Vertical shaft plane grinding wheel characteristic measuring device and dynamic abrasive grain analysis method
By measuring and analyzing the macroscopic and microscopic structural characteristics of the grinding wheel in vertical spindle surface grinding, a three-dimensional digital model was established, solving the problem of dynamic abrasive analysis in vertical spindle surface grinding and realizing accurate simulation and theoretical modeling of the grinding process.
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- 湖南工商大学
- Filing Date
- 2022-11-29
- Publication Date
- 2026-07-07
AI Technical Summary
Existing technologies lack effective methods for analyzing dynamic abrasive particles during vertical spindle surface grinding, as well as for studying their effects on grinding force and grinding temperature.
By designing a grinding wheel feature measurement device and a dynamic abrasive analysis method for vertical axis surface grinding, the macro- and micro-structural features of the grinding wheel surface are measured using a profile measuring instrument, a three-dimensional digital model is established, grinding simulation is performed, dynamic abrasive particles are identified and spatial reconstruction is carried out, and the abrasive particle density and probability are statistically analyzed.
It enables precise analysis of the dynamic abrasive grain distribution and probability on the grinding wheel surface during vertical shaft plane grinding, providing theoretical guidance and experimental support for theoretical modeling of grinding force, grinding temperature and workpiece surface morphology.
Smart Images

Figure CN116000720B_ABST
Abstract
Description
Technical Field
[0001] This invention relates to the field of mechanical parts processing technology, and in particular to the measurement technology of the macro- and micro-structural features of the grinding wheel surface during vertical spindle surface grinding, as well as the dynamic abrasive distribution analysis and dynamic abrasive probability solution technology. Background Technology
[0002] Vertical spindle surface grinding is a high-efficiency and high-quality machining technology that uses the abrasive grains on the end face of the grinding wheel as the cutting edge to remove material from the workpiece.
[0003] A typical vertical spindle surface grinder consists of a vertical spindle, a cup-shaped grinding wheel, and a reciprocating table (or workpiece). During machining, the depth of grinding is constant, the workpiece moves horizontally relative to the grinding wheel, creating a large grinding zone where the abrasive grains interfere with the workpiece to remove material. Due to its unique machine tool configuration and complex wheel-workpiece interaction mechanism, vertical spindle surface grinding can adapt to various machining tasks, including heavy-duty grinding for high productivity and ultra-precision grinding for ultra-smooth surfaces.
[0004] Dynamic abrasive analysis of the grinding wheel surface in the grinding zone is the premise and foundation for studying the interference state between abrasive grains and workpieces, grinding force, grinding temperature, etc. However, the industry still lacks effective methods for analyzing dynamic abrasive grains during vertical spindle surface grinding.
[0005] Studies have shown that the macroscopic envelope profile and microscopic surface morphology (grinding wheel topography) of the abrasive layer of the cup-shaped grinding wheel have a significant impact on the interference state between the abrasive grains and the workpiece in the grinding zone during vertical spindle grinding. Therefore, based on the macroscopic and microscopic structural characteristics of the cup-shaped grinding wheel surface, a dynamic abrasive grain analysis method is proposed, which has important theoretical significance and engineering value. Summary of the Invention
[0006] To address the aforementioned technical problems, this invention proposes a grinding wheel feature measurement device and a dynamic abrasive analysis method for vertical spindle surface grinding. This invention can measure the macroscopic and microscopic structural features of the grinding wheel surface (including the macroscopic envelope contour and microscopic surface morphology features of the abrasive layer) during vertical spindle surface grinding, and can solve for the dynamic abrasive distribution and dynamic abrasive probability based on the measured macroscopic and microscopic structural features of the grinding wheel surface and grinding process parameters.
[0007] The objective of this invention is achieved through the following technical solution:
[0008] This invention provides a grinding wheel feature measuring device for vertical spindle surface grinding, comprising:
[0009] Vertical grinding machine spindle, grinding wheel, profile measuring instrument, and vertical grinding machine worktable;
[0010] The grinding wheel can rotate with the spindle of the vertical grinding machine at a set speed; the profile measuring instrument is fixed on the worktable of the vertical grinding machine and is used to measure the macro- and micro-structural features of the surface of the grinding wheel.
[0011] A grinding wheel consists of a grinding wheel base and a grinding wheel abrasive layer. The grinding wheel abrasive layer is bonded to the outside of the grinding wheel base, and the grinding wheel contacts the workpiece to grind it.
