Grinding simulation method based on random distribution of polyhedral abrasive grains on surface of grinding wheel

By using a grinding simulation method based on the random distribution of polyhedral abrasive grains on the grinding wheel surface, the matrix and initial abrasive grain model of the grinding wheel are generated. Multiple cutting operations are performed to form the target abrasive grain model and then simulated. This solves the problem of low modeling accuracy of the grinding wheel and achieves more accurate grinding simulation and precision grinding.

CN122113291APending Publication Date: 2026-05-29NORTHWESTERN POLYTECHNICAL UNIV

Patent Information

Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
NORTHWESTERN POLYTECHNICAL UNIV
Filing Date
2025-12-09
Publication Date
2026-05-29

AI Technical Summary

Technical Problem

The low modeling accuracy of grinding wheels in existing technologies leads to inaccurate grinding simulations, which cannot meet the requirements for precision grinding of diesel engine parts.

Method used

A grinding simulation method based on the random distribution of polyhedral abrasive grains on the grinding wheel surface is adopted. By generating the base model and initial abrasive grain model of the grinding wheel, multiple cutting operations are performed to generate the target abrasive grain model. The simulation model is formed by combining the distribution characteristics and then input into finite element analysis software for simulation.

Benefits of technology

The accuracy of grinding wheel simulation has been improved, enabling more accurate prediction of the impact of grinding process parameters on the machining quality of diesel engine parts, thus meeting the requirements of precision grinding.

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Abstract

The disclosure provides a grinding simulation method based on random distribution of polyhedral abrasive grains on a grinding wheel surface, and relates to the technical field of grinding processing. The grinding simulation method based on random distribution of polyhedral abrasive grains on a grinding wheel surface comprises the following steps: generating a base model of a grinding wheel and an initial abrasive grain model corresponding to the grinding wheel according to characteristics of the grinding wheel; performing multiple cutting operations on the initial abrasive grain model to generate multiple target abrasive grain models; determining distribution characteristics of each target abrasive grain model on the base model; combining each target abrasive grain model with the base model based on the distribution characteristics to serve as a geometric model of the grinding wheel; and inputting the geometric model of the grinding wheel into finite element analysis software to perform grinding simulation on a workpiece to be processed. The grinding simulation can be performed with high precision.
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Description

Technical Field

[0001] This disclosure relates to the field of grinding simulation technology, and more specifically, to a grinding simulation method based on the random distribution of polyhedral abrasive grains on the surface of a grinding wheel. Background Technology

[0002] Accurate simulation of grinding wheels is crucial for achieving precision grinding of key diesel engine components. With increasingly stringent manufacturing requirements for diesel engines, high-precision modeling and simulation of grinding wheels are necessary to accurately predict the impact of grinding process parameters on the machining quality of diesel engine parts.

[0003] However, current simulation modeling mainly relies on simplified geometric models, which indicates that the current grinding wheel modeling process has low accuracy.

[0004] It should be noted that the information disclosed in the background section above is only used to enhance the understanding of the background of this disclosure, and therefore may include information that does not constitute prior art known to those skilled in the art. Summary of the Invention

[0005] The purpose of this disclosure is to provide a grinding simulation method based on the random distribution of polyhedral abrasive grains on the surface of a grinding wheel, thereby overcoming, at least to some extent, the problem of low accuracy in obtaining grinding wheel simulation results.

[0006] According to a first aspect of this disclosure, a grinding simulation method based on the random distribution of polyhedral abrasive grains on the surface of a grinding wheel is provided, comprising: generating a base model of the grinding wheel and an initial abrasive grain model corresponding to the grinding wheel based on the property characteristics of the grinding wheel; performing multiple cutting operations on the initial abrasive grain model to generate multiple target abrasive grain models; determining the distribution characteristics of each target abrasive grain model on the base model; combining each target abrasive grain model with the base model based on the distribution characteristics to form a simulation model of the grinding wheel; and inputting the simulation model into finite element analysis software to simulate the grinding wheel.

[0007] Optionally, performing multiple cutting operations on the initial abrasive model to generate multiple target abrasive models, the process of generating each target abrasive model includes: constructing a sphere inside the initial abrasive model, the sphere being concentric with the initial abrasive model; determining one or more target points on the surface of the sphere; determining the external tangent plane corresponding to each target point; and generating the target abrasive model based on the initial abrasive model, the external tangent plane, and the outer surface of the grinding wheel.

