A double helical gear non-interference honing machining method using two honing wheels

Abstract

This application discloses a method for interference-free honing of a double helical gear using two honing wheels, relating to the field of gear machining technology. The method includes the following steps: Step 1: Establishing a constraint relationship between the shaft intersection angle of the honing gear and the width of the empty groove of the double helical gear, determining the interference-free honing shaft intersection angle, and optimizing the empty groove width; Step 2: Calculating the axial installation distance between the left and right honing wheels based on the structural parameters and shaft intersection angle of the double helical gear, determining the helix angle parameters of the left and right honing wheels, and establishing tooth surface models of the left and right honing wheels by enveloping the tooth surface of the double helical gear; Step 3: Preparing the left and right honing wheels based on the tooth surface models, assembling the left and right honing wheels according to the axial installation distance, and controlling the two honing wheels to perform interference-free honing of the double helical gear tooth surface at a fixed shaft intersection angle. This application can obtain a double helical gear with high surface quality and low noise characteristics through the honing process.

Description

Technical Field

[0001] This application relates to the field of gear machining technology, and in particular to a non-interference honing method for double helical gears using two honing wheels. Background Technology

[0002] A double helical gear consists of two sets of helical teeth with opposite directions of rotation and equal helix angles, symmetrically distributed on both sides, with a narrow groove in the middle. It can achieve high load and low vibration transmission, but at the cost of higher manufacturing costs. Its core design lies in axial force self-balancing and smooth meshing, making it suitable for heavy industrial applications with stringent performance requirements.

[0003] The primary finishing method for double helical teeth is grinding. Grinding double helical teeth typically places high demands on the grinding wheel size, wheel entry method, and retraction space. When the width of the central groove in the double helical tooth is small or even nonexistent, the grinding wheel struggles to achieve effective entry and exit, posing a risk of machining interference. Furthermore, grinding can easily cause tooth surface burns, and the resulting grinding marks parallel to the tooth direction can generate noise during meshing. Summary of the Invention

[0004] This application aims to at least solve one of the technical problems existing in the prior art. To this end, this application proposes a non-interference honing method for double helical gears using two honing wheels, which can obtain double helical gears with high surface quality and low noise characteristics through the honing process.

[0005] According to an embodiment of the first aspect of this application, a method for non-interference honing of a double helical gear using two honing wheels includes the following steps: Step 1: Establishing a constraint relationship between the axial intersection angle of the honing gear and the width of the empty groove of the double helical gear; determining the target axial intersection angle of the non-interference honing under the constraint relationship; optimizing the width of the empty groove of the double helical gear for the purpose of reducing the weight and volume of the double helical gear; and machining the empty groove of the double helical gear. Step 2: Based on the structural parameters of the double helical gear and the target shaft angle, calculate the axial installation distance between the left honing wheel and the right honing wheel. The double helical gear includes a left gear and a right gear. Using the helix angle of the double helical gear as a variable, derive the functional relationship between the helix angles of the left honing wheel and the right honing wheel. Based on the functional relationship, determine the helix angles of the left honing wheel and the right honing wheel. By enveloping the tooth surface of the double helical gear, establish the tooth surface models of the left honing wheel and the right honing wheel. Step 3: Prepare the left and right honing wheels based on the tooth surface models of the left and right honing wheels. Install the left and right honing wheels in the honing wheel rotating frame according to the axial installation spacing, so that the axes of the left and right honing wheels form the target axis angle with the axis of the double helical gear. Drive the double helical gear, the left and right honing wheels to rotate, and control the left and right honing wheels to establish corresponding meshing machining relationships with the opposite tooth surfaces on the left and right sides of the double helical gear, respectively. Under the condition of keeping the axis angle unchanged, first use the left honing wheel to machine the right gear, and then use the right honing wheel to machine the left gear.

