Tooth direction compound modification machining method using cylindrical gear tooth cutter

Abstract

This invention discloses a method for composite tooth profile modification using a cylindrical gear cutting tool. The method first determines the core parameters of the gear, the composite tooth profile modification, and the tool installation. The composite modification amount is decomposed into taper, helix angle, and drum-shaped modification amounts, and the additional motion of the machine tool axis is calculated for each. Then, the additional motion of the center distance is decomposed into additional amounts in the installation center distance and offset distance directions, and all axis additional motions are superimposed. After discretization, the additional motion at each position is applied to the machine tool linear axis and the workpiece rotary axis, respectively. This is combined with the offset and tilted tool installation and a specific tool path to complete the machining. This invention establishes a quantitative relationship between the modification amount and the machine tool motion, eliminating the blindness of trial cutting, improving modification efficiency and accuracy, and achieving composite tooth profile modification of taper and drum shape. This provides uniform grinding allowance for subsequent heat treatment and honing, adapting to the machining requirements of high-precision gears.

Description

Technical Field

[0001] This invention belongs to the field of precision gear machining technology, and particularly relates to a method for composite tooth profile modification machining using cylindrical gear turning tools. Background Technology

[0002] High-strength gear turning is an emerging precision machining process for cylindrical gears. With its high efficiency, high precision, and high rigidity, it has become the preferred machining process for high-precision gears in core transmission components such as new energy vehicle transmissions and robot precision reducers. New energy vehicle transmissions and robot reducers need to meet the transmission requirements of high speed, high torque, and high load capacity. Their matching gears require complex tooth surface modification. Precisely controlling the amount of tooth surface modification provides a uniform grinding allowance for subsequent heat treatment and gear honing, which is crucial for ensuring the final tooth surface machining quality and improving gear transmission stability.

[0003] Tooth profile modification is a machining method that controls the multi-axis coupled motion of the machine tool to make the tool cut along a specific trajectory to form a preset tooth surface shape. Currently, some researchers have proposed asymmetric tooth profile modification methods for hobbing and grinding. However, the machining principles of hobbing and grinding are fundamentally different from those of heavy-duty turning, and their modification control methods cannot be directly applied to heavy-duty turning.

[0004] In heavy-duty gear turning based on the offset mounting of cylindrical gear cutting tools, the tool is offset to one side of the gear's axis of symmetry for cutting. Under the condition of staggered axis offset meshing, the correspondence between the motion of each axis of the machine tool and the tooth profile modification amount is complex. The modification control logic of traditional gear machining cannot be directly applied. It is necessary to re-derive the quantitative relationship between the two based on the characteristics of the tool offset mounting.

[0005] Currently, the industry mostly uses an iterative approach of "adjusting tool installation parameters - trial cutting - detection and feedback" to approximate the target value of tooth profile modification. This method has obvious blindness; not only is the modification adjustment efficiency extremely low, but it is also difficult to accurately control the modification amount, failing to achieve the ideal tooth profile modification effect, thus restricting the further application of heavy-duty gear turning technology in high-precision gear machining. Therefore, how to establish a quantitative relationship between the tooth profile modification amount and the machine tool axis motion based on the offset gear turning motion principle of cylindrical gear turning tools, and achieve efficient and high-precision composite tooth profile modification, is a key problem that urgently needs to be solved in current heavy-duty gear turning technology. Summary of the Invention

[0006] To at least partially solve the technical problems existing in the prior art, the present invention provides a tooth direction composite modification machining method using a cylindrical turning tooth tool.

