Arc grinding wheel dressing track planning method and system based on dressing tool wear compensation

Abstract

The invention discloses an arc grinding wheel dressing track planning method and system based on dressing tool wear compensation. The method comprises the steps that a contour equation is solved according to the outer contour of a target grinding wheel; the outline of the grinding wheel is divided into a plurality of layers in the solid direction of the grinding wheel, and every two adjacent layers form a group; shrinking the odd-layer grinding wheel contour equation towards the grinding wheel entity direction to set a linear value, and generating an odd-layer correction track and an even-layer finishing track; the odd-number-layer dressing track and the even-number-layer dressing track are combined to form a non-linear mixed and direction-alternating grinding wheel dressing track; and from the starting point of the dressing track, the dressing track is divided into a plurality of points in an equal-angle mode, the dressing tool moves in sequence along the track, and grinding wheel dressing is conducted till the contour precision and roundness of the grinding wheel meet the ultra-precision machining requirement. According to the invention, the outer contour material of the dressed wheel is uniformly removed, so that the contour precision of the dressed grinding wheel is improved.

Description

Technical Field

[0001] The invention belongs to the technical field of arc grinding wheels, and in particular relates to a method and system for planning a dressing trajectory of an arc grinding wheel based on wear compensation of a dressing tool. Background Art

[0002] In the field of precision and ultra-precision grinding, especially in the field of free-form optical component processing, grinding wheel dressing is the first step in grinding and is also the key to ensuring good processing capabilities after the grinding wheel is worn. Large-diameter free-form optical workpieces are mainly processed by envelope grinding with cup-shaped or arc diamond wheels. Due to the high hardness of the processed material, small contact area, different curvature radii at different locations on the surface, and changes in the contact angle between the grinding wheel and the workpiece surface, the grinding wheel will produce significant non-uniform random wear and blockage. Its contour error will be directly copied on the workpiece, seriously affecting the quality of the processed surface, increasing the mid- and high-frequency parts of the surface micro-morphology, and making it difficult to achieve ideal processing accuracy. In order to suppress the in-situ circular runout error of the grinding wheel and improve the contour accuracy of the grinding wheel, the grinding wheel must be precisely dressed in-situ before grinding and after a period of use to ensure the grinding quality.

[0003] At present, many scholars have conducted relevant research on grinding wheel dressing. Jin Weiguo et al. (Jin Guowei, Wang Sheng, Zhao Qingliang. Experimental study on in-situ precision dressing of metal-based circular arc diamond grinding wheel [J]. Precision Manufacturing and Automation, 2020(01):12-15+22.DOI:10.16371 / j.cnki.issn1009-962x.2020.01.004.) performed feed compensation on both sides of the circular arc grinding wheel and completed the dressing of the circular arc diamond grinding wheel through circular arc interpolation. This method only feeds on both sides of the circular arc grinding wheel, and does not compensate for the wear of the grinding wheel during the circular arc interpolation process, so the dressing accuracy is limited; Xie Jin et al. (XIE, J., LI, Q., SUN, JX, et al. Study on ductile-mode mirror grinding of SiC ceramic freeform surface using an elliptical torus-shaped diamond wheel [J]. Journal of Materials Processing Technology, 2015, 222422-433. DOI:10.1016 / j.jmatprotec.2015.03.027.) When dressing an elliptical grinding wheel, a segmented reciprocating dressing trajectory was used to improve the problem of an obvious protruding ridge in the middle of the grinding wheel after dressing; Dang Ximin et al. (Dang Ximin. Dressing of arc-shaped diamond grinding wheels and evaluation of dressing effects [D]. Guangdong: South China University of Technology, 2007. DOI:10.7666 / d.Y1183421.) compared the traditional arc dressing trajectory, the segmented roundness dressing trajectory, and the segmented arc smoothing dressing trajectory, and found that the third dressing process can reduce side impact, and the smooth transition dressing effect of the arc top is better.

