CN117680770A - Turning gear machining tool and method for machining modified cycloid secondary enveloping internal gear - Google Patents
Turning gear machining tool and method for machining modified cycloid secondary enveloping internal gear Download PDFInfo
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- 238000003754 machining Methods 0.000 title claims abstract description 77
- 238000007514 turning Methods 0.000 title claims abstract description 42
- 238000000034 method Methods 0.000 title claims abstract description 31
- 238000012545 processing Methods 0.000 claims abstract description 25
- 238000007493 shaping process Methods 0.000 claims abstract description 17
- 238000005520 cutting process Methods 0.000 claims abstract description 15
- 230000036346 tooth eruption Effects 0.000 claims abstract description 9
- 230000033001 locomotion Effects 0.000 claims description 15
- 238000012937 correction Methods 0.000 claims description 6
- 238000012986 modification Methods 0.000 claims description 4
- 230000004048 modification Effects 0.000 claims description 4
- 238000005096 rolling process Methods 0.000 claims description 3
- 238000013461 design Methods 0.000 abstract description 17
- 238000004519 manufacturing process Methods 0.000 abstract description 12
- 230000005540 biological transmission Effects 0.000 description 5
- 238000006073 displacement reaction Methods 0.000 description 4
- 238000005516 engineering process Methods 0.000 description 3
- 238000010862 gear shaping Methods 0.000 description 3
- 238000003672 processing method Methods 0.000 description 3
- 208000031872 Body Remains Diseases 0.000 description 2
- 229910000831 Steel Inorganic materials 0.000 description 2
- 239000003638 chemical reducing agent Substances 0.000 description 2
- 230000000694 effects Effects 0.000 description 2
- 238000010438 heat treatment Methods 0.000 description 2
- 210000001503 joint Anatomy 0.000 description 2
- 239000000463 material Substances 0.000 description 2
- 230000002093 peripheral effect Effects 0.000 description 2
- 230000002035 prolonged effect Effects 0.000 description 2
- 239000010959 steel Substances 0.000 description 2
- 239000002344 surface layer Substances 0.000 description 2
- 238000005496 tempering Methods 0.000 description 2
- 229910001339 C alloy Inorganic materials 0.000 description 1
- 229910000954 Medium-carbon steel Inorganic materials 0.000 description 1
- 229910045601 alloy Inorganic materials 0.000 description 1
- 239000000956 alloy Substances 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
- 238000005255 carburizing Methods 0.000 description 1
- 230000017525 heat dissipation Effects 0.000 description 1
- 238000000265 homogenisation Methods 0.000 description 1
- 238000005461 lubrication Methods 0.000 description 1
- 238000013507 mapping Methods 0.000 description 1
Abstract
The invention discloses a turning gear machining tool and a turning gear machining method for machining a modified cycloid secondary enveloping internal gear, wherein the turning gear machining tool comprises a tool body, the whole tool adopts a bowl-shaped structure, and the tool body comprises an integrally-formed mounting part and a workbench; the mounting part is used for connecting a machine tool spindle, the workbench is in a frustum shape, the top surface of the frustum shape and the bottom surface of the mounting part are fixed to form a whole, and the cutting teeth are uniformly and continuously distributed on the conical surface of the workbench in an inclined tooth shape around the axis of the mounting part with a set spiral angle; the end face tooth shape of the cutting tooth is a cycloid tooth profile subjected to comprehensive shaping, and a secondary enveloping meshing pair is formed with the gear to be processed, so that secondary shaping of the internal gear is not needed; in the processing process, no non-processing idle stroke exists, the processing efficiency is high, and the processing precision is high; after the cutter teeth are shaped, the strength of the cutter body is improved, and meanwhile, the tooth shape deviation of the secondary enveloping cycloidal internal gear is reduced; the internal gear can adopt a middle hard tooth surface design, so that the precision machining process of the internal gear is greatly simplified, and the manufacturing cost is reduced.
Description
Technical Field
The invention belongs to the technical field of cutter body machining, and particularly relates to a turning cutter and a turning method for machining a modified cycloid secondary enveloping internal gear.