[0006] According to an embodiment of this application, a method for non-interference honing of double helical gears using two honing wheels has at least the following advantages: By using a honing process with two honing wheels to process double helical gears, the difficulties in tool entry and exit and the machining interference problems that easily occur in the gear grinding process are avoided. Furthermore, the processing cycle is short, making it suitable for mass production. By establishing a constraint relationship between the shaft intersection angle and the width of the empty slot, the width of the empty slot can be optimized while ensuring non-interference honing, achieving a weight reduction effect for the double helical gear. The honing wheels are configured according to the determined axial installation spacing and the functional relationship between the helix angles of the left and right honing wheels, so that when switching the honing object from the right gear to the left gear, the shaft intersection angle does not need to be adjusted, further avoiding the risk of interference during machining. The tooth surface models of the left and right honing wheels are established, ensuring precise meshing between the honing wheels and the double helical gear, resulting in tooth surfaces with high shape accuracy and low roughness, which is beneficial for reducing transmission noise and improving gear load-bearing capacity.

[0007] According to some embodiments of this application, in step one, establishing the constraint relationship between the shaft intersection angle of the honing gear and the width of the empty groove of the double helical gear specifically includes: ,in, The limiting distance on the axis of the double helical teeth is caused by the shaft intersection angle. The limiting distance on the axis of the double helical gear is caused by the difference in gear width. This refers to the displacement generated by the axial reciprocating feed motion of the double honing wheels. The initial empty groove width for the double helical teeth is given, and the maximum allowable axial angle is calculated based on the aforementioned constraint relationship. and minimum empty groove width .

[0008] According to some embodiments of this application, the compact design of the structural parameters of the double helical gear in step one specifically includes: the initial open groove width of the double helical gear and minimum empty groove width Select the optimal empty groove width.

[0009] According to some embodiments of this application, the maximum permissible axis intersection angle The calculation formula is: , in, For the right gear tooth width, For the width of the left honing wheel teeth, It is the radial distance from a point on the outer end face of the left gear to the axis of the double helical gear.

[0010] According to some embodiments of this application, the minimum empty groove width The calculation formula is: , in, The angle between the target axis and the target axis.

[0011] According to some embodiments of this application, the axial mounting spacing The calculation formula is: , in, For the right gear tooth width, The width of the left honing wheel teeth.

[0012] According to some embodiments of this application, in step two, the functional relationship between the helix angle of the left honing wheel and the helix angle of the right honing wheel is as follows: , The helix angle of the right gear is... The helix angle of the left gear is... The helix angle of the left honing wheel. The helix angle of the right honing wheel.

[0013] According to some embodiments of this application, in step two, the process of establishing the tooth surface model of the left honing wheel includes: firstly, the tooth surface of the right gear is formed by the rack envelope; then, through the meshing motion relationship between the right gear and the left honing wheel, the tooth surface equation of the left honing wheel is derived using the coordinate transformation matrix and meshing equation, and finally the tooth surface model of the left honing wheel is established.

[0014] According to some embodiments of this application, in step three, the taper of the processed gear is compensated by the swinging of the honing wheel rotating frame.

[0015] According to some embodiments of this application, step three, preparing the left honing wheel and the right honing wheel based on the tooth surface models of the left honing wheel and the right honing wheel, specifically includes: mixing the ceramic binder and abrasive evenly, pressing them into blanks using a hot press, and after drying and firing, machining the teeth according to the tooth surface models of the left honing wheel and the right honing wheel.

[0016] Additional aspects and advantages of this application will be set forth in part in the description which follows, and in part will be obvious from the description, or may be learned by practice of this application. Attached Figure Description

[0017] The present application will be further described below with reference to the accompanying drawings and embodiments, wherein: Figure 1 This is a flowchart of a processing method according to one embodiment of this application; Figure 2 This is a schematic diagram of a double helical gear according to an embodiment of this application; Figure 3 This is a schematic cross-sectional view of the installation according to one embodiment of this application; Figure 4 This is a schematic diagram of the tooth surface model of the left honing wheel according to an embodiment of this application; Figure 5 This is a schematic diagram of the tooth surface model of the right honing wheel according to an embodiment of this application; Figure 6 This is a schematic diagram of the structure of a double-helix honing machine tool according to an embodiment of this application; Figure 7 This is a schematic diagram of the honing of a right gear by a left honing wheel according to an embodiment of this application; Figure 8 This is a schematic diagram of the honing of the left gear by the right honing wheel according to one embodiment of this application.