[0012] This invention also provides a method for dynamic abrasive grain analysis of grinding wheels in vertical spindle surface grinding, which is applied to the aforementioned grinding wheel feature measurement device in vertical spindle surface grinding. The analysis method includes:
[0013] Step S01: Turn on the vertical grinder and adjust the grinding wheel to be within the measuring range of the profile measuring instrument 3;
[0014] Step S02: Start the vertical grinding machine spindle to drive the grinding wheel to rotate, turn on the profile measuring instrument to measure the macroscopic envelope profile and microscopic surface morphology of the abrasive layer of the grinding wheel, and stop the measurement immediately after the grinding wheel has rotated one revolution;
[0015] Step S03: Perform a spatial reconstruction based on the macro- and micro-structural features of the abrasive layer of the grinding wheel obtained by the profile measuring instrument, and establish a first three-dimensional digital model of the grinding wheel surface that reflects the macro- and micro-structural features of the grinding wheel surface based on the spatial reconstruction results.
[0016] Step S04: Use the three-dimensional digital model of the first grinding wheel surface to conduct a vertical axis plane grinding simulation experiment on the workpiece. During the grinding simulation experiment, make the simulated grinding experiment parameters the same as the actual grinding process parameters.
[0017] Step S05: During the grinding simulation experiment, dynamic and non-dynamic abrasive grains are determined based on the contact state between the abrasive grains and the workpiece in the grinding zone. If the abrasive grains come into contact with the workpiece, they are identified as dynamic abrasive grains, and the corresponding workpiece material in the area where the dynamic abrasive grains interfere with the workpieces is removed. If the abrasive grains do not come into contact with the workpieces, they are identified as non-dynamic abrasive grains, and the corresponding workpiece material is not removed.
[0018] Step S06: Based on the discrimination result of dynamic abrasive particles on the grinding wheel surface, on the basis of the first three-dimensional digital model of the grinding wheel surface, a secondary spatial reconstruction of the macroscopic and microscopic structural features of the grinding wheel surface is performed to filter out the structural features of non-dynamic abrasive particles, and a second three-dimensional digital model of the grinding wheel surface reflecting the macroscopic envelope surface and microscopic dynamic abrasive particle structural features after filtering out the structural features of non-dynamic abrasive particles is obtained.
[0019] Step S07: Discretize the three-dimensional digital model of the first grinding wheel surface, count the number of abrasive grains in each micro-element of the grinding area after discretization, and divide it by the area of the macroscopic envelope surface of the grinding wheel corresponding to the micro-element to obtain the abrasive grain density of each micro-element.
[0020] Step S08: Discretize the three-dimensional digital model of the second grinding wheel surface, count the number of dynamic abrasive grains in each micro-element of the grinding zone after discretization, and divide it by the area of the macroscopic envelope surface of the grinding wheel corresponding to the micro-element to obtain the dynamic abrasive grain density of each micro-element.
[0021] Step S09: Divide the number of dynamic abrasive grains of each micro-element after discretization of the three-dimensional digital model of the second grinding wheel surface obtained in step S08 by the number of abrasive grains of the corresponding micro-element after discretization of the three-dimensional digital model of the first grinding wheel surface obtained in step S07, and multiply by 100% to obtain the probability of dynamic abrasive grains of each micro-element on the grinding wheel surface.
[0022] More preferably, the analysis method further includes:
[0023] Step S07 further includes: using the radial position of the micro-element and the abrasive density of the micro-element as the abscissa and ordinate respectively, obtaining the abrasive density distribution map of the grinding zone along the radial direction of the grinding wheel corresponding to the discrete state of the three-dimensional digital model of the first grinding wheel surface;
[0024] Step S08 further includes: using the radial position of the micro-element and the dynamic abrasive density of the micro-element as the abscissa and ordinate as the ordinate, respectively, to obtain the distribution map of the dynamic abrasive density of the grinding zone along the radial direction of the grinding wheel corresponding to the discrete state of the three-dimensional digital model of the second grinding wheel surface;
[0025] Step S09 further includes: based on the probability of dynamic abrasive grains of each micro-element on the grinding wheel surface, using the radial position of the micro-element and the probability of dynamic abrasive grains of the micro-element as the abscissa and ordinate respectively, to obtain the distribution map of the probability of dynamic abrasive grains on the grinding wheel surface in the grinding zone along the radial direction of the grinding wheel.
