to, phase-change memory (PRAM), static random access memory (SRAM), dynamic random access memory (DRAM), other types of random access memory (RAM), read-only memory (ROM), electrically erasable programmable read-only memory (EEPROM), flash memory or other memory technologies, CD-ROM, digital versatile optical disc (DVD) or other optical storage, magnetic tape, magnetic disk storage or other magnetic storage devices, or any other non-transferable medium that can be used to store information accessible by a computing device. As defined herein, computer-readable storage media do not include transient media, such as modulated data signals and carrier waves.

[0082] Based on the same inventive concept, this invention also provides a design apparatus for the gear hole of a multi-effect root-hole gear, as described in the following embodiments. Since the principle of the design apparatus for the gear hole of a multi-effect root-hole gear is similar to the design method for the gear hole of a multi-effect root-hole gear, the implementation of the design apparatus for the gear hole of a multi-effect root-hole gear can refer to the implementation of the design method for the gear hole of a multi-effect root-hole gear, and will not be repeated. As used below, the terms "unit" or "module" can refer to a combination of software and / or hardware that performs a predetermined function. Although the apparatus described in the following embodiments is preferably implemented in software, hardware implementation, or a combination of software and hardware, is also possible and contemplated.

[0083] Figure 7 This is a structural block diagram of a gear hole design device for a multi-effect root hole gear according to an embodiment of the present invention, such as... Figure 7 As shown, it includes: a module 701 for determining the initial parameters of the gear hole, a module 702 for determining the root hole gear structure, and a design parameter iteration module 703. The structure is described below.

[0084] The initial parameter determination module 701 for the gear hole is used to calculate the rectangular height of the gear based on the gear parameters. h r and tooth root thicknessS f Obtain the critical section of the gear, and through the critical section and the rectangular height h r and the tooth root thickness S f Determine the constraints for the position of the gear hole, and determine the initial parameters of the gear hole based on the constraints;

[0085] The root hole gear structure determination module 702 is used to determine the overall structure of the multi-effect root hole gear based on the gear parameters and the initial parameters of the gear hole, wherein the initial parameters of the gear hole include the initial length, initial height and initial center point position of the gear hole;

[0086] The design parameter iteration module 703 is used to determine whether the bending strength, contact strength, and stiffness of the multi-effect root hole gear meet the standard requirements based on the overall structure of the multi-effect root hole gear. If the standard requirements are not met, the initial position of the gear hole is adjusted based on the constraint conditions until the bending strength, contact strength, and stiffness all meet the standard requirements, and the adjusted design parameters of the gear hole are output.

[0087] In one embodiment, the module for determining the initial parameters of the gear bore includes:

[0088] Tooth root thickness calculation unit, used for calculating the tooth root thickness of gears. ,in, For the effective root circle radius, For displacement coefficients, The tooth angle of the cutting tool. The angle of application of the load. For an effective root circle, It is an inverse function;

[0089] Rectangular height calculation unit, used for the rectangular height of gears. ,in, The thickness of the gear tooth root.

[0090] In one embodiment, the module for determining the initial parameters of the gear bore further includes:

[0091] The constraint setting unit is used to ensure that the gear hole is not located within the critical section, the center point of the gear hole is located on the geometric centerline of the gear tooth root thickness, and the height of the gear hole does not exceed the height of the rectangle. h r And the width of the gear hole does not exceed the tooth root thickness. S f Furthermore, the constraint condition is that the edge of the gear hole does not overlap with the dangerous section.

[0092] The initial gear hole position determination unit is used to generate gear holes at random positions of the gears and obtain initial parameters of the gear holes, provided that the constraints are met.

[0093] In one embodiment, the design parameter iteration module includes:

[0094] The bending strength calculation unit is used to calculate the bending strength of the multi-effect root hole gear using the gear parameters and the critical section.

[0095] The contact strength calculation unit is used to determine whether the bending strength is greater than the set bending strength standard. If so, the contact strength of the multi-effect root hole gear is calculated. If not, the initial parameters of the gear hole are adjusted based on the constraint conditions, and the bending strength of the multi-effect root hole gear is recalculated.

[0096] The stiffness calculation unit is used to determine whether the contact strength is greater than the set contact strength standard. If so, the stiffness of the multi-effect root hole gear is calculated. If not, the initial parameters of the gear hole are adjusted based on the constraint conditions, and the bending strength of the multi-effect root hole gear is recalculated.

[0097] The parameter adjustment unit is used to determine whether the stiffness is within the set stiffness range. If so, it outputs the adjusted design parameters of the gear hole. If not, it adjusts the initial parameters of the gear hole based on the constraint conditions and recalculates the bending strength of the multi-effect root hole gear.

[0098] In one embodiment, the bending strength calculation unit is also used for the bending strength of multi-effect root hole gears. ,in, The horizontal component of the normal load. This is the bending lever arm when a load is applied to the tooth tip. m For modulus, The angle of application of the normal load at the tooth tip. b For tooth width, The root thickness of the critical section is [missing information]. This is the pressure angle.