[0004] These methods have their own advantages and scope of application, and fully demonstrate the creativity and importance of dressing trajectory planning. However, there are still some limitations, especially the wear of the dressing tool is not taken into account. Especially when the dressing accuracy requirements are high and the dressing tool wears quickly, it is difficult to achieve high-precision dressing of the grinding wheel profile. Summary of the invention

[0005] The purpose of the present invention is to provide a method and system for planning arc grinding wheel dressing trajectory based on dressing tool wear compensation in order to solve the problem that the grinding wheel profile accuracy after dressing is low due to the wear of the dressing tool during the grinding wheel dressing process.

[0006] In order to achieve the above object, the present invention adopts the following technical solution: The arc grinding wheel dressing trajectory planning method based on dressing tool wear compensation includes: Calculate the contour equation according to the outer contour of the target grinding wheel; Divide the grinding wheel profile into several layers along the grinding wheel entity direction, with two adjacent layers as a group; The contour equation of the odd-numbered grinding wheel is contracted to a set linear value in the direction of the grinding wheel entity to generate a correction trajectory of the odd-numbered layers; The contour equation of the even-numbered grinding wheel is contracted to a set linear value in the direction of the grinding wheel entity, transformed and translated downward, and connected to the end of the dressing trajectory of the odd-numbered grinding wheel to generate the dressing trajectory of the even-numbered grinding wheel; The odd-numbered layer dressing trajectory and the even-numbered layer dressing trajectory are combined to form a nonlinear mixed and alternating direction grinding wheel dressing trajectory; Starting from the starting point of the dressing trajectory, the dressing trajectory is divided into several points at equal angles. The dressing tool moves along the trajectory in sequence to dress the grinding wheel until the grinding wheel profile accuracy and roundness meet the requirements of ultra-precision machining.

[0007] A further improvement of the present invention is that a profile equation is obtained according to the outer profile of the target grinding wheel, including: Define the contour equation of the trimmed wheel as , the modified trajectory equation is is the compensation coefficient, and its value is set according to the grinding ratio of the dressing tool and the dressed wheel. When the wear is uniform in the direction, the following formula is satisfied: .

[0008] 3. The arc grinding wheel dressing trajectory planning method based on dressing tool wear compensation according to claim 2 is characterized in that the grinding wheel contour is divided into several layers along the grinding wheel entity direction, and two adjacent layers form a group, including: Define the single-pass dressing amount as The total trimming amount is , then the trimming trajectory is divided into layer: .

[0009] A further improvement of the present invention is that the contour equation of the odd-numbered grinding wheel is contracted to set a linear value in the direction of the grinding wheel entity to generate an odd-numbered layer correction trajectory, including: The trimming trajectory is from the center angle spacing to The trajectory points are composed of Representative Layer track and less than or equal to , ( ) is located at The center angle is The starting point of the trajectory, Represents the range of the central angle of the circle in [ ] is divided into the first points, the central angle of the odd-numbered layers is Increase point by point to , then when When it is an odd number, the relationship between the trimming track points of the odd layer after compensation is:

[0010]

[0011]

[0012] .

[0014] A further improvement of the present invention is that the contour equation of the even-numbered grinding wheel is contracted to set a linear value in the direction of the grinding wheel entity, transformed and translated downward, and connected to the end of the odd-numbered dressing trajectory to generate the even-numbered dressing trajectory, including: The starting point of the even-numbered trajectory is at the center angle of At the center angle of the circle Reduce point by point to , then when When it is an even number, the relationship between the trimming track points of the even-numbered layers after compensation is:

[0015]

[0016]

[0017] .

[0019] A further improvement of the present invention is that, starting from the starting point of the dressing track, the grinding wheel is sequentially moved along the dressing tracks connected end to end and having the dressing tool wear compensation in an equiangular manner to perform grinding wheel dressing, including: The dressing tool is relative to the grinding wheel being dressed, from the first layer center angle And it is exactly tangent to the wheel being dressed, and moves point by point along the CNC trajectory with compensation to the point where the central angle is At the end of the first layer of trimming track, start from the center angle of At, move point by point along the CNC trajectory with compensation until the center angle is The subsequent layers are performed point by point in turn to complete the trimming of the trimmed wheel track.