Background
The cycloid secondary enveloping meshing pair is continuous tooth form, has the phenomena of multi-tooth meshing and double-line contact in the transmission process, has the advantages of large bearing, high precision, error homogenization and the like, and has wide application prospect in the technical fields of precision transmission and robot joints. The prior art CN 1844704A-provides a secondary envelope cycloid planetary transmission device, which effectively improves transmission precision and bearing capacity and greatly prolongs the service life of a speed reducer.
The prior art CN 102486226A-discloses a processing method for processing an internal gear by using a generating method and a pantoid gear shaping cutter, which effectively solves the problems of difficult processing, low shape precision and the like, but has a non-processing stroke. The traditional processing technology (gear shaping, linear cutting and the like) has the problems of difficult processing, low efficiency, difficult guarantee of precision and the like in the production of the secondary enveloping inner gear, and cannot realize the mass production of the secondary enveloping inner gear. Secondly, in order to avoid assembly interference and leave a certain lubrication gap to accelerate heat dissipation, the cycloidal gear processed in the traditional mode must be shaped to ensure normal transmission of work.
The turning gear processing is an efficient and high-precision processing mode, and the technology combines the processing characteristics of two traditional gears, namely gear shaping and gear hobbing, and has obvious technical advantages. The prior art-CN 207057763-discloses a gear turning cutter for machining the inner teeth of a gear housing of a speed reducer, and provides a bowl-shaped gear turning cutter for machining the gear housing, so that the efficiency and the precision for machining the gear housing are greatly improved. However, the existing turning tools are of a structure for machining discontinuous tooth shapes (involute gears, pin gear shells and the like) and are not suitable for machining continuous tooth-shaped gears such as cycloid secondary enveloping meshing pairs and the like.
At present, no feasible processing method for efficiently and precisely processing the continuous tooth shape of the cycloidal double-enveloping internal gear exists, and aiming at the problems existing in the existing processing method, it is necessary to provide a turning cutter and a turning method for processing the modified cycloidal double-enveloping internal gear, so that the machining precision of the internal gear is ensured, and meanwhile, the cycloidal double-enveloping internal gear can be efficiently and massively produced and assembled, and further the application of the cycloidal double-enveloping internal gear is promoted.
Disclosure of Invention
In view of the above, the present invention aims to provide a turning gear machining tool and a method for machining a modified cycloidal double-enveloping internal gear, which realize efficient and high-precision mass production of cycloidal double-enveloping internal gears.
The invention relates to a turning gear machining tool for machining a modified cycloid secondary enveloping internal gear, which comprises a tool body, wherein the tool body is integrally of a bowl-shaped structure, and the tool body comprises an integrally-formed mounting part and a workbench;
the mounting part is used for connecting a machine tool spindle, the mounting part is cylindrical, a key groove used for radial clamping is formed in the top end of the mounting part, the forming direction of the key groove passes through the circle center of the mounting part, a central through hole used for the machine tool spindle to penetrate is formed in the mounting part, and the axis of the central through hole is coincident with the axis of the mounting part;
the workbench is in a frustum shape, the top surface of the frustum shape and the bottom surface of the mounting part are fixed to form a whole, and the workbench is communicated through the central through hole; the axis of the workbench is coincident with the axis of the mounting part, and the cutting teeth are uniformly and continuously distributed on the conical surface of the workbench around the axis of the cutter in a set spiral angle. In this structural design, the cutter body of bowl shape structure is applicable to processing internal gear, the cutter body remains the multidentate processing all the time in the course of working, and no non-machining stroke, machining efficiency is high, and the flexibility ratio is high, when guaranteeing internal gear machining precision, can high efficiency and mass production assembly.
More specifically, the cutting teeth are uniformly and continuously distributed on the conical surface of the workbench in a helical shape around the axis of the mounting part, and the helical angle is set for ensuring that the cutting teeth are continuous on the conical surface of the workbench, and when the internal gear is machined, the axis of the cutter is intersected with the axis of the workpiece of the internal gear, and a certain axial intersection angle exists.
