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

Abstract

The present invention is based on a circular arc grinding wheel dressing trajectory planning method and system for compensating for dressing tool wear, comprising the following steps: obtaining a contour equation based on the target grinding wheel outer contour; dividing the grinding wheel contour into several layers along the physical direction of the grinding wheel, with two adjacent layers forming a group; shrinking the odd-layer grinding wheel contour equation in the physical direction of the grinding wheel to set a linear value to generate an odd-layer correction trajectory and an even-layer dressing trajectory; combining the odd-layer dressing trajectory with the even-layer dressing trajectory to form a nonlinear mixed grinding wheel dressing trajectory with alternating directions; starting from the starting point of the dressing trajectory, dividing the dressing trajectory into several points at equal angles, and moving the dressing tool along the trajectory in sequence to perform grinding wheel dressing until the grinding wheel contour accuracy and roundness meet the requirements of ultra-precision machining. The present invention ensures uniform removal of material from the outer contour of the dressed wheel, thereby improving the contour accuracy of the dressed grinding wheel.

Description

Technical Field

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

[0002] In the field of precision and ultra-precision grinding, especially in the processing of free-form optical components, grinding wheel dressing is the first step in grinding and is also the key to ensuring good processing capabilities after the grinding wheel wears. Large-diameter free-form optical workpieces are mainly processed by envelope grinding with cup-shaped or arc diamond grinding wheels. Due to the high hardness of the processed material, small contact area, different curvature radius 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 profile error will be directly copied to the workpiece, seriously affecting the quality of the processed surface, increasing the mid- and high-frequency parts of the surface micromorphology, 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 grinding wheel profile accuracy, the grinding wheel must be accurately dressed in-situ before grinding and after a period of use to ensure 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, does not compensate for the wear of the grinding wheel during the circular arc interpolation process, and 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 cross-section 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 could reduce side impact, and the smooth transition dressing effect of the arc top was 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 circular grinding wheel dressing trajectory planning method and system based on dressing tool wear compensation to address the problem that the grinding wheel profile accuracy after dressing is low due to dressing tool wear during the grinding wheel dressing process.

[0006] In order to achieve the above object, the present invention adopts the following technical solutions:

[0007] The arc grinding wheel dressing trajectory planning method based on dressing tool wear compensation includes:

[0008] Calculate the contour equation according to the outer contour of the target grinding wheel;

[0009] Divide the grinding wheel profile into several layers along the grinding wheel entity direction, with two adjacent layers as a group;

[0010] 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 for the odd-numbered layers;

[0011] 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;

[0012] Combining 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;

[0013] 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.

[0014] A further improvement of the present invention is that the contour equation is obtained according to the outer contour of the target grinding wheel, including:

[0015] Define the contour equation of the dressed wheel as F(z), the dressing trajectory equation as G(z), and k as the compensation coefficient. Its value is set according to the grinding ratio of the dressing tool and the dressed wheel. When the dressed wheel is evenly worn along the Y direction, the following equation is satisfied:

[0016] F(z)-G(z)=kz.

[0017] A further improvement of the present invention is that the grinding wheel profile is divided into several layers along the physical direction of the grinding wheel, with two adjacent layers forming a group, including:

[0018] Define the single-channel dressing amount as a and the total dressing amount as a p , then the trimming trajectory is divided into N layers:

[0019] N=a p / a.

[0020] A further improvement of the present invention is that the odd-layer grinding wheel profile equation is contracted to set a linear value in the direction of the grinding wheel entity to generate an odd-layer correction trajectory, including:

[0021] The trimming trajectory consists of trajectory points with a central angle spacing of Δθ, where n represents the nth layer trajectory and is less than or equal to N. (Y0, Z0) is the starting trajectory point located at the central angle θ1 of f(θ). i represents the i-th point of the odd-layer trajectory with a central angle range of [θ1, θ2] divided into equal angles. The central angle of the odd layer increases point by point by Δθ from θ1 to θ2. When n is an odd number, the relationship between the trimming trajectory points of the odd layer after compensation is: Y0 = (R+r-(n-1)a)sin(θ1)-k((R+r-(n-1)a)cosθ1-(R+r-(n-1)a)cos(θ1))

[0022]

[0023] Y i =(R+r-(n-1)a)sin(θ1+iΔθ)-k((R+r-(n-1)a)cosθ1-(R+r-(n-1)a)cos(θ1+iΔθ))

