Machining method of large-length-diameter-ratio internal thread parallel axis grinding wheel

By using the processing method of grinding the grinding wheel with a large length-diameter ratio parallel shaft in the reverse planetary roller screw, the problem of difficulty in processing the large length-diameter ratio of the internal thread is solved, and efficient and accurate processing effect is achieved, which is suitable for mass production.

CN120095243APending Publication Date: 2025-06-06CHONGQING UNIV
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Patent Information

Application Number
CN202510108679.4
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2025-01-23
Publication Date
2025-06-06

AI Technical Summary

Technical Problem

It is difficult to efficiently process large-length-diameter internal threads, especially in reverse planetary roller screws. The conventional inclined shaft grinding method cannot achieve thread accuracy and surface quality requirements due to the interference of the grinding rod and the inner cavity of the nut and the low stiffness of the fine grinding rod, and there is a geometric machining limit for the nut length-diameter ratio.

Method used

The machining method of grinding the grinding wheel is adopted for parallel shafts of the internal thread with large length-to-diameter ratio. By determining the basic parameters of the thread to be processed and the installation distance of the grinding wheel, the spiral curved surface equation and the meshing equation are established, the working profile of the grinding wheel shaft cross-section is iteratively calculated, the special-shaped grinding wheel is designed, and the process parameters of the grinding processing are determined based on the special-shaped grinding wheel.

Benefits of technology

Under the machining capacity of existing machine tools, the problem of spiral lifting angle limitations caused by grinding parallel shafts of large-length-diameter internal threads is solved, and efficient processing of large-length-diameter internal threads is achieved, which is suitable for batch processing, improving manufacturing accuracy and service performance.

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Abstract

The invention provides a machining method for a large-length-diameter-ratio internal thread parallel shaft grinding wheel, and relates to the technical field of reverse planetary roller lead screw pair machining. Comprising the following steps: determining basic parameters and a grinding wheel mounting distance of a to-be-processed large-length-diameter-ratio internal thread; according to the basic parameters and the grinding wheel installation distance, a spiral curved surface equation and a meshing equation of the large-length-diameter-ratio internal thread are established; according to the spiral curved surface equation and the meshing equation, iteratively calculating to-be-machined large-length-diameter-ratio internal thread left and right grinding wheel shaft section working profiles; according to the working profiles of the cross sections of a left grinding wheel shaft and a right grinding wheel shaft of the to-be-machined large-length-diameter-ratio internal thread, the to-be-machined large-length-diameter-ratio internal thread parallel shaft grinding special-shaped grinding wheel is determined; according to the special-shaped grinding wheel, process parameters of grinding machining of the to-be-machined large-length-diameter-ratio internal thread are determined; and parallel axis grinding machining is conducted on the to-be-machined internal thread with the large length-diameter ratio according to the technological parameters. According to the method, the problem of parameter limitation still existing in a reverse planetary roller screw parallel shaft grinding machining scheme at the present stage is solved.
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Description

Technical Field

[0001] The invention relates to the technical field of reverse planetary roller screw pair processing, in particular to a processing method of a large aspect ratio internal thread parallel axis grinding wheel. Background Art

[0002] The reverse planetary roller screw is a transmission component that realizes the conversion between linear motion and rotational motion. Figure 1 As shown, it is mainly composed of screw 1, nut 2, roller 3, cage 4 and other parts. Load distribution is achieved by numerous threaded engagement points. It has the advantages of high load, high precision, high rigidity, impact resistance, long life, etc. It has been widely used in aerospace, weapon equipment, medical equipment and other fields. With the rapid development of mechatronics of mechanical equipment, the application of planetary roller screw pairs will be further expanded and has broad application prospects.