[0026] As can be seen from the above technical solution of the present invention, the present invention has the following technical effects:
[0027] The present invention provides a grinding wheel feature measuring device for vertical spindle surface grinding, which realizes the simultaneous measurement of the macroscopic and microscopic structural features of the grinding wheel surface (including the macroscopic envelope contour of the abrasive layer and the microscopic surface morphology features) through a contour measuring instrument fixed on the worktable of the vertical grinding machine.
[0028] This invention discloses a method for analyzing dynamic abrasive grains in vertical spindle surface grinding. The method involves: firstly reconstructing the macro- and micro-structural features of the grinding wheel surface using data obtained from a measuring device to obtain a first three-dimensional digital model of the grinding wheel surface; simulating the abrasive grain movement trajectory based on the first three-dimensional digital model and grinding process parameters; determining the dynamic abrasive grains on the grinding wheel surface based on the state analysis of whether interference occurs between the abrasive grains and the workpiece; filtering out the geometric features of non-dynamic abrasive grains and then performing a second spatial reconstruction of the macro- and micro-structural features of the grinding wheel surface after filtering out the geometric features of non-dynamic abrasive grains to obtain a second three-dimensional digital model of the grinding wheel surface; discretizing both the first and second three-dimensional digital models of the grinding wheel surface; analyzing each discretized micro-element; and establishing the correlation between the dynamic abrasive grain distribution and probability and the macro- and micro-structural features of the grinding wheel surface and grinding process parameters based on the analysis results, thereby solving for the dynamic abrasive grain distribution and probability of the grinding wheel surface under different grinding conditions.
[0029] This invention can provide theoretical guidance and experimental support for the analysis of abrasive grain-workpiece mechanism during vertical spindle grinding, as well as for the theoretical modeling of grinding force, grinding temperature, and the surface morphology of the workpiece after grinding. Attached Figure Description
[0030] Figure 1 A schematic diagram illustrating the working principle of a grinding wheel feature measuring device in vertical spindle surface grinding provided by the present invention;
[0031] Figure 2 This is a flowchart illustrating the implementation of the dynamic abrasive grain analysis method for grinding wheels in vertical shaft surface grinding according to the present invention.
[0032] Figure 3 This is the first three-dimensional digital model of the grinding wheel surface obtained after a spatial reconstruction in this invention, reflecting the macro- and micro-structural features of the grinding wheel surface;
[0033] Figure 4 This is a simulation experiment of vertical shaft surface grinding in this invention;
[0034] Figure 5 This is a schematic diagram of the interference state between the abrasive grains on the grinding wheel surface and the workpiece in this invention;
[0035] Figure 6 This is a second three-dimensional digital model of the grinding wheel surface, reflecting the macroscopic envelope surface and microscopic dynamic abrasive structure characteristics of the grinding wheel surface after secondary spatial reconstruction.
[0036] Figure 7 A schematic diagram illustrating the working principle of discretization of the abrasive layer in a grinding wheel;
[0037] Figure 8The image shows the radial distribution of abrasive grain density in the grinding zone of the first grinding wheel surface under discrete state of a three-dimensional digital model of the grinding wheel surface.
[0038] Figure 9 The dynamic abrasive density distribution along the radial direction of the grinding wheel in the grinding zone of the three-dimensional digital model of the second grinding wheel surface under discrete state;
[0039] Figure 10 This is a diagram showing the dynamic abrasive grain probability distribution along the radial direction of the grinding wheel surface in the grinding zone.
[0040] Explanation of reference numerals in the attached figures:
[0041] Vertical grinding machine spindle 1, grinding wheel 2, profile measuring instrument 3, vertical grinding machine worktable 4; grinding wheel base 21, grinding wheel abrasive layer 22. Detailed Implementation
[0042] The present invention will now be described in detail with reference to the accompanying drawings and embodiments.
[0043] Example 1:
[0044] This invention proposes a grinding wheel feature measuring device for vertical spindle surface grinding, the structure of which is as follows: Figure 1 As shown, it consists of a vertical grinding machine spindle 1, a grinding wheel 2 (composed of a grinding wheel base 21 and a grinding wheel abrasive layer 22), a profile measuring instrument 3, and a vertical grinding machine worktable 4. n s1 The rotational speed of the vertical grinding machine spindle 1 or grinding wheel 2.
