Tooth turning machining method for common curve tooth cylindrical gear

Abstract

The invention discloses a tooth turning machining method for a general curve toothed spur gear. The method comprises the steps of designing basic parameters and tooth trace shapes of the general curve toothed spur gear, designing basic parameters and geometric structures of a cutter, and designing a tooth turning machining motion control method for the general curve toothed spur gear with a variable cutter shaft included angle. The tooth trace shape is represented on a reference cylinder expansion plane as a higher order polynomial function with respect to a tooth width machining position. The cutter is a cutter with a plurality of cutter strips arranged in the circumferential direction of the cutter body. The tooth turning machining motion control method with the variable cutter shaft included angle comprises the space position constraint relation and the rotation angle constraint relation which need to be met by a cutter and a workpiece in the tooth turning machining process. According to the machining method, expression is carried out on the basis of a tooth trace polynomial, efficient machining of common curve tooth cylinder inner and outer gears is achieved through continuous generating cutting motion, and a new solution is provided for machining and manufacturing of high-performance gears.

Description

Technical Field

[0001] The invention relates to the technical field of gear tooth turning processing and proposes a tooth turning processing method for a general curved tooth cylindrical gear. Background Art

[0002] Curved tooth cylindrical gear is a new type of gear, and its main feature is that the tooth line along the tooth width direction on the reference cylindrical unfolding plane is a general curve. Curved tooth cylindrical gear is also called circular arc tooth line cylindrical gear, arc tooth cylindrical gear, arch arc tooth cylindrical gear, curve gear, C gear, etc. Curved tooth cylindrical gear overcomes the shortcomings of unstable transmission when spur tooth cylindrical gear meshes in and out, axial force of helical tooth cylindrical gear and the need for back-cutting groove in herringbone gear processing. Therefore, it can be used as a substitute in most usage scenarios and has the potential to replace traditional gear forms. Curved tooth cylindrical gear has the characteristics of good meshing performance, high overlap, strong load-bearing capacity and low sensitivity to installation errors. Therefore, it is very suitable for use in high-speed, heavy-load, high-reliability and lightweight occasions, such as high-speed rail traction transmission systems, aviation fields, etc., and has broad application prospects. Publication No. CN 116713542 A discloses a "Method for machining a curved rack using a vertical milling machine". This patent uses an arc bevel gear disc milling cutter to machine a rack blank to produce a circular arc tooth line tooth shape; Publication No. 113319376A discloses a "Cutter and method for machining an arc tooth cylindrical gear pair". The patent uses three independent cutters to machine a pair of arc gear pairs, and the radius of one pair of inner and outer blade cutters is adjustable; Publication No. CN 113182616A discloses a "Device and method for machining a cylindrical gear with variable hyperbolic arc tooth line". In the patent, the cutter is fixed on a slide rail, and the distance between the tooth blank and the cutter is adjusted according to the tooth line radius to achieve the machining of gears with different tooth line radii; Publication No. CN 113084266 A discloses a "Machine tool and method for machining a cylindrical gear with variable hyperbolic arc tooth line". The cutter performs circular arc reciprocating motion driven by a connecting rod, and the installation radius is the tooth line radius; Publication No. CN 114029560A discloses "A tool combination and processing method for processing variable hyperbolic arc tooth line cylindrical gears". This patent proposes a double-edged rotating cutter disc, which uses the inner and outer blades to mill the workpiece and cut out the convex and concave surfaces of the gear at the same time; Publication No. CN 115889899 A discloses "A processing machine tool and processing method for circular arc tooth line cylindrical internal gears". This patent allows three tools to only swing back and forth, and only one pair of tooth surfaces are reciprocated at a time; Publication No. CN 119140921 A discloses "A processing machine tool for large circular arc tooth line cylindrical gears". This patent design contains a machine tool with modular arc-shaped tools to process circular arc tooth line cylindrical gears with larger diameters and higher heights; the above patents all require tooth-by-tooth indexing. Therefore, the existing processing methods for curved tooth cylindrical gears have the disadvantages of high tool cost, low processing efficiency, and great difficulty in tooth shape control. There is an urgent need for new, efficient and high-precision machining methods for the machining of general curved tooth internal and external cylindrical gears. Summary of the invention

[0003] (I) Purpose of the invention

[0004] The present invention is mainly used to solve the shortcomings of the existing curved tooth cylindrical gear processing method, such as high tool cost, low processing efficiency and great difficulty in tooth shape control, and provides a new high-efficiency and high-precision processing method for general curved tooth internal and external cylindrical gears.