[0008] Optionally, determining one or more target points on the surface of the sphere includes: generating one or more three-dimensional vectors; wherein the starting point of the three-dimensional vector is the center of the sphere, the three components of the three-dimensional vector are independent of each other, and the three components all follow a standard normal distribution; and determining the projection of the ending point of the three-dimensional vector onto the surface of the sphere as one or more target points.

[0009] Optionally, generating a target abrasive model based on an initial abrasive model, an external tangent plane, and the outer surface of a grinding wheel includes: cutting the initial abrasive model based on the external tangent plane to obtain multiple model cutting blocks, and using the model cutting blocks containing spheres as intermediate abrasive models; performing Boolean operations between the outer surface of the grinding wheel and the intermediate abrasive models to generate the target abrasive model.

[0010] Optionally, the intermediate abrasive model is cut based on the outer curved surface of the grinding wheel to generate the target abrasive model, including: performing Boolean operations on the outer curved surface of the grinding wheel and the intermediate abrasive model to generate the abrasive model.

[0011] Optionally, the distribution characteristics of each target abrasive model on the matrix model are determined, including: determining the unfolded surface corresponding to the outer surface of the matrix model based on the outer surface of the matrix model; and determining the distribution characteristics of each target abrasive model on the matrix model based on the circumferential abrasive distribution characteristics and the axial abrasive distribution characteristics.

[0012] Optionally, the distribution characteristics of each target abrasive model on the matrix model are determined based on the circumferential abrasive distribution characteristics and the axial abrasive distribution characteristics, including: using a uniform distribution to simulate the circumferential abrasive distribution characteristics; using a Gaussian distribution to simulate the axial abrasive distribution characteristics; and combining the circumferential abrasive distribution characteristics and the axial abrasive distribution characteristics to determine the distribution characteristics of each target abrasive model on the matrix model.

[0013] Optionally, after determining the distribution characteristics of each target abrasive model on the substrate model, the grinding simulation method based on the random distribution of polyhedral abrasive grains on the grinding wheel surface further includes: determining the ideal area density of the target abrasive model according to the simulation scenario of the grinding wheel; and determining the number of abrasive grains corresponding to the substrate model based on the area of ​​the unfolded surface and the ideal area density.

[0014] Optionally, after determining the distribution characteristics of each target abrasive model on the substrate model, the grinding simulation method based on the random distribution of polyhedral abrasive grains on the grinding wheel surface further includes: obtaining the number of target abrasive grains set by the user; and generating a set of distribution coordinates of the number of target abrasive grains based on the number of target abrasive grains and their distribution characteristics.

[0015] In some embodiments of this disclosure, the technical solutions involve generating a base model of the grinding wheel and a corresponding initial abrasive model based on the wheel's properties; performing multiple cutting operations on the initial abrasive model to generate multiple target abrasive models; determining the distribution characteristics of each target abrasive model on the base model; combining each target abrasive model with the base model based on the distribution characteristics to form a simulation model of the grinding wheel; and inputting the simulation model into finite element analysis software to simulate the grinding wheel. This disclosure can accurately simulate the grinding wheel. This disclosure uses a polyhedral cutting algorithm to generate the abrasive model, avoiding the shape distortion problem caused by simplified geometric modeling.

[0016] It should be understood that the above general description and the following detailed description are exemplary and explanatory only, and are not intended to limit this disclosure. Attached Figure Description

[0017] The accompanying drawings, which are incorporated in and form part of this specification, illustrate embodiments consistent with this disclosure and, together with the description, serve to explain the principles of this disclosure. It is obvious that the drawings described below are merely some embodiments of this disclosure, and those skilled in the art can obtain other drawings based on these drawings without any inventive effort.

[0018] Figure 1 A flowchart illustrating a grinding simulation method based on the random distribution of polyhedral abrasive grains on a grinding wheel surface, according to an exemplary embodiment of the present disclosure, is shown.

[0019] Figure 2 A schematic diagram of a base model of a grinding wheel according to an exemplary embodiment of the present disclosure is shown.