[0003] Screws and rollers are both external threads. The precision and quality requirements can be achieved through process optimization by using mature tilt axis grinding methods. However, the internal threads of the reverse planetary roller screw nut have the characteristics of large aspect ratio, high precision and high hardness. The conventional tilt axis nut forming grinding method cannot achieve the thread accuracy and surface quality requirements due to the interference between the grinding rod and the inner cavity of the nut and the low stiffness of the fine grinding rod. In addition, there is a geometric processing limit to the aspect ratio of the nut (generally, it is difficult to process when the aspect ratio is greater than 6:1). In order to solve the bottleneck problems of interference and low precision in tilt axis grinding of internal threads with large aspect ratios, a processing method of parallel axis grinding of internal threads with large aspect ratios and high precision is proposed. The general form of parallel ground internal threads is as follows: Figure 2 As shown, when parallel axis grinding of the internal thread surface is performed, the axis of the conventional parallel grinding wheel grinding rod 6 is parallel to the axis of the nut 5 to be processed, there is an eccentricity between the axis of the grinding wheel and the axis of the workpiece, and geometrically the aspect ratio of the internal thread can be infinite. The grinding wheel grinding rod can be made thicker and harder, which solves the problems of geometric limitations of conventional inclined axis grinding and insufficient rigidity and low processing efficiency of elbow grinding rods.

[0004] Ideally, the normal section of the internal thread helical surface to be processed is composed of two vertical line segments, forming a right angle at the junction of the two line segments, such as Figure 3 The axial section ABC of the workpiece shown is composed of two line segments AB and BC, with a turning point B. However, in the actual processing, Figure 4 The theoretical calculation of the grinding wheel section shows that there is a phenomenon of cross-contour lines at the top of the grinding wheel, and there is a transition curve k at the vertex after the grinding wheel is formed. 1 k 2 , it cannot form the sharp point shown at point B in the figure. After the parts processed by this grinding wheel are formed, a corresponding transition surface will be generated on the thread surface of the parts.

[0005] According to the geometric envelope principle, the thread transition surface produced by the internal thread parallel grinding process is inevitable. Figure 4 As shown in the figure, the contact line between the helical surface I and the tool is ab, and the corresponding theoretical tool section is ii'. Similarly, the contact line between the helical surface II and the tool is b'c, and the corresponding tool section is jj'. b and b' are at different positions on the helical line at point B, and the theoretical tool sections ii' and jj' intersect at point k. In actual tool shaping, only the blade shapes ik and kj' can be trimmed, while the two blade shapes jk and ki' are missing, resulting in Bk on the workpiece. 1 and Bk 2 The two sections cannot be processed. The helix angle of the internal thread to be processed will affect the range of the thread transition surface under the parallel grinding process. Therefore, the internal thread helix angle that can be processed by the internal thread parallel grinding processing module on the most advanced grinding machines abroad is also limited. Generally, the internal thread helix angle processed cannot exceed about 4°. This makes the parallel axis grinding process for internal threads with large aspect ratios still limited. Summary of the invention

[0006] In order to overcome the shortcomings of the prior art, the purpose of the present invention is to provide a processing method for a large aspect ratio internal thread parallel axis grinding wheel, which solves the parameter limitation problem that still exists in the current reverse planetary roller screw parallel axis grinding processing scheme.

[0007] To achieve the above object, the present invention provides the following solutions:

[0008] A method for processing a large aspect ratio internal thread parallel axis grinding wheel, comprising:

[0009] Determine the basic parameters of the internal thread with a large aspect ratio to be processed and determine the grinding wheel installation distance according to the basic parameters;

[0010] Establishing the spiral surface equation and meshing equation of the internal thread with large aspect ratio according to the basic parameters and the grinding wheel installation distance;

[0011] Iteratively calculate the working profiles of the left and right grinding wheel shaft sections of the large aspect ratio internal thread to be processed according to the spiral surface equation and the meshing equation;

[0012] Determine the special-shaped grinding wheel for parallel-axis grinding of the large-length-diameter-ratio internal thread to be processed according to the working profiles of the left and right grinding wheel shaft sections of the large-length-diameter-ratio internal thread to be processed;

[0013] Determining the process parameters of the large aspect ratio internal thread grinding process to be processed according to the special-shaped grinding wheel;

[0014] The large aspect ratio internal thread to be processed is subjected to parallel axis grinding according to the process parameters.

