Method for determining the relationship between workpiece diameter variation and post-treatment workpiece surface performance parameters

Abstract

The application discloses a kind of workpiece diameter variation and the relationship determination method of workpiece surface performance parameter after processing, applied to metal material performance detection field, comprising: establishing the quantitative relationship model between the workpiece diameter variation of workpiece and the workpiece grain size of workpiece after processing;Surface nanocrystallization is carried out to workpiece, obtains the workpiece grain size of workpiece after processing corresponding to different workpiece diameter variation, and obtains several groups of experimental data;Experimental data is substituted into quantitative relationship model, and model parameters are fitted by least square method, and model parameters include the material constant to be calibrated related to the workpiece material to be measured;According to model parameter, the relationship between the workpiece grain size of workpiece after processing and workpiece diameter variation is determined.The method provided by the application can significantly improve the industrial implementability of workpiece surface nanocrystallization treatment, improve the performance detection efficiency of workpiece after processing, and reduce comprehensive cost.

Description

Technical Field

[0001] This invention relates to the field of metal material performance testing, and in particular to a method for determining the relationship between workpiece diameter variation and surface performance parameters of the workpiece after treatment. Background Technology

[0002] Bearing steel rolls (such as GCr15SiMn, M50, etc.) achieve a hardness of 60-65 HRC after surface tempering, but there is still considerable room for improvement in their hardness and wear resistance. Through surface nano-sizing treatment, a gradient structure is induced on the surface by intense plastic deformation (SPD). Under the action of stress (shear stress and compressive stress) and deformation, the original coarse grains are gradually elongated into thin ribbons along the axial direction, forming a fibrous structure. The dislocation density inside the material increases sharply, and some grains are broken up. Under continuous action, the grain size is refined in a gradient, significantly enhancing hardness, fatigue resistance, and wear resistance.

[0003] In related technologies, methods for measuring the grain size of gradient nanostructure surfaces typically include transmission electron microscopy (TEM), X-ray diffraction peak broadening analysis, and ultrasonic surface wave detection. Hardness measurements utilize indentation or impact methods such as Vickers, Rockwell, Leeb, and Shore. However, these methods have the following drawbacks:

[0004] 1. Hardness testing has requirements on the shape and size of the sample, especially for complex shapes and medium to large workpieces (such as rolls), which hinders the testing process and makes the testing procedure cumbersome.

[0005] 2. Sampling, indentation, and impact measurement methods will all damage the surface integrity of the workpiece;

[0006] 3. The sample preparation and testing process is time-consuming and costly, which is not conducive to timely testing in industry.

[0007] Therefore, how to effectively improve the efficiency of judging the performance parameters of workpiece grains is a technical problem that needs to be solved by those skilled in the art. Summary of the Invention

[0008] The purpose of this invention is to provide a method for determining the relationship between workpiece diameter variation and surface performance parameters of the processed workpiece, which is used to quickly and accurately determine the grain parameter information of the workpiece and is convenient to operate.

[0009] To achieve the above objectives, the present invention provides the following technical solution:

[0010] A method for determining the relationship between workpiece diameter variation and surface performance parameters of the treated workpiece includes the following steps:

[0011] Establish the change in workpiece diameter The grain size of the processed workpiece A quantitative relationship model between them;

[0012] The workpiece is subjected to surface nano-sizing treatment to obtain different workpiece diameter variations. The corresponding grain size of the processed workpiece And obtained several sets of experimental data;

[0013] Substitute the experimental data into the quantitative relationship model, and fit the model parameters using the least squares method. The model parameters include material constants to be calibrated that are related to the material of the workpiece under test.

[0014] Based on the model parameters, determine the grain size of the processed workpiece. The change in the diameter of the workpiece The relationship between them.

[0015] On the other hand, the quantitative relationship model is as follows:

[0016] (1)

[0017] in: ;

[0018] For volumetric strain;

[0019] This represents the change in workpiece diameter.

[0020] The diameter of the workpiece before processing;

[0021] The grain size of the workpiece before processing;

[0022] The grain size of the processed workpiece;

[0023] This refers to the residual compressive stress on the surface of the workpiece after treatment.

[0024] , , These are the material constants to be calibrated related to the material of the workpiece under test.