[0005] (II) Technical solution:

[0006] To achieve the above-mentioned purpose, the technical solution adopted by the present invention is: a method for machining the teeth of a general curved tooth cylindrical gear.

[0007] The present invention discloses a method for machining a general curved tooth cylindrical gear based on the principle of gear machining, which analyzes the relationship between the workpiece and the tool rotation speed during the machining of spur gears and helical gears, introduces a variable tooth line helix angle, expresses the tooth line equation on the reference cylinder unfolding plane, and derives a method for machining a general curved tooth, so that the tool can machine a curved tooth cylindrical gear whose tooth line is a general curve.

[0008] The "a general method for machining teeth of a cylindrical gear with curved teeth" described in the present invention has the following steps:

[0009] Step A: Determine the basic parameters of the curved tooth cylindrical gear to be processed;

[0010] Step B: Establishing a tool model according to the parameters of the processed curved tooth cylindrical gear;

[0011] Step C: According to the principle of gear skiving, the gear skiving method of general curved tooth cylindrical gear is derived based on the gear skiving method of spur gear and helical gear;

[0012] Step D: Processing by six-axis vertical machine tool.

[0013] Through the above steps, the gear cutting of general curved tooth cylindrical gears can be realized. The method has strong versatility and can process gear pairs with different tooth line shapes according to the requirements of gear meshing performance. The present invention is mainly described through several embodiments.

[0014] Among them, the "determine the processing parameters of the curved tooth cylindrical gear to be processed" described in step A is as follows: Based on the gear principle, the basic parameters of the gear to be processed are designed, with right-hand rotation as positive when facing the gear tooth groove surface. The parameters to be determined are: number of teeth z 2 , normal modulus m n , pressure angle α 2 , top helix angle β t , bottom helix angle β b , tooth width b, pitch circle diameter d = m 2 × 2; Taking the intersection of the mid-section of the tooth width, the reference cylindrical surface and the tooth surface as the coordinate zero point, unfold the cylindrical gear along the generatrix of the reference cylinder, then the tooth line can be expressed as a polynomial function f(h) about the tooth width position, that is, as shown in formula (1).

[0015] Among them, the "establishment of a tool model based on the parameters of the processed curved tooth cylindrical gear" described in step B is as follows: This method is suitable for the processing of both internal and external curved tooth cylindrical gears, and the same tool can be used for both. Therefore, the corresponding tool parameters can be determined based on the number of teeth and module of the designed curved tooth cylindrical gear; the cutting edge curve of the blade can be freely designed as an involute, parabola, straight line and other shapes, and can be designed according to the needs of meshing performance; the present invention uses a straight-edged blade tool as an example for demonstration. Based on the basic principles of gears, while meeting the processing requirements, adhering to the purpose of simplifying the design of the tool, the rake angle γ and the helix angle β are established. 1 The tool helix angle is 0°, and the tooth profile is right-handed when facing the tool tooth groove surface in the machining state. In order to avoid interference between the tool back face and the tooth surface during cutting, a special tool for gear turning machining is established in which the blade is arranged along the circumference of the tool body. The tool includes a tool body and at least one tooth arranged around the circumference, and the number of tool teeth and the number of workpiece teeth are prime numbers to each other.

[0016] Among them, the method of "deriving the general curved tooth cylindrical gear machining method based on the gear machining principle and the gear machining method of spur gears and helical gears according to step C" is as follows: Gear machining is the process in which the tool blade curve envelops the gear tooth surface with two degrees of freedom. During machining, the tool needs to be deflected by a certain angle so that the axis angle β formed by the tool rotation axis and the workpiece rotation axis is a The instantaneous helix angle of the tooth line is always kept equal; the tool feeds along the radial and axial directions of the workpiece gear respectively, and during the axial feeding process, the tool reference circle is tangent to the reference cylindrical surface at the radial feeding point of the workpiece gear. The cutting process includes the tool and the workpiece with ω 1 / ω 2 =z 2 / z 1 The speed ratio relationship is the gear indexing motion rotating around their respective rotation axes and the axial feed motion at which the workpiece provides a certain additional speed to cut out the complete tooth width.