[0015] Preferably, the basic parameters of the large aspect ratio internal thread to be processed include:

[0016] The major diameter, medium diameter, minor diameter, thread angle, thread lead angle, pitch, number of starts, thread length, and outer diameter of the nut of the internal thread.

[0017] Preferably, the method for determining the grinding wheel installation distance is:

[0018] Grinding wheel estimated diameter selection grinding wheel installation distance

[0019] Preferably, the helical surface equation and meshing equation are respectively:

[0020]

[0021] Among them, x W ,y W 、z W are the coordinates of the internal thread helical surface points on the x, y, and z axes respectively; r W is the radial distance of the internal thread helical surface point, θ W is the rotation angle of the internal thread helical surface point; and are the rotation speeds of the internal thread workpiece and the grinding wheel respectively; r W is the radial distance of the point on the internal thread to be processed; r G is the radial distance of the point on the internal thread to be processed; p is the pitch of the internal thread to be processed; n M v is the common normal vector of the internal thread workpiece and the grinding wheel; WG is the relative linear velocity of the contact point between the internal thread workpiece and the grinding wheel; It represents the coordinate value of the center point of the grinding wheel on the x-axis in the internal thread rotating surface coordinate system; e is the grinding wheel installation distance; the “±” sign represents the rotation direction of the internal thread to be processed, the “+” sign is used when processing right-handed threads, and the “-” sign is used when processing left-handed threads.

[0022] Preferably, the iterative calculation of the working profiles of the left and right grinding wheel shaft sections of the large aspect ratio internal thread to be processed according to the spiral surface equation and the meshing equation comprises:

[0023] Determine the radial distance and the rotation angle according to the spiral surface equation and the meshing equation;

[0024] Determine the coordinate value of the spiral surface of the large aspect ratio internal thread on the grinding wheel coordinate system according to the radial distance and the rotation angle;

[0025] According to the coordinate values, the working profile of the left-threaded grinding wheel shaft section and the working profile of the right-threaded grinding wheel shaft section are projected onto the axial projection surface of the grinding wheel to obtain.

[0026] Preferably, the method of determining the special-shaped grinding wheel for parallel axis grinding of the large aspect ratio internal thread to be processed according to the working profiles of the left and right grinding wheel shaft sections of the large aspect ratio internal thread to be processed comprises:

[0027] Rotating the working profile of the left grinding wheel shaft cross section to determine the left thread processing surface;

[0028] Rotate the working profile of the right grinding wheel shaft cross section to determine the right thread processing surface;

[0029] Determine the height value of the anti-interference cylindrical surface according to the pitch of the internal thread to be processed and the interference height values ​​of the working profile of the left-threaded grinding wheel shaft section and the working profile of the right-threaded grinding wheel shaft section in the general parallel grinding profile design;

[0030] Determine the anti-interference cylindrical surface according to the height value of the anti-interference cylindrical surface;

[0031] The special-shaped grinding wheel is determined according to the anti-interference cylindrical surface, the right thread processing surface and the left thread processing surface.

[0032] Preferably, the process parameters include:

[0033] Grinding wheel speed, workpiece speed and axial movement speed.

[0034] Preferably, the process parameters for grinding the internal thread with a large aspect ratio to be processed are determined according to the special-shaped grinding wheel, including:

[0035] The present invention discloses the following technical effects:

[0036] The present invention can directly solve the problem of helix angle limitation in parallel axis grinding of large aspect ratio internal threads under the processing capacity of existing machine tools, and can efficiently process large aspect ratio internal threads at a relatively low cost and technical difficulty, and is suitable for batch processing. In addition, the nuts processed using the technical solution of the present invention can effectively avoid the excessive surface problem caused by the parallel grinding process, increase its manufacturing accuracy, and improve the performance of the reverse planetary roller screw. On the basis of breaking through the length limitation of the internal thread, the helix angle limitation of the parallel grinding of the internal thread can be broken through, and the technical solution has the advantages of low cost, high feasibility, and high efficiency. BRIEF DESCRIPTION OF THE DRAWINGS

[0037] In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings required for use in the embodiments will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying creative labor.