[0020] Figure 3 A three-dimensional schematic diagram of an abrasive cutting process according to an exemplary embodiment of the present disclosure is shown.

[0021] Figure 4 A two-dimensional schematic diagram of an abrasive cutting process according to an exemplary embodiment of the present disclosure is shown.

[0022] Figure 5 A schematic diagram of the tangent angle of a virtual sphere within an abrasive grain according to an exemplary embodiment of the present disclosure is shown.

[0023] Figure 6 A schematic diagram of polyhedral abrasive grains with different numbers of facets obtained by controlling the number of cuts according to an exemplary embodiment of the present disclosure is shown.

[0024] Figure 7 The diagram schematically illustrates the distribution of abrasive grains on the unfolded surface of a cylinder according to an exemplary embodiment of the present disclosure.

[0025] Figure 8 A diagram illustrating a comparison of the number of abrasive grains generated when two different abrasive grain numbers are input according to an exemplary embodiment of this disclosure is shown.

[0026] Figure 9 The diagram illustrates the effect of the abrasive grains and grinding wheel assembly according to an exemplary embodiment of the present disclosure.

[0027] Figure 10 A simulation diagram of grinding results of a grinding wheel according to an exemplary embodiment of the present disclosure is shown. Detailed Implementation

[0028] Exemplary embodiments will now be described more fully with reference to the accompanying drawings. However, these exemplary embodiments can be implemented in many forms and should not be construed as limited to the examples set forth herein; rather, these embodiments are provided to make this disclosure more comprehensive and complete, and to fully convey the concept of the exemplary embodiments to those skilled in the art. The described features, structures, or characteristics can be combined in any suitable manner in one or more embodiments. In the following description, numerous specific details are provided to give a full understanding of embodiments of this disclosure. However, those skilled in the art will recognize that the technical solutions of this disclosure can be practiced with one or more specific details omitted, or other methods, components, apparatus, steps, etc., can be employed. In other instances, well-known technical solutions are not shown or described in detail to avoid obscuring various aspects of this disclosure.

[0029] Furthermore, the accompanying drawings are merely illustrative of this disclosure and are not necessarily drawn to scale. The same reference numerals in the drawings denote the same or similar parts, and therefore repeated descriptions of them will be omitted. Some block diagrams shown in the drawings are functional entities and do not necessarily correspond to physically or logically independent entities. These functional entities may be implemented in software, in one or more hardware modules or integrated circuits, or in different network and / or processor devices and / or microcontroller devices.

[0030] The flowcharts shown in the accompanying drawings are merely illustrative and do not necessarily include all steps. For example, some steps may be broken down, while others may be combined or partially combined; therefore, the actual execution order may change depending on the specific circumstances. Furthermore, all terms such as "first," "second," and "third" used below are for distinction purposes only and should not be construed as limiting the scope of this disclosure.

[0031] The various steps in the grinding simulation method based on the random distribution of polyhedral abrasive grains on the grinding wheel surface are executed by electronic devices. The embodiments of this disclosure do not limit the type of electronic device, such as a server, personal computer, mobile device, etc.

[0032] Figure 1 A flowchart illustrating a grinding simulation method based on the random distribution of polyhedral abrasive grains on a grinding wheel surface, according to an exemplary embodiment of this disclosure, is shown schematically. Reference Figure 1 The grinding simulation method based on the random distribution of polyhedral abrasive grains on the grinding wheel surface may include the following steps: S10. Generate the base model of the grinding wheel and the corresponding initial abrasive model based on the properties of the grinding wheel.

[0033] In an exemplary embodiment of this disclosure, when simulating a grinding wheel, the properties of the grinding wheel can be determined first, and a matrix model and an initial abrasive model of the grinding wheel can be generated. Figure 2 A schematic diagram of a base model of a grinding wheel according to an exemplary embodiment of the present disclosure is shown. Figure 2 As shown, the size of the grinding wheel's base model can be determined based on the actual application of the grinding wheel. After determining the size of the grinding wheel's base model, a regular hexahedron can be created as the initial abrasive model to reproduce the actual shape of the grinding wheel. The side length of the regular hexahedron is 'a', and the size of the regular hexahedron can be used as the maximum size of the abrasive grains.

[0034] S12. Perform multiple cutting operations on the initial abrasive model to generate multiple target abrasive models.