[0025] On the other hand, substituting the experimental data into the quantitative relationship model and fitting the model parameters using the least squares method includes:

[0026] The change in workpiece diameter is determined according to the formula (1). The grain size of the processed workpiece The relationship between them:

[0027] (2)

[0028] Formula (3) is derived from formula (2) as follows:

[0029] (3)

[0030] Simplifying formula (3), we obtain formula (4) as follows:

[0031] (4)

[0032] in:

[0033] .

[0034] For each set of experimental data, one equation can be obtained; after conducting N sets of experiments, a system of equations is obtained, as follows:

[0035] (5)

[0036] Transform the system of equations (5) into matrix form, constructing the matrix equation Y=X*θ, with parameters... ,in:

[0037] ;

[0038] ;

[0039] Fitting using the least squares method , and value.

[0040] On the other hand, the different workpiece diameter variations are obtained. The corresponding grain size of the processed workpiece Several sets of experimental data were obtained, including:

[0041] The grain size of the workpiece before processing was obtained using metallographic microscopy or electron backscatter diffraction (EBSD). The grain size of the workpiece after processing was analyzed by TEM sampling. The residual compressive stress on the surface of the workpiece after treatment is measured using X-ray diffraction or neutron diffraction. The diameter of the workpiece before processing was measured using a laser diameter gauge. and the diameter of the processed workpiece And based on the workpiece diameter before processing and the diameter of the processed workpiece Calculate the change in the diameter of the workpiece. .

[0042] On the other hand, the surface nanoforming treatment includes at least one of surface rolling, surface blasting, shot peening, laser impact, and ultrasonic rolling.

[0043] On the other hand, the process of performing surface nano-sizing on the workpiece also includes:

[0044] The workpiece is a bearing steel roll that has undergone quenching and tempering treatment. The microstructure of the workpiece is martensitic, and the grain size of the workpiece is in the range of 0.8-5μm.

[0045] On the other hand, the surface nano-processing of the workpiece also includes:

[0046] By adjusting the pressure, feed rate, rotational speed, and / or number of passes on the workpiece, multiple sets of surface nano-processing are performed on the workpiece to obtain multiple sets of different values ​​for workpiece diameter variation. and the change in diameter of each of the workpieces The corresponding grain size of the processed workpiece .

[0047] On the other hand, it also includes:

[0048] Based on the Hall-Petch relationship, determine the surface hardness of the workpiece after treatment. The grain size of the processed workpiece The relationship between the two was established, and the surface hardness of the workpiece before treatment was obtained by fitting experimental data. Constants related to material properties ;

[0049] Based on the surface hardness of the workpiece before processing and the material properties related constants Determine the surface hardness of the workpiece after treatment. The grain size of the processed workpiece The relationship between them;

[0050] Based on the grain size of the processed workpiece The change in the diameter of the workpiece The relationship between the two factors determines the surface hardness of the workpiece after treatment. The change in the diameter of the workpiece The relationship between them.

[0051] On the other hand, the surface hardness of the workpiece after treatment The surface grain size of the processed workpiece The relationship between them is:

[0052] (6)

[0053] in:

[0054] : Surface hardness of the workpiece before treatment;

[0055] Material property-related constants;

[0056] : The grain size of the workpiece after processing.

[0057] On the other hand, the surface hardness of the workpiece before treatment is obtained by fitting experimental data. Constants related to material properties Previously included:

[0058] The surface hardness of the treated workpieces in each group was measured using a hardness tester. .

[0059] The method for determining the relationship between workpiece diameter change and surface performance parameters of the processed workpiece provided by this invention includes the following steps: establishing the workpiece diameter change amount. The grain size of the processed workpiece A quantitative relationship model between them; the workpiece undergoes surface nano-sizing treatment to obtain different workpiece diameter variations. The corresponding grain size of the processed workpiece Several sets of experimental data were obtained; these experimental data were substituted into the quantitative relationship model, and the model parameters were fitted using the least squares method. The model parameters included material constants related to the material of the workpiece under test. Based on the model parameters, the grain size of the processed workpiece was determined. The change in the diameter of the workpiece The method provided by this invention can establish a relationship between the change in the workpiece diameter and the grain size of the processed workpiece. After surface nano-sizing of the workpiece, only the workpiece diameter needs to be measured. By calculating the change in the workpiece diameter, the grain size of the processed workpiece can be quickly obtained without the need for transmission electron microscopy (TEM) or X-ray diffraction to measure the grain size. This significantly improves the industrial feasibility of surface nano-sizing of workpieces, increases the efficiency of performance testing of the processed workpiece, and reduces overall costs.