[0020] The arc grinding wheel dressing trajectory planning system based on dressing tool wear compensation includes: Contour equation solving equation, find the contour equation according to the outer contour of the target grinding wheel; The segmentation module segments the grinding wheel profile into several layers along the grinding wheel entity direction, with two adjacent layers as a group; An odd-numbered layer correction trajectory generation module shrinks the odd-numbered layer grinding wheel contour equation toward the grinding wheel entity direction to set a linear value to generate an odd-numbered layer correction trajectory; The even-numbered layer correction trajectory generation module shrinks the contour equation of the even-numbered layer grinding wheel toward the solid direction of the grinding wheel to set a linear value, transforms and translates it downward, and connects it with the end of the odd-numbered layer dressing trajectory to generate the even-numbered layer dressing trajectory; The grinding wheel dressing trajectory forming module combines the odd-numbered layer dressing trajectory with the even-numbered layer dressing trajectory to form a nonlinear mixed and alternating direction grinding wheel dressing trajectory; The grinding wheel dressing module starts from the starting point of the dressing trajectory and divides the dressing trajectory into several points at equal angles. The dressing tool moves along the trajectory in sequence to perform grinding wheel dressing until the grinding wheel profile accuracy and roundness meet the requirements of ultra-precision machining.

[0021] A further improvement of the present invention is that, in solving the contour equation, the contour equation is obtained according to the outer contour of the target grinding wheel, including: Define the contour equation of the trimmed wheel as , the modified trajectory equation is is the compensation coefficient, and its value is set according to the grinding ratio of the dressing tool and the dressed wheel. When the wear is uniform in the direction, the following formula is satisfied: .

[0022] A further improvement of the present invention is that, in the segmentation module, the grinding wheel profile is segmented into a plurality of layers along the physical direction of the grinding wheel, with two adjacent layers forming a group, including: Define the single-pass dressing amount as , the total trimming amount is ap, then the trimming trajectory is divided into layer: .

[0023] A computer-readable storage medium, characterized in that the computer-readable storage medium stores a computer program, and when the computer program is executed by a processor, the steps of the arc grinding wheel dressing trajectory planning method based on dressing tool wear compensation are implemented.

[0024] Compared with the prior art, the present invention has at least the following beneficial technical effects: The traditional dressing method of feeding on both sides is used. Since the dressing tool is more easily worn than the diamond grinding wheel, when the dressing tool is an ordinary plane grinding wheel, the first contact part will wear first during the dressing process, and the latter contact part will be cut due to the reduction of the dressing wheel radius, resulting in non-uniform wear of the dressing wheel during the dressing process. Its surface accuracy cannot converge to meet the ultra-precision machining accuracy requirements. The present invention uses the compensation coefficient of the actual wear of the dressing tool , so that the wear depth of the dressed wheel is almost constant during dressing, thereby ensuring the uniform removal of the outer contour material of the dressed wheel, thereby improving the contour accuracy of the dressed grinding wheel.

[0025] The present invention is not only applicable to the dressing of the circular arc cross-section grinding wheel exemplified, but is also applicable to other shaped grinding wheels such as elliptical ones that are dressed by numerical control grinding with a dressing wheel by adjusting the dressing wheel cross-section function. BRIEF DESCRIPTION OF THE DRAWINGS

[0026] In order to more clearly illustrate the specific implementation methods of the present invention or the technical solutions in the prior art, the drawings required for use in the specific implementation methods or the description of the prior art will be briefly introduced below. Obviously, the drawings described below are some implementation methods of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying creative work.

[0027] Figure 1 It is a schematic diagram of the placement of the dressing tool and the wheel to be dressed of the present invention.

[0028] Figure 2 It is a schematic diagram of the main steps of the present invention.

[0029] Figure 3 It is a schematic diagram of the trajectory compensation principle when the dressing tool of the present invention is a plane grinding wheel.

[0030] Figure 4 It is a schematic diagram of odd-numbered layer tracks and even-numbered layer tracks of the present invention.

[0031] Figure 5 It is a schematic diagram of the nonlinear mixed and direction-alternating grinding wheel dressing trajectory generated by the present invention.