[0045] The connection or positional relationship between the above components is as follows:
[0046] The grinding wheel 2 can be a cup-shaped grinding wheel. The grinding wheel 2 rotates with the vertical grinding machine spindle 1 at a set speed. The profile measuring instrument 3 is fixed on the vertical grinding machine worktable 4; the profile measuring instrument 3 is an ultra-high-speed profile measuring instrument. The relative position of the grinding wheel 2 and the profile measuring instrument 3 is adjusted by moving the vertical grinding machine spindle 1 and the vertical grinding machine worktable 4. The grinding wheel 2 consists of a grinding wheel base 21 and a grinding wheel abrasive layer 22. The grinding wheel abrasive layer 22 is bonded to the outside of the grinding wheel base 21 and contacts the workpiece to grind it. The profile measuring instrument 3 measures the macroscopic and microscopic structural features of the surface of the grinding wheel 2, including the macroscopic envelope profile and microscopic surface morphology features of the grinding wheel abrasive layer 22.
[0047] The working principle of the grinding wheel feature measuring device in the above-mentioned vertical spindle surface grinding is as follows:
[0048] The grinding wheel 2 is driven to rotate by the spindle 1 of the vertical grinding machine; the spindle 1 can move up and down, driving the grinding wheel 2; the worktable 4 of the vertical grinding machine can move horizontally, driving the profile measuring instrument 3 to translate; when the grinding wheel 2 enters the measurement range of the profile measuring instrument 3, the profile measuring instrument 3 begins to measure the rotating grinding wheel 2. The macroscopic and microscopic structural features of the grinding wheel surface measured by the profile measuring instrument 3 include: the macroscopic envelope profile and microscopic surface morphology features of the abrasive layer 22. The profile measuring instrument 3 is connected to a computer via wired or wireless means, transmitting the measured macroscopic and microscopic structural features of the grinding wheel 2 surface to the computer in real time.
[0049] Example 2:
[0050] This invention also provides a method for dynamic abrasive grain analysis of grinding wheels in vertical spindle surface grinding. This analysis method is based on the above-mentioned measuring device. Before implementing this method, according to... Figure 1 The measuring device shown is connected.
[0051] The implementation process of this analytical method is as follows: Figure 2 As shown, it includes the following steps:
[0052] Step S01: Turn on the vertical grinding machine, and adjust the relative position of the grinding wheel 2 and the profile measuring instrument 3 by moving the vertical grinding machine spindle 1 and the vertical grinding machine worktable 4, so that the grinding wheel 2 is within the measurement range of the profile measuring instrument 3;
[0053] Step S02: Start the vertical grinding machine spindle 1 to drive the grinding wheel 2 at a low speed. n s1 Rotation (speed) n s1 ≤1 r / min), turn on the profile measuring instrument 3 to measure the macroscopic envelope profile and microscopic surface morphology of the abrasive layer 22 of the grinding wheel, and stop the measurement immediately after the grinding wheel 2 rotates one revolution;
[0054] Step S03: Based on the macro- and micro-structural features of the abrasive layer 22 of the grinding wheel measured by the profile measuring instrument 3, a spatial reconstruction is performed, and a first three-dimensional digital model of the grinding wheel reflecting the macro- and micro-structural features of the grinding wheel surface is established based on the spatial reconstruction results (e.g., Figure 3 As shown, the three-dimensional digital model of the first grinding wheel surface includes: the macroscopic envelope surface of the grinding wheel surface, the microscopic abrasive grain shape, and the spatial distribution state;
[0055] Step S04: Using the three-dimensional digital model of the first grinding wheel surface established in step S03, perform a vertical spindle surface grinding simulation experiment on the workpiece (e.g., Figure 4 As shown in the figure, during the grinding simulation experiment, the simulated grinding experimental parameters are made the same as the actual grinding process parameters, and the rotational speed of grinding wheel 2 is recorded as . n sThe workpiece feed speed is v w The grinding depth is d c ;
[0056] Step S05: During the grinding simulation experiment in step S04, dynamic and non-dynamic abrasive grains are determined based on the contact state between the abrasive grains and the workpiece in the grinding zone. If an abrasive grain comes into contact with the workpiece, it is identified as a dynamic abrasive grain, and the corresponding workpiece material in the area where the dynamic abrasive grain interferes with the workpiece is removed. Figure 5 As shown in (a); if the abrasive grain does not contact the workpiece, the abrasive grain is considered a non-dynamic abrasive grain, and the corresponding workpiece material is not removed, such as... Figure 5 As shown in (b); Figure 5 In (a) and (b), v s =2π n s r For the radius r The linear velocity of the abrasive grains at the location;
[0057] This step can be implemented in finite element analysis software, where the identification of dynamic abrasive particles and the removal of workpiece material are achieved by analyzing the stress on the abrasive particles and deleting the workpiece mesh, respectively.