[0099] In one embodiment, the contact strength calculation unit is also used to calculate the comprehensive radius of curvature at the tooth surface contact point. ,in, Let be the radius of curvature of the drilled gear at the meshing point. The radius of curvature of the gear meshing with the drilled gear at the meshing point. The pitch circle diameter of the drilled gear. The pitch circle diameter of the gear that meshes with the drilled gear. The end face meshing angle of the drilled gear. The end face meshing angle of the gear meshing with the drilled gear; calculate the load per unit tooth width. ,in, The tangential force on the base circle circumference, where L is the total length of the contact line; the load per unit tooth width The tooth surface contact stress value was calculated. The tooth surface contact stress value As for contact strength, among which, Let be any radius of curvature of a pair of meshing gears. and The elastic modulus of a pair of meshing gears, and These are the Poisson's ratios of a pair of meshing gears.

[0100] In one embodiment, the stiffness calculation unit is also used to calculate the load per unit tooth width of the gear tooth. ,in, b For gear width, F The load on the gear; the load per unit tooth width of the gear teeth. w The gear compliance was calculated. ,in, δ The total deformation of the gear teeth; through the gear compliance q The stiffness of the multi-effect root hole gear was calculated. .

[0101] The embodiments of the present invention achieve the following technical effects:

[0102] This invention addresses the problems of low heat dissipation efficiency, structural resonance, and excessive meshing stiffness in aerospace gear systems. The method in this embodiment achieves three optimization goals simultaneously through the design and placement of holes near the gear tooth root region: first, it increases the heat dissipation area and promotes lubricant flow, thereby improving thermal management capabilities; second, it adjusts the system's natural frequency through local mass redistribution, effectively avoiding resonance risks; and third, it optimizes the equivalent stiffness of the teeth, mitigating meshing impact. This invention abandons the traditional "divide and conquer" optimization approach, achieving synergistic improvements in multiple performance aspects through an integrated structural design. This not only significantly reduces the complexity of system design but also helps to further improve the overall efficiency and lightweight level of aerospace transmission systems while ensuring reliability and service life.

[0103] Obviously, those skilled in the art should understand that the modules or steps of the above-described embodiments of the present invention can be implemented using general-purpose computing devices. They can be centralized on a single computing device or distributed across a network of multiple computing devices. Optionally, they can be implemented using computer-executable program code, thereby storing them in a storage device for execution by a computing device. In some cases, the steps shown or described can be performed in a different order than those presented here, or they can be fabricated as separate integrated circuit modules, or multiple modules or steps can be fabricated as a single integrated circuit module. Thus, the embodiments of the present invention are not limited to any particular hardware and software combination.

[0104] The above description is merely a preferred embodiment of the present invention and is not intended to limit the present invention. For those skilled in the art, various modifications and variations can be made to the embodiments of the present invention. Any modifications, equivalent substitutions, improvements, etc., made within the spirit and principles of the present invention should be included within the protection scope of the present invention.

Claims

1. A method for designing the gear bore of a multi-effect root-hole gear, characterized in that, include: The rectangular height of the gear is calculated based on the gear parameters. h r and tooth root thickness S f Obtain the critical section of the gear, and through the critical section and the rectangular height h r and the tooth root thickness S f Determine the constraints for the gear hole position, and determine the initial parameters of the gear hole based on the constraints, including: The gear hole is not located within the critical section, and the center point of the gear hole is located on the geometric centerline of the gear tooth root thickness, and the height of the gear hole does not exceed the height of the rectangle. h r And the width of the gear hole does not exceed the tooth root thickness. S f Furthermore, the constraint condition is that the edge of the gear hole does not overlap with the dangerous section. Under the condition that the constraints are met, a gear hole is generated at a random position of the gear, and the initial parameters of the gear hole are obtained; Based on the gear parameters and the initial parameters of the gear hole, the overall structure of the multi-effect root hole gear is determined, wherein the initial parameters of the gear hole include the initial length, initial height and initial center point position of the gear hole; Based on the overall structure of the multi-effect root hole gear, determine whether the bending strength, contact strength, and stiffness of the multi-effect root hole gear meet the standard requirements. If they do not meet the standard requirements, adjust the initial position of the gear hole based on the constraint conditions until the bending strength, contact strength, and stiffness all meet the standard requirements, and output the adjusted design parameters of the gear hole.