[0017] β a =β 2 +β 1 (3)

[0018] In the present invention, the workpiece is provided with additional rotation as an example for explanation, and the relationship between the workpiece rotation speed, the tool rotation speed and the axial feed speed is:

[0019]

[0020] β 2=arctan f'(h)(6)

[0021] Among them, z 1 , z 2 Represents the number of teeth of the tool and workpiece, β 2 Represents the instantaneous helix angle of the workpiece gear tooth line, ω 1 ,ω 2 Represents the angular velocity of the tool and workpiece rotating around their respective axes, tanβ 2 (h) is a function of h. If a curved gear is to be machined, the additional rotation angle is not a constant, and the tooth line control parameter in f(h) determines the instantaneous tooth line helix angle of the gear to be machined. Different tooth line shapes have an important influence on the gear meshing performance. The present invention supports active design of the tooth line to meet the gear performance requirements and processing requirements.

[0022] Among them, the "processing by a six-axis vertical machine tool" described in step D is as follows: the six-axis vertical machine tool includes seven parts, three rotary axes and three linear axes. The rotary axis C controls the rotation of the workpiece, and the X-axis and Y-axis control the horizontal movement of the workpiece. The rotary axis A controls the axis angle between the tool rotation axis and the workpiece rotation axis, and the rotary axis B controls the tool rotation. The linkage of the rotary axis A, the rotary axis C, the rotary axis B and the Z axis controls the indexing motion and axial feed motion during processing.

[0023] (III) Advantages and innovations

[0024] The present invention has the following innovative features:

[0025] 1. The present invention is not aimed at a curved tooth cylindrical gear with a specific tooth line helix angle, but is a general gear cutting method for a general curved tooth cylindrical gear that can freely design and process the tooth line according to the gear performance requirements. Compared with the known processing scheme, the present invention can realize automatic indexing during the processing of curved tooth cylindrical gears, which can greatly improve the processing efficiency and is applicable to both internal and external gears.

[0026] 2. The present invention has strong adaptability to cutting tools. Depending on the gear to be processed, curves such as parabola, involute, straight line, etc. can be selected as the cutting edge curve of the blade. The blade is arranged along the circumference of the tool body. The front angle and helix angle can be set to 0°. Use in this invention can avoid interference with the gear tooth surface.

[0027] 3. Based on ISO standards, the present invention proposes a calculation process and specific calculation method for the basic parameters of curved tooth cylindrical gears, and gives a representation method for the tooth line of a general curved tooth cylindrical gear and a new tool structure with circumferentially arranged blades, providing a reference for the representation and calculation of curved tooth cylindrical gear parameters.

[0028] In summary, this general curved tooth cylindrical gear processing method based on gear skiving can improve the gear processing efficiency and provide a new solution for the processing and manufacturing of high-performance gears. BRIEF DESCRIPTION OF THE DRAWINGS

[0029] Figure 1 It is a schematic diagram of a single tooth structure of a general curved tooth cylindrical gear of the present invention;

[0030] Figure 2 It is a schematic diagram of the shape of a general curved tooth line on the developed surface of a reference cylinder of the present invention;

[0031] Figure 3 It is a schematic diagram of the structure of a cylindrical gear with external curved teeth having a symmetrical structure according to the present invention;

[0032] Figure 4 It is a schematic diagram of the structure of a general curved tooth external cylindrical gear with an asymmetric structure of the present invention;

[0033] Figure 5 It is a schematic diagram of the structure of a cylindrical gear with internal curved teeth having a symmetrical structure according to the present invention;

[0034] Figure 6 It is a schematic diagram of the structure of a general curved tooth internal cylindrical gear with an asymmetric structure of the present invention;

[0035] Figure 7 Schematic diagram of a tool without an installed inclination angle according to the present invention;

[0036] Figure 8 This is a schematic diagram of the present invention having an inclined cutting tool installed;

[0037] Fig. 9 It is a schematic diagram of the positional relationship between the tool of the present invention and the inner and outer curved tooth cylindrical gears with symmetrical structures;

[0038] Fig.10 It is a schematic diagram of the positional relationship between the tool of the present invention and the inner and outer curved tooth cylindrical gears with asymmetric structures;

[0039] Fig.11 It is a structural schematic diagram of a six-axis vertical machine tool of the present invention; DETAILED DESCRIPTION

[0040] The technical scheme in the embodiment of the present invention is further described below in conjunction with the drawings in the embodiment of the present invention. Obviously, the described embodiment is only a part of the embodiment of the present invention, not all of the embodiments. Based on the embodiment of the present invention, all other embodiments obtained by ordinary technicians in this field without making creative work are within the scope of protection of the present invention.

