Method for predicting grinding and polishing effect of flexible grinding tool under eccentricity

Abstract

The embodiment of the invention discloses a method for predicting the grinding and polishing effect of a flexible grinding tool under eccentricity. The method comprises the following steps: measuring key physical parameters of the grinding tool; according to the spindle rotating speed and the key physical parameters, a deformation model of the grinding tool in the no-load state is established; according to the feeding speed and the spindle rotating speed, the movement track of the grinding tool is determined; calculating a theoretical contact depth curve when the grinding tool is in contact with the workpiece according to the radial cutting depth and the initial rotation angle of the grinding tool; and obtaining a theoretical grinding and polishing surface generated under the eccentricity of the grinding tool according to the change of the time axis. According to the method, the grinding and polishing effect under the eccentricity of the flexible grinding tool can be effectively predicted, the contact state of the grinding tool and the workpiece in the grinding and polishing process can be accurately simulated, the influence of the eccentricity of the flexible grinding tool on the actual machining surface and the rule of the influence can be determined, and theoretical basis and technical support are provided for technological parameter optimization and surface quality control in subsequent actual machining; and reference can be provided for design and application of the flexible grinding tool, and development and application of the numerical control machining technology are powerfully promoted.

Description

Technical Field

[0001] The embodiments of the present invention relate to the technical field of numerical control machining, and in particular to a method for predicting the grinding and polishing effect of a flexible abrasive tool under eccentricity. Background Art

[0002] In modern manufacturing, CNC machining technology, as an important processing method, is widely used in the manufacture of various complex parts. The accuracy and efficiency of CNC machining have an important impact on the final quality of the product. Abrasives play a vital role in the CNC machining process, especially in precision machining and surface polishing. The performance of the abrasive is directly related to the quality and consistency of the machined surface. However, the abrasive may be eccentric during use, that is, the center of mass of the abrasive is not in the center of the rotation axis. This eccentricity may be caused by manufacturing errors, clamping errors or wear of the abrasive.

[0003] Due to its special material and structural characteristics, flexible abrasives have better adaptability and wider application prospects than traditional rigid abrasives. Flexible abrasives can perform efficient polishing and fine processing on complex curved surfaces and irregular shaped workpiece surfaces. The eccentricity of flexible abrasives will have a significant impact on the quality of the processed surface during CNC machining, which is manifested in increased waviness of the machined surface, increased surface roughness, and even machining defects, which not only affects the appearance quality of the product, but also has an adverse effect on the performance of the product. However, in the field of CNC machining, there is currently a lack of systematic methods to predict the grinding and polishing effects of flexible abrasives under eccentricity, and it is impossible to analyze and predict the impact of flexible abrasive eccentricity on the quality of the machined surface, and thus it is impossible to reveal the law of the impact of flexible abrasive eccentricity on the quality of the machined surface, and it is impossible to provide support for optimizing machining parameters, which hinders the improvement of the quality of the machined surface.

[0004] The above problems need to be solved urgently. Summary of the invention

[0005] In order to solve the related technical problems, the present invention provides a method for predicting the grinding and polishing effect of a flexible abrasive tool under eccentricity to solve the problems mentioned in the above background technology part.

[0006] To achieve the above objectives, the embodiments of the present invention adopt the following technical solutions:

[0007] A method for predicting the grinding and polishing effect of a flexible abrasive tool under eccentricity, the method comprising:

[0008] Measure key physical parameters of the mold;

[0009] Establishing a deformation model of the abrasive tool when it is unloaded according to the spindle speed and key physical parameters of the abrasive tool;

[0010] Determining the motion trajectory of the grinding tool according to the feed speed and the spindle speed;

[0011] Calculating a theoretical contact depth curve when the grinding tool contacts the workpiece according to the radial cutting depth and the initial rotation angle of the grinding tool;

[0012] According to the change of the time axis, the theoretical polishing surface produced under the eccentricity of the grinding tool is obtained.

[0013] As an optional embodiment, the key physical parameters of the abrasive tool include but are not limited to eccentricity, elastic modulus, diameter, thickness and mass.

[0014] As an optional embodiment, the key physical parameters of the measuring tool include:

[0015] Measure the eccentricity of the grinding tool using precision measuring equipment;

[0016] Measure the elastic modulus of the abrasive tool through material testing;

[0017] Use geometric measurement methods to measure the diameter and thickness of the abrasive tool;

[0018] The quality of the mold can be accurately obtained by weighing.

