A method for determining a root fillet radius of a straight bevel gear and related apparatus

Abstract

The application discloses a method for determining a tooth root fillet radius of a straight bevel gear and related devices, and relates to the technical field of gear parameter calculation. The method comprises the following steps: obtaining a first calculation equation of a target included angle when the tooth root fillet radius is maximum based on the parameters of a driving gear under the condition that the driving gear is not engaged, obtaining a second calculation equation of the target included angle when the tooth root fillet is a full circular arc based on the gear parameters, and obtaining a geometric maximum value of the tooth root fillet radius based on the first calculation equation and the second calculation equation; obtaining the diameter of a starting point of engagement of the driving gear based on the parameters of the engaged gears under the condition that the driving gear is engaged with a driven gear, determining the maximum value of the engaged tooth root fillet radius based on the diameter of the starting point of engagement of the driving gear and the parameters of the engaged gears, and comparing the geometric maximum value of the tooth root fillet radius with the maximum value of the engaged tooth root fillet radius, so that the smaller value is taken as the tooth root fillet radius of the straight bevel gear. The application can solve the problems of gear engagement interference and poor gear strength.

Description

Technical Field

[0001] This application relates to the field of gear parameter calculation technology, and in particular to a method and related apparatus for determining the root fillet radius of a straight bevel gear. Background Technology

[0002] Currently, straight bevel gears used in differentials are mostly precision forged. Before gear machining, a 3D CAD (Computer-Aided Design) model of the gear needs to be created. Based on the 3D CAD model, the gear is then machined using a universal milling machine. When creating the 3D CAD model, it is necessary to determine the size of the root fillet radius of the straight bevel gear. Since the tooth height and module of the straight bevel gear change from the large end to the small end, the size of the root fillet also changes from the large end to the small end.

[0003] Currently, when determining the root fillet radius of a straight bevel gear, a fillet radius coefficient is usually given or a corresponding value is directly given from the large end to the small end. If the root fillet radius of the straight bevel gear is set too large, it may cause meshing interference of the gear, resulting in tooth tip crushing or abnormal noise. If the root fillet radius of the straight bevel gear is set too small, it will result in poor bending strength and easily lead to gear breakage and failure. Summary of the Invention

[0004] In view of the above problems, this application provides a method and related apparatus for determining the root fillet radius of straight bevel gears to solve the problems of gear meshing interference and gear strength difference. The specific solution is as follows:

[0005] The first aspect of this application provides a method for determining the root fillet radius of a straight bevel gear, including:

[0006] Obtain the parameters of the driving gear when the driving gear is not engaged;

[0007] Based on the parameters of the driving gear, a first calculation equation for the target angle is obtained when the root fillet radius is at its maximum. Based on the gear parameters, a second calculation equation for the target angle is obtained when the root arc is a full circle. Based on the first and second calculation equations, the geometric maximum value of the root fillet radius is obtained. The target angle is the angle between the line connecting the center of the root arc and the origin of the coordinate system and the y-axis of the coordinate system, where the origin of the coordinate system is the center point of the gear.

[0008] Determine the meshing gear parameters when the driving gear and the driven gear are meshing;

[0009] The starting point diameter of the driving gear meshing is determined based on the meshing gear parameters, and the maximum value of the meshing tooth root fillet radius is determined based on the starting point diameter of the driving gear meshing and the meshing gear parameters.

[0010] Compare the maximum geometric value of the tooth root fillet radius with the maximum value of the meshing tooth root fillet radius, and take the smaller value as the tooth root fillet radius of the spur bevel gear.

[0011] In one possible implementation, the driving gear parameters include the base circle radius of the driving gear and the root circle radius of the driving gear.

[0012] The first calculation equation for the target included angle, obtained based on the parameters of the driving gear when the root fillet radius is at its maximum, includes:

[0013] Based on the base circle radius and root circle radius of the driving gear, a first calculation equation for the target included angle is obtained when the root fillet radius is at its maximum; wherein, the first calculation equation contains the geometric maximum value of the root fillet radius.

[0014] In one possible implementation, the driving gear parameters also include the thickness of the driving gear pitch circle tooth, the equivalent number of teeth of the driving gear, and the diameter of the driving gear pitch circle.

[0015] The second calculation equation for the target included angle, obtained based on the gear parameters when the tooth root arc is a full circle, includes:

[0016] Based on the pitch circle tooth thickness of the driving gear, the equivalent number of teeth of the driving gear, and the pitch circle diameter of the driving gear, a second calculation equation for the target included angle is obtained when the tooth root arc is a full circle.