[0018] Icon labels: Left honing wheel 100; Right honing wheel 200; Left gear 300; Right gear 400; Honing wheel rotating frame 500. Detailed Implementation

[0019] The embodiments of this application are described in detail below. Examples of these embodiments are shown in the accompanying drawings, wherein the same or similar reference numerals denote the same or similar elements or elements having the same or similar functions throughout. The embodiments described below with reference to the accompanying drawings are exemplary and are only used to explain this application, and should not be construed as limiting this application.

[0020] In the description of this application, it should be understood that the orientation descriptions, such as up, down, etc., are based on the orientation or positional relationship shown in the accompanying drawings, and are only for the convenience of describing this application and simplifying the description, and do not indicate or imply that the device or element referred to must have a specific orientation, or be constructed and operated in a specific orientation, and therefore should not be construed as a limitation of this application.

[0021] In the description of this application, "multiple" refers to two or more. The use of "first" and "second" is for the purpose of distinguishing technical features only and should not be construed as indicating or implying relative importance, or implicitly indicating the number of technical features indicated, or the order in which the technical features are indicated.

[0022] In the description of this application, unless otherwise expressly defined, terms such as "setup," "installation," and "connection" should be interpreted broadly, and those skilled in the art can reasonably determine the specific meaning of the above terms in this application in conjunction with the specific content of the technical solution.

[0023] Reference Figures 1 to 6 As shown, an embodiment of this application describes a method for non-interference honing of a double-helix gear using two honing wheels, comprising the following steps: Step 1: Establish the constraint relationship between the honing gear's axial angle and the width of the hollow groove of the double helical gear. Under this constraint, determine the target axial angle for interference-free honing. Optimize the width of the hollow groove of the double helical gear to reduce its weight and volume, and then machine the hollow groove. By rationally setting the width of the hollow groove of the double helical gear, a weight-reducing design for the herringbone gear can be achieved while avoiding interference during honing, thus achieving a compact and lightweight design and reducing material consumption. The axial angle is the angle between the axis of the left honing wheel 100 and the axis of the double helical gear. Under the constraint, select the target axial angle and compactly design the structural parameters of the double helical gear. During the machining of the double helical gear, the left honing wheel 100 meshes with the right gear 400, and the right honing wheel 200 meshes with the left gear 300. Since the honing wheel needs to reciprocate along the axis of the double helical gear, if the shaft angle is too large or the empty groove of the double helical gear is too narrow, it will cause collision and interference between the honing wheel on one side and the gear on the other side. Therefore, a constraint relationship was first established, and the width of the empty groove of the double helical gear was optimized and reduced under the premise of ensuring no interference.

[0024] Step 2: The double helical gear includes a left gear 300 and a right gear 400. The structural parameters of the double helical gear include the tooth width and outer diameter of the left gear 300 and right gear 400. Based on the structural parameters of the double helical gear and the target shaft angle, the axial installation distance between the left honing wheel 100 and the right honing wheel 200 is calculated to avoid interference between the honing wheels and the double helical gear during processing. Using the helix angle of the double helical gear as a variable, the functional relationship between the helix angles of the two honing wheels is derived. This function determines the helix angle of the left honing wheel 100 and the helix angle of the right honing wheel 200, so that when the honing object is switched from the right gear 400 to the left gear 300, the shaft intersection angle does not need to be changed, avoiding the risk of interference caused by changes in the shaft intersection angle during the machining process; then, by enveloping the opposite tooth surfaces on the left and right sides of the double helical gear, the tooth surface models of the left honing wheel 100 and the right honing wheel 200 are established to ensure the precise meshing of the left honing wheel 100 and the right honing wheel 200 with the double helical gear.