[0041] The present invention is a method for machining a general curved tooth cylindrical gear. The method includes designing basic parameters and tooth line shape of the general curved tooth cylindrical gear, designing basic parameters of the tool and its geometric structure, and designing a motion control method for machining a general curved tooth cylindrical gear with a variable cutter shaft angle. The tooth line shape is represented by a high-order polynomial function about the tooth width machining position on the reference cylindrical expansion plane. The tool is a tool with a plurality of blades arranged along the circumference of the tool body. The motion control method for machining a general curved tooth cylindrical gear with a variable cutter shaft angle includes a spatial position constraint relationship and a rotation angle constraint relationship that the tool and the workpiece need to satisfy during the gear machining process. The spatial position constraint includes that the instantaneous axis angle formed by the tool rotation axis and the workpiece rotation axis is equal to the instantaneous helix angle of the tooth line, the tool feeds radially and axially along the workpiece gear respectively, and during the axial feeding process, the tool pitch circle is tangent to the reference cylindrical surface at the radial feeding position of the workpiece gear. The rotation angle constraint includes the relationship between the rotation angles of the workpiece gear and the tool around their respective axes and the axial feeding position of the tool along the tooth width direction, which can be represented based on the tooth line polynomial. This processing method achieves efficient processing of general curved tooth cylindrical internal and external gears through continuous cutting motion, providing a new solution for the processing and manufacturing of high-performance gears.

[0042] like Figures 1 to 11 As shown, an embodiment of the present invention provides a method for machining teeth of a general curved tooth cylindrical gear, including a method for machining teeth of a general curved tooth internal and external cylindrical gear, comprising the following steps:

[0043] Among them, the method of "determining the processing parameters of the curved tooth cylindrical gear to be processed" in step A is as follows: based on the gear principle, the basic parameters of the gear to be processed are designed so that the right hand rotation is positive when facing the gear tooth groove surface. Figure 1-6 As shown, the parameters to be determined are: number of teeth z 2 , normal modulus m n , pressure angle α 2 , top helix angle β t , bottom helix angle β b , tooth width b, reference circle diameter d = m 2 × 2 ; Taking the intersection of the mid-section of the tooth width, the reference cylindrical surface and the tooth surface as the coordinate zero point, unfold the cylindrical gear along the generatrix of the reference cylinder, then the tooth line can be expressed as a polynomial function f(h) about the tooth width position, then the arc length corresponding to the additional rotation angle of any point i on the tooth line is unfolded on the unfolded plane of the reference cylinder to be f(h i )=r 2 ×β i .

[0044] Select as Figure 4 , 6The general curved tooth cylindrical gear with an asymmetric structure shown in the figure is an embodiment, and the calculation results of relevant parameters are shown in Table 1 below:

[0045] Table 1 Basic parameters of curved tooth cylindrical gears

[0046]

[0047]

[0048] Among them, the "establishing a tool model according to the parameters of the processed curved tooth cylindrical gear" described in step B is as follows: This method is suitable for the processing of both internal and external curved tooth cylindrical gears, and the same tool can be used for both. Therefore, the corresponding tool parameters can be determined according to the number of teeth and module of the designed curved tooth cylindrical gear; Figure 7 , 8 As shown, the tool includes a tool body and at least one blade arranged around the periphery. The number of teeth of the tool and the number of teeth of the workpiece are prime numbers. The cutting edge curve of the blade can be freely designed as an involute, a parabola, a straight line, etc., and can be designed according to the needs of meshing performance. The present invention takes a 23-tooth tool with a straight blade as an example for demonstration. Based on the basic principle of gears, while meeting the processing requirements, adhering to the purpose of simplifying the design of the tool, the rake angle γ and the helix angle β are established. 1 The tool helix angle is 0°, and the tooth profile is right-handed when facing the tool tooth groove surface in the processing state. The tool blade can be disassembled and replaced independently. The tooth thickness and tooth width of the tool blade can be freely set under the condition of meeting the gear processing stiffness requirements to avoid interference between the tool back face and the tooth surface during the cutting process.