[0035] According to an exemplary embodiment of this disclosure, the initial abrasive model can be a regular hexahedron with a side length of a, and the size of the regular hexahedron can be used as the maximum size of the abrasive. Figure 3 A three-dimensional schematic diagram of an abrasive cutting process according to an exemplary embodiment of the present disclosure is shown. In the cutting operation of a regular hexahedron, it is necessary to avoid over-cutting. Therefore, a virtual sphere with a diameter of r can be constructed. During the cutting process, the cutting plane will be located outside the virtual sphere.

[0036] by Figure 3 For example, in an initial hexahedral abrasive model containing a virtual sphere, after the first cut by the upper right outer tangent of the virtual sphere, the cut block containing the sphere's center becomes a heptahedron. After this, a second cut can be performed by selecting the right outer tangent of the virtual sphere. For Figure 3 The initial abrasive model can use the result of the first cut as the intermediate abrasive model, or the result of the second cut as the intermediate abrasive model.

[0037] Figure 4 A two-dimensional schematic diagram of an abrasive cutting process according to an exemplary embodiment of the present disclosure is shown. Figure 4 Can be used as Figure 3 Cross-sectional view, Figure 4 The square in the figure represents a cross-section of a regular hexahedron, as shown in the figure. Figure 4 As shown, the virtual sphere is completely inside the regular hexahedron and concentric with it. The circles in the figure represent the cross-section of the virtual sphere. The regular hexahedron substrate in the figure is the initial abrasive model, which underwent five cuts based on the outer tangent of the virtual sphere. In this cross-sectional view, the outer curved surface of the grinding wheel substrate model is represented by the grinding wheel profile.

[0038] According to an exemplary embodiment of the present disclosure, the process of generating each target abrasive model by performing multiple cutting operations on an initial abrasive model to generate multiple target abrasive models may include: constructing a sphere inside the initial abrasive model, the sphere being concentric with the initial abrasive model; determining one or more target points on the surface of the sphere; determining the external tangent plane corresponding to each target point; and generating the target abrasive model based on the initial abrasive model, the external tangent plane, and the outer surface of the grinding wheel.

[0039] First, determine one or more target points. These target points can be uniform or quasi-uniform. Generate N target points P. i The process may include: generating N three-dimensional vectors, with the starting point of the three-dimensional vectors being the center of the sphere, and the three components of the three-dimensional vectors being independent of each other, all three components following a standard normal distribution; and determining the projections of the endpoints of the N three-dimensional vectors onto the surface of the sphere as N target points.

[0040] Next, based on each point P i Define an external tangent plane as follows:

[0041] like Figure 5 As shown, θ i This is the azimuth angle, which is the angle projected onto the point from the positive X-axis in the xy-plane. This is the polar angle, which is the angle between the lines drawn downwards from the positive Z-axis to that point. Each externally tangent plane... From the center of the ball to point P i The vector, taken as the normal vector, can be represented as:

[0042] According to an exemplary embodiment of the present disclosure, the process of generating a target abrasive model based on an initial abrasive model, an external tangent plane, and the outer surface of a grinding wheel may include: cutting the initial abrasive model based on the external tangent plane to obtain multiple model cutting blocks, and using the model cutting blocks containing spheres as intermediate abrasive models; performing Boolean operations on the outer surface of the grinding wheel and the intermediate abrasive models to generate the target abrasive model.

[0043] After sequentially cutting the initial abrasive model along these planes, multiple model cut blocks can be obtained. The model cut block containing the center of the virtual sphere is selected as the intermediate abrasive model to form irregular intermediate abrasive models with different shapes and controlled dimensions, represented as follows:

[0044] According to an exemplary embodiment of this disclosure, Boolean operations are used to achieve geometric integration between the intermediate abrasive model and the grinding wheel substrate. Specifically, the grinding wheel substrate model is set as a tool object for Boolean operations, and a difference operation is performed on the intermediate abrasive model. This operation automatically removes the portions of the intermediate abrasive model that interfere with the grinding wheel substrate, thereby directly generating a target abrasive model that precisely matches the geometric contour of the grinding wheel.