[0038] Figure 1A schematic diagram of the structure of a reverse planetary roller screw provided as the background technology of the present invention;

[0039] Figure 2 A schematic front view of parallel shaft grinding of internal threads with large aspect ratio provided as the background technology of the present invention;

[0040] Figure 3 A schematic diagram of a normal truncated transition surface of an internal thread provided as the background technology of the invention;

[0041] Figure 4 A schematic diagram of the principle of forming the internal thread transition surface provided as the background technology of the invention;

[0042] Figure 5 A schematic diagram of the working profile of a grinding wheel shaft cross section calculated by an envelope model provided in a specific embodiment of the present invention;

[0043] Figure 6 A schematic diagram of a design of a special-shaped grinding wheel for grinding a parallel shaft with an internal thread with a large aspect ratio provided by a specific embodiment of the present invention;

[0044] Figure 7 Schematic diagram of parallel axis grinding of internal threads with large aspect ratio using a special-shaped grinding wheel that is not limited by the helix angle provided by a specific embodiment of the present invention;

[0045] Figure 8 A schematic diagram of machining an internal thread with a large aspect ratio provided in a specific embodiment of the present invention.

[0046] Explanation of the reference numerals: 1. screw; 2. nut; 3. roller; 4. cage; 5. nut to be processed; 6. conventional parallel grinding wheel grinding rod; 7. left thread processing surface; 8. anti-interference cylindrical surface; 9. right thread processing surface; 10. special-shaped parallel grinding wheel grinding rod. DETAILED DESCRIPTION

[0047] The following will be combined with the drawings in the embodiments of the present invention to clearly and completely describe the technical solutions in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.

[0048] In order to make the above-mentioned objects, features and advantages of the present invention more obvious and easy to understand, the present invention is further described in detail below with reference to the accompanying drawings and specific embodiments.

[0049] like Figure 5 As shown, the present invention provides a method for processing a large aspect ratio internal thread parallel axis grinding wheel, comprising:

[0050] Step 100: determining basic parameters of the internal thread with a large aspect ratio to be processed and determining the grinding wheel installation distance according to the basic parameters;

[0051] Step 200: establishing a helical surface equation and a meshing equation of an internal thread with a large aspect ratio according to the basic parameters and the grinding wheel installation distance;

[0052] Step 300: Iteratively calculating the working profiles of the left and right grinding wheel shaft sections of the internal thread with a large aspect ratio to be processed according to the spiral surface equation and the meshing equation;

[0053] Step 400: determining a special-shaped grinding wheel for parallel-axis grinding of the large-length-diameter-ratio internal thread to be processed according to the working profiles of the left and right grinding wheel shaft sections of the large-length-diameter-ratio internal thread to be processed;

[0054] Step 500: determining the process parameters of the grinding process of the internal thread with a large aspect ratio to be processed according to the special-shaped grinding wheel;

[0055] Step 600: performing parallel axis grinding on the internal thread with a large aspect ratio to be processed according to the process parameters.

[0056] Specifically, another method of this embodiment is expressed in detail as follows:

[0057] Step 1, determine the basic parameters of the large aspect ratio internal thread to be processed and the installation distance of the parallel axis grinding wheel;

[0058] Step 2, establishing a spiral surface equation and a meshing equation of the internal thread with a large aspect ratio according to the basic parameters of the internal thread with a large aspect ratio determined in step 1 and the grinding wheel installation distance;

[0059] Step 3, iteratively calculating the left and right grinding wheel shaft cross-section working profiles required for grinding the left and right threads with a large aspect ratio internal thread parallel axis according to the spiral surface equation and the meshing equation established in step 2;

[0060] Step 4, determine the design of the special-shaped grinding wheel for parallel axis grinding of internal threads with large aspect ratio and the process parameters of the grinding process;

[0061] Step 5: Perform parallel axis grinding on the large aspect ratio internal thread by using the machine tool according to the process parameters determined in step 4.