Further, a large cutter rake angle is provided between the cutter blade bottom surface and a plane perpendicular to the central axis of the cutter body; the blade is provided with a tooth top line on the peripheral surface of the blade, and a cutter back angle is arranged between the tooth top line and the central axis of the cutter body; the size of the front angle and the rear angle of the cutter are selected according to the requirements of rough machining or finish machining allowance.
Further, the end face tooth profile of the cutting tooth is a tooth profile obtained by comprehensively modifying a standard cycloidal tooth profile, the corresponding internal gear tooth profile is an optimized tooth profile generated by enveloping the modified tooth profile, and the end face tooth profile modification formula of the cutting tooth is as follows:
wherein: s1= (1+k2-2 kxcosθ) (-1/2);
wherein:
x c : modifying the x coordinate point of the curve parameter equation of the cycloid tooth profile; y is c : modifying a curve parameter equation y coordinate point of the cycloid tooth profile;
R z : the needle teeth are distributed with a circular radius; r is (r) z : needle tooth radius; k: short-range coefficients; e: eccentricity; i: a relative gear ratio; θ: a relative rotation angle;
ΔR z : distance-shifting and shape-modifying amount; Δr z : equidistant shape correction amount; delta: corner shaping amount.
Further, the internal gear tooth profile of the workpiece to be machined is formed by enveloping movement of the shape-modifying cutter body, and the internal gear tooth profile equation is as follows:
wherein:
wherein:
x: secondary enveloping of the x coordinate points of the tooth profile parameter equation of the internal gear; y: secondarily enveloping y coordinate points of the tooth profile parameter equation of the internal gear; alpha 2 : the relative rotation angle of the cycloidal gear in the secondary enveloping movement;
Z b : the number of teeth of the needle; z is Z g : cycloidal gear tooth number;
alpha: cycloidal gear relative rotation angle, beta: the relative rotation angle of the pinwheel is a parameter in one enveloping movement.
The tooth profile of the cutter is a cycloidal tooth profile after comprehensive shaping, the tooth profile of the internal gear is an enveloping tooth profile of the cycloidal gear after comprehensive shaping, and a smaller initial meshing gap can be obtained by adopting shaping combination of negative equidistant and positive displacement, so that the meshing logarithm of the cutter and the internal gear workpiece after shaping is increased, namely, the number of machining teeth is more at the same time, and the efficiency is higher; in the design of the method, when the cycloidal double-enveloping internal gear is put into operation, secondary shaping of the internal gear is not needed, the production efficiency of the internal gear is further improved, the assembly difficulty of the double-enveloping meshing pair is reduced, and the popularization and application of the double-enveloping cycloidal meshing pair are facilitated.
The cutter body adopts a modified cycloid tooth profile, the tooth profile of the internal gear is an optimized tooth profile enveloped by a modified curve, and the tooth profile of the internal gear is a continuous tooth profile. During the cutting process, there is a double-line contact phenomenon. It is worth noting that other gear workpieces with continuous tooth-shaped meshing pairs can be designed and processed according to the design thought of the cutter body.
In the design of the method, the cutter body is a continuous tooth profile, a continuous tooth-shaped workpiece can be processed, and meanwhile, due to the double-line contact phenomenon of the double-line meshing pair, the production efficiency is further improved, and the service life of the cutter is further prolonged. In the cutter with the same condition, the internal gear machined by the cutter body can adopt a middle hard tooth surface or a hard tooth surface design to realize light weight design, and particularly when the middle hard tooth surface is adopted, the precise machining process can be greatly simplified, and the production cost is reduced.
The scheme also discloses an internal gear machining method based on the turning gear machining tool for machining the modified cycloid secondarily enveloped internal gear, wherein the tool body determines an internal gear workpiece to be machined by the following method:
s1, maintaining a constant intersection angle between a cutter body and a workpiece axis, and in any section plane perpendicular to the workpiece axis, performing hobbing motion on the cutter body and the workpiece axis at a set angular speed to gradually generate a secondary enveloping tooth profile tooth form on a blank, wherein the workpiece angular speed omega 2 And tool angular velocity omega 1 Should satisfy
Wherein: z is Z Knife : number of teeth, Z, of cutter body Worker's work : the preset machining tooth number of the workpiece;
(2) Simultaneously with the rolling cutting movement, the cutter body moves along the axis direction of the workpiece at a constant feed rate f a And feeding and processing to obtain the whole tooth width.
