Flexible machining system and machining method for involute enveloping annular face worm gear surface
By utilizing a flexible machining system and the coordinated motion of sprockets and chain cutters to form an involute envelope surface, the problems of low efficiency and insufficient precision in worm gear machining are solved, achieving precision machining and high-efficiency production.
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- CHONGQING UNIV
- Filing Date
- 2023-12-14
- Publication Date
- 2026-07-21
AI Technical Summary
Existing methods for machining involute envelope toroidal worm gears suffer from low machining efficiency and insufficient precision.
A flexible machining system is adopted, including a mounting base, sprockets, and chain-type machining tools. By controlling the rotation of the sprockets and the movement of the cutting tools, an involute envelope surface is formed to achieve precision machining.
This improved the machining accuracy and efficiency of the worm gear, reduced machining costs, enabled one-time molding, and enhanced the performance of the worm gear.
Smart Images

Figure CN117655426B_ABST
Abstract
Description
Technical Field
[0001] This invention relates to a worm gear machining system and method, and more particularly to a flexible machining system and method for the involute envelope toroidal worm gear tooth surface. Background Technology
[0002] Involute envelope toroidal worms, also known as TI worms, feature multiple tooth pairs in simultaneous contact, high load-bearing capacity, good lubrication, and simple worm wheel machining. However, worm machining is relatively complex, and machining accuracy needs improvement. Existing machining methods for TI worms mainly involve rough machining via milling or turning, followed by finish machining with grinding wheels. However, these methods suffer from low machining efficiency and insufficient machining accuracy.
[0003] Therefore, in order to solve the above-mentioned technical problems, a new technical approach needs to be proposed. Summary of the Invention
[0004] In view of this, the purpose of this invention is to provide a flexible machining system and method for the tooth surface of an involute envelope toroidal worm gear, which can realize the precision machining of the envelope toroidal worm gear and effectively improve machining efficiency and machining accuracy.
[0005] The present invention provides a flexible machining system for the tooth surface of an involute envelope toroidal worm gear, comprising a mounting base, a first sprocket, a second sprocket, a third sprocket, and a chain-type machining tool;
[0006] The first sprocket, the second sprocket, and the third sprocket are all mounted on the mounting base and each sprocket can rotate around its own axis; the axis of the first sprocket is parallel to the axis of the second sprocket, and the angle between the axis of the second sprocket and the axis of the third sprocket is θ.
[0007] The chain-type machining tool is tensioned on three sprockets and drives the chain-type tool to move when the three sprockets rotate.
[0008] Furthermore, the included angle θ is determined as follows:
[0009] Where: d1 is the throat diameter of the toroidal worm gear to be machined, p is the helical parameter, and:
[0010] p = i × m n Z1 / 2sinβ, where i is the transmission ratio of the toroidal worm gear to be processed, m n Z1 is the module of the toroidal worm gear to be processed, Z2 is the number of threads of the toroidal worm gear to be processed, and β is the helix angle of the toroidal worm gear to be processed.
[0011] Furthermore, the chain-type machining tool includes a plurality of blades;
[0012] The blade has an integrally formed cutting edge and mounting part;
[0013] The cutting edge has a wedge-shaped structure;
[0014] The mounting part is provided with a hinge ball and a hinge groove, which are respectively located on the left and right sides of the mounting part. The hinge ball is embedded in the hinge groove of the adjacent blade to form a ball hinge structure. The lower end of the mounting part forms a meshing tooth, and the cutting edge is the involute tooth of the toroidal worm gear to be machined.
[0015] Furthermore, the mounting base is an isosceles triangle structure, with the first sprocket located at the vertex of the mounting base, and the second and third sprockets located at the two vertices of the bottom of the mounting base, respectively. The side of the mounting base is recessed to form a mounting groove, and the blade mounting part is located in the mounting groove. The blade located between the second and third sprockets processes the toroidal worm gear to be processed.