[0007] The tooth profile modification method of the present invention using a cylindrical turning tool includes: Determine various core machining parameters: determine the basic parameters of gear tooth count, module, normal pressure angle and helix angle; determine the gear tooth profile width, left tooth surface taper profile, right tooth surface taper profile and both sides tooth profile drum profile profile parameters; determine the tool mounting shaft intersection angle, mounting angle, center distance and offset distance parameters. Decompose the composite shaping amount and calculate the initial additional motion of the machine tool axis: Decompose the tooth direction composite shaping amount into tooth direction taper shaping amount, tooth direction helix angle shaping amount, and tooth direction drum shaping amount, and calculate the additional motion of each axis of the machine tool. Among them, the tooth direction taper shaping amount is realized by the first additional motion of the machine tool center distance, the tooth direction helix angle shaping amount is realized by the additional rotation of the machine tool workpiece rotation axis, and the tooth direction drum shaping amount is realized by the second additional motion of the machine tool center distance. Superimpose and discretize the additional motion of machine tool axes: uniformly superimpose and distribute the additional motion of each machine tool axis along the tooth profile width direction, decompose the superimposed total additional motion of the machine tool center distance into the additional motion in the direction of the tool mounting center distance and the additional motion in the direction of the offset distance, obtain the superimposed additional motion of each machine tool axis, and uniformly distribute the additional motion of each axis along the tooth profile width direction into the motion of N points, with each tooth profile width position corresponding to a set of additional motion of each machine tool axis; Tool mounting and compound profile machining: The cylindrical gear cutting tool is mounted at an angle and offset on one side of the gear's axis of symmetry. Based on the additional motion of the machine tool axes, which is obtained by superimposing and discretizing the additional motion of the machine tool axes, the additional motion of each tooth profile width position is applied to the two linear axes X and Y of the machine tool and the workpiece rotation axis C, respectively, to complete the compound profile machining of the gear.

[0008] Furthermore, in the above-mentioned tooth profile compound modification machining method using cylindrical gear cutting tools, in the step of decomposing the compound modification amount and calculating the initial additional motion of the machine tool axis, the end face pressure angle of the gear is first calculated using the normal pressure angle and helix angle of the gear, and then the first additional motion of the machine tool center distance corresponding to the taper modification amount is calculated. The formula for calculating the end face pressure angle is: ; in, The end face pressure angle of the gear; The normal pressure angle of the gear; The helix angle of the gear.

[0009] Furthermore, in the above-mentioned tooth profile modification method using cylindrical turning tools, the calculation formula for the additional motion amount corresponding to the first distance from the machine tool center corresponding to the tooth profile taper modification amount is as follows: ; in, The first additional motion amount of the machine tool center distance corresponding to the tooth taper modification amount; This refers to the width of the gear tooth profile modification. This refers to the taper modification amount on the left tooth surface of the gear. This refers to the taper modification amount on the right tooth surface of the gear. The pressure angle of the gear's end face.

[0010] Furthermore, in the aforementioned method for compound tooth profile modification using cylindrical gear cutting tools, in the step of decomposing the compound profile modification amount and calculating the initial additional motion of the machine tool axis, the calculation formula for the additional rotation of the machine tool workpiece rotation axis corresponding to the tooth profile helix angle modification amount is as follows: ; in, Add a rotation amount to the machine tool workpiece axis corresponding to the tooth helix angle modification amount; This refers to the width of the gear tooth profile modification. The helix angle of the gear; This refers to the taper modification amount on the left tooth surface of the gear. This refers to the taper modification amount on the right tooth surface of the gear.

[0011] Furthermore, in the above-mentioned tooth-direction composite profile modification method using cylindrical gear cutting tools, in the step of decomposing the composite profile modification amount and calculating the initial additional motion of the machine tool axis, the radius of the drum-shaped profile modification motion is first calculated, and then the second additional motion of the machine tool center distance corresponding to the tooth-direction drum-shaped profile modification amount is calculated using the radius. The formula for calculating the radius of the drum-shaped profile modification motion is: ; in, The radius of the drum-shaped shaping motion; for For the bulging shape modification of the teeth on both sides; This refers to the width of the gear tooth profile modification. The end face pressure angle of the gear; The formula for calculating the second additional motion amount of the machine tool center distance corresponding to the tooth-direction drum-shaped modification amount is as follows: ; in The second additional motion amount is the machine tool center distance corresponding to the tooth-direction drum-shaped modification amount.

[0012] Furthermore, in the aforementioned tooth-direction composite profile modification method using cylindrical turning gear cutters, in the step of superimposing and discretizing the additional motion of the machine tool axis, the calculation formulas for decomposing the additional motion of the machine tool center distance into the additional motion in the direction of the tool mounting center distance and the additional motion in the direction of the offset distance are as follows: ; in, Additional amount in the direction of the tool's mounting center distance; An additional amount in the direction of the offset distance; The first additional motion amount of the machine tool center distance corresponding to the tooth taper modification amount; The second additional motion amount is the machine tool center distance corresponding to the tooth-direction drum-shaped modification amount; This refers to the mounting angle of the cutting tool.