[0025] Step 3: Based on the tooth surface models of the left honing wheel 100 and the right honing wheel 200, prepare the left honing wheel 100 and the right honing wheel 200. The number of teeth on the left honing wheel 100 and the right honing wheel 200 should be equal. Install the left honing wheel 100 and the right honing wheel 200 in the honing wheel rotating frame 500 according to the axial installation spacing, so that the axis of the left honing wheel 100, the axis of the right honing wheel 200 and the axis of the double helical gear form the target axis angle, referring to... Figure 7 This establishes a meshing relationship between the left honing wheel 100 and the right gear 400, driving the double helical gear, left honing wheel 100, and right honing wheel 200 to rotate. While maintaining a constant shaft angle, the right gear 400 is honed. After the right gear 400 is completed, the double helical gear is controlled to move along its own axis, referring to... Figure 8 The left gear 300 is moved to a position corresponding to the right honing wheel 200 to establish a meshing relationship, and the left gear 300 is then honed. By using the left honing wheel 100 and the right honing wheel 200 to sequentially process the double helical gear, the honing process avoids the difficulties in tool entry and exit and the machining interference problems that are easy to occur in the gear grinding process. It can obtain a tooth surface with high shape accuracy and low roughness, which is beneficial to reduce transmission noise, improve gear load capacity, and has a short processing cycle, making it suitable for mass production.

[0026] Reference Figures 2 to 6 As shown, in some embodiments, step one, establishing the constraint relationship between the shaft intersection angle of the honing gear and the width of the empty groove of the double helical gear, specifically includes: ,in, The limiting distance on the axis of the double helical teeth is caused by the shaft intersection angle. To limit the distance on the axis of the double helical gears caused by the difference in gear width, the left honing wheel 100 and the right honing wheel 200 are usually mounted on the same rotating frame, so the left honing wheel 100 and the right honing wheel 200 are collectively referred to as the double honing wheel. When the double honing wheel makes an axial reciprocating feed motion, at the limit position, the left gear 300 will move further closer to the left honing wheel 100. This refers to the displacement generated by the axial reciprocating feed motion of the dual honing wheels. The dual honing wheels are a collective term for the left honing wheel 100 and the right honing wheel 200. Given the initial open flute width of the double helical gear, the maximum allowable axial angle is calculated based on the constraint relationship between the honing angle and the open flute width of the double helical gear. and minimum empty groove width The radial distance from a point on the outer end face of the left gear 300 to the axis of the double helical gear. It is equal to half the outer diameter of the left gear (300). The calculation formula is: . The angle of inclination of the axis of the left honing wheel 100 relative to the axis of the right gear 400. The calculation formula is: , The right gear has a tooth width of 400. The left honing wheel has a tooth width of 100.

[0027] Reference Figures 2 to 6 As shown, in some embodiments, step one, specifically the compact design of the structural parameters of the double helical gear, includes: [details about the initial open slot width of the double helical gear]. and minimum empty groove width The optimal empty groove width is selected with the goal of minimizing gear weight, so as to achieve a compact design and lightweight optimization of the double helical gear under the condition of no interference honing constraint.

[0028] Reference Figures 2 to 6 As shown, in some embodiments, the maximum permissible axis intersection angle The calculation formula is: , in, The right gear has a tooth width of 400. The left honing wheel has a tooth width of 100. This is the radial distance from a point on the outer end face of the left gear (300mm) to the axis of the double helical gear. Maximum shaft angle. The value should be between 0° and 180°. The above analysis is for the case when the left honing wheel 100 is machining the right gear 400. The same principle applies when the right honing wheel 200 is machining the left gear 300, and the right gear 400 and the right honing wheel 200 do not interfere with each other.

[0029] Reference Figures 2 to 6 As shown, in some embodiments, the minimum empty groove width The calculation formula is: , in, The angle between the target axes, the angle between the target axes The value of is at the maximum axis intersection angle It is determined within the range.