[0045] After the cutting process is completed, irregular polyhedral abrasive grains with different shapes and controlled sizes can be obtained as target abrasive grain models. Figure 6 The diagram shows N-sided abrasive particles with N=8 to N=19 established according to this method. The overall outline of the target abrasive particle model does not exceed the maximum size boundary and meets the standard abrasive particle distribution range. By controlling the number of cuts, it can be cut into polyhedra with different numbers of faces.

[0046] S14. Determine the distribution characteristics of each target abrasive particle model on the matrix model.

[0047] According to an exemplary embodiment of the present disclosure, the process of determining the distribution characteristics of each target abrasive model on the matrix model may include: determining the unfolded surface corresponding to the outer surface of the matrix model; replacing the circumferential abrasive distribution characteristics of the outer surface with the transverse abrasive distribution characteristics of the unfolded surface; replacing the axial abrasive distribution characteristics of the outer surface with the longitudinal abrasive distribution characteristics of the unfolded surface; and determining the distribution characteristics of each target abrasive model on the matrix model based on the circumferential abrasive distribution characteristics and the axial abrasive distribution characteristics.

[0048] According to exemplary embodiments of the present disclosure, the process of determining the distribution characteristics of each target abrasive model on the matrix model based on the circumferential abrasive distribution characteristics and the axial abrasive distribution characteristics may include: simulating the circumferential abrasive distribution characteristics using a uniform distribution; simulating the axial abrasive distribution characteristics using a Gaussian distribution; and combining the circumferential abrasive distribution characteristics and the axial abrasive distribution characteristics to determine the distribution characteristics of each target abrasive model on the matrix model.

[0049] To simulate the natural aggregation and dispersion of target abrasive grains on the substrate model of the grinding wheel, the following coordinate generation methods are used to realize the natural arrangement of abrasive grains on the cylindrical surface: a uniform distribution can be used to simulate the circumferential angle distribution, and a Gaussian distribution can be used to simulate the height distribution. The uniform and Gaussian distributions are represented as follows:

[0050] Where, μ h The distribution center in the height direction is μ h σ is half the height. hThe standard deviation can be used to control the density in the vertical direction.

[0051] According to an exemplary embodiment of the present disclosure, after determining the distribution characteristics of each target abrasive model on the substrate model, the grinding simulation method based on the random distribution of polyhedral abrasive grains on the grinding wheel surface may further include: determining the ideal area density of the target abrasive model according to the simulation scenario of the grinding wheel; and determining the number of abrasive grains corresponding to the substrate model based on the area of ​​the unfolded surface and the ideal area density.

[0052] Figure 7 This is a schematic diagram of the abrasive grain distribution on the unfolded surface of the grinding wheel's matrix model. The formula controlling the number of abrasive grains is expressed as:

[0053] Here, N is the calculated N estimated based on area density, where d is the average abrasive grain size, V is the target volume, and S is the area of ​​the developed cylindrical surface of the grinding wheel. The formula for calculating the area of ​​the developed cylindrical surface of the grinding wheel is S=2πrR0H, where R0 is the radius of the grinding wheel and H is the height of the grinding wheel.

[0054] According to an exemplary embodiment of the present disclosure, after determining the distribution characteristics of each target abrasive model on the substrate model, the grinding simulation method based on the random distribution of polyhedral abrasive grains on the grinding wheel surface may further include: determining the ideal area density of the target abrasive model according to the simulation scenario of the grinding wheel; and determining the number of abrasive grains corresponding to the substrate model based on the area of ​​the unfolded surface and the ideal area density.

[0055] In exemplary embodiments of this disclosure, when the simulation scenario of the grinding wheel aims to obtain a high-precision, smooth surface and maintain the shape of the grinding wheel, a grinding wheel with a higher abrasive grain area density should be selected; when the simulation scenario of the grinding wheel aims to efficiently remove a large amount of material and avoid workpiece burning, a grinding wheel with a lower abrasive grain area density should be selected. After determining the simulation scenario of the grinding wheel, the ideal area density of the target abrasive grain model can be determined according to the grinding process of the grinding wheel, and then the number of abrasive grains corresponding to the base model can be determined according to the ideal area density and the area of ​​the surface development of the grinding wheel.