[0017] In one possible implementation, obtaining the geometric maximum value of the tooth root fillet radius based on the first calculation equation and the second calculation equation includes:

[0018] The first and second calculation equations are solved by transcendental equations to obtain the geometric maximum value of the tooth root fillet radius.

[0019] In one possible implementation, the meshing gear parameters include the base circle diameter of the driving gear, the base circle diameter of the driven gear, the tip circle diameter of the driven gear, and the gear meshing angle;

[0020] The step of determining the diameter of the starting point of the driving gear meshing based on the meshing gear parameters includes:

[0021] The length of the meshing line is determined based on the base circle diameter of the driving gear, the base circle diameter of the driven gear, and the gear meshing angle.

[0022] Based on the length of the meshing line, the base circle diameter of the driven gear, and the tip circle diameter of the driven gear, the length between the theoretical meshing start point and the actual meshing start point is determined;

[0023] The diameter of the starting point of engagement of the driving gear is determined based on the base circle diameter of the driving gear and the length.

[0024] In one possible implementation, the meshing gear parameters also include the root circle diameter of the driving gear;

[0025] The determination of the maximum value of the root fillet radius of the meshing gear based on the diameter of the starting point of the drive gear meshing and the parameters of the meshing gear includes:

[0026] The maximum value of the meshing root fillet radius is determined based on the diameter of the starting point of the drive gear meshing, the diameter of the base circle of the drive gear, and the diameter of the root circle of the drive gear.

[0027] A second aspect of this application provides a system for determining the root fillet radius of a straight bevel gear, comprising:

[0028] The acquisition module is used to acquire the parameters of the driving gear when the driving gear is not engaged.

[0029] The first calculation module is used to obtain a first calculation equation for the target angle when the root fillet radius is at its maximum, based on the parameters of the driving gear; to obtain a second calculation equation for the target angle when the root arc is a full circle, based on the gear parameters; and to obtain the geometric maximum value of the root fillet radius based on the first and second calculation equations. The target angle is the angle between the line connecting the center of the root arc and the origin of the coordinate system and the y-axis of the coordinate system, where the origin of the coordinate system is the center point of the gear.

[0030] The parameter determination module is used to determine the meshing gear parameters when the driving gear and the driven gear are meshing.

[0031] The second calculation module is used to determine the starting point diameter of the driving gear meshing based on the meshing gear parameters, and to determine the maximum value of the root fillet radius of the meshing gear based on the starting point diameter of the driving gear meshing and the meshing gear parameters.

[0032] The comparison module is used to compare the geometric maximum value of the tooth root fillet radius with the maximum value of the meshing tooth root fillet radius, and take the smaller value as the tooth root fillet radius of the spur bevel gear.

[0033] A third aspect of this application provides a computer program product, including computer-readable instructions, which, when executed on an electronic device, cause the electronic device to implement the method for determining the root fillet radius of a straight bevel gear as described in the first aspect or any implementation thereof.

[0034] A fourth aspect of this application provides an electronic device, including at least one processor and a memory connected to the processor, wherein:

[0035] The memory is used to store computer programs;

[0036] The processor is used to execute the computer program so that the electronic device can implement the method for determining the root fillet radius of a straight bevel gear according to the first aspect or any implementation thereof.

[0037] The fifth aspect of this application provides a computer storage medium carrying one or more computer programs, which, when executed by an electronic device, enable the electronic device to perform the method for determining the root fillet radius of a straight bevel gear as described in the first aspect or any implementation thereof.

[0038] Using the above technical solution, the method and related apparatus for determining the root fillet radius of a straight bevel gear provided in this application obtain the parameters of the driving gear when the driving gear is not engaged; based on the driving gear parameters, a first calculation equation for the target angle when the root fillet radius is at its maximum is obtained; based on the gear parameters, a second calculation equation for the target angle when the root arc is a full circle is obtained; based on the first and second calculation equations, the geometric maximum value of the root fillet radius is obtained; the diameter of the starting point of the driving gear meshing is determined based on the meshing gear parameters; based on the starting point diameter of the driving gear meshing and the meshing gear parameters, the maximum value of the meshing root fillet radius is determined; the geometric maximum value of the root fillet radius and the maximum value of the meshing root fillet radius are compared, and the smaller value is taken as the root fillet radius of the straight bevel gear. This application determines the root fillet radius by obtaining the geometric maximum value of the root fillet radius and the maximum value of the meshing root fillet radius. The maximum value can improve the bending strength of the tooth root. In order to avoid the problem of intersection or interference of the tooth root arcs, the smaller of the two maximum values ​​is taken as the root fillet radius of the straight bevel gear, thus solving the problems of gear meshing interference and gear strength difference. Attached Figure Description

[0039] The above and other features, advantages, and aspects of the embodiments of this disclosure will become more apparent when taken in conjunction with the accompanying drawings and the following detailed description. Throughout the drawings, the same or similar reference numerals denote the same or similar elements. It should be understood that the drawings are schematic, and the originals and elements are not necessarily drawn to scale.