[0032] Figure 6 It is a structural block diagram of the arc grinding wheel dressing trajectory planning system based on dressing tool wear compensation of the present invention. DETAILED DESCRIPTION

[0033] In the following, only some exemplary embodiments are briefly described. As those skilled in the art will appreciate, the described embodiments may be modified in various ways without departing from the spirit or scope of the present invention. Therefore, the drawings and descriptions are considered to be exemplary and non-restrictive in nature.

[0034] It should be understood that when used in this specification and the appended claims, the terms "include" and "comprises" indicate the presence of described features, integers, steps, operations, elements and / or components, but do not exclude the presence or addition of one or more other features, integers, steps, operations, elements, components and / or combinations thereof.

[0035] It should also be understood that the terms used in the present specification are only for the purpose of describing specific embodiments and are not intended to limit the present invention. As used in the present specification and the appended claims, unless the context clearly indicates otherwise, the singular forms "a", "an" and "the" are intended to include plural forms.

[0036] It should be further understood that the term "and / or" used in the present description and the appended claims refers to any and all possible combinations of one or more of the associated listed items, and includes these combinations.

[0037] Various structural schematic diagrams of the embodiments disclosed in the present invention are shown in the accompanying drawings. These figures are not drawn to scale, and some details are magnified and some details may be omitted for the purpose of clear expression. The shapes of various regions and layers shown in the figures and the relative sizes and positional relationships therebetween are only exemplary, and may deviate in practice due to manufacturing tolerances or technical limitations, and those skilled in the art may additionally design regions / layers with different shapes, sizes, and relative positions according to actual needs.

[0038] The embodiments of the present invention are described in detail below with reference to the accompanying drawings.

[0039] Example 1 like Figure 1 As shown, the dressing tool used in the present invention is a plane grinding wheel, which is mounted on a dressing shaft and is placed orthogonally to the axis of the wheel being dressed. Figure 2 As shown, the present invention provides a circular arc grinding wheel dressing trajectory planning method based on dressing tool wear compensation, comprising the following steps: Step 1: Coordinate system definition and uncompensated equation calculation like Figure 1 As shown, the definition ( O w , X w , Y w , Z w ) is the workpiece coordinate system (Cartesian coordinate system), and its coordinate origin Located at the center of the dressing tool circle, the coordinate axis Xw The axis direction of the dressing tool is the final CNC interpolation trajectory of the dressing tool relative to the grinding wheel to be dressed, which is the movement of the YZ plane of this coordinate system relative to the origin of the workpiece coordinate system.

[0040] Taking the dressing wheel as an arc section grinding wheel as an example, the uncompensated equation is calculated according to the grinding wheel cross section. Assume that the arc radius of the dressing wheel cross section is ,like Figure 3 As shown, the central angle is ,exist( O w , X w , Y w , Z w )Workpiece coordinate system The range is [ ]; Its value is calculated from the radius and width of the wheel to be trimmed. Suppose the width of the wheel to be trimmed is b ,but The calculation formula is:

[0041]

[0042] Assume the radius of the dressing tool is R The contour equation of the trimmed wheel is defined as , the modified trajectory equation is is the compensation coefficient, and its value is set according to the grinding ratio of the dressing tool and the dressed wheel. When the wear is uniform in the direction, the following formula is satisfied:

[0043] Dressing trajectory before compensation of the trimmed wheel section It can be expressed as a parametric equation:

[0044]

[0045] in

[0046] Step 2: Grinding wheel dressing track segmentation like Figure 4 As shown, the single-channel dressing amount is defined as The total trimming amount is , then the trimming trajectory is divided into layer:

[0047] Step 3: Odd-layer grinding wheel wear compensation, generate odd-layer dressing track like Figure 4 As shown, the trimming trajectory is divided into two parts: The trajectory points are composed of Representative Layer track and less than or equal to , ( ) is located at The center angle is The starting point of the trajectory, Represents the range of the central angle of the circle in [ ] is divided into the first points, the central angle of the odd-numbered layers is Increase point by point to , then when When it is an odd number, the relationship between the trimming track points of the odd layer after compensation is:

[0048]

[0049]

[0050]

[0051] Step 4: Even-layer grinding wheel wear compensation, generate even-layer dressing trajectory The starting point of the even-numbered trajectory is at the center angle of At the center angle of the circle Reduce point by point to , then when When it is an even number, the relationship between the trimming track points of the even-numbered layers after compensation is:

[0052]

[0053]

[0054]

[0055] Step 5: Figure 5 As shown, the odd-numbered layer tracks and the even-numbered layer tracks are combined to form a reciprocating dressing track that is connected end to end and has a dressing tool wear compensation function.

[0056] Step 6: Starting from the starting point of the dressing track, move along the dressing track that is connected end to end and has dressing tool wear compensation in an equiangular manner to complete the dressing of the grinding wheel. Repeat inspection and dressing until the processing requirements are met.

[0057] In step 6, the reciprocating dressing trajectory motion process with end-to-end connection and dressing tool wear compensation is specifically as follows: like Figure 5 As shown, the dressing tool is relative to the dressing wheel, from the first layer center angle And it is exactly tangent to the wheel being dressed, and moves point by point along the CNC trajectory with compensation to the point where the central angle is At the end of the first layer of trimming track, start from the center angle of At, move point by point along the CNC trajectory with compensation until the center angle is The subsequent layers are performed point by point in turn to complete the trimming of the trimmed wheel track.

[0058] Example 2 like Figure 6 As shown, the arc grinding wheel dressing trajectory planning system based on dressing tool wear compensation provided by the present invention includes: Contour equation solving equation, find the contour equation according to the outer contour of the target grinding wheel; The segmentation module segments the grinding wheel profile into several layers along the grinding wheel entity direction, with two adjacent layers as a group; An odd-numbered layer correction trajectory generation module shrinks the odd-numbered layer grinding wheel contour equation toward the grinding wheel entity direction to set a linear value to generate an odd-numbered layer correction trajectory; The even-numbered layer correction trajectory generation module shrinks the contour equation of the even-numbered layer grinding wheel toward the solid direction of the grinding wheel to set a linear value, transforms and translates it downward, and connects it with the end of the odd-numbered layer dressing trajectory to generate the even-numbered layer dressing trajectory; The grinding wheel dressing trajectory forming module combines the odd-numbered layer dressing trajectory with the even-numbered layer dressing trajectory to form a nonlinear mixed and alternating direction grinding wheel dressing trajectory; The grinding wheel dressing module starts from the starting point of the dressing trajectory and divides the dressing trajectory into several points at equal angles. The dressing tool moves along the trajectory in sequence to perform grinding wheel dressing until the grinding wheel profile accuracy and roundness meet the requirements of ultra-precision machining.

[0059] Example 3 The present invention provides a computer-readable storage medium, which stores a computer program. When the computer program is executed by a processor, the steps of the circular arc grinding wheel dressing trajectory planning method based on dressing tool wear compensation are implemented.

[0060] Those skilled in the art will appreciate that the embodiments of the present application may be provided as methods, systems, or computer program products. Therefore, the present application may adopt the form of a complete hardware embodiment, a complete software embodiment, or an embodiment combining software and hardware. Moreover, the present application may adopt the form of a computer program product implemented on one or more computer-usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) containing computer-usable program codes.

[0061] The present application is described with reference to the flowcharts and / or block diagrams of the methods, systems and computer program products according to the embodiments of the present application. It should be understood that each process and / or block in the flowchart and / or block diagram, as well as the combination of the processes and / or blocks in the flowchart and / or block diagram, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, a special-purpose computer, an embedded processor or other programmable data processing device to generate a machine, so that the instructions executed by the processor of the computer or other programmable data processing device generate instructions for implementing the processes in the flowchart and / or block diagram. Figure 1 A process or multiple processes and / or boxes Figure 1 A system that specifies the functions of a box or multiple boxes.