The technological process for machining the modified cycloidal internal gear by using the cutter body takes the hard tooth surface gear machining process as an example, and comprises the following steps of:
(1) Rough machining is carried out on the internal gear workpiece, a gear turning process is adopted, the machining allowance is selected according to machining requirements, the feeding amount is selected according to a small amount of multiple times of principle, finish turning is carried out on the internal gear workpiece after rough machining, and the gear turning process is adopted, wherein the feeding amount is small amount of multiple times;
(2) Tempering the workpiece subjected to finish turning, finishing finish machining by adopting a tooth grinding process on a tooth grinding machine, and removing a heat treatment surface layer;
in the design of the method, the cycloid double-enveloping internal gear is machined by the turning process, and continuous turning can be performed on the internal gear by only once clamping the turning tool, so that the internal gear can be machined rapidly.
Compared with the prior art, the invention has the following beneficial effects:
the invention provides a turning gear machining tool and a turning gear machining method for machining a modified cycloid secondarily enveloped internal gear, wherein the internal gear is machined by a cutter body without non-machining travel, the machining efficiency is high, and the consistency of machining precision is high; the modified turning tooth profile reduces the tooth shape error of the internal gear, improves the machining precision, prolongs the service life of the cutter, and does not need to secondarily modify the internal gear; the novel cycloid secondary enveloping meshing pair is a continuous tooth profile, the cutter body can process continuous tooth profile, the internal gear can adopt a hard tooth surface or a medium hard tooth surface design, when the hard tooth surface is adopted, the gear can be designed in a lightweight mode, when the medium hard tooth surface design is adopted, the precise processing technology of the cycloid internal gear can be greatly simplified, and the cost is reduced.
Drawings
FIG. 1 is a schematic view of the overall structure of a tool body according to the present invention;
FIG. 2 is a schematic view of the tooth profile of the tool body after the comprehensive shaping of the present invention;
FIG. 3 is a schematic illustration of the cycloidal quadratic envelope engagement pair of FIG. 2;
FIG. 4 is a schematic view of the tool body of FIG. 1 coupled to a lathe spindle;
fig. 5 is a schematic view of the tool body of fig. 1 machining a cycloidal double-enveloping internal gear.
Reference numerals: 1. the mounting part, 2, the workbench, 3, the key slot, 4, the cutting tooth 5 and the central through hole.
Detailed Description
Other advantages and effects of the present invention will become apparent to those skilled in the art from the following disclosure, which describes the embodiments of the present invention with reference to specific examples. The invention may be practiced or carried out in other embodiments that depart from the specific details, and the details of the present description may be modified or varied from the spirit and scope of the present invention. It should be noted that the illustrations provided in the following embodiments are merely for explaining the basic idea of the present invention, and the following embodiments and features in the embodiments may be combined with each other without conflict.
FIG. 1 is a schematic view of the overall structure of a tool body according to the present invention; FIG. 2 is a schematic view of the tooth profile of the tool body after the comprehensive shaping of the present invention; FIG. 3 is a schematic illustration of the cycloidal quadratic envelope engagement pair of FIG. 2; FIG. 4 is a schematic view of the tool body of FIG. 1 coupled to a lathe spindle; FIG. 5 is a schematic view of the tool body of FIG. 1 machining a cycloidal double-enveloping ring gear; as shown in the figure, the turning gear machining tool for machining the modified cycloid double-enveloping internal gear in the embodiment comprises a tool body, wherein the tool body is integrally of a bowl-shaped structure, and the tool body comprises an integrally-formed mounting part 1 and a workbench 2;
the mounting part 1 is used for connecting a machine tool spindle, the mounting part 1 is cylindrical, a key groove 3 for radial clamping is formed in the top end of the mounting part 1, the opening direction of the key groove 3 passes through the center of the mounting part 1, a central through hole 5 for the machine tool spindle to penetrate is formed in the mounting part 1, and the axis of the central through hole 5 coincides with the axis of the mounting part 1;
the workbench 2 is in a frustum shape, the top surface of the frustum shape and the bottom surface of the mounting part 1 are fixed to form a whole, and the workbench 2 is communicated through the central through hole 5; a key slot 3 for clamping on the mounting part 1 of the cutter body is in butt joint with a boss of a main shaft of the machine tool to finish circumferential positioning; is connected and fixed to the main shaft of the machine tool from bottom to top by a locking bolt from a central through hole 5 below the workbench 2.