[0058] Step S06: Based on the discrimination results of dynamic abrasive particles on the grinding wheel surface obtained in Step S05, and on the basis of the first three-dimensional digital model of the grinding wheel surface established in Step S03, a secondary spatial reconstruction of the macroscopic and microscopic structural features of the grinding wheel surface is performed. The structural features of non-dynamic abrasive particles are filtered out to obtain a second three-dimensional digital model of the grinding wheel surface reflecting the macroscopic envelope surface and microscopic dynamic abrasive particle structural features after filtering out the structural features of non-dynamic abrasive particles, as shown below. Figure 6 As shown, this second three-dimensional digital model of the grinding wheel surface includes: the macroscopic envelope surface of the grinding wheel surface, the microscopic dynamic abrasive grain shape, and the spatial distribution state;
[0059] It can be seen that the micro-dynamic abrasive spatial distribution of the second grinding wheel surface three-dimensional digital model obtained after secondary spatial reconstruction becomes very sparse compared with the micro-dynamic abrasive spatial distribution of the first grinding wheel surface three-dimensional digital model obtained after primary spatial reconstruction.
[0060] Step S07: Discretize the three-dimensional digital model of the first grinding wheel surface obtained in step S03, count the number of abrasive grains in each micro-element of the grinding zone after discretization, and divide by the area of the macroscopic envelope surface of the grinding wheel corresponding to that micro-element to obtain the abrasive grain density of each micro-element; use the radial position and abrasive grain density of the micro-element as the abscissa and ordinate respectively to obtain the radial distribution diagram of the abrasive grain density of the grinding zone in the discrete state of the three-dimensional digital model of the first grinding wheel surface (e.g., ...). Figure 8 (as shown)
[0061] Discrete processing process such as Figure 7 As shown, the following method is used to achieve this:
[0062] The macroscopic envelope surface of the grinding wheel within the grinding zone is discretized into N infinitesimal elements along the radial direction of the grinding wheel, resulting in a set of infinitesimal elements. In this set, each infinitesimal element has the same width along the radial direction of the grinding wheel, and the elements are numbered 1#, 2#, 3#, ... N #; The position of each microelement is respectively r 1. r 2. r 3、…、 r N , R in and R out These are the inner and outer diameters corresponding to the macroscopic envelope of the grinding wheel within the grinding zone, respectively.
[0063] Step S08: Discretize the three-dimensional digital model of the second grinding wheel surface obtained in step S06, count the number of dynamic abrasive grains in each micro-element of the grinding zone after discretization, and divide by the area of the macroscopic envelope surface of the grinding wheel corresponding to that micro-element to obtain the dynamic abrasive grain density of each micro-element. Using the radial position and dynamic abrasive grain density of the micro-element as the abscissa and ordinate respectively, obtain the distribution diagram of the dynamic abrasive grain density along the radial direction of the grinding wheel in the discrete state of the three-dimensional digital model of the second grinding wheel surface (e.g., ...). Figure 9 (as shown)
[0064] For discrete processing methods, see Figure 7 The specific discrete processing method is similar to that in step S07, and will not be repeated here.
[0065] Step S09: Divide the number of dynamic abrasive grains in each micro-element of the second grinding wheel surface three-dimensional digital model obtained in step S08 by the number of abrasive grains in the corresponding micro-element of the first grinding wheel surface three-dimensional digital model obtained in step S07, and multiply by 100% to obtain the probability of dynamic abrasive grains in each micro-element of the grinding wheel surface; based on the probability of dynamic abrasive grains in each micro-element of the grinding wheel surface, use the radial position of the micro-element and the probability of dynamic abrasive grains in the micro-element as the abscissa and ordinate respectively to obtain the distribution diagram of the probability of dynamic abrasive grains on the grinding wheel surface in the grinding zone along the radial direction of the grinding wheel, as shown below. Figure 10 As shown.
[0066] By utilizing the obtained dynamic abrasive probability distribution diagram along the grinding wheel in the grinding zone, the mechanism of abrasive-workpiece interference can be analyzed, providing theoretical guidance and experimental support for theoretical modeling of grinding force, grinding temperature, and workpiece surface morphology after grinding during vertical spindle plane grinding.
[0067] While the present invention has been disclosed above with reference to preferred embodiments, these embodiments are not intended to limit the invention. Any equivalent changes or modifications made without departing from the spirit and scope of the invention are also within the scope of protection of the invention. Therefore, the scope of protection of the present invention should be determined by the claims of this application.