2. The gear hole design method for multi-effect root hole gears as described in claim 1, characterized in that, Based on the overall structure of the multi-effect root-hole gear, determine whether the bending strength, contact strength, and stiffness of the multi-effect root-hole gear meet the standard requirements. If they do not meet the standard requirements, adjust the initial position of the gear hole based on the constraints until the bending strength, contact strength, and stiffness all meet the standard requirements. Output the adjusted design parameters of the gear hole, including: The bending strength of the multi-effect root hole gear is calculated using the gear parameters and the critical section. Determine whether the bending strength is greater than the set bending strength standard. If yes, calculate the contact strength of the multi-effect root hole gear. If not, adjust the initial parameters of the gear hole based on the constraint conditions and recalculate the bending strength of the multi-effect root hole gear. Determine whether the contact strength is greater than the set contact strength standard. If yes, calculate the stiffness of the multi-effect root hole gear. If not, adjust the initial parameters of the gear hole based on the constraint conditions and recalculate the bending strength of the multi-effect root hole gear. Determine whether the stiffness is within the set stiffness range. If yes, output the adjusted gear hole design parameters. If not, adjust the initial parameters of the gear hole based on the constraint conditions and recalculate the bending strength of the multi-effect root hole gear.

3. The gear hole design method for multi-effect root hole gears as described in claim 2, characterized in that, The bending strength of the multi-effect root-hole gear is calculated using the gear parameters and the critical section, including: Calculate the bending strength of multi-effect root hole gears ,in, The horizontal component of the normal load. This is the bending lever arm when a load is applied to the tooth tip. m For modulus, The angle of application of the normal load at the tooth tip. b For tooth width, The root thickness of the critical section is [missing information]. This is the pressure angle.

4. The gear hole design method for multi-effect root hole gears as described in claim 2, characterized in that, Calculate the contact strength of multi-effect root-hole gears, including: Calculate the combined radius of curvature at the tooth contact point. ,in, Let be the radius of curvature of the drilled gear at the meshing point. The radius of curvature of the gear meshing with the drilled gear at the meshing point. The pitch circle diameter of the drilled gear. The pitch circle diameter of the gear that meshes with the drilled gear. The end face meshing angle of the drilled gear. The end face meshing angle of the gear that meshes with the perforated gear; Calculate the load per unit tooth width ,in, The tangential force on the circumference of the base circle. L This is the total length of the contact wire; Load per unit tooth width The tooth surface contact stress value was calculated. The tooth surface contact stress value As for contact strength, among which, Let be any radius of curvature of a pair of meshing gears. and These are the elastic moduli of a pair of meshing gears. and These are the Poisson's ratios of a pair of meshing gears.

5. The gear hole design method for multi-effect root hole gears as described in claim 2, characterized in that, Calculate the stiffness of a multi-effect root-hole gear, including: Calculate the load per unit tooth width of the gear teeth ,in, b For gear width, F The load on the gear; The load per unit tooth width of the gear teeth w The gear compliance was calculated. ,in, δ This represents the total deformation of the gear teeth; Through the gear compliance q The stiffness of the multi-effect root hole gear was calculated. .

6. The gear hole design method for multi-effect root hole gears as described in any one of claims 1 to 5, characterized in that, The rectangular height of the gear is calculated based on the gear parameters. h r and tooth root thickness S f ,include: Gear tooth root thickness ,in, For the effective root circle radius, For displacement coefficients, The tooth angle of the cutting tool. The angle of application of the load. For an effective root circle, It is an inverse function; The rectangular height of the gear ,in, The thickness of the gear tooth root.

7. A design device for the gear bore of a multi-effect root-hole gear, characterized in that, include: The module for determining the initial parameters of the gear hole is used to calculate the rectangular height of the gear based on the gear parameters. h r and tooth root thickness S f Obtain the critical section of the gear, and through the critical section and the rectangular height h r and the tooth root thickness S f Determine the constraints for the position of the gear hole, and determine the initial parameters of the gear hole based on the constraints; The module for determining the initial parameters of the gear bore includes: The constraint setting unit is used to ensure that the gear hole is not located within the critical section, the center point of the gear hole is located on the geometric centerline of the gear tooth root thickness, and the height of the gear hole does not exceed the height of the rectangle. h r And the width of the gear hole does not exceed the tooth root thickness. S f Furthermore, the constraint condition is that the edge of the gear hole does not overlap with the dangerous section. An initial gear hole position determination unit is used to generate a gear hole at a random position of the gear, and obtain the initial parameters of the gear hole, under the condition that the constraint conditions are met. A root hole gear structure determination module is used to determine the overall structure of the multi-effect root hole gear based on the gear parameters and the initial parameters of the gear hole, wherein the initial parameters of the gear hole include the initial length, initial height and initial center point position of the gear hole; The design parameter iteration module is used to determine whether the bending strength, contact strength, and stiffness of the multi-effect root hole gear meet the standard requirements based on the overall structure of the multi-effect root hole gear. If the standard requirements are not met, the initial position of the gear hole is adjusted based on the constraint conditions until the bending strength, contact strength, and stiffness all meet the standard requirements, and the adjusted design parameters of the gear hole are output.

8. A computer device, comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, characterized in that, When the processor executes the computer program, it implements the gear hole design method of the multi-effect root hole gear according to any one of claims 1 to 6.

9. A computer-readable storage medium, characterized in that, The computer-readable storage medium stores a computer program that performs a method for designing the gear bore of a multi-effect root-hole gear according to any one of claims 1 to 6.