The axis of the workbench 2 is coincident with the axis of the mounting part 1, and the cutting teeth 4 are uniformly and continuously distributed on the conical surface of the workbench 2 around the axis of the cutter at a set helix angle. In this structural design, the cutter body of bowl shape structure is applicable to processing internal gear, the cutter body remains the multidentate processing all the time in the course of working, and no non-machining stroke, machining efficiency is high, and the flexibility ratio is high, when guaranteeing internal gear machining precision, can high efficiency and mass production assembly.
More specifically, the cutting teeth 4 are uniformly and continuously distributed on the conical surface of the worktable 2 in a helical angle set around the axis of the mounting part 1, the purpose of the helical angle set is to ensure that the cutting teeth 4 are continuous on the conical surface of the worktable 2, the cutting teeth 4 are made of hard alloy, and when an internal gear is machined, the axis of the cutter is intersected with the axis of the workpiece of the internal gear and a constant intersection angle is maintained.
In this embodiment, a larger cutter rake angle is provided between the bottom surface of the cutting tooth blade and a plane perpendicular to the central axis of the cutter body; the blade is provided with a tooth top line on the peripheral surface of the blade, and a cutter back angle is arranged between the tooth top line and the central axis of the cutter body; the size of the front angle and the rear angle of the cutter are selected according to the requirements of rough machining or finish machining allowance.
In this embodiment, the end face profile modification formula of the cutting tooth is as follows:
wherein: s1= (1+k2-2 kxcosθ) (-1/2);
wherein:
x c : modifying the x coordinate point of the curve parameter equation of the cycloid tooth profile; y is c : modifying a curve parameter equation y coordinate point of the cycloid tooth profile;
R z : the needle teeth are distributed with a circular radius; r is (r) z : needle tooth radius; k: short-range coefficients; e: eccentricity; i: a relative gear ratio; θ: a relative rotation angle;
ΔR z : distance-shifting and shape-modifying amount; Δr z : equidistant shape correction amount; delta: corner shaping amount.
Further, the internal gear tooth profile of the workpiece to be machined is formed by enveloping movement of the shape-modifying cutter body, and the internal gear tooth profile equation is as follows:
wherein:
wherein:
x: secondary enveloping of the x coordinate points of the tooth profile parameter equation of the internal gear; y: secondarily enveloping y coordinate points of the tooth profile parameter equation of the internal gear; alpha 2 : the relative rotation angle of the cycloidal gear in the secondary enveloping movement;
Z b : the number of teeth of the needle; z is Z g : cycloidal gear tooth number;
alpha: cycloidal gear relative rotation angle, beta: the relative rotation angle of the pinwheel is a parameter in one enveloping movement.
The tooth profile of the cutter is a cycloidal tooth profile after comprehensive shaping, the tooth profile of the internal gear is an enveloping tooth profile of the cycloidal gear after comprehensive shaping, and a smaller initial meshing gap can be obtained by adopting shaping combination of negative equidistant and positive displacement, so that the meshing logarithm of the cutter and the internal gear workpiece after shaping is increased, namely, the number of machining teeth is more at the same time, and the efficiency is higher; in the design of the method, when the cycloidal double-enveloping internal gear is put into operation, secondary shaping of the internal gear is not needed, the production efficiency of the internal gear is further improved, the assembly difficulty of the double-enveloping meshing pair is reduced, and the popularization and application of the double-enveloping cycloidal meshing pair are facilitated.