[0024]

[0025] A further improvement of the present invention is 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:

[0026] The starting point of the even-numbered layer track is at the center angle θ2, and the center angle decreases point by point from θ2 to θ1. When n is an even number, the relationship between the even-numbered layer trimming track points after compensation is:

[0027] Y0=(R+r-(n-1)a)sin(θ2)-k((R+r-(n-1)a)cosθ2+(R+r-(n-1)a)cos(θ2))

[0028]

[0029] Y i =(R+r-(n-1)a)sin(θ2-iΔθ)-k((R+r+(n-1)a)cosθ2-(R+r-(n-1)a)cos(θ2-iΔθ))

[0030]

[0031] A further improvement of the present invention is that, starting from the starting point of the dressing track, the grinding wheel is sequentially moved at equal angles along the dressing track connected end to end and having the function of compensating for the wear of the dressing tool, to perform dressing of the grinding wheel, comprising:

[0032] Relative to the dressed grinding wheel, the dressing tool moves point by point along the compensated CNC trajectory from the position where the central angle of the first layer is θ1 and is exactly tangent to the dressed wheel to the position where the central angle is θ2, that is, the end of the first layer of dressing trajectory. Then, it starts from the position where the central angle is θ2 and moves point by point along the compensated CNC trajectory to the position where the central angle is θ1. The subsequent layers are performed point by point in sequence to complete the dressing of the dressed wheel trajectory.

[0033] The arc grinding wheel dressing trajectory planning system based on dressing tool wear compensation includes:

[0034] Solve the contour equation and find the contour equation according to the outer contour of the target grinding wheel;

[0035] The splitting module splits the grinding wheel profile into several layers along the grinding wheel entity direction, with two adjacent layers as a group;

[0036] The odd-layer correction trajectory generation module shrinks the odd-layer grinding wheel profile equation toward the grinding wheel entity direction to set a linear value to generate the odd-layer correction trajectory;

[0037] The even-layer correction trajectory generation module shrinks the contour equation of the even-layer grinding wheel toward the grinding wheel entity by a set linear value, transforms and translates it downward, and connects it with the end of the odd-layer dressing trajectory to generate the even-layer dressing trajectory;

[0038] The grinding wheel dressing trajectory forming module combines the odd-numbered layer dressing trajectory and the even-numbered layer dressing trajectory to form a nonlinear mixed and alternating direction grinding wheel dressing trajectory;

[0039] The grinding wheel dressing module starts from the starting point of the dressing track and divides the dressing track into several points at equal angles. The dressing tool moves along the track in sequence to dress the grinding wheel until the grinding wheel profile accuracy and roundness meet the requirements of ultra-precision machining.

[0040] 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:

[0041] Define the contour equation of the dressed wheel as F(z), the dressing trajectory equation as F(z), and k as the compensation coefficient. Its value is set according to the grinding ratio of the dressing tool and the dressed wheel. When the dressed wheel is evenly worn along the Y direction, the following equation is satisfied:

[0042] F(z)-G(z)=kz.

[0043] A further improvement of the present invention is that, in the segmentation module, the grinding wheel profile is segmented into several layers along the physical direction of the grinding wheel, with two adjacent layers forming a group, including:

[0044] Define the single-track trimming amount as a and the total trimming amount as ap, then the trimming track is divided into N layers:

[0045] N=a p / a.

[0046] A computer-readable storage medium is characterized in that the computer-readable storage medium stores a computer program, and when the computer program is executed by a processor, it implements the steps of the arc grinding wheel dressing trajectory planning method based on dressing tool wear compensation.

[0047] Compared with the prior art, the present invention has at least the following beneficial technical effects:

[0048] When using the traditional dressing method of double-sided feeding, since the dressing tool is more susceptible to wear than the diamond grinding wheel, when the dressing tool is an ordinary flat grinding wheel, the first contact part will wear first during the dressing process, and the latter contact part will produce tool deflection due to the reduction of the dressing wheel radius, resulting in non-uniform wear of the dressed wheel during the dressing process, and its surface accuracy cannot converge to meet the ultra-precision machining accuracy requirements. The present invention uses the compensation coefficient k of the actual wear of the dressing tool to make the wear depth of the dressed wheel at various locations during dressing be nearly constant, thereby ensuring the uniform removal of the outer contour material of the dressed wheel, thereby improving the contour accuracy of the dressing grinding wheel.