Claims
1. A method for dynamic abrasive grain analysis of grinding wheels in vertical spindle surface grinding, characterized in that, The analytical method includes: Step S01: Open the vertical grinding machine and adjust the grinding wheel (2) to be within the measurement range of the profile measuring instrument (3); the grinding wheel (2) consists of a grinding wheel base (21) and a grinding wheel abrasive layer (22). The grinding wheel abrasive layer (22) is bonded to the outside of the grinding wheel base (21). The grinding wheel abrasive layer (22) contacts the workpiece to grind the workpiece. Step S02: Start the vertical grinding machine spindle (1) to drive the grinding wheel (2) to rotate, turn on the profile measuring instrument (3) to measure the macroscopic envelope profile and microscopic surface morphology of the grinding wheel abrasive layer (22), and stop the measurement immediately after the grinding wheel (2) has rotated one revolution; Step S03: Based on the macro- and micro-structural features of the grinding wheel abrasive layer (22) measured by the profile measuring instrument (3), a spatial reconstruction is performed, and a first three-dimensional digital model of the grinding wheel surface reflecting the macro- and micro-structural features of the grinding wheel surface is established based on the spatial reconstruction results. Step S04: Use the three-dimensional digital model of the first grinding wheel surface to conduct a vertical axis plane grinding simulation experiment on the workpiece. During the grinding simulation experiment, make the simulated grinding experiment parameters the same as the actual grinding process parameters. Step S05: During the grinding simulation experiment, dynamic and non-dynamic abrasive grains are determined based on the contact state between the abrasive grains and the workpiece in the grinding zone. If the abrasive grains come into contact with the workpiece, they are identified as dynamic abrasive grains, and the corresponding workpiece material in the area where the dynamic abrasive grains interfere with the workpieces is removed. If the abrasive grains do not come into contact with the workpieces, they are identified as non-dynamic abrasive grains, and the corresponding workpiece material is not removed. Step S06: Based on the discrimination result of dynamic abrasive particles on the grinding wheel surface, on the basis of the first three-dimensional digital model of the grinding wheel surface, a secondary spatial reconstruction of the macroscopic and microscopic structural features of the grinding wheel surface is performed to filter out the structural features of non-dynamic abrasive particles, and a second three-dimensional digital model of the grinding wheel surface reflecting the macroscopic envelope surface and microscopic dynamic abrasive particle structural features after filtering out the structural features of non-dynamic abrasive particles is obtained. Step S07: Discretize the three-dimensional digital model of the first grinding wheel surface, count the number of abrasive grains in each micro-element of the grinding area after discretization, and divide it by the area of the macroscopic envelope surface of the grinding wheel corresponding to the micro-element to obtain the abrasive grain density of each micro-element. Step S08: Discretize the three-dimensional digital model of the second grinding wheel surface, count the number of dynamic abrasive grains in each micro-element of the grinding zone after discretization, and divide it by the area of the macroscopic envelope surface of the grinding wheel corresponding to the micro-element to obtain the dynamic abrasive grain density of each micro-element. Step S09: Divide the number of dynamic abrasive grains of each micro-element after discretization of the three-dimensional digital model of the second grinding wheel surface obtained in step S08 by the number of abrasive grains of the corresponding micro-element after discretization of the three-dimensional digital model of the first grinding wheel surface obtained in step S07, and multiply by 100% to obtain the probability of dynamic abrasive grains of each micro-element on the grinding wheel surface.
2. The method for dynamic abrasive grain analysis of grinding wheels in vertical spindle surface grinding according to claim 1, characterized in that, The analytical method further includes: Step S07 further includes: using the radial position of the micro-element and the abrasive density of the micro-element as the abscissa and ordinate respectively, obtaining the abrasive density distribution map of the grinding zone along the radial direction of the grinding wheel corresponding to the discrete state of the three-dimensional digital model of the first grinding wheel surface; Step S08 further includes: using the radial position of the micro-element and the dynamic abrasive density of the micro-element as the abscissa and ordinate as the ordinate, respectively, to obtain the distribution map of the dynamic abrasive density of the grinding zone along the radial direction of the grinding wheel corresponding to the discrete state of the three-dimensional digital model of the second grinding wheel surface; Step S09 further includes: based on the probability of dynamic abrasive grains of each micro-element on the grinding wheel surface, using the radial position of the micro-element and the probability of dynamic abrasive grains of the micro-element as the abscissa and ordinate respectively, to obtain the distribution map of the probability of dynamic abrasive grains on the grinding wheel surface in the grinding zone along the radial direction of the grinding wheel.