[0019] As an optional implementation manner, the deformation model of the grinding tool when no-load is established according to the spindle speed and the key physical parameters of the grinding tool, including:

[0020] According to the spindle speed and the key physical parameters of the grinding tool, a deformation model of the grinding tool when unloaded is established; the deformation and stress distribution caused by the eccentricity and centrifugal force during the rotation of the grinding tool are simulated by the deformation model.

[0021] As an optional implementation, determining the motion trajectory of the grinding tool according to the feed speed and the spindle speed includes:

[0022] According to the processing requirements and process specifications, set the corresponding feed speed and spindle speed;

[0023] According to the set feed speed and spindle speed, the motion trajectory of the abrasive tool during the actual machining process is calculated.

[0024] As an optional implementation, the calculating of the theoretical contact depth curve when the grinding tool contacts the workpiece according to the radial cutting depth and the initial rotation angle of the grinding tool includes:

[0025] According to the processing requirements, set the radial cutting depth and the initial rotation angle of the grinding tool;

[0026] A theoretical contact depth curve when the grinding tool contacts the workpiece is calculated according to the radial cutting depth, the initial rotation angle of the grinding tool, and the motion trajectory of the grinding tool during the actual machining process.

[0027] As an optional implementation, the step of obtaining the theoretical polishing surface produced when the grinding tool is eccentric according to the change in the time axis includes:

[0028] According to the change of the time axis, the theoretical contact depth curve is combined with the time axis to simulate the grinding and polishing process of the grinding tool on the workpiece surface during the entire processing process, and obtain the theoretical grinding and polishing surface generated when the grinding tool is eccentric.

[0029] As an optional implementation, the method of obtaining the theoretical polishing surface produced when the grinding tool is eccentric according to the change of the time axis also includes:

[0030] The theoretical surface morphology of the workpiece after grinding and polishing is calculated, wherein the morphology is used to reflect the microscopic morphology characteristics generated by the grinding tool on the workpiece surface during the grinding and polishing process.

[0031] As an optional implementation, the method for predicting the grinding and polishing effect of the flexible abrasive tool under eccentricity also includes: using computer simulation software to visualize the theoretical surface morphology state to intuitively present the surface characteristics of the workpiece after grinding and polishing.

[0032] The technical solution proposed in the embodiment of the present invention measures the key physical parameters of the abrasive tool; establishes a deformation model of the abrasive tool when it is unloaded according to the spindle speed and the key physical parameters of the abrasive tool; determines the motion trajectory of the abrasive tool according to the feed speed and the spindle speed; calculates the theoretical contact depth curve when the abrasive tool contacts the workpiece according to the radial cutting depth and the initial rotation angle of the abrasive tool; and obtains the theoretical grinding and polishing surface produced under the eccentricity of the abrasive tool according to the change in the time axis. The technical solution proposed in the embodiment of the present invention can effectively predict the grinding and polishing effect under the eccentricity of the flexible abrasive tool, systematically establishes a theoretical model of the influence of the eccentricity of the flexible abrasive tool on the grinding and polishing surface, accurately simulates the contact state between the abrasive tool and the workpiece during the grinding and polishing process, and can determine the influence of the eccentricity of the flexible abrasive tool on the actual processing surface and its law, providing a theoretical basis and technical support for the optimization of process parameters and surface quality control in subsequent actual processing, and can also provide a reference for the design and application of flexible abrasive tools, which has strongly promoted the development and application of CNC machining technology. BRIEF DESCRIPTION OF THE DRAWINGS

[0033] In order to more clearly illustrate and understand the technical solutions in the embodiments of the present invention, the following briefly introduces the background technology of the present invention and the drawings required for use in the description of the embodiments. Obviously, the drawings described below are only some embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on the contents of the embodiments of the present invention and these drawings without paying any creative work.

[0034] Figure 1A schematic flow chart of a method for predicting the grinding and polishing effect of a flexible abrasive tool under eccentricity provided in the first embodiment of the present invention;

[0035] Figures 2 to 7 This is a diagram of the eccentricity of the shutter wheel at different speeds in the second embodiment of the present invention;

[0036] Figure 8 A radial material removal depth diagram of the louver wheel during the grinding and polishing process in the second embodiment of the present invention;

[0037] Fig. 9 This is a simulation diagram of the workpiece surface after being polished by the louver wheel in Example 2 of the present invention. DETAILED DESCRIPTION

[0038] In order to make the technical problems solved by the present invention, the technical solutions adopted and the technical effects achieved clearer, the technical solutions of the embodiments of the present invention will be further described in detail below in conjunction with the accompanying drawings. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative work are within the scope of protection of the present invention.