[0056] According to an exemplary embodiment of the present disclosure, after determining the distribution characteristics of each target abrasive model on the substrate model, the grinding simulation method based on the random distribution of polyhedral abrasive grains on the grinding wheel surface may further include: obtaining the number of target abrasive grains set by the user; and generating a set of distribution coordinates of the number of target abrasive grains based on the number of target abrasive grains and the distribution characteristics.

[0057] To accommodate the stringent constraints on the number of abrasive grains required in specific scenarios, this disclosure also allows users to directly input the desired number of abrasive grains N, based on a user-defined abrasive grain generation strategy. The system then automatically generates a set of distribution coordinates that satisfy the distribution characteristics and physical conditions. Through manual control, the number of abrasive grains can be directly input to generate the abrasive grains, such as... Figure 8 As shown. Figure 8 A diagram illustrating a comparison of the number of abrasive grains generated when two different abrasive grain numbers are input according to an exemplary embodiment of this disclosure is provided. Figure 8 In the diagram, the lower left figure shows a schematic diagram of abrasive grain distribution with higher density, the lower right figure shows a schematic diagram of abrasive grain distribution with lower density, and the upper left and upper right figures show the planar unfolded diagrams of the distribution of the outer curved surface of the grinding wheel when the density is higher and lower, respectively. Since this disclosure can generate a set of distribution coordinates that satisfy the distribution characteristics and physical conditions based on the user-input abrasive grain quantity N, it can also perform comparative simulations of the influence of different quantities of abrasive grains on grinding.

[0058] S16. Based on the distribution characteristics, the model of each target abrasive particle is combined with the matrix model to form a simulation model of the grinding wheel.

[0059] According to exemplary embodiments of this disclosure, by combining the target abrasive particle models with the matrix model based on distribution characteristics, a grinding wheel simulation model can be assembled. Figure 9 The diagram schematically illustrates the assembly effect of the abrasive grains and grinding wheel, along with detailed images.

[0060] S18. Input the simulation model into the finite element analysis software to simulate the grinding wheel.

[0061] According to an exemplary embodiment of this disclosure, after establishing a simulation model of the grinding wheel, the simulation model can be input into Abaqus software for simulation. By setting material properties, analysis steps, contact and boundary conditions, and meshing, the grinding process of the grinding wheel is simulated. The simulation results are as follows: Figure 10 As shown in the figure, the blue grid represents the original stress distribution at the unground area, while the green area represents the residual stress distribution at the ground area. The legend explains Mises stress (S, Mises), an equivalent stress commonly used to evaluate the yield behavior of materials under multiaxial stress. It integrates stress components from all directions and is suitable for strength analysis of tough materials. The currently displayed result is a nodal average, and Abaqus software uses a 75% weighted average rule. That is, for multiple elements sharing the same node, after calculating the stress value of these elements at that node, Abaqus software can smooth it by using 75% element value + 25% interpolation of adjacent nodes to balance local stress concentrations or abrupt changes. This processing method can retain a certain gradient variation and avoid excessive smoothing that leads to loss of detail.

[0062] It should be noted that although the steps of the method in this disclosure are described in a specific order in the accompanying drawings, this does not require or imply that the steps must be performed in that specific order, or that all the steps shown must be performed to achieve the desired result. Additional or alternative steps may be omitted, multiple steps may be combined into one step, and / or a step may be broken down into multiple steps.

[0063] Other embodiments of this disclosure will readily occur to those skilled in the art upon consideration of the specification and practice of the invention disclosed herein. This application is intended to cover any variations, uses, or adaptations of this disclosure that follow the general principles of this disclosure and include common knowledge or customary techniques in the art not disclosed herein. The specification and embodiments are to be considered exemplary only, and the true scope and spirit of this disclosure are indicated by the claims.

[0064] It should be understood that this disclosure is not limited to the precise structures described above and shown in the accompanying drawings, and various modifications and changes can be made without departing from its scope. The scope of this disclosure is limited only by the appended claims.

Claims

1. A grinding simulation method based on the random distribution of polyhedral abrasive grains on the surface of a grinding wheel, characterized in that, include: Generate the base model of the grinding wheel and the corresponding initial abrasive model based on the characteristics of the grinding wheel; Multiple cutting operations are performed on the initial abrasive model to generate multiple target abrasive models; Determine the distribution characteristics of each target abrasive particle model on the matrix model; Based on the distribution characteristics, each target abrasive grain model is combined with the matrix model to form the geometric model of the grinding wheel; The grinding wheel geometry model is input into finite element analysis software to perform grinding simulation on the workpiece to be processed.