[0062] Furthermore, the basic parameters of the large aspect ratio internal thread to be processed include:

[0063] The major diameter, medium diameter, minor diameter, thread angle, thread lead angle, pitch, number of starts, thread length, and outer diameter of the nut of the internal thread.

[0064] Furthermore, the method for determining the grinding wheel installation distance is:

[0065] The estimated diameter of the grinding wheel is selected according to the grinding wheel installation distance. The diameter of the conventional internal thread grinding wheel is 0.7 times the middle diameter of the internal thread to be processed. The grinding wheel installation distance is recommended to be 0.15 times the middle diameter of the internal thread to be processed.

[0066] Furthermore, the spiral surface equation and meshing equation are respectively:

[0067]

[0068] Among them, x W ,y W 、z W are the coordinates of the internal thread helical surface points on the x, y, and z axes respectively; r W is the radial distance of the internal thread helical surface point, θ W is the rotation angle of the internal thread helical surface point; and are the rotation speeds of the internal thread workpiece and the grinding wheel respectively; r W is the radial distance of the point on the internal thread to be processed; r G is the radial distance of the point on the internal thread to be processed; p is the pitch of the internal thread to be processed; n M v is the common normal vector of the internal thread workpiece and the grinding wheel; WG is the relative linear velocity of the contact point between the internal thread workpiece and the grinding wheel; It represents the coordinate value of the center point of the grinding wheel on the x-axis in the internal thread rotating surface coordinate system; e is the grinding wheel installation distance; the “±” sign represents the rotation direction of the internal thread to be processed, the “+” sign is used when processing right-handed threads, and the “-” sign is used when processing left-handed threads.

[0069] Furthermore, the iterative calculation of the working profiles of the left and right grinding wheel shaft sections of the large aspect ratio internal thread to be processed according to the spiral surface equation and the meshing equation includes:

[0070] Determine the radial distance and the rotation angle according to the spiral surface equation and the meshing equation;

[0071] Determine the coordinate value of the helical surface of the large aspect ratio internal thread on the coordinate system according to the radial distance and the rotation angle;

[0072] According to the coordinate values, the working profile of the left-threaded grinding wheel shaft section and the working profile of the right-threaded grinding wheel shaft section are projected onto the axial projection surface of the grinding wheel to obtain.

[0073] Specifically, when the working profiles of the left and right grinding wheel shaft sections are iteratively calculated by the spiral surface equation and the meshing equation established in step 2, the radial distance r of the spiral surface in the spiral surface equation and the meshing equation in step 2 is W Starting from the inner thread diameter, it gradually increases. WThe corresponding rotation angle θ of the internal thread helical surface point can be obtained under W ; When the radial distance r of the inner helical surface W When the major diameter of the internal thread to be processed is reached, the radial distance r W Stop increasing and set a series of radial distances r W and the rotation angle θ W The values ​​are recorded; a series of radial distances r W and the rotation angle θ W Calculate a series of x values W ,y W 、z W value, and convert a series of x W ,y W 、z W The value is converted and projected onto the axial projection surface of the grinding wheel, such as Figure 6 As shown, the working profile of the left-threaded grinding wheel shaft section and the right-threaded grinding wheel shaft section that conform to the envelope model are obtained.