[0039] Embodiment 1

[0040] Please refer to Figure 1 As shown, Figure 1 A flow chart of a method for predicting the grinding and polishing effect of a flexible abrasive tool under eccentricity provided in the first embodiment of the present invention. As shown in the figure, the method for predicting the grinding and polishing effect of a flexible abrasive tool under eccentricity in this embodiment includes the following steps:

[0041] S101. Measure key physical parameters of the mold;

[0042] S102. Establishing a deformation model of the mold when it is unloaded according to the spindle speed and the key physical parameters of the mold;

[0043] S103. Determine the motion trajectory of the abrasive tool according to the feed speed and the spindle speed;

[0044] S104. Calculating a theoretical contact depth curve when the abrasive tool contacts the workpiece according to the radial cutting depth and the initial rotation angle of the abrasive tool;

[0045] S105. According to the change of the time axis, obtain the theoretical polishing surface produced when the grinding tool is eccentric.

[0046] Exemplarily, the key physical parameters of the abrasive tool include, but are not limited to, eccentricity, elastic modulus, diameter, thickness and mass. The key physical parameters of the abrasive tool are the basis for establishing a deformation model of the abrasive tool and directly affect the behavior of the abrasive tool during processing.

[0047] In this embodiment, the key physical parameters of the measuring tool include:

[0048] The eccentricity of the mold is measured by precision measuring equipment. The eccentricity refers to the offset of the center of gravity of the mold relative to its rotation axis. The eccentricity is the main reason for the vibration and swing of the mold during rotation. Accurately measuring this value is used for subsequent compensation and optimization. In practical applications, precision measuring equipment can be selected as needed, as long as it can achieve accurate eccentricity measurement.

[0049] The elastic modulus of the mold is measured through material testing. The elastic modulus reflects the stiffness and deformation capacity of the mold material and can predict the deformation behavior of the mold under stress.

[0050] The diameter and thickness of the mold are measured using geometric measurement methods. The radius and thickness of the mold affect its force distribution and deformation during rotation. In specific applications, the radius of the mold is measured using geometric measurement methods to obtain the diameter.

[0051] The mass of the mold can be accurately obtained by weighing. The mass of the mold is a key parameter that affects its inertia and force conditions.

[0052] Exemplarily, the step of establishing a deformation model of the grinding tool when it is unloaded according to the spindle speed and the key physical parameters of the grinding tool includes:

[0053] According to the spindle speed and the key physical parameters of the grinding tool, a deformation model of the grinding tool when unloaded is established; the deformation and stress distribution caused by the eccentricity and centrifugal force during the rotation of the grinding tool are simulated by the deformation model.

[0054] In this embodiment, the spindle speed range is set according to the actual processing needs. Different spindle speeds will cause different centrifugal forces, thereby affecting the deformation of the mold. Using the grinding and polishing mechanism and elastic deformation theory, according to the measured key physical parameters of the mold and the set spindle speed, a deformation model of the mold in the no-load state is established. The deformation and stress distribution caused by the eccentricity and centrifugal force during the rotation of the mold are simulated by the deformation model; the calculation process of the deformation caused by the eccentricity and centrifugal force in this embodiment is as follows:

[0055]

[0056] A=cdb

[0057] F=lω 2 m

[0058]

[0059]

[0060] Among them, Δl is the deformation caused by eccentricity and centrifugal force; F is the centripetal force at the deformation; l is the distance from the rotation center to the surface of the mold; E is the elastic modulus of the mold; A is the cross-sectional area at the deformation; c is the thickness of the mold; db is the unit width at the deformation; ω is the angular velocity; m is the mass at the deformation; M is the mass of the mold; D is the diameter of the mold; e is the eccentricity of the mold; β is the angle between the deformation and the center of the mold; t1 is the spindle rotation time; θ is the initial rotation angle between the deformation of the mold and the rotation center.

[0061] Exemplarily, determining the motion trajectory of the grinding tool according to the feed speed and the spindle speed includes:

[0062] According to the processing requirements and process specifications, the corresponding feed speed and spindle speed are set; among them, the feed speed determines the relative movement speed between the mold and the workpiece, which has a direct impact on the quality of the machined surface.