[0049] Among them, the method of "deriving the general curved tooth cylindrical gear machining method based on the principle of gear machining and the gear machining method of spur gears and helical gears according to the gear machining principle of step C" is as follows: Fig. 9 , 10 As shown in the figure, gear turning is the process in which the tool blade curve envelopes the gear tooth surface with two degrees of freedom. During processing, the tool needs to be deflected at a certain angle so that the axis angle β formed by the tool rotation axis and the workpiece rotation axis is a Always keep it equal to the instantaneous helix angle of the tooth line; the tool feeds along the radial and axial directions of the workpiece gear respectively, and during the axial feeding process, the tool pitch circle is tangent to the reference cylindrical surface at the radial feeding point of the workpiece gear. For a single internal and external gear embodiment, the cutting process includes the tool and the workpiece with ω 1 / ω 2 =z 2 / z 1 =31 / 23 speed ratio relationship between the gear indexing motion rotating around their respective rotation axes and the axial feed motion with a certain additional speed provided by the workpiece to cut out the complete tooth width.

[0050] The distance between the tool rotation axis and the workpiece gear rotation axis is defined as the center distance

[0051] a=r 2 +kr 1 (7)

[0052] Where r 1 is the pitch circle radius of the gear cutting cutter, r 2 is the pitch circle radius of the workpiece gear; k represents the meshing type between the tool and the workpiece, when it is external meshing, k=1, when it is internal meshing, k=-1; then the center distances of the single internal and external gears in the embodiment are respectively a n =20, a w =135.

[0053] According to the selected embodiment parameters, the tooth line shape is controlled by a third-order function, and the specific tooth line shape function of a single internal and external gear instance can be uniformly expressed as:

[0054] f(h)=-0.4452 h 0.50510 -2 h 2 -0.95210 -5 h 3 (8)

[0055] As shown in formula (1), where a i (i=1, 2, 3,) is the coefficient for controlling the tooth line shape; h is the height of the tool at any processing position during the processing, and its order can be set according to actual needs. The difference in height between the upper and lower end faces of the workpiece is the tooth width of the curved tooth cylindrical gear.

[0056] In the present invention, the workpiece gear provides additional rotation as an example, and the relationship between the workpiece angle and the tool angle is:

[0057]

[0058] Among them, z 1 , z 2 Represent the number of teeth of the tool and workpiece respectively, the value of k is the same as above, θ 1 ,θ 2 Respectively represent the angles of rotation of the tool and the workpiece around their respective axes. The tooth line control parameter in f(h) determines the instantaneous tooth line helix angle of the gear to be processed. If a helical gear is to be processed, the tooth line control parameter is set to the first order; if a curved gear is to be processed, its tooth line control parameter is at least the second order; when processing a spur gear, the tooth line control parameters are all 0. At this time, the tool with a 0 helix angle needs to be installed at a certain tilt to generate a cutting speed. This installation tilt angle can be regarded as the tool's helix angle β 1 ,like Figure 8Different tooth line shapes have a significant impact on the gear meshing performance. The present invention supports active design of the tooth line to meet the gear performance requirements and processing requirements.

[0059] like Figure 4 , 6 As shown, the selected embodiment is a curved tooth cylindrical internal and external gear. After the tooth line shape function is given, the tooth width is determined, that is, the helix angle corresponding to the upper and lower end faces of the gear is determined; the gear processing can be realized by accurately expressing the tooth line equation.

[0060] For a single internal gear instance:

[0061]

[0062] For a single external gear instance:

[0063]

[0064] The method of "processing by a six-axis vertical machine tool" in step D is as follows: Fig.11 As shown in the figure, the vertical six-axis gear turning machine model is divided into seven parts:

[0065] Base component: bed, used to fix and install machine tool components;

[0066] The X-axis and Y-axis are both in the horizontal direction, perpendicular to the workpiece rotation axis, and are used to adjust the center distance a;

[0067] Z axis: in the vertical direction, parallel to the workpiece rotation axis, used to adjust the vertical position h of the tool and the workpiece;

[0068] A-axis: used to adjust the axis angle β between the tool and the workpiece rotation axis a ;

[0069] B axis: tool rotation axis, used to clamp the tool and drive the tool to rotate;

[0070] C-axis: workpiece rotation axis, used to clamp the workpiece and drive the workpiece to rotate.