[0040] Figure 1 A flowchart of a method for determining the root fillet radius of a straight bevel gear provided in this application;

[0041] Figure 2 A schematic diagram of a calculation model for the geometric maximum value of the root fillet radius of a precision-forged spur bevel gear provided in this application;

[0042] Figure 3 A schematic diagram of a calculation model for the maximum radius of the meshing tooth root fillet of a precision-forged straight bevel gear provided in this application;

[0043] Figure 4This application provides a structural diagram of a system for determining the root fillet radius of a straight bevel gear.

[0044] Figure 5 This is a schematic diagram of the structure of an electronic device provided in this application. Detailed Implementation

[0045] The embodiments of this application are described below with reference to the accompanying drawings. The terminology used in the implementation section of this application is for explaining specific embodiments only and is not intended to limit the scope of this application.

[0046] The embodiments of this application will now be described with reference to the accompanying drawings. Those skilled in the art will recognize that, with technological advancements and the emergence of new scenarios, the technical solutions provided in the embodiments of this application are equally applicable to similar technical problems.

[0047] The terms "first," "second," etc., used in the specification, claims, and accompanying drawings of this application are used to distinguish similar objects and are not necessarily used to describe a specific order or sequence. It should be understood that such terms are interchangeable where appropriate; this is merely a way of distinguishing objects with the same attributes in the embodiments of this application. Furthermore, the terms "comprising" and "having," and any variations thereof, are intended to cover non-exclusive inclusion, so that a process, method, system, product, or apparatus that comprises a series of elements is not necessarily limited to those elements, but may include other elements not explicitly listed or inherent to those processes, methods, products, or apparatuses.

[0048] This application provides a method for determining the root fillet radius of a straight bevel gear. The method for determining the root fillet radius of a straight bevel gear according to this application will be described in detail below with reference to the accompanying drawings.

[0049] Reference Figure 1 , Figure 1 A flowchart illustrating a method for determining the root fillet radius of a straight bevel gear, as provided in this application embodiment, is shown below. Figure 1 As shown in the embodiment of this application, a method for determining the root fillet radius of a straight bevel gear may include steps 101 to 105, which are described in detail below.

[0050] Step 101: Obtain the parameters of the driving gear when the driving gear is not engaged.

[0051] When the driving gear is not engaged, the driving gear parameters are obtained according to the gear usage requirements. These parameters include basic gear parameters and cross-sectional gear parameters. The basic gear parameters may include the number of teeth (z), module (m), and pressure angle (at). Equipping the cross-sectional gear parameters to the base projection coordinate system yields the equivalent number of teeth of the driving gear. Radius of the root circle of the driving gear Pitch circle diameter of the driving gear Radius of the base circle of the driving gear Thickness of the pitch arc tooth of the drive gear .

[0052] Step 102: Based on the parameters of the driving gear, obtain the first calculation equation for the target angle when the root fillet radius is at its maximum. Based on the gear parameters, obtain the second calculation equation for the target angle when the root arc is a full circle. Based on the first and second calculation equations, obtain the geometric maximum value of the root fillet radius. Wherein, the target angle is the angle between the line connecting the center of the root arc and the origin of the coordinate system and the y-axis of the coordinate system, and the origin of the coordinate system is the center point of the gear.

[0053] When calculating the maximum geometric value of the tooth root fillet radius, the maximum tooth root fillet radius can be obtained based on the pitch circle tooth thickness and the theory of full circular arc of the tooth root. Figure 2 A schematic diagram of the calculation model for the geometric maximum value of the root fillet radius of a precision-forged spur bevel gear, as shown below. Figure 2 As shown, the involute on the back cone of the gear is projected onto the base surface. On the projection surface, the center point of the gear is taken as the origin O of the coordinate system. The involute is tangent to the root fillet at point D. The transition arc (also known as the root fillet or root arc) is tangent to the root circle at point C. The center of the transition arc is point B. According to the properties of the involute, the line connecting BD is tangent to the base circle at point N. The angle between NO and the y-axis is θ, and the angle between OB and the y-axis is α. The actual root fillet radius is r0.