[0063] According to the set feed speed and spindle speed, the motion trajectory of the abrasive tool in the actual processing process is calculated. The motion trajectory of the abrasive tool in the actual processing process is an important basis for analyzing its behavior in the actual processing.

[0064] In this embodiment, the calculation process of the motion trajectory during the actual processing is as follows:

[0065]

[0066]

[0067] Among them, α is the angle between the deformation point and the rotation center; x i is the horizontal coordinate of the deformation point; y i is the ordinate of the deformation point; V w is the feed speed of the mold; t2 is the movement time in the feed direction.

[0068] Exemplarily, the step of calculating the theoretical contact depth curve when the grinding tool contacts the workpiece according to the radial cutting depth and the initial rotation angle of the grinding tool includes:

[0069] According to the processing requirements, the radial cutting depth and the initial rotation angle of the grinding tool are set; wherein the radial cutting depth determines the cutting depth between the grinding tool and the workpiece, and is a key parameter affecting the quality of the machined surface. The initial rotation angle of the grinding tool is the initial position angle of the grinding tool when it starts processing, which affects the contact state of the grinding tool during the processing.

[0070] According to the radial cutting depth, the initial rotation angle of the grinding tool, and the motion trajectory of the grinding tool during the actual processing, the theoretical contact depth curve when the grinding tool contacts the workpiece is calculated to obtain the contact state between the grinding tool and the workpiece surface. The theoretical contact depth curve reflects the contact depth distribution between the grinding tool and the workpiece surface during the processing, and can be used to analyze and optimize the processing quality; wherein, the calculation process of the theoretical contact depth curve is as follows:

[0071]

[0072] Among them, α cc is the angle between the critical deformation point and the rotation center during contact; a p is the theoretical cutting depth.

[0073] Exemplarily, the method of obtaining the theoretical polishing surface produced when the grinding tool is eccentric according to the change in the time axis includes:

[0074] According to the change of the time axis, the theoretical contact depth curve is combined with the time axis to simulate the grinding and polishing process of the grinding tool on the workpiece surface during the entire processing process, and obtain the theoretical grinding and polishing surface generated when the grinding tool is eccentric.

[0075] Specifically, according to α cc The cutting-in and cutting-out positions at the current moment can be known, so as to know the material removal depth at each position in the processing area at that moment, and the complete processing surface under the processing path can be obtained by superimposing the processing surface morphology at different moments;

[0076] t1∈[0,1],t2=0

[0077]

[0078] t1∈[0,2],t2=1

[0079]

[0080] [t1∈[0,1],t2=0; t1∈[0,2],t2=1]

[0081]

[0082]

[0083] in, Actual material removal depth at each contact point; It is the relationship function between actual cutting depth and theoretical cutting depth.

[0084] Exemplarily, the step of obtaining the theoretical polishing surface produced when the grinding tool is eccentric according to the change in the time axis also includes:

[0085] The theoretical surface morphology of the workpiece after grinding and polishing is calculated, wherein the morphology is used to reflect the microscopic morphology characteristics generated by the grinding tool on the workpiece surface during the grinding and polishing process.

[0086] The method for predicting the grinding and polishing effect of the flexible abrasive tool under eccentricity proposed in this embodiment also includes: using computer simulation software to visualize the theoretical surface morphology state to intuitively present the surface characteristics of the workpiece after grinding and polishing.

[0087] In this embodiment, the prediction method of the grinding and polishing effect of the flexible abrasive tool under eccentricity proposed in this embodiment can analyze and record the grinding and polishing conditions of the abrasive tool on the workpiece surface at different time points through computer simulation software, and generate a theoretical grinding and polishing surface model; based on the theoretical grinding and polishing surface model, the influence of the eccentricity of the flexible abrasive tool on the actual processed surface is analyzed.

[0088] The prediction method for the grinding and polishing effect of the flexible abrasive tool under eccentricity proposed in this embodiment can effectively predict the grinding and polishing effect of the flexible abrasive tool under eccentricity, systematically establish a theoretical model for the influence of the eccentricity of the flexible abrasive tool on the grinding and polishing surface, accurately simulate the contact state between the abrasive tool and the workpiece during the grinding and polishing process, and can determine the influence of the eccentricity of the flexible abrasive tool on the actual machined surface and its law, providing a theoretical basis and technical support for the optimization of process parameters and surface quality control in subsequent actual processing, and can also provide a reference for the design and application of flexible abrasive tools, which has effectively promoted the development and application of CNC machining technology.