[0071] During machining, the A axis is rotated to make the instantaneous axis angle β between the tool rotation axis and the workpiece rotation axis a Always the instantaneous helix angle β with the tooth line i The tool is adjusted to feed along the radial and axial directions of the workpiece gear by adjusting the X-axis, Y-axis, and Z-axis. During the axial feeding process, the tool pitch circle is tangent to the reference cylindrical surface at the radial feeding position of the workpiece gear. The rotation angle θ of the workpiece and the tool 2 and θ 1They correspond to the rotational motion of the C-axis and B-axis in the gear cutting machine, and the axial feed distance L corresponds to the feed motion of the Z-axis. The gear cutting of the curved tooth cylindrical gear can be achieved by controlling the coordinated motion of each axis. The corresponding calculation formula is as follows:

[0072]

[0073] Substitute the parameters in the embodiment, specifically:

[0074]

[0075] where x d Indicates the turning radius of the tool reference coordinate system origin; m d It indicates the workpiece installation distance, that is, the height of the workpiece coordinate system relative to the workpiece axis locating surface.

[0076] It should be noted that the terms "including", "the present invention" or any other variations used in this document are intended to cover non-exclusive inclusion, so that a process, method, article or equipment that includes a series of elements includes not only those elements, but also includes other elements that are not explicitly listed, or also includes elements that are inherent to such process, method, article or equipment.

[0077] Although the present invention has been described with reference to more embodiments, it should be understood that the present invention is not limited to its specific form. For those of ordinary skill in the art, various changes, modifications, substitutions and variations can be made to these embodiments without departing from the principles and spirit of the present invention, and the scope of the present invention is limited by the appended claims and their equivalents.

Claims

1. A method for machining teeth of a general curved tooth cylindrical gear, used for machining a general curved tooth cylindrical gear, characterized in that: The method comprises: Design basic parameters and tooth profile of curved tooth cylindrical gears; Design basic tool parameters and its geometric structure; A motion control method for gear turning of general curved tooth cylindrical gears with variable cutter axis angle is designed.

2. The method for machining teeth of a general curved tooth cylindrical gear according to claim 1, characterized in that: The basic parameters and tooth line shape of the designed curved tooth cylindrical gear include determining the number of teeth z, module m, tooth width b, pressure angle α, and tooth line shape function f(h). The tooth line shape function f(h) is a polynomial function defined on the reference cylinder expansion plane about the tooth width position h, which is specifically expressed as: f(h)=a1h+a2h 2 +a3h 3 +a4h 4 +a5h 5 +o(h 5 ) (1) The two meshing gears are designed with different tooth line shapes according to the requirements of gear meshing performance.

3. The method for machining teeth of a general curved tooth cylindrical gear according to claim 1, characterized in that: The tool comprises a plurality of blades circumferentially mounted on the tool body. The cutting edge curve of the blade is adjusted and designed to be an involute, a parabola, a straight line, etc. according to the processing needs. The front angle γ, the tooth thickness s, and the top edge clearance angle α of the blade are designed based on the interference boundary conditions in the process of cutting the gear of the selected curved tooth cylindrical gear. s , helix angle β, tooth width b and tool reference circle radius r1 structural parameters.

4. The method for machining teeth of a general curved tooth cylindrical gear according to claim 1, characterized in that: The motion control method for the gear cutting processing of a general curved tooth cylindrical gear with a variable tool axis angle includes that the tool and the workpiece need to satisfy a certain spatial position constraint relationship and a rotation angle constraint relationship during the gear cutting process; the spatial position constraint includes: the instantaneous axis angle formed by the tool rotation axis and the workpiece rotation axis is equal to the instantaneous helix angle of the tooth line, the tool is fed along the radial and axial directions of the workpiece gear respectively, and the tool pitch circle is tangent to the reference cylindrical surface at the radial feed position of the workpiece gear during the axial feed process; the rotation angle constraint includes: the relationship between the rotation angles of the workpiece gear and the tool around their respective axes and the axial feed position of the tool along the tooth width direction can be expressed based on the tooth line shape function; 5. The method for machining teeth of a general curved tooth cylindrical gear according to claim 4, characterized in that: The tool is ω1=z 2 The rotation speed of z1×ω2 makes indexing motion with the workpiece gear, and at the same time, the reference point on the tool reference circle is fed along the tooth line to realize the processing of the curved tooth cylindrical gear; these two schemes are both embodiments of the processing method designed by the present invention.

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