[0013] Furthermore, in the above-mentioned tooth-direction composite profile modification machining method using cylindrical turning gear cutters, in the step of superimposing and discretizing the additional motion of the machine tool axis, N is a positive integer, and the value range of the number of discrete points N is 20≤N≤50. Moreover, N is adjusted according to the machining accuracy requirements of the gear. The higher the machining accuracy requirements, the larger the number of discrete points N.

[0014] Furthermore, in the above-mentioned tooth-direction composite profile machining method using cylindrical gear cutting tools, during the tool installation and composite profile machining steps, when completing the tooth-direction composite profile machining, the cylindrical gear cutting tool is controlled to advance and retract along the installation angle direction, while the tool is controlled to move along the workpiece axis. Through the coupled motion of the X and Y linear axes and the C rotary axis of the machine tool, the tool cuts the gear tooth surface along the preset profile machining trajectory.

[0015] The tooth profile modification method using a cylindrical turning tool of the present invention has the following advantages and beneficial effects: 1) This invention achieves efficient and precise tooth-direction composite profile modification by establishing precise expressions for the motion and modification amounts of each axis of the machine tool under tool offset conditions. This method reduces trial cutting steps, achieves higher machining accuracy and process stability, and effectively improves the machining efficiency and quality of tooth-direction composite profile modification.

[0016] 2) This invention not only meets the requirements for composite tooth profile modification, but also compensates for the tilt deviation of the gear's tooth helix in the reverse direction. By using the helix tilt deviation as the reverse input of the modification amount, the motion compensation amount of each axis of the machine tool is precisely controlled, thereby effectively correcting the tooth profile modification error and further improving the gear machining accuracy. Attached Figure Description

[0017] To more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the drawings used in the description of the embodiments or the prior art will be briefly introduced below. Obviously, the drawings described below are only for further understanding of the embodiments of the present invention and constitute a part of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort. In the drawings: Figure 1 This is a schematic flowchart of the tooth profile modification method using a cylindrical turning tool according to the present invention. Figure 2 This is a schematic diagram of tooth-direction composite profile modification in an embodiment; Figure 3This is a schematic diagram of the mounting position parameters of the cylindrical turning tooth tool in an embodiment. Detailed Implementation

[0018] To make the objectives, technical solutions, and advantages of this invention clearer, the technical solutions of this invention will be clearly and completely described below in conjunction with specific embodiments and corresponding drawings. Obviously, the described embodiments are only a part of the embodiments of this invention, and not all of them. All other embodiments obtained by those skilled in the art based on the embodiments of this invention without creative effort are within the scope of protection of this invention.