[0016] Accordingly, the present invention also provides a method for flexible machining of the involute envelope toroidal worm gear tooth surface based on the above-mentioned flexible machining system, comprising the following steps:
[0017] S1. Using any one of the first sprocket, second sprocket, and third sprocket as the driving sprocket, control the rotation of the driving sprocket to obtain the motion trajectory of any blade from the axis position of the second sprocket to the axis position of the third sprocket;
[0018] S2. Construct an equivalent helical gear, the tooth surface of which is composed of the motion trajectory of the blade profile from the axis position of the second sprocket to the axis position of the third sprocket;
[0019] S3. Determine the intermediate plane when the equivalent helical gear meshes with the toroidal worm to be processed. Determine a plane perpendicular to the intermediate plane and passing through the axis of the toroidal worm to be processed. Translate this plane toward the axis of the equivalent helical gear. The translation distance is the center distance between the toroidal worm to be processed and the equivalent helical gear. The intersection line between this translated plane and the axial section of the throat of the toroidal worm to be processed is used as the rotation axis of the flexible machining system.
[0020] S4. Control the toroidal worm gear to be machined to rotate around its own axis at an angular velocity ω. w The blade is rotated, and the flexible machining system is controlled to rotate around its own axis at an angular velocity ω1, thereby machining the toroidal worm gear to be machined.
[0021] Furthermore, the angular velocity ω w It has the following relationship with angular velocity ω1:
[0022] ω w = i·ω1; where i is the transmission ratio of the toroidal worm gear to be processed.
[0023] The beneficial effects of this invention are: it can control the movement trajectory of the cutting tool to form an involute envelope surface according to the processing requirements, which can realize the precision machining of toroidal worm gears in principle, improve the machining accuracy of toroidal worm gears, and the machining is a one-time forming process, which can greatly improve the machining efficiency and reduce the machining cost. By controlling the transmission ratio during the machining process, the tooth surface of the toroidal worm gear can be modified to improve the performance of the toroidal worm gear to be machined. Attached Figure Description
[0024] The present invention will be further described below with reference to the accompanying drawings and embodiments:
[0025] Figure 1 This is a schematic diagram of the flexible processing system structure of the present invention.
[0026] Figure 2 This is a schematic diagram of the mounting base structure of the present invention.
[0027] Figure 3 This is a schematic diagram of the meshing between a chain machining tool and a sprocket.
[0028] Figure 4 This is a schematic diagram of the blade structure.
[0029] Figure 5 for Figure 4 A schematic diagram of the cross-sectional structure of the blade.
[0030] Figure 6 This is a schematic diagram of the connection structure between adjacent blades.
[0031] Figure 7 This is a schematic diagram of the meshing between the cutting blade and the enveloping toroidal worm gear. Detailed Implementation
[0032] The present invention will be further described in detail below:
[0033] The present invention provides a flexible machining system for the tooth surface of an involute envelope toroidal worm gear, comprising a mounting base 3, a first sprocket 5, a second sprocket 2, a third sprocket 6, and a chain-type machining tool 4;
[0034] The first sprocket 5, the second sprocket 2, and the third sprocket 6 are all mounted on the mounting base 3 and each sprocket can rotate around its own axis; the axis of the first sprocket 5 is parallel to the axis of the second sprocket 2, and the angle between the axis of the second sprocket 2 and the axis of the third sprocket 6 is θ.
[0035] The chain-type machining tool 4 is tensioned on three sprockets and drives the chain-type tool to move when the three sprockets rotate. Through the above structure, precision machining of the enveloping toroidal worm gear can be achieved, which can effectively improve machining efficiency and machining accuracy.
[0036] In this embodiment, the included angle θ is determined as follows:
[0037] Where: d1 is the throat diameter of the toroidal worm gear to be machined, p is the helical parameter, and:
[0038] p = i × m n Z1 / 2sinβ, where i is the transmission ratio of the toroidal worm gear to be processed, m n Z1 represents the module of the toroidal worm gear to be machined, Z2 represents the number of threads of the toroidal worm gear to be machined, and β represents the helix angle of the toroidal worm gear to be machined. Through this structure, the entire machining system is flexible. During the machining process, the movement trajectory of the cutting tool between the second and third sprockets remains consistent with the tooth surface of the equivalent helical gear. It can control the movement trajectory of the cutting tool to form an involute envelope surface according to the machining requirements. It can realize the precision machining of the toroidal worm gear in principle, improve the machining accuracy of the toroidal worm gear, and the machining is a one-time process, which can greatly improve the machining efficiency and reduce the machining cost. By controlling the transmission ratio during the machining process, the tooth surface of the toroidal worm gear can be modified to improve the performance of the toroidal worm gear to be machined.