The shape correction mode and the shape correction amount can be selected according to the actual processing requirement, wherein when the bow back tooth shape (positive displacement + negative equidistant) is adopted, the absolute value of the displacement amount is generally larger than that of the equidistant amount, and in addition, the cutter can achieve a proper effect by adopting a smaller shape correction amount, so that error mapping is avoided.
The cutter body adopts a modified cycloid tooth profile, the tooth profile of the internal gear is an optimized tooth profile enveloped by a modified curve, and the tooth profile of the internal gear is a continuous tooth profile. During the cutting process, there is a double-line contact phenomenon. It is worth noting that other gear workpieces with continuous tooth-shaped meshing pairs can be designed and processed according to the design thought of the cutter body.
In the design of the method, the cutter body is a continuous tooth profile, a continuous tooth-shaped workpiece can be processed, and meanwhile, due to the double-line contact phenomenon of the double-line meshing pair, the production efficiency is further improved, and the service life of the cutter is further prolonged. In the cutter with the same condition, the internal gear machined by the cutter body can adopt a middle hard tooth surface or a hard tooth surface design to realize light weight design, and particularly when the middle hard tooth surface is adopted, the precise machining process can be greatly simplified, and the production cost is reduced.
The scheme also discloses an internal gear machining method based on the turning gear machining tool for machining the modified cycloid twice enveloped internal gear, wherein the internal gear workpiece material can be low-carbon alloy steel, carburizing steel, medium-carbon steel and the like, and the workpiece rotates around the axis of the tool body before radial feeding each time, so that after the tool feeds, the cutting groove section enveloped by the cutting edge curve is tangent to the tooth groove of the gear-shaped workpiece;
by using the cutter body to process the cycloid secondarily enveloped internal gear, continuous turning can be performed on the internal gear only by once clamping the turning tool, and rapid processing of the internal gear is realized.
The tool body determines an internal gear workpiece to be machined by:
s1, maintaining a constant intersection angle between a cutter body and a workpiece axis, and in any section plane perpendicular to the workpiece axis, performing hobbing motion on the cutter body and the workpiece axis at a set angular speed to gradually generate a secondary enveloping tooth profile tooth form on a blank, wherein the workpiece angular speed omega 2 And tool angular velocity omega 1 Should satisfy
Wherein: z is Z Knife : number of teeth, Z, of cutter body Worker's work : the preset machining tooth number of the workpiece;
(2) Simultaneously with the rolling cutting movement, the cutter body moves along the axis direction of the workpiece at a constant feed rate f a Feeding to form teethWidth of the material.
The technological process for machining the modified cycloidal internal gear by using the cutter body takes the hard tooth surface gear machining process as an example, and comprises the following steps of:
(1) Rough machining is carried out on the internal gear workpiece, a gear turning process is adopted, machining allowance is selected according to machining requirements, feeding amount is selected according to a small amount of multiple times of principle, finish turning is carried out on the rough machined internal gear workpiece, and the gear turning process is adopted, wherein the feeding amount is small amount of multiple times;
(2) Tempering the workpiece subjected to finish turning, finishing finish machining by adopting a tooth grinding process on a tooth grinding machine, and removing a heat treatment surface layer;
in the design of the method, the cycloid double-enveloping internal gear is machined by the turning process, and continuous turning can be performed on the internal gear by only once clamping the turning tool, so that the internal gear can be machined rapidly. Finally, it is noted that the above embodiments are only for illustrating the technical solution of the present invention and not for limiting the same, and although the present invention has been described in detail with reference to the preferred embodiments, it should be understood by those skilled in the art that modifications and equivalents may be made thereto without departing from the spirit and scope of the technical solution of the present invention, which is intended to be covered by the scope of the claims of the present invention.