[0074] Furthermore, the method of determining the special-shaped grinding wheel for parallel axis grinding of the large aspect ratio internal thread to be processed according to the working profiles of the left and right grinding wheel shaft sections of the large aspect ratio internal thread to be processed comprises:

[0075] Rotating the working profile of the left grinding wheel shaft cross section to determine the left thread processing surface;

[0076] Rotate the working profile of the right grinding wheel shaft cross section to determine the right thread processing surface;

[0077] Determine the height value of the anti-interference cylindrical surface according to the pitch of the internal thread to be processed and the interference height values ​​of the working profile of the left-threaded grinding wheel shaft section and the working profile of the right-threaded grinding wheel shaft section in the general parallel grinding profile design;

[0078] Determine the anti-interference cylindrical surface according to the height value of the anti-interference cylindrical surface;

[0079] The special-shaped grinding wheel is determined according to the anti-interference cylindrical surface, the right thread processing surface and the left thread processing surface.

[0080] Specifically, determine the geometric shape of the designed special-shaped grinding wheel, such as Figure 7 As shown in the figure, the designed special-shaped grinding wheel consists of three surfaces: left thread processing surface 7, anti-interference cylindrical surface 8, and right thread processing surface 9; the left thread processing surface and the right thread processing surface are obtained by rotating the two grinding wheel shaft section working profiles obtained in step 3; the height value h of the anti-interference cylindrical surface 3 It is equal to the pitch p of the internal thread to be processed minus the interference height value Δh of the working profile of the grinding wheel shaft section calculated in step 3 in the general parallel grinding profile design.

[0081] Furthermore, the process parameters include:

[0082] Grinding wheel speed, workpiece speed and axial movement speed.

[0083] Further, the process parameters of the grinding process of the internal thread with a large aspect ratio to be processed are determined according to the special-shaped grinding wheel, including:

[0084] Grinding wheel speed w G Determined by the machining capacity of the machine tool and the characteristics of the grinding wheel, the speed w of the internal threaded workpiece being machined W and axial speed v W Satisfying the relationship, v W =w W p, where p is the pitch of the internal thread workpiece being processed.

[0085] Specifically, the parallel axis grinding process is performed on the large aspect ratio internal thread of the reverse planetary roller screw pair by the machine tool according to the process parameters determined in step 4, and the grinding wheel installation distance is e, such as Figure 8 As shown, the designed special-shaped parallel grinding wheel grinding rod 10 is parallel to the axial direction of the internal thread workpiece 5 to be processed. The left side of the grinding wheel processes the left thread surface of the previous circle of threads, and the right side of the grinding wheel processes the right thread surface of the next circle of threads. The workpiece performs a spiral motion relative to the grinding wheel, and the right spiral surface of the previous circle of threads will also be gradually processed by the right side of the grinding wheel; after reciprocating motion, the entire large aspect ratio internal thread on both sides of the working thread is completely processed. It can be seen that this processing method will not process excessive surfaces.

[0086] The various embodiments in this specification are described in a progressive manner, and each embodiment focuses on the differences from other embodiments. The same or similar parts between the various embodiments can be referenced to each other. Specific examples are used in this article to illustrate the principles and implementation methods of the present invention. The description of the above embodiments is only used to help understand the method of the present invention and its core idea; at the same time, for those of ordinary skill in the art, according to the idea of ​​the present invention, there will be changes in the specific implementation methods and scope of application. In summary, the content of this specification should not be understood as a limitation on the present invention.

Claims

1. A method for processing a large aspect ratio internal thread parallel axis grinding wheel, characterized in that: include: Determine the basic parameters of the internal thread with large aspect ratio to be processed, and select the appropriate grinding wheel installation distance; Establishing the spiral surface equation and meshing equation of the internal thread with a large aspect ratio according to the basic parameters of the internal thread with a large aspect ratio to be processed and the number of installation distances of the grinding wheel; Iteratively calculate the working profiles of the left and right grinding wheel shaft sections of the large aspect ratio internal thread to be processed according to the spiral surface equation and the meshing equation; Determine the special-shaped grinding wheel for parallel-axis grinding of the large-length-diameter-ratio internal thread to be processed according to the working profiles of the left and right grinding wheel shaft sections of the large-length-diameter-ratio internal thread to be processed; Determining the process parameters of the large aspect ratio internal thread grinding process to be processed according to the special-shaped grinding wheel; The large aspect ratio internal thread to be processed is subjected to parallel axis grinding according to the process parameters.