[0060] In one embodiment, the method further includes: determining the surface hardness of the processed workpiece based on the Hall-Petch relationship. The grain size of the processed workpiece The relationship between the two was established, and the surface hardness of the workpiece before treatment was obtained by fitting experimental data. Constants related to material properties Based on the surface hardness of the workpiece before treatment and the material properties related constants Determine the surface hardness of the workpiece after treatment. The grain size of the processed workpiece The relationship between them; based on the grain size of the processed workpiece. The change in the diameter of the workpiece The relationship between the two factors determines the surface hardness of the workpiece after treatment. The change in the diameter of the workpiece The relationship between them. The above method, through the measurement of the surface hardness of the processed workpiece... The grain size of the processed workpiece The relationship between them was determined, and the grain size of the processed workpiece was used as a reference. The change in the diameter of the workpiece The relationship between the two factors determines the surface hardness of the workpiece after treatment. The change in the diameter of the workpiece The relationship between these factors affects the surface hardness of the processed workpiece. Similarly, the surface hardness of the workpiece can be quickly calculated from the change in workpiece diameter, without the need for hardness measurement methods to determine the surface hardness of the processed workpiece. Conducting testing can further reduce overall costs and improve the efficiency of performance testing of processed workpieces. Attached Figure Description

[0061] To more clearly illustrate the technical solutions in the embodiments of the present invention or related technologies, the drawings used in the description of the embodiments or related technologies will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0062] Figure 1 A flowchart of a specific embodiment of the method for determining the relationship between workpiece diameter variation and surface performance parameters of the processed workpiece provided by the present invention;

[0063] Figure 2 This is a flowchart of another specific embodiment of the method for determining the relationship between workpiece diameter variation and surface performance parameters of the processed workpiece provided by the present invention. Detailed Implementation

[0064] The core of this invention is to provide a method for determining the relationship between workpiece diameter variation and surface performance parameters of the processed workpiece, which can significantly reduce overall costs and improve feasibility.

[0065] To enable those skilled in the art to better understand the present invention, the present invention will be further described in detail below with reference to the accompanying drawings and specific embodiments.

[0066] Please refer to Figure 1 , Figure 1 This invention provides a method for determining the relationship between changes in workpiece diameter and surface performance parameters of the workpiece after treatment.

[0067] In this embodiment, the method for determining the relationship between the change in workpiece diameter and the surface performance parameters of the treated workpiece includes:

[0068] Step S1: Establish the change in workpiece diameter The grain size of the processed workpiece A quantitative relationship model between them;

[0069] Step S2: Perform surface nano-sizing treatment on the workpiece to obtain different workpiece diameter variations. The corresponding grain size of the processed workpiece And obtained several sets of experimental data;

[0070] Step S3: Substitute the experimental data into the quantitative relationship model and fit the model parameters using the least squares method. The model parameters include the material constants to be calibrated that are related to the material of the workpiece under test.

[0071] Step S4: Determine the grain size of the processed workpiece based on the model parameters. The change in the diameter of the workpiece The relationship between them.

[0072] Specifically, due to the limitations of related technologies in determining the grain size of the processed workpiece... Acquiring this information typically requires methods such as transmission electron microscopy (TEM) or X-ray measurement, resulting in long processing times and high costs. In this application, however, the change in workpiece diameter is established based on the principle that plastic deformation causes changes in surface volume, which in turn leads to changes in diameter. The grain size of the processed workpiece A quantitative relationship model between them is used to obtain the result through the change in workpiece diameter. Calculate the grain size of the workpiece after processing. The calculation formula for the change in workpiece diameter. The acquisition method is simple, efficient and low cost; after surface nano-treatment, the mechanical properties of metal materials, including surface hardness, wear resistance, corrosion resistance and fatigue resistance, can be greatly improved, the material utilization rate is increased and the cost can be effectively reduced.

[0073] The method provided by this invention can establish a relationship between the change in workpiece diameter and the grain size of the processed workpiece. After the workpiece is subjected to surface nano-sizing treatment, only the workpiece diameter needs to be measured. By calculating the change in workpiece diameter, the grain size of the processed workpiece can be obtained quickly. There is no need to use transmission electron microscopy or X-ray to measure the grain size of the processed workpiece. This can significantly improve the industrial feasibility of workpiece surface nano-sizing treatment, increase the efficiency of performance testing of the processed workpiece, and reduce the overall cost.