[0062] These computer program instructions may also be stored in a computer-readable memory capable of directing a computer or other programmable data processing device to operate in a specific manner, so that the instructions stored in the computer-readable memory produce an article of manufacture comprising an instruction device, which implements the process Figure 1 A process or multiple processes and / or boxes Figure 1 A function specified in one or more boxes.

[0063] These computer program instructions can also be loaded onto a computer or other programmable data processing device so that a series of operating steps are executed on the computer or other programmable device to produce a computer-implemented process, thereby providing instructions for implementing the process. Figure 1 A process or multiple processes and / or boxes Figure 1 The steps for the functions specified in one or more boxes.

[0064] The invention points of the present invention are: 1. By placing the dressing wheel axis orthogonally to the axis of the dressed wheel, and using CNC grinding, the dressing trajectory is offset by a set function relative to the physical direction of the dressing wheel to achieve uniform wear of all parts of the dressed wheel.

[0065] 2. By controlling the wear of the dressed wheel to be uniform everywhere, high-precision dressing of the cross-section surface can be achieved.

[0066] The above shows and describes the basic principles and main features of the present invention and the advantages of the present invention. It is obvious to those skilled in the art that the present invention is not limited to the details of the above exemplary embodiments, and the present invention can be implemented in other specific forms without departing from the spirit or basic features of the present invention. Therefore, no matter from which point of view, the embodiments should be regarded as exemplary and non-restrictive. The scope of the present invention is defined by the attached claims rather than the above description, and it is intended that all changes falling within the meaning and scope of the equivalent elements of the claims are included in the present invention. Any figure mark in the claims should not be regarded as limiting the claims involved.

[0067] In addition, it should be understood that although this specification is described in accordance with the implementation modes, not every implementation mode contains only one independent technical solution. This description of the specification is only for the sake of clarity. Those skilled in the art should regard the specification as a whole. The technical solutions in each embodiment can also be appropriately combined to form other implementation modes that can be understood by those skilled in the art. The above content is only to illustrate the technical idea of ​​the present invention, and cannot be used to limit the protection scope of the present invention. Any changes made on the basis of the technical solution according to the technical idea proposed by the present invention shall fall within the protection scope of the claims of the present invention.

Claims

1. A circular grinding wheel dressing trajectory planning method based on dressing tool wear compensation, characterized in that: include: Calculate the contour equation according to the outer contour of the target grinding wheel; Divide the grinding wheel profile into several layers along the grinding wheel entity direction, with two adjacent layers as a group; The contour equation of the odd-numbered grinding wheel is contracted to a set linear value in the direction of the grinding wheel entity to generate a correction trajectory of the odd-numbered layers; The contour equation of the even-numbered grinding wheel is contracted to a set linear value in the direction of the grinding wheel entity, transformed and translated downward, and connected to the end of the dressing trajectory of the odd-numbered grinding wheel to generate the dressing trajectory of the even-numbered grinding wheel; The odd-numbered layer dressing trajectory and the even-numbered layer dressing trajectory are combined to form a nonlinear mixed and alternating direction grinding wheel dressing trajectory; Starting from the starting point of the dressing trajectory, the dressing trajectory is divided into several points at equal angles. The dressing tool moves along the trajectory in sequence to dress the grinding wheel until the grinding wheel profile accuracy and roundness meet the requirements of ultra-precision machining.