2. The method for processing a large aspect ratio internal thread parallel axis grinding wheel according to claim 1, characterized in that: The basic parameters of the large aspect ratio internal thread to be processed include: The major diameter, medium diameter, minor diameter, tooth angle, thread lead angle, pitch, number of starts, thread length, and outer diameter of the nut of the internal thread.

3. The method for processing a large aspect ratio internal thread parallel axis grinding wheel according to claim 1, characterized in that: The method for determining the grinding wheel installation distance is: The grinding wheel installation distance is 0.15 times the median diameter of the large aspect ratio internal thread to be processed.

4. The method for processing a large aspect ratio internal thread parallel axis grinding wheel according to claim 1, characterized in that: The helical surface equation and meshing equation are: Among them, x W ,y W 、z W are the coordinates of the internal thread helical surface points on the x, y, and z axes respectively; r W is the radial distance of the internal thread helical surface point, θ W is the rotation angle of the internal thread helical surface point; and are the rotation speeds of the internal thread workpiece and the grinding wheel respectively; r W is the radial distance of the point on the internal thread to be processed; r G is the radial distance of the point on the internal thread to be processed; p is the pitch of the internal thread to be processed; n M v is the common normal vector of the internal thread workpiece and the grinding wheel; WG is the relative linear velocity of the contact point between the internal thread workpiece and the grinding wheel; It indicates the coordinate value of the center point of the grinding wheel on the x-axis in the internal thread rotating surface coordinate system; e is the grinding wheel installation distance; the "±" sign indicates the rotation direction of the internal thread to be processed. The "+" sign is used when processing right-handed threads, and the "-" sign is used when processing left-handed threads.

5. The method for processing a large aspect ratio internal thread parallel axis grinding wheel according to claim 1, characterized in that: The iterative calculation of the working profiles of the left and right grinding wheel shaft sections of the large aspect ratio internal thread to be processed according to the spiral surface equation and the meshing equation includes: Determine the radial distance and the rotation angle according to the spiral surface equation and the meshing equation; Determine the coordinate value of the spiral surface of the large aspect ratio internal thread on the grinding wheel coordinate system according to the radial distance and the rotation angle; Rotational projection is performed according to the coordinate values ​​on the grinding wheel coordinate system to obtain the working profile of the left-threaded grinding wheel shaft section and the working profile of the right-threaded grinding wheel shaft section on the axial section of the grinding wheel.

6. The method for processing a large aspect ratio internal thread parallel axis grinding wheel according to claim 4, characterized in that: The method of determining the special-shaped grinding wheel for parallel axis grinding of the large aspect ratio internal thread to be processed according to the working profiles of the left and right grinding wheel shaft sections of the large aspect ratio internal thread to be processed comprises: Rotate the working profile of the left grinding wheel shaft cross section to determine the left thread processing surface; Rotate the working profile of the right grinding wheel shaft cross section to determine the right thread processing surface; According to the pitch of the internal thread to be processed Determine the height value of the anti-interference cylindrical surface based on the interference height value of the left-threaded grinding wheel shaft section working profile and the right-threaded grinding wheel shaft section working profile in the general parallel grinding profile design; Determine the anti-interference cylindrical surface according to the height value of the anti-interference cylindrical surface; The special-shaped grinding wheel is determined according to the anti-interference cylindrical surface, the right thread processing surface and the left thread processing surface.

7. The method for processing a large aspect ratio internal thread parallel axis grinding wheel according to claim 1, characterized in that: The process parameters include: Grinding wheel speed, workpiece speed and axial movement speed.

Citation Information

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