[0074] The method for determining the relationship between workpiece diameter change and surface performance parameters of the processed workpiece is applicable not only to the detection of complex shapes and medium-to-large workpieces (such as rolls), but also to the workpiece diameter change, which can be replaced by other external dimensional changes, and is equally applicable to other types of workpieces.

[0075] In some embodiments, surface nanoforming treatment includes at least one of surface rolling, surface blasting, shot peening, laser impact, and ultrasonic rolling. The specific method can be selected as needed, and multiple methods can be combined to prepare a gradient structure on the surface of the bearing steel workpiece. By adjusting the process parameters corresponding to the method, different degrees of plastic deformation, i.e., different changes in workpiece diameter, can be obtained. The sample.

[0076] In some embodiments, the process includes, prior to surface nano-sizing of the workpiece:

[0077] The workpiece is selected as a bearing steel roll that has undergone quenching and tempering. The microstructure of the workpiece is martensitic, and the grain size of the workpiece is in the range of 0.8-5μm. Of course, in the actual testing process, the corresponding material should be selected for surface nano-treatment according to the actual material type of the workpiece, and the required experimental data should be obtained.

[0078] In some embodiments, surface nanoforming of the workpiece further includes:

[0079] By adjusting the pressure, feed rate, rotational speed, and / or number of passes on the workpiece, multiple sets of surface nano-processing treatments are performed on the workpiece to obtain multiple sets of different values ​​for workpiece diameter variation. and the diameter variation of each workpiece The corresponding grain size of the processed workpiece Specifically, to better obtain experimental data, the change in workpiece diameter should be different after completing different groups of surface nano-treatment. To ensure that the change in workpiece diameter varies across different experimental groups, parameters such as pressure, feed rate, rotation speed, or number of passes during the surface nano-treatment process can be changed to easily obtain multiple different changes in workpiece diameter. and the corresponding grain size of the processed workpiece. .

[0080] In some implementations, volumetric strain is established. With grain refinement and residual stress Correlation, thus determining the quantitative relationship model as follows:

[0081] (1)

[0082] in: ;

[0083] For volumetric strain;

[0084] This represents the change in workpiece diameter.

[0085] The diameter of the workpiece before processing;

[0086] The grain size of the workpiece before processing;

[0087] The grain size of the processed workpiece;

[0088] This refers to the residual compressive stress on the surface of the workpiece after treatment.

[0089] , , These are the material constants to be calibrated related to the material of the workpiece under test.

[0090] In some implementations, the experimental data are substituted into the quantitative relationship model, and the model parameters are fitted using the least squares method, including:

[0091] The change in workpiece diameter is determined according to formula (1). The grain size of the processed workpiece The relationship between them:

[0092] (2)

[0093] According to formula (2), multiply both sides by... Thus, we obtain the linear expression, i.e., formula (3), as follows:

[0094] (3)

[0095] Simplifying formula (3), we get formula (4), as follows:

[0096] (4)

[0097] in:

[0098] .

[0099] For each set of experimental data, one equation can be obtained; after conducting N sets of experiments, a system of equations is obtained, as follows:

[0100] (5)

[0101] Transform the system of equations (5) into matrix form and construct matrix equations. ,parameter ,in:

[0102] ;

[0103] ;

[0104] Fitting using the least squares method , and value.

[0105] Specifically, the number of experimental groups can be selected as needed. To save costs and improve efficiency, two experimental groups are generally selected, and two sets of experimental data are obtained. Of course, the larger the number of experimental groups, the better the fitted result will be. , and The more precise the value, the better. For example, you can select four sets of experiments and obtain four sets of experimental data.

[0106] In some implementations, different workpiece diameter variations are obtained. The corresponding grain size of the processed workpiece Several sets of experimental data were obtained, including:

[0107] The grain size of the workpiece before processing was obtained using metallographic microscopy or electron backscatter diffraction (EBSD). The grain size of the workpiece after processing was analyzed by TEM sampling. The residual compressive stress on the surface of the workpiece after treatment is measured using X-ray diffraction or neutron diffraction. The diameter of the workpiece before processing was measured using a laser diameter gauge. and the diameter of the processed workpiece And based on the workpiece diameter before processing and the diameter of the processed workpiece Calculate the change in workpiece diameter Regarding the grain size of the workpiece before processing. Grain size of the processed workpiece Residual compressive stress on the surface of the workpiece after treatment The diameter of the workpiece before processing and the diameter of the processed workpiece The information can be obtained by means other than those mentioned above; any method that meets the testing requirements is acceptable.