2. The arc grinding wheel dressing trajectory planning method based on dressing tool wear compensation according to claim 1 is characterized in that: According to the outer contour of the target grinding wheel, the contour equation is obtained, including: Define the contour equation of the trimmed wheel as , the modified trajectory equation is is the compensation coefficient, and its value is set according to the grinding ratio of the dressing tool and the dressed wheel. When the wear is uniform in the direction, the following formula is satisfied: 。 3. The arc grinding wheel dressing trajectory planning method based on dressing tool wear compensation according to claim 2 is characterized in that: The grinding wheel profile is divided into several layers along the grinding wheel entity direction, and two adjacent layers are grouped as a group, including: Define the single-pass dressing amount as The total trimming amount is , then the trimming trajectory is divided into layer: 。 4. The arc grinding wheel dressing trajectory planning method based on dressing tool wear compensation according to claim 3 is characterized in that: The odd-numbered grinding wheel contour equation is contracted to set a linear value in the direction of the grinding wheel entity to generate an odd-numbered layer correction trajectory, including: The trimming trajectory is from the center angle spacing to The trajectory points are composed of Representative Layer track and less than or equal to , ( ) is located at The center angle is The starting point of the trajectory, Represents the range of the central angle of the circle in [ ] is divided into the first points, the central angle of the odd-numbered layers is Increase point by point to , then when When it is an odd number, the relationship between the trimming track points of the odd layer after compensation is: 。 5. The arc grinding wheel dressing trajectory planning method based on dressing tool wear compensation according to claim 4 is characterized in that: The contour equation of the even-numbered grinding wheel is contracted to a set linear value in the direction of the grinding wheel entity, transformed and translated downward, and connected to the end of the odd-numbered dressing trajectory to generate the even-numbered dressing trajectory, including: The starting point of the even-numbered trajectory is at the center angle of At the center angle of the circle Reduce point by point to , then when When it is an even number, the relationship between the trimming track points of the even-numbered layers after compensation is: 。 6. The arc grinding wheel dressing trajectory planning method based on dressing tool wear compensation according to claim 5 is characterized in that: Starting from the starting point of the dressing track, the grinding wheel is dressed by moving in sequence along the dressing tracks that are connected end to end and have dressing tool wear compensation at equal angles, including: The dressing tool is relative to the grinding wheel being dressed, from the first layer center angle And it is exactly tangent to the wheel being dressed, and moves point by point along the CNC trajectory with compensation to the point where the central angle is At the end of the first layer of trimming track, start from the center angle of At, move point by point along the CNC trajectory with compensation until the center angle is The subsequent layers are performed point by point in turn to complete the trimming of the trimmed wheel track.

7. Arc grinding wheel dressing trajectory planning system based on dressing tool wear compensation, characterized in that: include: Contour equation solving equation, find the contour equation according to the outer contour of the target grinding wheel; The segmentation module segments the grinding wheel profile into several layers along the grinding wheel entity direction, with two adjacent layers as a group; An odd-numbered layer correction trajectory generation module shrinks the odd-numbered layer grinding wheel contour equation toward the grinding wheel entity direction to set a linear value to generate an odd-numbered layer correction trajectory; The even-numbered layer correction trajectory generation module shrinks the contour equation of the even-numbered layer grinding wheel toward the solid direction of the grinding wheel to set a linear value, transforms and translates it downward, and connects it with the end of the odd-numbered layer dressing trajectory to generate the even-numbered layer dressing trajectory; The grinding wheel dressing trajectory forming module combines the odd-numbered layer dressing trajectory with the even-numbered layer dressing trajectory to form a nonlinear mixed and alternating direction grinding wheel dressing trajectory; The grinding wheel dressing module starts from the starting point of the dressing trajectory and divides the dressing trajectory into several points at equal angles. The dressing tool moves along the trajectory in sequence to dress the grinding wheel until the grinding wheel profile accuracy and roundness meet the requirements of ultra-precision machining.

8. The arc grinding wheel dressing trajectory planning system based on dressing tool wear compensation according to claim 7, characterized in that: In solving the contour equation, the contour equation is obtained according to the outer contour of the target grinding wheel, including: Define the contour equation of the trimmed wheel as , the modified trajectory equation is is the compensation coefficient, and its value is set according to the grinding ratio of the dressing tool and the dressed wheel. When the wear is uniform in the direction, the following formula is satisfied: 。 9. The arc grinding wheel dressing trajectory planning system based on dressing tool wear compensation according to claim 8, characterized in that: In the segmentation module, the grinding wheel profile is segmented into several layers along the grinding wheel entity direction, and two adjacent layers form a group, including: Define the single-pass dressing amount as The total trimming amount is , then the trimming trajectory is divided into layer: 。 10. A computer-readable storage medium, characterized in that: The computer-readable storage medium stores a computer program, which, when executed by a processor, implements the steps of the arc grinding wheel dressing trajectory planning method based on dressing tool wear compensation according to any one of claims 1 to 6.

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