[0030] Reference Figures 2 to 6 As shown, in some embodiments, due to the target axis intersection angle The axial reciprocating feed motion of the left honing wheel 100 may cause interference between the right honing wheel 200 and the right gear 400 during the machining process of the right gear 400 by the left honing wheel 100, or interference between the left honing wheel 100 and the left gear 300 during the machining process of the left honing wheel 200. Therefore, it is necessary to derive the minimum axial installation distance between the two honing wheels to avoid interference. . The distance projected onto the axis of the double honing wheel is Due to the intersection angle of the target axes, the axis of the double honing wheel intersects with the two end faces of the right gear 400. The perpendicular distance from the intersection point to the axis of the right gear 400 is... m Represented as: The perpendicular distance from a point on the end face of the right gear 400 to the intersection point is... Its limiting distance along the axis of the double honing wheel Represented as: The double honing wheels are coaxially distributed, with an installation gap between the left honing wheel 100 and the right honing wheel 200. Due to the axial angle between the double helical teeth and the axes of the double honing wheels, the axes of the double helical teeth and the double honing wheels intersect at the center position of the installation gap along the axis of the double honing wheels. Therefore, the center positions of the left honing wheel 100 and the right honing wheel 200 are offset relative to the axis of the double helical teeth, and the amount of offset in the vertical direction is... Represented as: Based on the deviation, the limiting distance... Updated to: To ensure uniform wear of the honing wheels, the tooth widths of the left honing wheel 100 and the right honing wheel 200 should be greater than the tooth widths of the left gear 300 and the right gear 400. Therefore, there is no limiting distance caused by the difference in gear width. In summary, the axial installation spacing between the two honing wheels... It can be represented as: Substitute the above calculation formula into... The calculation formula can be used to obtain the axial installation spacing. The calculation formula is: , in, The right gear has a tooth width of 400. The left honing wheel has a tooth width of 100.

[0031] Reference Figures 2 to 6 As shown, in some embodiments, in step two, the functional relationship between the helix angle of the left honing wheel 100 and the helix angle of the right honing wheel 200 is as follows: , The helix angle of the right gear is 400 degrees. The helix angle of the left gear is 300 degrees. The helix angle of the left honing wheel is 100°. Let be the helix angle of the right honing wheel 200. Since the shaft intersection angle remains unchanged during honing, the functional relationship between the helix angles of the two honing wheels can be derived based on the target shaft intersection angle and the different helix angles of the left gear 300 and right gear 400. The shaft intersection angle is also equal to the difference between the gear helix angle and the honing wheel helix angle.

[0032] Reference Figures 2 to 6 As shown, in some embodiments, the process of establishing the tooth surface model of the left honing wheel 100 in step two includes: firstly, the tooth surface of the right gear 400 is formed by the rack envelope; then, through the meshing motion relationship between the right gear 400 and the left honing wheel 100, the equation of the tooth surface of the left honing wheel 100 is derived using the coordinate transformation matrix and meshing equation, and finally the tooth surface model of the left honing wheel 100 is established.

[0033] Taking the modeling process of the 100 tooth surface of the left honing wheel as an example, the specific modeling steps are as follows: The tooth surface of right gear 400 can be formed by the envelopment of the rack. First, establish the coordinate system between right gear 400 and the rack, and derive the equation of the tooth surface of right gear 400. The coordinate system of right gear 400 is given as follows: The right gear 400 fixed coordinate system is The coordinate system for rack motion is Considering the piecewise higher-order modification of the rack tooth profile, the rack equation... It can be represented as: .

[0034] in, These are parameters along the tooth profile of the rack. These are parameters in the direction of the rack tooth width. The tooth thickness of the rack. It is the tooth profile angle of the rack. The amount of modification is represented, and it is generally given as a distribution of higher-order curves along the tooth profile direction, which can be expressed as: .