[0054] Optionally, based on the parameters of the driving gear, a first calculation equation for the target included angle is obtained when the root fillet radius is at its maximum, including:

[0055] Based on the base circle radius and root circle radius of the driving gear, the first calculation equation for the target included angle is obtained when the root fillet radius is at its maximum; wherein, the first calculation equation contains the geometric maximum value of the root fillet radius.

[0056] like Figure 2 As shown, in the bottom projection coordinate system, if the geometric maximum value of the tooth root fillet radius is known... The formula for calculating the angle α between OB and the y-axis, i.e., the first formula for calculating the target angle α, is as follows:

[0057]

[0058] Optionally, based on the gear parameters, a second calculation equation for the target included angle is obtained when the tooth root arc is a full circle, including:

[0059] Based on the pitch circle tooth thickness of the driving gear, the equivalent number of teeth of the driving gear, and the pitch circle diameter of the driving gear, a second calculation equation for the target included angle is obtained when the tooth root arc is a full circle.

[0060] It can also be based on the known pitch circle tooth thickness of the driving gear. Equivalent number of teeth of the driving gear Pitch circle diameter of the driving gear The pressure angle at is based on the angle α between OB and the y-axis when the tooth root arc is a full circle. The second calculation equation for the target angle α is as follows:

[0061]

[0062] In the formula, inv(·) is the involute function.

[0063] Optionally, based on the first and second calculation equations, the maximum geometric value of the tooth root fillet radius is obtained, including:

[0064] Solve the first and second calculation equations using transcendental equations to obtain the geometric maximum value of the tooth root fillet radius.

[0065] Combining the two equations for calculating the target angle α above yields a transcendental equation. Solving this transcendental equation gives the geometric maximum value of the tooth root fillet radius. .

[0066] Step 103: Determine the meshing gear parameters when the driving gear and the driven gear are meshing.

[0067] Based on the involute gear meshing principle, when two gears mesh, the meshing gear parameters corresponding to the meshing section are determined. These meshing gear parameters include the parameters of the driving and driven gears, which include the base circle diameter of the driving gear. Base circle diameter of the driven gear , diameter of the tip circle of the driving gear The diameter of the tip circle of the driven gear and gear meshing angle .

[0068] Step 104: Determine the starting point diameter of the driving gear meshing based on the meshing gear parameters. Based on the starting point diameter of the driving gear meshing and the meshing gear parameters, determine the maximum value of the root fillet radius of the meshing gear.

[0069] Figure 2 This refers to the tooth root profile shape of a single gear, which can be the tooth root profile shape of the driving gear. O is the center of the gear, which is also the center of the gear circle. Point D is the meshing starting point of the involute and the mating gear. Point N is the point of tangency between the involute's generating line at point D and the base circle. Point B is the center of the tooth root arc. Figure 3A schematic diagram of the calculation model for the maximum radius of the meshing tooth root fillet of a precision-forged spur bevel gear, as shown below. Figure 3 As shown, These are the centers of the driving gear and the driven gear, respectively. The distance is a. For the theoretical line of engagement, As the theoretical starting point of meshing, The theoretical engagement endpoint, Point E is the actual starting point of engagement, and point E is the actual ending point of engagement.

[0070] Optionally, the diameter of the starting point of the driving gear meshing is determined based on the meshing gear parameters, including:

[0071] The length of the line of action is determined based on the base circle diameter of the driving gear, the base circle diameter of the driven gear, and the gear meshing angle.

[0072] Based on the length of the line of engagement, the base circle diameter of the driven gear, and the tip circle diameter of the driven gear, determine the length between the theoretical meshing start point and the actual meshing start point;

[0073] The diameter of the starting point of the driving gear's meshing is determined based on the base circle diameter of the driving gear and the length between the theoretical meshing start point and the actual meshing start point.

[0074] Based on the base circle diameter of the driving gear Base circle diameter of the driven gear and gear meshing angle To determine the line of engagement length, the theoretical formula for calculating the line of engagement length is:

[0075]

[0076] Then, based on the length of the meshing line and the base circle diameter of the driven gear and the tip circle diameter of the driven gear Determine the length between the theoretical engagement start point and the actual engagement start point. The calculation formula is:

[0077]

[0078] Based on the theoretical equation for calculating the line of engagement length, and taking into account the base circle diameter of the driving gear and the length between the theoretical and actual engagement start points, the diameter of the driving gear's engagement start point is determined. The formula is:

[0079]

[0080] Optionally, based on the diameter of the starting point of the driving gear meshing and the parameters of the meshing gears, the maximum value of the root fillet radius of the meshing gear is determined, including:

[0081] Based on the diameter of the starting point of the active gear meshing , Base circle diameter of the driving gear and the root circle diameter of the driving gear Determine the maximum value of the fillet radius at the root of the meshing tooth. Among them, the root circle diameter of the driving gear teeth. It equals the pitch circle diameter minus twice the tooth root height.