[0019] The tooth profile modification method of the present invention using a cylindrical turning tool includes: Determine various core machining parameters: Determine the number of gear teeth. Modulus normal pressure angle and helix angle The basic parameters determine the tooth profile width of the gear. Left tooth surface taper modification amount Right tooth surface taper modification amount and the amount of tooth-to-tooth bulge modification on both sides Parameters are used to determine the tool's mounting axis intersection angle Σ and mounting angle. The parameters are center distance 'a' and offset distance 'e'. Decompose the composite profile modification amount and calculate the initial additional motion amount of the machine tool axis: based on the profile modification amount of the left tooth surface taper. Right tooth surface taper modification amount and the amount of tooth-to-tooth bulge modification on both sides The parameters decompose the tooth profile composite modification amount into tooth profile taper modification amount, tooth profile helix angle modification amount, and tooth profile bulging modification amount, and calculate the additional motion amount of each axis of the computer tool. Among them, the tooth profile taper modification amount is determined by the first additional motion amount from the machine tool center distance. The tooth helix angle modification is achieved by the additional rotation of the machine tool workpiece rotation axis, and the tooth drum shape modification is achieved by the second additional motion amount from the machine tool center distance. accomplish; Specifically, the end face pressure angle of the gear is first calculated using the normal pressure angle and helix angle of the gear, and then the additional motion amount corresponding to the first distance from the machine tool center to the taper modification amount is calculated. The formula for calculating the end face pressure angle is as follows: ; in, The end face pressure angle of the gear; The normal pressure angle of the gear; The helix angle of the gear; The formula for calculating the first additional motion amount of the machine tool center distance corresponding to the tooth taper modification amount is: ; in, The first additional motion amount of the machine tool center distance corresponding to the tooth taper modification amount; This refers to the width of the gear tooth profile modification. This refers to the taper modification amount on the left tooth surface of the gear. This refers to the taper modification amount on the right tooth surface of the gear. The end face pressure angle of the gear; The formula for calculating the additional rotation of the machine tool workpiece axis corresponding to the tooth helix angle modification is as follows: ; in, Add a rotation amount to the machine tool workpiece shaft corresponding to the tooth helix angle modification amount; This refers to the width of the gear tooth profile modification. The helix angle of the gear; This refers to the taper modification amount on the left tooth surface of the gear. This refers to the taper modification amount on the right tooth surface of the gear. First, calculate the radius of the drum-shaped shaping motion, and then calculate the second additional motion amount of the machine tool center distance corresponding to the tooth-direction drum-shaped shaping amount using the radius. The formula for calculating the radius of the drum-shaped shaping motion is as follows: ; in, The radius of the drum-shaped shaping motion; for For the bulging shape modification of the teeth on both sides; This refers to the width of the gear tooth profile modification. The end face pressure angle of the gear; The formula for calculating the second additional motion amount of the machine tool center distance corresponding to the tooth-direction drum-shaped modification amount is as follows: ; in The second additional motion amount is the machine tool center distance corresponding to the tooth-direction drum-shaped modification amount; Superimposing and discretizing the additional motion of machine tool axes: superimposing and discretizing the additional motion of each axis of the machine tool ( , , The additional motion of each axis of the machine tool is uniformly superimposed and distributed along the tooth profile width direction. The total additional motion of the machine tool center distance after superposition is decomposed into the additional motion in the direction of tool mounting center distance and the additional motion in the direction of offset distance, thus obtaining the additional motion of each axis of the machine tool after superposition. , , ), and modify the width of the additional motion along the tooth direction. The motion is evenly distributed across N points in the direction, with each tooth having a profile width. The position corresponds to the additional motion of each axis of a set of machine tools. , , ), where i=1,2,...N, N is a positive integer, the number of discrete points N ranges from 20≤N≤50, and N is adjusted according to the machining accuracy requirements of the gear. The higher the machining accuracy requirements, the larger the number of discrete points N. The formulas for calculating the additional motion of the machine tool center distance, which is decomposed into the additional amount in the direction of the tool mounting center distance and the additional amount in the direction of the offset distance, are as follows: ; in, Additional amount in the direction of the tool's mounting center distance; An additional amount in the direction of the offset distance; The first additional motion amount of the machine tool center distance corresponding to the tooth taper modification amount; The second additional motion amount is the machine tool center distance corresponding to the tooth-direction drum-shaped modification amount; The mounting angle for the cutting tool; Tool mounting and compound profile machining: The cylindrical gear cutting tool is mounted at an angle and offset on one side of the gear's axis of symmetry. Based on the additional motion of the machine tool axes, which is obtained by superimposing and discretizing the additional motion of the machine tool axes, the additional motion of each tooth profile width position is applied to the two linear axes X and Y of the machine tool and the workpiece rotation axis C, respectively, to complete the compound profile machining of the gear.

[0020] Furthermore, in the above-mentioned tooth-direction composite profile machining method using cylindrical gear cutting tools, during the tool installation and composite profile machining steps, when completing the tooth-direction composite profile machining, the cylindrical gear cutting tool is controlled to advance and retract along the installation angle direction, while the tool is controlled to move along the workpiece axis. Through the coupled motion of the X and Y linear axes and the C rotary axis of the machine tool, the tool cuts the gear tooth surface along the preset profile machining trajectory.