[0035] in, and This indicates the starting position for the profile modification at the tip and root of the right gear 400. and The coefficient representing the parabolic curve of tooth profile modification. and Indicates the order of the reshaping curve.

[0036] When the right gear 400 meshes with the rack, the point of contact is located on the pitch circle of the right gear 400. (In the coordinate system...) The engagement point can be represented as follows: When the right gear rotates 400 degrees Rotate the axis counterclockwise Then, the meshing point will move along the rack. A translation occurs in the negative direction of the axis, and the distance moved is... This process can be represented as: .

[0037] in, This indicates the radius of the 400-pitch circle of the right gear.

[0038] Therefore, the points on the rack tooth surface are determined from the coordinate system. To coordinate system The homogeneous coordinate transformation matrix is: .

[0039] The transformation matrix, denoted by L, is used to remove the last row and last column vectors. wait.

[0040] Combining the above formulas, the equation for the 400mm tooth surface of the right gear is... It can be represented as: .

[0041] The meshing of the rack and right gear 400 conforms to the meshing equation. The solution of the meshing equation in the coordinate system The following steps are performed. The unit normal vector of a spatial surface can be calculated by taking its partial derivatives; the normal vector of the rack tooth surface... It can be represented as: .

[0042] Will Transform to coordinate system Down: .

[0043] Relative velocity can be obtained using meshing motion parameters Described as a "time parameter": .

[0044] Substituting the two formulas above into the meshing equation, we get:

[0045] Simplifying, we get: .

[0046] Substituting the simplified formula into the equation of the right gear's 400mm tooth surface, we obtain the equation of the right gear's 400mm tooth surface. When establishing the coordinate system, the zero angle is located on the tooth centerline. Therefore, when calculating the coordinates of either the left or right tooth surface, the angle needs to be shifted by half a pitch. . Generally refers to the number of teeth, used in specific calculations. and , This represents the number of teeth on a double helical gear. Let be the number of teeth on the left honing wheel 100 or the right honing wheel 200. Therefore, the tooth surface equation of the right gear 400 can be expressed as: .

[0047] When the right gear 400 meshes and rolls with the left honing wheel 100, a motion coordinate system for the left honing wheel 100 can be established. and the left honing wheel 100 fixed coordinate system The left honing wheel rotates 100 degrees. The homogeneous coordinate transformation matrices between the various coordinate systems are given below: From the right gear 400 motion coordinate system To the right gear 400 fixed coordinate system Transformation matrix : .

[0048] From the right gear 400 fixed coordinate system To the left honing wheel 100 fixed coordinate system Transformation matrix : .

[0049] From the fixed coordinate system of the left honing wheel 100 To the left honing wheel 100 motion coordinate system Transformation matrix : .

[0050] Then from the right gear 400 motion coordinate system To the left honing wheel 100 motion coordinate system Transformation matrix It can be represented as: .

[0051] Similarly, the meshing of the right gear 400 and the left honing wheel 100 conforms to the meshing equation. The solution to the meshing equation is in the coordinate system. The following steps will be performed. Next, the relative velocity between the meshing tooth surfaces will be calculated.

[0052] Assume the angular velocity of the right gear rotating at 40° is The angular velocity of the left honing wheel 100 is In coordinate system Below, the velocity vector of a point on the 400 tooth surface of the right gear. It can be represented as: .

[0053] Angular velocity vector of left honing wheel 100 Represented as: .

[0054] In coordinate system Below, a point on the 100 tooth surface of the left honing wheel can be represented by the 400 tooth surface of the right gear as follows: .

[0055] By combining the formulas for calculating the angular velocity vector of the left honing wheel 100 and the formula for representing a point on the tooth surface of the left honing wheel 100 using the tooth surface of the right gear 400, we can obtain the result in the coordinate system. The velocity vector of a point on the 100 tooth surface of the lower left honing wheel : .

[0056] The relative velocity of a point on the tooth surface of the right gear 400 and the left honing wheel 100 for and Difference: .