[0082] Figure 2 and Figure 3 In the middle, based on the geometric maximum value of the tooth root fillet radius. Calculations show that, Then we have:

[0083]

[0084]

[0085]

[0086] In the formula, This is the actual radius of the tooth root arc. Let be the length between point N and point D.

[0087] exist Figure 2 In right triangle ONB, according to the Pythagorean theorem, The root fillet radius is obtained by solving the problem. The maximum value is:

[0088]

[0089] illustrate: The root circle diameter of the driving gear is equal to the pitch circle diameter minus twice the root height.

[0090] Step 105: Compare the maximum geometric value of the root fillet radius with the maximum value of the meshing root fillet radius, and take the smaller value as the root fillet radius of the spur bevel gear.

[0091] Maximum geometric value of tooth root fillet radius The maximum tooth root fillet radius is obtained based on the pitch circle tooth thickness and the full circular arc theory of the tooth root. If it is less than this maximum value, the tooth root arc and the tooth root circle can achieve tangency and smooth transition. If it is greater than this value, the two tooth root arcs will intersect and form a hard connection at the tooth root, which will weaken the machining and tooth root bending.

[0092] Maximum radius of meshing tooth root fillet The maximum fillet radius is obtained based on meshing interference. That is, the tooth root fillet is at its maximum when the upper limit of the tooth root arc reaches the actual meshing point. If it is greater than this fillet radius, the tooth root transition curve will interfere with the tooth tip of the mating gear during gear meshing, resulting in heavy contact and noise, which seriously weakens the gear performance.

[0093] For the root fillet radius, the desired maximum value is obtained, which provides the best root bending strength. However, it is also necessary to avoid intersections or interference between the root arcs. Therefore, this application compares... and The minimum value between the two is taken as the root fillet radius of the straight bevel gear. This maximizes the radius of the arc while avoiding the two problems mentioned above.

[0094] The method for determining the root fillet radius of spur bevel gears provided in this application is illustrated below through a specific embodiment. The parameters of a pair of precision-forged spur bevel gears are shown in Table 1.

[0095] Table 1. Basic parameters of a pair of precision-forged straight bevel gears

[0096]

[0097] In the aforementioned straight bevel gear meshing pair, taking the large end of the driving gear as an example, the involute curve is projected onto the bottom plane to obtain the base circle radius of the equivalent cylindrical gear. Root radius Equivalent number of teeth of the driving gear The thickness of the pitch arc tooth at the large end of the drive gear is The equivalent gear pitch circle diameter at the large end of the driving gear: The pressure angle at = 0.4363. The transcendental equation corresponding to the maximum value of the root fillet radius of the large end of the driving gear is:

[0098]

[0099] The geometric maximum value of the tooth root fillet radius was obtained through numerical analysis. for:

[0100]

[0101] Based on the parameters in Table 1, the relevant parameters when the driving gear and the driven gear mesh at their large ends are as follows: , , Meshing angle =0.4363.

[0102] =57.6001,

[0103] =6.4280,

[0104] ,

[0105] ,

[0106] .

[0107] because < Then the radius of the root fillet of the straight bevel gear is:

[0108] .

[0109] The method for determining the root fillet radius of straight bevel gears provided in this application obtains the geometric maximum value and the maximum value of the meshing root fillet radius. The maximum value improves the bending strength of the tooth root. To avoid intersection or interference problems of the tooth root arcs, the smaller of these two maximum values ​​is chosen as the root fillet radius of the straight bevel gear, thus solving the problems of gear meshing interference and gear strength difference. Compared with the traditional empirical method for setting the root fillet radius of straight bevel gears, the value calculated by numerical analysis in this application is more accurate. Straight bevel gears designed and manufactured based on this accurate value have superior meshing transmission performance and higher reliability. The maximum root fillet radius of the straight bevel gear can be obtained from the basic parameters of the straight bevel gear, eliminating the need for manual drawing and measurement, effectively improving the design accuracy of the gear. The gear parameter design is analyzed and formulaic, making it easier to program and effectively improving the design efficiency of the gear. It can be widely applied to the design of various precision forged straight bevel gears, making it more versatile.

[0110] The above describes a method for determining the root fillet radius of a straight bevel gear according to an embodiment of this application. The following describes a system for performing the above method for determining the root fillet radius of a straight bevel gear.