[0021] Example: Determine the core machining parameters: The gear to be machined is an involute spur internal gear with the number of teeth z. g =79, Modulus m n =2.55mm, normal pressure angle =22.5° and helix angle =0°, as Figure 2 As shown, the tooth profile width of the gear is determined. =20mm, left tooth surface taper modification amount =0.01mm, right tooth surface taper modification amount =0.015mm and lateral tooth-direction bulging modification amount =0.005mm parameter, such as Figure 3 As shown, since the tool and gear are mounted on staggered axes, the tool's projection in the OXY plane is an elliptical profile. Furthermore, because the tool is offset to one side of the gear's axis of symmetry, the actual cutting position of the tool also has an angle with the gear's axis of symmetry. This angle is the tool's mounting angle. In this example, the tool's mounting parameters are determined during tool design, specifically: axis intersection angle Σ = 20°, mounting angle... =33.73°, center distance a=29.17mm and offset distance e=-23.94mm; Decompose the composite profile modification amount and calculate the initial additional motion amount of the machine tool axis: based on the profile modification amount of the left tooth surface taper. Right tooth surface taper modification amount and the amount of tooth-to-tooth bulge modification on both sides The parameters decompose the tooth profile composite modification amount into tooth profile taper modification amount, tooth profile helix angle modification amount, and tooth profile bulging modification amount, and calculate the additional motion amount of each axis of the computer tool. Among them, the tooth profile taper modification amount is determined by the first additional motion amount from the machine tool center distance. To achieve the modification of the tooth helix angle, the additional rotation of the machine tool workpiece rotation axis is used. To achieve this, the tooth-to-tooth drum-shaped modification amount is determined by the second additional motion amount from the machine tool center distance. accomplish; Specifically, the end face pressure angle of the gear is first calculated using the normal pressure angle and helix angle of the gear, and then the first additional motion amount corresponding to the taper modification amount is calculated. The formula for calculating the end face pressure angle is as follows: ; in, The end face pressure angle of the gear; The normal pressure angle of the gear; The helix angle of the gear; The formula for calculating the first additional motion amount of the machine tool center distance corresponding to the tooth taper modification amount is: ; in, The first additional motion amount of the machine tool center distance corresponding to the tooth taper modification amount; This refers to the width of the gear tooth profile modification. This refers to the taper modification amount on the left tooth surface of the gear. This refers to the taper modification amount on the right tooth surface of the gear. The end face pressure angle of the gear; The formula for calculating the additional rotation of the machine tool workpiece axis corresponding to the tooth helix angle modification is as follows: ; in, Add a rotation amount to the machine tool workpiece shaft corresponding to the tooth helix angle modification amount; This refers to the width of the gear tooth profile modification. The helix angle of the gear; This refers to the taper modification amount on the left tooth surface of the gear. This refers to the taper modification amount on the right tooth surface of the gear. First, calculate the radius of the drum-shaped shaping motion, and then calculate the second additional motion amount of the machine tool center distance corresponding to the tooth-direction drum-shaped shaping amount using the radius. The formula for calculating the radius of the drum-shaped shaping motion is as follows: ; in, The radius of the drum-shaped shaping motion; For the bulging shape modification of the teeth on both sides; This refers to the width of the gear tooth profile modification. The end face pressure angle of the gear; The formula for calculating the second additional motion amount of the machine tool center distance corresponding to the tooth-direction drum-shaped modification amount is as follows: ; in The additional motion amount at the second distance from the machine tool center corresponding to the tooth-direction drum-shaped modification amount; Superimposing and discretizing the additional motion of machine tool axes: superimposing and discretizing the additional motion of each axis of the machine tool ( , , The additional motion of each axis of the machine tool is uniformly superimposed and distributed along the tooth profile width direction. The total additional motion of the machine tool center distance after superposition is decomposed into the additional motion in the direction of tool mounting center distance and the additional motion in the direction of offset distance, thus obtaining the additional motion of each axis of the machine tool after superposition. , , ), and modify the width of the additional motion along the tooth direction. The motion is evenly distributed across N points in the direction, with each tooth having a profile width. The position corresponds to the additional motion of each axis of a set of machine tools. , , ), where i=1,2,...N, N is a positive integer, the number of discrete points N ranges from 20≤N≤50, and N is adjusted according to the machining accuracy requirements of the gear. The higher the machining accuracy requirements, the larger the number of discrete points N. The formulas for calculating the additional motion of the machine tool center distance, which is decomposed into the additional amount in the direction of the tool mounting center distance and the additional amount in the direction of the offset distance, are as follows: ; in, Additional amount in the direction of the tool's mounting center distance; An additional amount in the direction of the offset distance; The additional motion amount corresponding to the first distance from the machine tool center to the tooth taper modification amount; The second additional motion amount is the machine tool center distance corresponding to the tooth-direction drum-shaped modification amount; The installation angle of the tool is used to obtain the final superimposed additional motion of each axis of the machine tool. =0.0349mm, =0.0233mm, =0.007°). Tool mounting and composite profile machining: The cylindrical gear turning tool is mounted at an angle and offset on one side of the gear's axis of symmetry. Based on the additional motion of the machine tool axes obtained through the superposition and discretization of additional motion distribution steps, the additional motion of each tooth profile width corresponding to each machine tool axis is applied to the two linear axes X and Y of the machine tool and the workpiece rotation axis C, respectively. The tool moves along the mounting angle... The tool feeds and retracts at a 33.73° angle, moving along the workpiece axis to complete the composite profile modification of the gear teeth.