[0057] From the formula for calculating the normal vector of the rack tooth surface, we can know the normal vector of a point on the 400mm tooth surface of the right gear. Represented as: .

[0058] Will The calculation formula and Substituting the calculation formula into the meshing equation: .

[0059] make , .

[0060] Substitute into the formula Expand to obtain The expression: .

[0061] Combine the equations and transformation matrices of the tooth surface of the right gear 400. The formula, then Substituting the expression, we can obtain the coordinate system. Equation for the 100 tooth surface of the lower left honing wheel: .

[0062] Reference Figures 2 to 6 As shown, in some embodiments, in step three, the taper of the machined gear is compensated by the oscillation of the honing wheel rotating frame 500.

[0063] Reference Figures 2 to 6 As shown, in some embodiments, step three, preparing the left honing wheel 100 and the right honing wheel 200 based on the tooth surface models of the left honing wheel 100 and the right honing wheel 200, specifically includes: mixing the ceramic binder and abrasive evenly, pressing them into blanks using a hot press, and after drying and firing, machining the teeth based on the tooth surface models of the left honing wheel 100 and the right honing wheel 200.

[0064] The following is a calculation example: Table 1 shows the calculated values ​​for the maximum allowable shaft intersection angle and minimum relief groove width of double helical gear honing: Table 1

[0065] Table 1 shows that with an initial open groove width of 8mm for the double helical gear, the maximum allowable axial angle for honing is 5.06°. The larger the axial angle, the greater the limiting distance on the workpiece gear axis at the same radius, thus increasing the interference risk. To reduce honing interference risk, the target axial angle is set to 2°. Inputting the target axial angle into the formula for calculating the minimum open groove width yields a minimum open groove width of 4.51mm. Therefore, under the premise of interference-free honing, the open groove width for the double helical gear can be optimized between 4.51mm and 8mm to achieve lightweight optimization of the double helical gear structure. Substituting the parameters in Table 1 into the formula for calculating the axial installation distance, the minimum axial installation distance between the double honing wheels is 3.07mm. Considering the limitations of the machine tool structure size, the axial installation distance should not be too large; therefore, a final axial installation distance of 10mm between the double honing wheels is selected.

[0066] Table 2 shows the parameters of the double helical teeth and the honing wheel.

[0067] Table 2

[0068] Using the basic parameters of the double helical teeth in Table 2 as input, a 100mm tooth surface model of the left honing wheel is established as follows: Figure 4 As shown, the 200 tooth surface model of the right honing wheel is established as follows. Figure 5 As shown.

[0069] The embodiments of this application have been described in detail above with reference to the accompanying drawings. However, this application is not limited to the above embodiments. Within the scope of knowledge possessed by those skilled in the art, various changes can be made without departing from the spirit of this application.