[0111] Please see Figure 4 , Figure 4 This is a schematic diagram of a system for determining the root fillet radius of a straight bevel gear, provided as an embodiment of this application. Figure 4 As shown, the system for determining the root fillet radius of a straight bevel gear includes:

[0112] The acquisition module 401 is used to acquire the parameters of the driving gear when the driving gear is not engaged.

[0113] The first calculation module 402 is used to obtain a first calculation equation for the target angle when the root fillet radius is at its maximum, based on the parameters of the driving gear, and a second calculation equation for the target angle when the root arc is a full circle, based on the gear parameters, and to obtain the geometric maximum value of the root fillet radius based on the first and second calculation equations; wherein, the target angle is the angle between the line connecting the center of the root arc and the origin of the coordinate system and the y-axis of the coordinate system, and the origin of the coordinate system is the center point of the gear.

[0114] The parameter determination module 403 is used to determine the meshing gear parameters when the driving gear and the driven gear are meshing.

[0115] The second calculation module 404 is used to determine the starting point diameter of the driving gear meshing based on the meshing gear parameters, and to determine the maximum value of the root fillet radius of the meshing gear based on the starting point diameter of the driving gear meshing and the meshing gear parameters.

[0116] Comparison module 405 is used to compare the geometric maximum value of the root fillet radius and the maximum value of the meshing root fillet radius, and take the smaller value as the root fillet radius of the spur bevel gear.

[0117] Optional parameters for the driving gear include the base circle radius and the root circle radius of the driving gear.

[0118] In one possible implementation, the first computing module 402 is specifically used for:

[0119] Based on the base circle radius and root circle radius of the driving gear, the first calculation equation for the target included angle is obtained when the root fillet radius is at its maximum; wherein, the first calculation equation contains the geometric maximum value of the root fillet radius.

[0120] Optional parameters for the driving gear also include the thickness of the pitch circle teeth, the equivalent number of teeth of the driving gear, and the pitch circle diameter of the driving gear.

[0121] In one possible implementation, the first computing module 402 is further configured to:

[0122] Based on the pitch circle tooth thickness of the driving gear, the equivalent number of teeth of the driving gear, and the pitch circle diameter of the driving gear, a second calculation equation for the target included angle is obtained when the tooth root arc is a full circle.

[0123] In one possible implementation, the first computing module 402 is further configured to:

[0124] Solve the first and second calculation equations using transcendental equations to obtain the geometric maximum value of the tooth root fillet radius.

[0125] Optionally, the meshing gear parameters include the base circle diameter of the driving gear, the base circle diameter of the driven gear, the tip circle diameter of the driving gear, the tip circle diameter of the driven gear, and the gear meshing angle.

[0126] In one possible implementation, the second computing module 404 is specifically used for:

[0127] The length of the line of action is determined based on the base circle diameter of the driving gear, the base circle diameter of the driven gear, and the gear meshing angle.

[0128] Based on the length of the line of engagement, the base circle diameter of the driven gear, and the tip circle diameter of the driven gear, determine the length between the theoretical meshing start point and the actual meshing start point;

[0129] The diameter of the starting point of engagement of the driving gear is determined based on the base circle diameter and length of the driving gear.

[0130] Optionally, the meshing gear parameters also include the root circle diameter of the driving gear.

[0131] In one possible implementation, the second computing module 404 is further used for:

[0132] The maximum value of the meshing root fillet radius is determined based on the starting point diameter of the driving gear, the base circle diameter of the driving gear, and the root circle diameter of the driving gear.

[0133] This application also provides an electronic device in its embodiments. (See reference...) Figure 5 The diagram illustrates a structural schematic suitable for implementing the electronic device in the embodiments of this application. The electronic device in the embodiments of this application may include, but is not limited to, fixed terminals such as mobile phones, laptops, PDAs (personal digital assistants), PADs (tablet computers), desktop computers, etc. Figure 5 The electronic device shown is merely an example and should not impose any limitation on the functionality and scope of use of the embodiments of this application.

[0134] like Figure 5 As shown, the electronic device may include a processing unit (e.g., a central processing unit, a graphics processing unit, etc.) 501, which can perform various appropriate actions and processes according to a program stored in a read-only memory (ROM) 502 or a program loaded from a storage device 508 into a random access memory (RAM) 503. When the electronic device is powered on, the RAM 503 also stores various programs and data required for the operation of the electronic device. The processing unit 501, ROM 502, and RAM 503 are interconnected via a bus 504. An input / output (I / O) interface 505 is also connected to the bus 504.