[0089] Embodiment 2

[0090] In this embodiment, the flexible abrasive tool is a louver wheel. The implementation principle of the method for predicting the grinding and polishing effect of the flexible abrasive tool under eccentricity proposed in this embodiment is the same as the method proposed in the first embodiment above, and the principle part is not repeated here. Specifically, the eccentricity of the louver wheel under different speeds is obtained by a high-precision laser displacement sensor, such as Figures 2 to 7 As shown, Figures 2 to 7 The eccentricity diagrams of the louver wheel at the speeds of 500RPM, 2000RPM, 4000RPM, 6000RPM, 8000RPM and 10000RPM in the embodiment of the present invention are shown respectively. The elastic modulus of the abrasive material is measured by a dynamic mechanical analyzer, the thickness and diameter of the louver wheel are measured by a high-precision vernier caliper, and the mass of the louver wheel is measured by a high-precision electronic balance. The specific measurement parameters at the spindle speed of 10000RPM are shown in the following table:

[0091]

[0092]

[0093] By measuring the elastic modulus and eccentricity value, combined with the elastic deformation theory, a radius change model of the flapper wheel during rotation is established. This model takes into account the centrifugal force and the elastic properties of the material, and can predict the radius change of the flapper wheel at different rotation speeds.

[0094] As in the first embodiment above, the deformation under the action of centrifugal force is calculated using the following formula:

[0095]

[0096] A=cdb;

[0097] F=lω 2 m;

[0098]

[0099]

[0100] Combined with the grinding and polishing process parameters, including spindle speed, feed speed and radial cutting depth, a theoretical contact depth curve model is established when the abrasive tool contacts the workpiece. The deformation of the abrasive tool under different process parameters is obtained through the theoretical contact depth curve model, which can predict the actual cutting depth and contact area when the abrasive tool contacts the workpiece.

[0101] As in Example 1, the theoretical contact depth curve is calculated using the following formula:

[0102]

[0103]

[0104]

[0105] In this embodiment, the grinding and polishing process is divided into several time domains, each of which represents the relative movement of the grinding tool and the workpiece within a time interval. In this way, the contact between the grinding tool and the workpiece during the entire grinding and polishing process can be analyzed in detail.

[0106] In this embodiment, the contact depth curve in each time domain is calculated, considering the deformation and contact state of the abrasive tool at different time points. Using the principles of kinematics and mechanics, the material removal amount and contact pressure distribution of the abrasive tool in each time domain can be calculated.

[0107] The contact depth curves in each time domain are superimposed to obtain the cumulative contact depth distribution during the entire grinding and polishing process. This step can combine the contact conditions at different times during the grinding and polishing process to obtain the overall impact of the abrasive tool on the workpiece surface during the entire grinding and polishing process, such as Figure 8 As shown, Figure 8This is a diagram of the radial material removal depth of the flap wheel during the grinding and polishing process in an embodiment of the present invention.

[0108] In this embodiment, the superposition process needs to take into account the rotation and feed motion of the grinding tool, as well as the deformation effect caused by the eccentricity of the grinding tool. In this way, the cutting and grinding and polishing effects of the grinding tool on the workpiece surface at different time points can be accurately simulated. According to the superimposed contact depth curve, the theoretical surface morphology state of the workpiece after grinding and polishing is calculated. This morphology state can reflect the microscopic morphological characteristics of the workpiece surface generated by the grinding tool during the grinding and polishing process, including surface roughness, waviness, etc.

[0109] In this embodiment, computer simulation software is used to visualize the theoretical surface morphology state, and the surface characteristics of the workpiece after grinding and polishing are intuitively presented through three-dimensional surface diagrams and cross-sectional curve diagrams, such as Fig. 9 As shown, Fig. 9 This is a simulation diagram of the workpiece surface after grinding and polishing with a hundred-leaf wheel in an embodiment of the present invention.

[0110] The prediction method for the grinding and polishing effect of the eccentric flap wheel proposed in this embodiment can effectively predict the grinding and polishing effect of the eccentric flap wheel, systematically establish a theoretical model for the influence of the eccentricity of the flap wheel on the grinding and polishing surface, accurately simulate the contact state of the flap wheel and the workpiece during the grinding and polishing process, and can determine the influence of the eccentricity of the flap wheel on the actual processed surface and its law, providing a theoretical basis and technical support for the optimization of process parameters and surface quality control in subsequent actual processing, and can also provide a reference for the design and application of the flap wheel.