Claims

1. A method for interference-free honing of double-helical gears using two honing wheels, characterized in that, Includes the following steps: Step 1: Establish the constraint relationship between the honing shaft angle and the empty groove width of the double helical gear. Under this constraint relationship, determine the target shaft angle for interference-free honing. To reduce the weight and volume of the double helical gear, optimize the empty groove width of the double helical gear and machine the empty groove of the double helical gear. Establishing the constraint relationship between the honing shaft angle and the empty groove width of the double helical gear specifically includes: ,in, The limiting distance on the axis of the double helical teeth is caused by the angle between the axes. The limiting distance on the axis of the double helical gear is caused by the difference in gear width. This refers to the displacement generated by the axial reciprocating feed motion of the double honing wheels. The initial empty groove width for the double helical teeth is given, and the maximum allowable axial angle is calculated based on the aforementioned constraint relationship. and minimum empty groove width ， The calculation formula is: , The angle of inclination of the axis of the left honing wheel (100) relative to the axis of the right gear (400) is given. The tooth width of the right gear (400) is... The tooth width of the left honing wheel (100) is... The calculation formula is: , The radial distance from a point on the outer end face of the left gear (300) to the axis of the double helical gear; Step 2: Based on the structural parameters of the double helical gear and the intersection angle of the target shaft, calculate the axial installation distance between the left honing wheel (100) and the right honing wheel (200). The double helical gear includes a left gear (300) and a right gear (400). Using the helix angle of the double helical gear as a variable, derive the functional relationship between the helix angles of the left honing wheel (100) and the right honing wheel (200). Based on the functional relationship, determine the helix angle of the left honing wheel (100) and the helix angle of the right honing wheel (200). By enveloping the tooth surface of the double helical gear, establish the tooth surface model of the left honing wheel (100) and the right honing wheel (200). Step 3: Based on the tooth surface models of the left honing wheel (100) and the right honing wheel (200), prepare the left honing wheel (100) and the right honing wheel (200). Install the left honing wheel (100) and the right honing wheel (200) in the honing wheel rotating frame (500) according to the axial installation spacing, so that the axis of the left honing wheel (100), the axis of the right honing wheel (200) and the axis of the double helical gear form the target axis intersection. The angle drives the double helical gear, the left honing wheel (100) and the right honing wheel (200) to rotate, and controls the left honing wheel (100) and the right honing wheel (200) to establish corresponding meshing machining relationships with the opposite tooth surfaces on the left and right sides of the double helical gear, respectively. Under the condition of keeping the shaft intersection angle unchanged, the left honing wheel (100) is used to process the right gear (400) first, and then the right honing wheel (200) is used to process the left gear (300).

2. The method for non-interference honing of double helical gears using two honing wheels according to claim 1, characterized in that: In step one, the compact design of the structural parameters of the double helical gear specifically includes: the initial open groove width of the double helical gear and minimum empty groove width Select the optimal empty groove width.

3. The method for non-interference honing of double helical gears using two honing wheels according to claim 1, characterized in that: The maximum permissible axis angle The calculation formula is: ， in, The tooth width of the right gear (400) is... The tooth width of the left honing wheel (100) is... The radial distance from a point on the outer end face of the left gear (300) to the axis of the double helical gear is denoted as .

4. The method for non-interference honing of double helical gears using two honing wheels according to claim 3, characterized in that: The minimum empty groove width The calculation formula is: ， in, The angle between the target axis and the target axis.

5. The method for non-interference honing of double helical gears using two honing wheels according to claim 4, characterized in that: The axial installation spacing The calculation formula is: ， in, The tooth width of the right gear (400) is... The tooth width of the left honing wheel (100) is given.

6. The method for non-interference honing of double helical gears using two honing wheels according to claim 5, characterized in that: In step two, the functional relationship between the helix angle of the left honing wheel (100) and the helix angle of the right honing wheel (200) is as follows: , The helix angle of the right gear (400) is... The helix angle of the left gear (300) is... The helix angle of the left honing wheel (100) is... The helix angle of the right honing wheel (200).

7. The method for non-interference honing of double helical gears using two honing wheels according to claim 6, characterized in that: In step two, the process of establishing the tooth surface model of the left honing wheel (100) includes: firstly, the tooth surface of the right gear (400) is formed by the rack envelope; then, through the meshing motion relationship between the right gear (400) and the left honing wheel (100), the tooth surface equation of the left honing wheel (100) is derived using the coordinate transformation matrix and meshing equation, and finally the tooth surface model of the left honing wheel (100) is established.

8. The method for non-interference honing of double helical gears using two honing wheels according to claim 1, characterized in that: In step three, the taper of the processed gear is compensated by the swing of the honing wheel rotating frame (500).

9. The method for non-interference honing of double helical gears using two honing wheels according to claim 1, characterized in that: In step three, the preparation of the left honing wheel (100) and the right honing wheel (200) based on the tooth surface models of the left honing wheel (100) and the right honing wheel (200) specifically includes: mixing the ceramic binder and abrasive evenly, pressing them into blanks using a hot press, and after drying and firing, machining the teeth according to the tooth surface models of the left honing wheel (100) and the right honing wheel (200).

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