[0022] It should be noted that, unless otherwise expressly specified and limited, the term "connection" or its synonyms should be interpreted broadly in this document. For example, "connection" can be a fixed connection or a detachable connection; it can be a mechanical connection or an electrical connection; it can be a direct connection or an indirect connection through an intermediate medium; it can be the internal communication of two elements or the interaction between two elements. Those skilled in the art can understand the specific meaning of the above terms in this invention according to the specific circumstances. Furthermore, expressions such as "first" and "second" are merely used to distinguish one entity or operation from another, and do not necessarily require or imply any such actual relationship or order between these entities or operations. Meanwhile, the terms "comprising," "including," or any other variations thereof are intended to cover non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements includes not only those elements but also other elements not expressly listed, or elements inherent to such a process, method, article, or apparatus. In addition, the terms "front," "rear," "left," "right," "upper," and "lower" in this document refer to the placement states shown in the accompanying drawings.

[0023] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention, and not to limit them; although the present invention has been described in detail with reference to the foregoing embodiments, those skilled in the art should understand that modifications can still be made to the technical solutions described in the foregoing embodiments, or equivalent substitutions can be made to some of the technical features; and these modifications or substitutions do not cause the essence of the corresponding technical solutions to deviate from the spirit and scope of the technical solutions of the embodiments of the present invention.

Claims

1. A method for composite tooth profile modification using a cylindrical turning tool, characterized in that, The tooth profile modification method using cylindrical turning tools includes: Determine various core machining parameters: determine the basic parameters of gear tooth count, module, normal pressure angle and helix angle; determine the gear tooth profile width, left tooth surface taper profile, right tooth surface taper profile and both sides tooth profile drum profile profile parameters; determine the tool mounting shaft intersection angle, mounting angle, center distance and offset distance parameters. Decompose the composite shaping amount and calculate the initial additional motion of the machine tool axis: Decompose the tooth direction composite shaping amount into tooth direction taper shaping amount, tooth direction helix angle shaping amount, and tooth direction drum shaping amount, and calculate the additional motion of each axis of the machine tool. Among them, the tooth direction taper shaping amount is realized by the first additional motion of the machine tool center distance, the tooth direction helix angle shaping amount is realized by the additional rotation of the machine tool workpiece rotation axis, and the tooth direction drum shaping amount is realized by the second additional motion of the machine tool center distance. Superimpose and discretize the additional motion of machine tool axes: uniformly superimpose and distribute the additional motion of each machine tool axis along the tooth profile width direction, decompose the superimposed total additional motion of the machine tool center distance into the additional motion in the direction of the tool mounting center distance and the additional motion in the direction of the offset distance, obtain the superimposed additional motion of each machine tool axis, and uniformly distribute the additional motion of each axis along the tooth profile width direction into the motion of N points, with each tooth profile width position corresponding to a set of additional motion of each machine tool axis; Tool mounting and compound profile machining: The cylindrical gear cutting tool is mounted at an angle and offset on one side of the gear's axis of symmetry. Based on the additional motion of the machine tool axes, which is obtained by superimposing and discretizing the additional motion of the machine tool axes, the additional motion of each tooth profile width position is applied to the two linear axes X and Y of the machine tool and the workpiece rotation axis C, respectively, to complete the compound profile machining of the gear.