[0039] In this embodiment, the chain machining tool includes a plurality of blades;
[0040] The blade 8 has an integrally formed cutting edge portion 81 and a mounting portion 82;
[0041] The cutting edge 81 has a wedge-shaped structure;
[0042] The mounting part 82 is provided with a hinge ball 84 and a hinge groove 83, which are respectively located on the left and right sides of the mounting part 82. The hinge ball is embedded in the hinge groove of the adjacent blade to form a ball hinge structure. The lower end of the mounting part forms a meshing tooth 85. The cutting edge 81 is the involute tooth of the toroidal worm gear to be machined. Through this structure, the entire machining system is flexible. During the machining process, the movement trajectory of the tool between the second sprocket and the third sprocket is consistent with the helical surface of the equivalent helical gear, thereby improving the machining accuracy. The structure and parameters of the enveloping toroidal worm gear to be machined are determined. Therefore, the related parameters and structure, as well as the parameters of the enveloping toroidal worm gear to be machined, can be determined.
[0043] In this embodiment, the mounting base 3 is an isosceles triangle structure. The first sprocket 5 is located at one vertex of the mounting base, and the second sprocket 2 and the third sprocket 6 are located at the two vertices of the bottom of the mounting base 3, respectively. The side of the mounting base is recessed to form a mounting groove 7 (here, the side refers to the side at the edge of the mounting base, not the two sides shown in the figure). The blade mounting part is located in the mounting groove, and the blade located between the second sprocket and the third sprocket processes the toroidal worm gear to be machined. This structure can improve the stability of the blade's movement, thereby ensuring the stability of its final movement trajectory and improving machining accuracy. The up / down and left / right directions mentioned above are all referenced to the up / down and left / right directions shown in the figure.
[0044] Accordingly, the present invention also provides a method for flexible machining of the involute envelope toroidal worm gear tooth surface based on the above-mentioned flexible machining system, comprising the following steps:
[0045] S1. Using any one of the first sprocket, second sprocket, and third sprocket as the driving sprocket, control the rotation of the driving sprocket to obtain the motion trajectory of any blade from the axis position of the second sprocket to the axis position of the third sprocket;
[0046] S2. Construct an equivalent helical gear. The tooth surface of this equivalent helical gear is composed of the motion trajectory of the blade profile from the axis position of the second sprocket to the axis position of the third sprocket. The process of determining the tooth surface from the trajectory line adopts existing methods and will not be elaborated here. When constructing the equivalent helical gear, it is also necessary to determine the pitch circle radius of the equivalent helical gear, which is calculated as follows:
[0047] r = m n Z2 / 2cosβ, where m n Z1 is the normal module of the equivalent helical gear, and Z2 is the number of teeth of the equivalent helical gear. This number of teeth is determined by the transmission ratio of the toroidal worm gear to be processed: i = Z2 / Z1, where Z1 is the number of threads of the toroidal worm gear to be processed, and β is the helix angle of the toroidal worm gear to be processed.
[0048] S3. Determine the intermediate plane when the equivalent helical gear meshes with the toroidal worm to be processed. Determine a plane perpendicular to the intermediate plane and passing through the axis of the toroidal worm to be processed. Translate this plane toward the axis of the equivalent helical gear by a distance equal to the center distance between the toroidal worm to be processed and the equivalent helical gear. The intersection line between this translated plane and the axial section of the throat of the toroidal worm to be processed serves as the rotation axis of the flexible machining system. The rotation of the entire flexible machining system around the rotation axis is achieved through existing structures.