[0049] The present invention is not only applicable to the dressing of circular arc cross-section grinding wheels exemplified, but is also applicable to other shaped grinding wheels such as elliptical ones that are dressed by numerical control grinding with dressing wheels by adjusting the dressing wheel cross-section function. BRIEF DESCRIPTION OF THE DRAWINGS

[0050] In order to more clearly illustrate the specific embodiments of the present invention or the technical solutions in the prior art, the following briefly introduces the drawings required for use in the specific embodiments or the description of the prior art. Obviously, the drawings described below are some embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying any creative work.

[0051] Figure 1 It is a schematic diagram of the placement of the dressing tool and the wheel to be dressed of the present invention.

[0052] Figure 2 It is a schematic flow chart of the main steps of the present invention.

[0053] 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.

[0054] Figure 4 Schematic diagram of odd-numbered layer tracks and even-numbered layer tracks of the present invention.

[0055] Figure 5 It is a schematic diagram of the nonlinear mixed and direction-alternating grinding wheel dressing trajectory generated by the present invention.

[0056] Figure 6 This 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

[0057] Hereinafter, only certain exemplary embodiments are briefly described. As will be appreciated by those skilled in the art, the described embodiments may be modified in various ways without departing from the spirit or scope of the present invention. Therefore, the drawings and description are to be considered as illustrative in nature and not restrictive.

[0058] It will be understood that when used in this specification and the appended claims, the terms “comprises” and “comprising” indicate the presence of described features, integers, steps, operations, elements and / or components, but do not preclude the presence or addition of one or more other features, integers, steps, operations, elements, components and / or groups thereof.

[0059] It should also be understood that the terms used in the present specification are only for the purpose of describing particular embodiments and are not intended to limit the present invention. As used in the present specification and the appended claims, the singular forms "a", "an", and "the" are intended to include the plural forms unless the context clearly indicates otherwise.

[0060] It should be further understood that the term "and / or" used in the present description and the appended claims refers to and includes any and all possible combinations of one or more of the associated listed items.

[0061] The accompanying drawings illustrate various schematic diagrams of structures according to embodiments disclosed herein. These figures are not drawn to scale; for clarity, some details are exaggerated and some details may be omitted. The shapes of the various regions and layers shown in the figures, as well as their relative sizes and positional relationships, are merely exemplary and may deviate in practice due to manufacturing tolerances or technical limitations. Those skilled in the art may design regions / layers with different shapes, sizes, and relative positions as needed.

[0062] The embodiments of the present invention are described in detail below with reference to the accompanying drawings.

[0063] Example 1

[0064] 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:

[0065] Step 1: Coordinate system definition and equation calculation before compensation

[0066] 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 O w Located at the center of the dressing tool circle, coordinate axis X w 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. The YZ plane of this coordinate system moves relative to the origin of the workpiece coordinate system.

[0067] Taking the wheel to be dressed as a circular 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 cross section of the wheel to be dressed is r, as follows: Figure 3 As shown, the central angle is θ, at (O w ,X w ,Y w ,Z w ) The range of θ in the workpiece coordinate system is [θ1, θ2]; its value is calculated by the radius and width of the dressing wheel. If the width of the dressing wheel is b, the calculation formula of θ1 and θ2 is:

[0068]

[0069] Assume that the radius of the dressing tool is R. Define the contour equation of the dressed wheel as F(z), the dressing trajectory equation as G(z), and k as the compensation coefficient. Its value is set according to the grinding ratio of the dressing tool and the dressed wheel. When the dressed wheel is evenly worn along the Y direction, the following equation is satisfied:

[0070] F(z)-G(z)=kz

[0071] The trimming trajectory f(θ) of the trimmed wheel section before compensation is expressed by a parametric equation:

[0072] Y=(R+r)sinθ

[0073] Z=(R+r)cosθ

[0074] where θ∈[θ1,θ2]

[0075] Step 2: Grinding wheel dressing track segmentation

[0076] like Figure 4 As shown, the single-channel dressing amount is defined as a, and the total dressing amount is a p , then the trimming trajectory is divided into N layers:

[0077] N=a p / a

[0078] Step 3: Compensate for odd-numbered grinding wheel wear and generate odd-numbered dressing tracks

[0079] like Figure 4 As shown in the figure, the trimming trajectory consists of trajectory points with a central angle spacing of Δθ, n represents the n-th layer trajectory and is less than or equal to N, (Y0, Z0) is the starting trajectory point located at the central angle θ1 of f(θ), i represents the i-th point of the odd-layer trajectory with a central angle range of [θ1, θ2], and the central angle of the odd layer increases point by point by Δθ from θ1 to θ2. When n is an odd number, the relationship between the trimming trajectory points of the odd layer after compensation is:

[0080] Y0=(R+r-(n-1)a)sin(θ1)-k((R+r-(n-1)a)cosθ1-(R+r-(n-1)a)cos(θ1))

[0081]

[0082] Y i =(R+r-(n-1)a)sin(θ1+iΔθ)-k((R+r-(n-1)a)cosθ1-(R+r-(n-1)a)cos(θ1+iΔθ))

[0083]

[0084] Step 4: Compensate for even-layer grinding wheel wear and generate even-layer dressing tracks

[0085] The starting point of the even-numbered layer track is at the center angle θ2, and the center angle decreases point by point from θ2 to θ1. When n is an even number, the relationship between the even-numbered layer trimming track points after compensation is:

[0086] Y0=(R+r-(n-1)a)sin(θ2)-k((R+r-(n-1)a)cosθ2+(R+r-(n-1)a)cos(θ2))

[0087]

[0088] Y i =(R+r-(n-1)a)sin(θ2-iΔθ)-k((R+r+(n-1)a)cosθ2-(R+r-(n-1)a)cos(θ2-iΔθ))

[0089]

[0090] 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.

[0091] Step 6: Starting from the starting point of the dressing track, move in sequence at equal angles along the dressing track that is connected end to end and has dressing tool wear compensation to complete the dressing of the grinding wheel. Repeat inspection and dressing until the processing requirements are met.

[0092] In step 6, the reciprocating dressing trajectory motion process with end-to-end connection and compensation for dressing tool wear is specifically as follows:

[0093] like Figure 5 As shown, the dressing tool moves point by point along the compensated CNC trajectory relative to the dressed grinding wheel from the position where the central angle of the first layer is θ1 and is exactly tangent to the dressed wheel to the position where the central angle is θ2, that is, the end of the first layer of dressing trajectory, and then starts from the position where the central angle is θ2 and moves point by point along the compensated CNC trajectory to the position where the central angle is θ1. The subsequent layers are performed point by point in sequence to complete the dressing of the dressed wheel trajectory.

[0094] Example 2

[0095] 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:

[0096] Solve the contour equation and find the contour equation according to the outer contour of the target grinding wheel;

[0097] The splitting module splits the grinding wheel profile into several layers along the grinding wheel entity direction, with two adjacent layers as a group;

[0098] The odd-layer correction trajectory generation module shrinks the odd-layer grinding wheel profile equation toward the grinding wheel entity direction to set a linear value to generate the odd-layer correction trajectory;

[0099] The even-layer correction trajectory generation module shrinks the contour equation of the even-layer grinding wheel toward the grinding wheel entity by a set linear value, transforms and translates it downward, and connects it with the end of the odd-layer dressing trajectory to generate the even-layer dressing trajectory;

[0100] The grinding wheel dressing trajectory forming module combines the odd-numbered layer dressing trajectory and the even-numbered layer dressing trajectory to form a nonlinear mixed and alternating direction grinding wheel dressing trajectory;

[0101] The grinding wheel dressing module starts from the starting point of the dressing track and divides the dressing track into several points at equal angles. The dressing tool moves along the track in sequence to dress the grinding wheel until the grinding wheel profile accuracy and roundness meet the requirements of ultra-precision machining.

[0102] Example 3

[0103] The present invention provides a computer-readable storage medium, which stores a computer program. When the computer program is executed by a processor, the computer program implements the steps of the arc grinding wheel dressing trajectory planning method based on dressing tool wear compensation.

[0104] Those skilled in the art will appreciate that the embodiments of the present application can be provided as methods, systems, or computer program products. Therefore, the present application can adopt the form of a complete hardware embodiment, a complete software embodiment, or an embodiment in combination with software and hardware. Moreover, the present application can adopt the form of a computer program product implemented on one or more computer-usable storage media (including but not limited to magnetic disk storage, CD-ROM, optical storage, etc.) that contain computer-usable program code.