2. The tooth profile modification method using a cylindrical turning tool according to claim 1, characterized in that, In the step of decomposing the composite shaping amount and calculating the initial additional motion of the machine tool shaft, the end face pressure angle of the gear is first calculated using the normal pressure angle and helix angle of the gear. Then, the first additional motion of the machine tool center distance corresponding to the taper shaping amount is calculated. The formula for calculating the end face pressure angle is: ； in, The end face pressure angle of the gear; The normal pressure angle of the gear; The helix angle of the gear.

3. The tooth profile modification method using a cylindrical turning tool according to claim 2, characterized in that, The formula for calculating the first additional motion amount of the machine tool center distance corresponding to the tooth taper modification amount is as follows: ； in, The additional motion amount corresponding to the first distance from the machine tool center to the tooth taper modification amount; This refers to the width of the gear tooth profile modification. This refers to the taper modification amount on the left tooth surface of the gear. This refers to the taper modification amount on the right tooth surface of the gear. The pressure angle of the gear's end face.

4. The tooth profile modification method using a cylindrical turning tool according to claim 1, characterized in that, In the step of decomposing the composite modification amount and calculating the initial additional motion of the machine tool axis, the calculation formula for the additional rotation of the machine tool workpiece rotation axis corresponding to the tooth helix angle modification amount is: ； in, Add a rotation amount to the machine tool workpiece shaft corresponding to the tooth helix angle modification amount; This refers to the width of the gear tooth profile modification. The helix angle of the gear; This refers to the taper modification amount on the left tooth surface of the gear. This refers to the taper modification amount on the right tooth surface of the gear.

5. The tooth profile modification method using a cylindrical turning tool according to claim 2, characterized in that, In the step of decomposing the composite shaping amount and calculating the initial additional motion amount of the machine tool axis, the radius of the drum-shaped shaping motion is first calculated, and then the additional motion amount of the second distance from the machine tool center corresponding to the tooth-direction drum-shaped shaping amount is calculated using the radius. The formula for calculating the radius of the drum-shaped shaping motion is as follows: ； in, The radius of the drum-shaped shaping motion; For the bulging shape modification of the teeth on both sides; This refers to the width of the gear tooth profile modification. The end face pressure angle of the gear; The formula for calculating the second additional motion amount of the machine tool center distance corresponding to the tooth-direction drum-shaped modification amount is as follows: ； in The additional motion amount at the second distance from the machine tool center corresponds to the tooth-direction drum-shaped modification amount.

6. The tooth profile modification method using a cylindrical turning tool according to claim 1, characterized in that, In the step of superimposing and discretizing the additional motion of the machine tool axes, the calculation formulas for decomposing the additional motion of the machine tool center distance into the additional motion in the direction of the tool mounting center distance and the additional motion in the direction of the offset distance are as follows: ； in, Additional amount in the direction of the tool's mounting center distance; An additional amount in the direction of the offset distance; The additional motion amount corresponding to the first distance from the machine tool center to the tooth taper modification amount; The additional motion amount at the second distance from the machine tool center corresponding to the tooth-direction drum-shaped modification amount; This refers to the mounting angle of the cutting tool.

7. The tooth profile modification method using a cylindrical turning tool according to claim 1, characterized in that, In the step of superimposing and discretizing the additional motion of the machine tool axis, N is a positive integer, and the number of discrete points N ranges from 20 to 50. N is adjusted according to the machining accuracy requirements of the gear. The higher the machining accuracy requirements, the larger the number of discrete points N.

8. The tooth profile modification method using a cylindrical turning tool according to claim 1, characterized in that, In the tool installation and compound profile machining steps, when completing the tooth profile compound profile machining, the cylindrical turning tool is controlled to advance and retract along the installation angle direction, while the tool is controlled to move along the workpiece axis. Through the coupled movement of the X and Y linear axes and the C rotary axis of the machine tool, the tool cuts the gear tooth surface along the preset profile machining trajectory.

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