[0049] S4. Control the toroidal worm gear to be machined to rotate around its own axis at an angular velocity ω. w The blade is rotated, and the flexible machining system is controlled to rotate around its own axis at an angular velocity ω1, thereby machining the toroidal worm gear to be machined.
[0050] Wherein: the angular velocity ω w It has the following relationship with angular velocity ω1:
[0051] ω w =i·ω1; where i is the transmission ratio of the toroidal worm gear to be processed. The above method can effectively ensure the processing accuracy and efficiency of the enveloping toroidal worm gear.
[0052] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention and are not intended to limit it. Although the present invention has been described in detail with reference to preferred embodiments, those skilled in the art should understand that modifications or equivalent substitutions can be made to the technical solutions of the present invention without departing from the spirit and scope of the technical solutions of the present invention, and all such modifications or substitutions should be covered within the scope of the claims of the present invention.
Claims
1. A flexible machining system for the involute envelope toroidal worm gear tooth surface, characterized in that: Includes a mounting base, a first sprocket, a second sprocket, a third sprocket, and a chain-type machining tool; The first, second, and third sprockets are all mounted on the mounting base, and each sprocket can rotate around its own axis; the axis of the first sprocket is parallel to the axis of the second sprocket, and the angle between the axes of the second and third sprockets is [missing information]. ; The included angle The following is confirmed: ;in: The throat diameter of the toroidal worm gear to be machined is given. Let be the helical parameter, and: ,in, The transmission ratio of the toroidal worm gear to be machined is given. Let be the module of the toroidal worm gear to be machined. This represents the number of threads in the toroidal worm gear to be machined. The helix angle of the toroidal worm gear to be machined; The chain-type machining tool is tensioned on three sprockets and drives the chain-type tool to move when the three sprockets rotate; The chain-type machining tool includes several blades; The blade has an integrally formed cutting edge and mounting part; The cutting edge has a wedge-shaped structure; The mounting part is provided with a hinge ball and a hinge groove, which are respectively located on the left and right sides of the mounting part. The hinge ball is embedded in the hinge groove of the adjacent blade to form a ball hinge structure. The lower end of the mounting part forms a meshing tooth, and the cutting edge is the involute tooth of the toroidal worm gear to be processed. The mounting base is an isosceles triangle structure. The first sprocket is located at the vertex of the mounting base, and the second and third sprockets are located at the two vertices of the bottom of the mounting base, respectively. The side of the mounting base is recessed to form a mounting groove, and the blade mounting part is located in the mounting groove. The blade located between the second and third sprockets processes the toroidal worm gear to be processed.
2. A method for flexible machining of the involute envelope toroidal worm gear tooth surface based on the flexible machining system of claim 1, characterized in that: Includes the following steps: S1. Using any one of the first sprocket, second sprocket, and third sprocket as the driving sprocket, control the rotation of the driving sprocket to obtain the motion trajectory of any blade from the axis position of the second sprocket to the axis position of the third sprocket; S2. Construct an equivalent helical gear, the tooth surface of which is composed of the motion trajectory of the blade profile from the axis position of the second sprocket to the axis position of the third sprocket; S3. Determine the intermediate plane when the equivalent helical gear meshes with the toroidal worm to be processed. Determine a plane perpendicular to the intermediate plane and passing through the axis of the toroidal worm to be processed. Translate this plane toward the axis of the equivalent helical gear. The translation distance is the center distance between the toroidal worm to be processed and the equivalent helical gear. The intersection line between this translated plane and the axial section of the throat of the toroidal worm to be processed is used as the rotation axis of the flexible machining system. S4. Control the toroidal worm gear to be machined to rotate around its own axis at an angular velocity... Rotation, while controlling the movement of the cutting tool and controlling the flexible machining system around its own rotation axis at an angular velocity. The worm gear is rotated to be machined.
3. The method for flexible machining of the involute envelope toroidal worm gear tooth surface according to claim 2, characterized in that: The angular velocity With angular velocity It has the following relationship: ;in, The transmission ratio of the toroidal worm gear to be machined is given.