[0135] Typically, the following devices can be connected to I / O interface 505: input devices 506 including, for example, touchscreens, touchpads, keyboards, mice, cameras, microphones, accelerometers, gyroscopes, etc.; output devices 507 including, for example, liquid crystal displays (LCDs), speakers, vibrators, etc.; storage devices 508 including, for example, memory cards, hard drives, etc.; and communication devices 509. Communication device 509 allows electronic devices to communicate wirelessly or wiredly with other devices to exchange data. Although Figure 5 Electronic devices with various devices are shown, but it should be understood that it is not required to implement or have all of the devices shown. More or fewer devices may be implemented or have alternatively.

[0136] This electronic device can implement the above-mentioned method for determining the radius of the root fillet of straight bevel gears.

[0137] This application also provides a computer program product including computer-readable instructions, which, when executed on an electronic device, cause the electronic device to implement any of the methods for determining the root fillet radius of a straight bevel gear provided in this application.

[0138] This application also provides a computer-readable storage medium carrying one or more computer programs. When the one or more computer programs are executed by an electronic device, the electronic device can implement any of the methods for determining the root fillet radius of a straight bevel gear provided in this application.

[0139] It should also be noted that the device embodiments described above are merely illustrative. The units described as separate components may or may not be physically separate, and the components shown as units may or may not be physical units; that is, they may be located in one place or distributed across multiple network units. Some or all of the modules can be selected to achieve the purpose of this embodiment according to actual needs. In addition, in the device embodiment drawings provided in this application, the connection relationship between modules indicates that they have a communication connection, which can be implemented as one or more communication buses or signal lines.

[0140] Through the above description of the embodiments, those skilled in the art can clearly understand that this application can be implemented by means of software plus necessary general-purpose hardware, or it can be implemented by special-purpose hardware including application-specific integrated circuits, special-purpose CPUs, special-purpose memory, special-purpose components, etc. Generally, any function performed by a computer program can be easily implemented by corresponding hardware, and the specific hardware structure used to implement the same function can also be diverse, such as analog circuits, digital circuits, or special-purpose circuits. However, for this application, software program implementation is more often the preferred implementation method. Based on this understanding, the technical solution of this application, in essence, or the part that contributes to the prior art, can be embodied in the form of a software product. This computer software product is stored in a readable storage medium, such as a computer floppy disk, USB flash drive, mobile hard disk, ROM, RAM, magnetic disk, or optical disk, etc., and includes several instructions to cause a computer device (which may be a personal computer, training equipment, or network device, etc.) to execute the methods described in the various embodiments of this application.

[0141] In the above embodiments, implementation can be achieved, in whole or in part, through software, hardware, firmware, or any combination thereof. When implemented in software, it can be implemented, in whole or in part, as a computer program product.

[0142] The computer program product includes one or more computer instructions. When the computer program instructions are loaded and executed on a computer, all or part of the processes or functions described in the embodiments of this application are generated. The computer may be a general-purpose computer, a special-purpose computer, a computer network, or other programmable device. The computer instructions may be stored in a computer-readable storage medium or transmitted from one computer-readable storage medium to another. For example, the computer instructions may be transmitted from one website, computer, training device, or data center to another website, computer, training device, or data center via wired (e.g., coaxial cable, fiber optic, digital subscriber line (DSL)) or wireless (e.g., infrared, wireless, microwave, etc.) means. The computer-readable storage medium may be any available medium that a computer can store or a data storage device such as a training device or data center that integrates one or more available media. The available media may be magnetic media (e.g., floppy disks, hard disks, magnetic tapes), optical media (e.g., DVDs), or semiconductor media (e.g., solid-state drives (SSDs)).

Claims

1. A method for determining the root fillet radius of a straight bevel gear, characterized in that, include: Obtain the parameters of the driving gear when the driving gear is not engaged; Based on the parameters of the driving gear, a first calculation equation for the target angle is obtained when the root fillet radius is at its maximum. Based on the gear parameters, a second calculation equation for the target angle is obtained when the root arc is a full circle. Based on the first and second calculation equations, the geometric maximum value of the root fillet radius is obtained. The target angle is the angle between the line connecting the center of the root arc and the origin of the coordinate system and the y-axis of the coordinate system, where the origin of the coordinate system is the center point of the gear. Determine the meshing gear parameters when the driving gear and the driven gear are meshing; The starting point diameter of the driving gear meshing is determined based on the meshing gear parameters, and the maximum value of the meshing tooth root fillet radius is determined based on the starting point diameter of the driving gear meshing and the meshing gear parameters. Compare the maximum geometric value of the tooth root fillet radius with the maximum value of the meshing tooth root fillet radius, and take the smaller value as the tooth root fillet radius of the spur bevel gear.