2. The grinding simulation method based on the random distribution of polyhedral abrasive grains on the grinding wheel surface according to claim 1, characterized in that, The process of generating each of the target abrasive models by performing multiple cutting operations on the initial abrasive model includes: Construct a sphere inside the initial abrasive model, wherein the sphere is concentric with the initial abrasive model; Determine one or more target points on the surface of the sphere; Determine the external tangent plane corresponding to each target point; The target abrasive model is generated based on the initial abrasive model and the external tangent plane.

3. The grinding simulation method based on the random distribution of polyhedral abrasive grains on the grinding wheel surface according to claim 2, characterized in that, Determining one or more target points on the surface of the sphere includes: Generate one or more three-dimensional vectors; wherein the starting point of the three-dimensional vector is the center of a sphere, the three components of the three-dimensional vector are independent of each other, and the three components all follow a standard normal distribution; The projection of the endpoint of the three-dimensional vector onto the surface of the sphere is determined as one or more target points.

4. The grinding simulation method based on the random distribution of polyhedral abrasive grains on the grinding wheel surface according to claim 2, characterized in that, The target abrasive model is generated based on the initial abrasive model, the external tangent plane, and the outer curved surface of the grinding wheel, including: The initial abrasive model is cut based on the external tangent plane to obtain multiple model cutting blocks. The model cutting block containing the sphere is used as the intermediate abrasive model. Boolean operations are performed on the outer curved surface of the grinding wheel and the intermediate abrasive model to generate the target abrasive model.

5. The grinding simulation method based on the random distribution of polyhedral abrasive grains on the grinding wheel surface according to claim 4, characterized in that, Boolean operations are performed on the outer curved surface of the grinding wheel and the intermediate abrasive model to generate the target abrasive model, including: Boolean operations are performed on the outer curved surface of the grinding wheel and the intermediate abrasive model to generate a curved abrasive model; 6. The grinding simulation method based on the random distribution of polyhedral abrasive grains on the grinding wheel surface according to claim 5, characterized in that, The center of the sphere corresponding to the intermediate abrasive model is located inside the target abrasive model.

7. The grinding simulation method based on the random distribution of polyhedral abrasive grains on the grinding wheel surface according to claim 1, characterized in that, Determining the distribution characteristics of each target abrasive particle model on the matrix model includes: The unfolded surface corresponding to the outer surface is determined based on the outer surface of the base model; The distribution characteristics of each target abrasive model on the matrix model are determined based on the circumferential and axial abrasive distribution characteristics.

8. The grinding simulation method based on the random distribution of polyhedral abrasive grains on the grinding wheel surface according to claim 7, characterized in that, Based on the circumferential and axial abrasive grain distribution characteristics, the distribution characteristics of each target abrasive grain model on the matrix model are determined, including: The circumferential abrasive grain distribution characteristics are described using a uniform distribution. The axial wear particle distribution characteristics are described using a Gaussian distribution. The circumferential abrasive grain distribution characteristics and the axial abrasive grain distribution characteristics are combined to determine the distribution characteristics of each target abrasive grain model on the matrix model.

9. The grinding simulation method based on the random distribution of polyhedral abrasive grains on the surface of a grinding wheel according to claim 8, characterized in that, After determining the distribution characteristics of each target abrasive grain model on the substrate model, the grinding simulation method based on the random distribution of polyhedral abrasive grains on the grinding wheel surface further includes: The ideal area density of the target abrasive particle model is determined based on the simulation scenario of the grinding wheel; The number of abrasive grains corresponding to the matrix model is determined based on the area of ​​the unfolded surface and the ideal area density.

10. The grinding simulation method based on the random distribution of polyhedral abrasive grains on the grinding wheel surface according to claim 8, characterized in that, After determining the distribution characteristics of each target abrasive grain model on the substrate model, the grinding simulation method based on the random distribution of polyhedral abrasive grains on the grinding wheel surface further includes: Obtain the target number of abrasive grains set by the user; Based on the number of target abrasive grains and the distribution characteristics, a set of distribution coordinates of the target abrasive grains is generated.