Claims (5)
1. A turning gear processing cutter for processing a modified cycloid double-enveloping internal gear, which is characterized in that: the tool comprises a tool body, wherein the tool body comprises an integrally formed mounting part and a workbench;
the mounting part is used for connecting a machine tool spindle, the mounting part is cylindrical, a key groove used for radial clamping is formed in the top end of the mounting part, the forming direction of the key groove passes through the circle center of the mounting part, a central through hole used for the machine tool spindle to penetrate is formed in the mounting part, and the axis of the central through hole is coincident with the axis of the mounting part;
the workbench is in a frustum shape, the top surface of the frustum shape and the bottom surface of the mounting part are fixed to form a whole, the axis of the workbench is coincident with the axis of the mounting part, and cutting teeth are uniformly and continuously distributed on the conical surface of the workbench around the axis of the cutter in a set spiral angle.
2. The turning gear machining tool for machining a modified cycloidal double-enveloping internal gear according to claim 1, characterized in that: the central through hole penetrates through the workbench.
3. The turning gear machining tool for machining a modified cycloidal double-enveloping internal gear according to claim 1, characterized in that: the end face tooth profile modification formula of the cutting tooth is as follows:
wherein: s1= (1+k2-2 kxcosθ) (-1/2);
wherein:
x c : modifying the x coordinate point of the curve parameter equation of the cycloid tooth profile; y is c : modifying a curve parameter equation y coordinate point of the cycloid tooth profile;
R z : the needle teeth are distributed with a circular radius; r is (r) z : needle tooth radius; k: short-range coefficients; e: eccentricity; i: a relative gear ratio; θ: a relative rotation angle;
ΔR z : distance-shifting and shape-modifying amount; Δr z : equidistant shape correction amount; delta: corner shaping amount.
4. The turning gear machining tool for machining a modified cycloidal double-enveloping internal gear according to claim 3, characterized in that: the internal gear tooth profile of the workpiece to be machined is formed by enveloping movement of the shape-modifying cutter body, and the internal gear tooth profile equation is as follows:
wherein:
wherein:
x: secondary enveloping of the x coordinate points of the tooth profile parameter equation of the internal gear; u: secondarily enveloping y coordinate points of the tooth profile parameter equation of the internal gear; alpha 2 : the relative rotation angle of the cycloidal gear in the secondary enveloping movement;
Z b : the number of teeth of the needle; z is Z g : cycloidal gear tooth number;
alpha: cycloidal gear relative rotation angle, beta: the relative rotation angle of the pinwheel is a parameter in one enveloping movement.
5. An internal gear machining method based on the turning gear machining tool for machining a modified cycloidal double-enveloping internal gear according to any one of claims 1 to 4, characterized in that:
the tool body determines an internal gear workpiece to be machined by:
s1, maintaining a constant intersection angle between a cutter body and a workpiece axis, and in any section plane perpendicular to the workpiece axis, performing hobbing motion on the cutter body and the workpiece axis at a set angular speed to gradually generate a secondary enveloping tooth profile tooth form on a blank, wherein the workpiece angular speed omega 2 And tool angular velocity omega 1 Should satisfy
Wherein: z is Z Knife : number of teeth, Z, of cutter body Worker's work : the preset machining tooth number of the workpiece;
(2) Simultaneously with the rolling cutting movement, the cutter body moves along the axis direction of the workpiece at a constant feed rate f a And feeding and processing to obtain the whole tooth width.
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| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202311859300.0A CN117680770A (en) | 2023-12-30 | 2023-12-30 | Turning gear machining tool and method for machining modified cycloid secondary enveloping internal gear |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202311859300.0A CN117680770A (en) | 2023-12-30 | 2023-12-30 | Turning gear machining tool and method for machining modified cycloid secondary enveloping internal gear |
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| Publication Number | Publication Date |
|---|---|
| CN117680770A true CN117680770A (en) | 2024-03-12 |
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| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN202311859300.0A Pending CN117680770A (en) | 2023-12-30 | 2023-12-30 | Turning gear machining tool and method for machining modified cycloid secondary enveloping internal gear |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN117680770A (en) |
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- 2023-12-30 CN CN202311859300.0A patent/CN117680770A/en active Pending
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