[0111] Note that the above are only preferred embodiments of the present invention and the technical principles used. Those skilled in the art will understand that the present invention is not limited to the specific embodiments described herein, and that various obvious changes, readjustments and substitutions can be made by those skilled in the art without departing from the scope of protection of the present invention. Therefore, although the present invention has been described in more detail through the above embodiments, the present invention is not limited to the above embodiments, and may include more other equivalent embodiments without departing from the concept of the present invention, and the scope of the present invention is determined by the scope of the appended claims.

Claims

1. A method for predicting the grinding and polishing effect of a flexible abrasive tool under eccentricity, characterized in that: include: Measure key physical parameters of molds; Establishing a deformation model of the abrasive tool when it is unloaded according to the spindle speed and key physical parameters of the abrasive tool; Determining the motion trajectory of the grinding tool according to the feed speed and the spindle speed; Calculating a theoretical contact depth curve when the grinding tool contacts the workpiece according to the radial cutting depth and the initial rotation angle of the grinding tool; According to the change of the time axis, the theoretical polishing surface produced under the eccentricity of the grinding tool is obtained.

2. The method for predicting the grinding and polishing effect of a flexible abrasive tool under eccentricity according to claim 1, characterized in that: The key physical parameters of the abrasive tool include, but are not limited to, eccentricity, elastic modulus, diameter, thickness and mass.

3. The method for predicting the grinding and polishing effect of a flexible abrasive tool under eccentricity according to claim 2, characterized in that: The key physical parameters of the measured abrasive tool include: Measure the eccentricity of the grinding tool using precision measuring equipment; Measure the elastic modulus of the abrasive tool through material testing; Use geometric measurement methods to measure the diameter and thickness of the abrasive tool; The quality of the mold can be accurately obtained by weighing.

4. The method for predicting the grinding and polishing effect of a flexible abrasive tool under eccentricity according to claim 2, characterized in that: The step of establishing a deformation model of the grinding tool when it is unloaded according to the spindle speed and the key physical parameters of the grinding tool comprises: According to the spindle speed and the key physical parameters of the grinding tool, a deformation model of the grinding tool when unloaded is established; the deformation and stress distribution caused by the eccentricity and centrifugal force during the rotation of the grinding tool are simulated by the deformation model.

5. The method for predicting the grinding and polishing effect of a flexible abrasive tool under eccentricity according to claim 4, characterized in that: Determining the motion trajectory of the grinding tool according to the feed speed and the spindle speed includes: According to the processing requirements and process specifications, set the corresponding feed speed and spindle speed; According to the set feed speed and spindle speed, the motion trajectory of the abrasive tool during the actual machining process is calculated.

6. The method for predicting the grinding and polishing effect of a flexible abrasive tool under eccentricity according to claim 5, characterized in that: The step of calculating the theoretical contact depth curve when the grinding tool contacts the workpiece according to the radial cutting depth and the initial rotation angle of the grinding tool comprises: According to the processing requirements, set the radial cutting depth and the initial rotation angle of the grinding tool; A theoretical contact depth curve when the grinding tool contacts the workpiece is calculated according to the radial cutting depth, the initial rotation angle of the grinding tool, and the motion trajectory of the grinding tool during the actual machining process.

7. The method for predicting the grinding and polishing effect of a flexible abrasive tool under eccentricity according to claim 6, characterized in that: The method of obtaining the theoretical polishing surface produced by the eccentricity of the grinding tool according to the change of the time axis includes: According to the change of the time axis, the theoretical contact depth curve is combined with the time axis to simulate the grinding and polishing process of the grinding tool on the workpiece surface during the entire processing process, and obtain the theoretical grinding and polishing surface generated when the grinding tool is eccentric.

8. The method for predicting the grinding and polishing effect of a flexible abrasive tool under eccentricity according to claim 7, characterized in that: The step of obtaining the theoretical polishing surface produced when the grinding tool is eccentric according to the change of the time axis also includes: The theoretical surface morphology of the workpiece after grinding and polishing is calculated, wherein the morphology is used to reflect the microscopic morphology characteristics generated by the grinding tool on the workpiece surface during the grinding and polishing process.

9. The method for predicting the grinding and polishing effect of a flexible abrasive tool under eccentricity according to claim 8, characterized in that: Also includes: The theoretical surface morphology state is visualized using computer simulation software to intuitively present the surface characteristics of the workpiece after grinding and polishing.

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