[0105] 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 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 produce 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 boxes.

[0106] These computer program instructions may also be stored in a computer readable memory that can direct a computer or other programmable data processing device to work 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 The function specified in one or more boxes.

[0107] These computer program instructions can also be loaded onto a computer or other programmable data processing device so that a series of operational steps are executed on the computer or other programmable device to produce a computer-implemented process, thereby providing the instructions executed on the computer or other programmable device for implementing the process. Figure 1 a process or multiple processes and / or boxes Figure 1 A step that specifies a function in one or more boxes.

[0108] The invention points for pre-protection of the present invention are:

[0109] 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 the dressed wheel.

[0110] 2. By controlling the wear of the dressed wheel to be uniform everywhere, high-precision dressing of the cross-section surface is achieved.

[0111] 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 that the present invention can be implemented in other specific forms without departing from the spirit or essential characteristics of the present invention. Therefore, from all points of view, the embodiments should be regarded as illustrative and non-restrictive. The scope of the present invention is defined by the appended claims rather than the above description, and it is intended that all changes that fall within the meaning and range of equivalents of the claims are included in the present invention. Any reference signs in the claims should not be construed as limiting the claim to which they relate.

[0112] In addition, it should be understood that although this specification describes the embodiments, not every embodiment contains only one independent technical solution. This description is for clarity only. Those skilled in the art should consider the specification as a whole. The technical solutions in each embodiment can also be appropriately combined to form other embodiments that can be understood by those skilled in the art. The above content is only for the purpose of illustrating the technical concept of the present invention and cannot be used to limit the scope of protection of the present invention. Any changes made based on the technical solution in accordance with the technical concept proposed by the present invention fall within the scope of protection of the claims of the present invention.

Claims

1. A circular grinding wheel dressing trajectory planning method based on dressing tool wear compensation is 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 for 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 odd-numbered dressing trajectory to generate the even-numbered dressing trajectory; The odd-numbered layer dressing trajectory and the even-numbered layer dressing trajectory are combined to form a nonlinear mixed and direction-alternating 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, characterized in that: 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: 。 3. The arc grinding wheel dressing trajectory planning method based on dressing tool wear compensation according to claim 2, characterized in that: The grinding wheel profile is divided into several layers along the grinding wheel entity direction, with two adjacent layers as a group, including: Define the single-channel trimming 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-layer grinding wheel contour equation is contracted to set a linear value in the direction of the grinding wheel entity to generate the odd-layer correction trajectory, including: The trimming trajectory is made from the center angle spacing of The trajectory points are composed of Representative Layer track and less than or equal to , ( ) is located in The central angle is The starting trajectory point at Represents the range of the central angle of the circle within [ ] 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 layers after compensation is: 。 5. The arc grinding wheel dressing trajectory planning method based on dressing tool wear compensation according to claim 4, 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 layer after compensation is: 。 6. The arc grinding wheel dressing trajectory planning method based on dressing tool wear compensation according to claim 5, characterized in that: Starting from the starting point of the dressing track, the grinding wheel is dressed by moving in sequence at equal angles along the dressing track that is connected end to end and has dressing tool wear compensation, 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 position where the central angle is At the end of the first layer of trimming track, start from the center angle of At this point, the CNC track with compensation moves point by point until the central angle is At the point, 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: Solve the contour equation and find the contour equation according to the outer contour of the target grinding wheel; The splitting module splits the grinding wheel profile into several layers along the grinding wheel entity direction, with two adjacent layers as a group; The odd-layer correction trajectory generation module shrinks the odd-layer grinding wheel profile equation toward the grinding wheel entity direction to set a linear value to generate the odd-layer correction trajectory; The even-layer correction trajectory generation module shrinks the contour equation of the even-layer grinding wheel toward the grinding wheel entity by a set linear value, transforms and translates it downward, and connects it with the end of the odd-layer dressing trajectory to generate the even-layer dressing trajectory; The grinding wheel dressing trajectory forming module combines the odd-numbered layer dressing trajectory and 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 track and divides the dressing track into several points at equal angles. The dressing tool moves along the track 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, with two adjacent layers as a group, including: Define the single-channel trimming 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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