2. The method for determining the root fillet radius of a straight bevel gear according to claim 1, characterized in that, The parameters of the driving gear include the base circle radius of the driving gear and the root circle radius of the driving gear. The first calculation equation for the target included angle, obtained based on the parameters of the driving gear when the root fillet radius is at its maximum, includes: Based on the base circle radius and root circle radius of the driving gear, a first calculation equation for the target included angle is obtained when the root fillet radius is at its maximum; wherein, the first calculation equation contains the geometric maximum value of the root fillet radius.

3. The method for determining the root fillet radius of a straight bevel gear according to claim 2, characterized in that, The parameters of the driving gear also include the thickness of the pitch circle tooth of the driving gear, the equivalent number of teeth of the driving gear, and the pitch circle diameter of the driving gear. The second calculation equation for the target included angle, obtained based on the gear parameters when the tooth root arc is a full circle, includes: Based on the pitch circle tooth thickness of the driving gear, the equivalent number of teeth of the driving gear, and the pitch circle diameter of the driving gear, a second calculation equation for the target included angle is obtained when the tooth root arc is a full circle.

4. The method for determining the root fillet radius of a straight bevel gear according to claim 1, characterized in that, The process of obtaining the maximum geometric value of the tooth root fillet radius based on the first calculation equation and the second calculation equation includes: The first and second calculation equations are solved by transcendental equations to obtain the geometric maximum value of the tooth root fillet radius.

5. The method for determining the root fillet radius of a straight bevel gear according to any one of claims 1 to 4, characterized in that, The meshing gear parameters include the base circle diameter of the driving gear, the base circle diameter of the driven gear, the tip circle diameter of the driven gear, and the gear meshing angle; The step of determining the diameter of the starting point of the driving gear meshing based on the meshing gear parameters includes: The length of the meshing line is determined based on the base circle diameter of the driving gear, the base circle diameter of the driven gear, and the gear meshing angle. Based on the length of the meshing line, the base circle diameter of the driven gear, and the tip circle diameter of the driven gear, the length between the theoretical meshing start point and the actual meshing start point is determined; The diameter of the starting point of engagement of the driving gear is determined based on the base circle diameter of the driving gear and the length.

6. The method for determining the root fillet radius of a straight bevel gear according to claim 5, characterized in that, The meshing gear parameters also include the root circle diameter of the driving gear; The determination of the maximum value of the root fillet radius of the meshing gear based on the diameter of the starting point of the drive gear meshing and the parameters of the meshing gear includes: The maximum value of the meshing root fillet radius is determined based on the diameter of the starting point of the drive gear meshing, the diameter of the base circle of the drive gear, and the diameter of the root circle of the drive gear.

7. A system for determining the root fillet radius of a straight bevel gear, characterized in that, include: The acquisition module is used to acquire the parameters of the driving gear when the driving gear is not engaged. The first calculation module is used to obtain a first calculation equation for the target angle when the root fillet radius is at its maximum, based on the parameters of the driving gear; to obtain a second calculation equation for the target angle when the root arc is a full circle, based on the gear parameters; and to obtain the geometric maximum value of the root fillet radius based on the first and second calculation equations. The target angle is the angle between the line connecting the center of the root arc and the origin of the coordinate system and the y-axis of the coordinate system, where the origin of the coordinate system is the center point of the gear. The parameter determination module is used to determine the meshing gear parameters when the driving gear and the driven gear are meshing. The second calculation module is used to determine the starting point diameter of the driving gear meshing based on the meshing gear parameters, and to determine the maximum value of the root fillet radius of the meshing gear based on the starting point diameter of the driving gear meshing and the meshing gear parameters. The comparison module is used to compare the geometric maximum value of the tooth root fillet radius with the maximum value of the meshing tooth root fillet radius, and take the smaller value as the tooth root fillet radius of the spur bevel gear.

8. A computer program product, characterized in that, Includes computer-readable instructions that, when executed on an electronic device, cause the electronic device to implement the method for determining the root fillet radius of a straight bevel gear as described in any one of claims 1 to 6.

9. An electronic device, characterized in that, It includes at least one processor and a memory connected to the processor, wherein: The memory is used to store computer programs; The processor is used to execute the computer program so that the electronic device can implement the method for determining the root fillet radius of a straight bevel gear as described in any one of claims 1 to 6.

10. A computer storage medium, characterized in that, The storage medium carries one or more computer programs that, when executed by an electronic device, enable the electronic device to implement the method for determining the root fillet radius of a straight bevel gear as described in any one of claims 1 to 6.

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