[0108] Please refer to Figure 2 , Figure 2 This is a flowchart of another specific embodiment of the method for determining the relationship between workpiece diameter variation and surface performance parameters of the processed workpiece provided by the present invention.

[0109] In some implementations, it also includes:

[0110] Step S5: Determine the surface hardness of the processed workpiece based on the Hall-Petch relationship. The grain size of the processed workpiece The relationship between the two was established, and the surface hardness of the workpiece before treatment was obtained by fitting experimental data. Constants related to material properties ;

[0111] Step S6: Based on the surface hardness of the workpiece before processing Constants related to material properties Determine the surface hardness of the workpiece after treatment. The grain size of the processed workpiece The relationship between them;

[0112] Step S7: Based on the grain size of the processed workpiece With the change in workpiece diameter The relationship between the two factors determines the surface hardness of the workpiece after treatment. With the change in workpiece diameter The relationship between them.

[0113] The above method involves measuring the surface hardness of the processed workpiece. The grain size of the processed workpiece The relationship between them was determined, and the grain size of the processed workpiece was used as a reference. With the change in workpiece diameter The relationship between the two factors determines the surface hardness of the workpiece after treatment. With the change in workpiece diameter The relationship between these factors affects the surface hardness of the processed workpiece. Similarly, the surface hardness of the workpiece can be quickly calculated from the change in workpiece diameter, without the need for hardness measurement methods to determine the surface hardness of the processed workpiece. Conducting testing can further reduce overall costs and improve the efficiency of performance testing of processed workpieces.

[0114] In some implementations, the surface hardness of the treated workpiece The surface grain size of the processed workpiece The relationship between them is:

[0115] (6)

[0116] in:

[0117] : Surface hardness of the workpiece before treatment;

[0118] Material property-related constants;

[0119] : The grain size of the processed workpiece (unit: nm).

[0120] Specifically, experimental data fitting and Construct the matrix equation:

[0121] (7)

[0122] The solution process for k is the same as described above. , and The value is ultimately obtained. and That's all.

[0123] In some implementations, the surface hardness of the workpiece before treatment is obtained by fitting experimental data. Constants related to material properties Previously included:

[0124] The surface hardness of the treated workpieces in each group was measured using a hardness tester. Of course, the surface hardness of the workpiece after treatment It can also be obtained through other means, not limited to measurement with a hardness tester.

[0125] It should be noted that the surface hardness of the workpiece before treatment given in this application is... This was obtained through fitting experimental data. This setting was intended to reduce the impact on the surface hardness of the workpiece before processing. The detection process can further improve efficiency.

[0126] Specifically, in one embodiment, the workpiece material is selected as GCr15 bearing steel, the workpiece type is a roll, and the workpiece surface undergoes high-frequency quenching and tempering treatment; initial parameter measurement: the grain size of the workpiece before treatment is obtained through EBSD. The diameter of the workpiece before processing was measured using methods including a micrometer. The surface hardness of the workpiece before treatment was measured using a micro Vickers hardness tester. The surface of the workpiece is nano-sized using a surface mechanical rolling (SMRT) process to obtain different degrees of plastic deformation, i.e., changes in workpiece diameter. Samples with diameters of 0.1 mm, 0.15 mm, 0.2 mm, and 0.25 mm, respectively;

[0127] Parameters of samples with different workpiece diameter variations were measured: TEM sampling and analysis of the gradient nanostructure on the surface of workpieces with different diameter variations was performed to determine the grain size of the processed workpieces. The residual compressive stress on the surface of the workpiece after treatment is measured using X-ray diffraction or neutron diffraction. The unit is The diameter of the workpiece after dimensional measurement is determined using a dimensional measuring instrument, including a laser diameter gauge. Thus, the change in workpiece diameter is obtained. The surface hardness of the treated workpiece was measured using a micro Vickers hardness tester. The specific values ​​are shown in Table 1.

[0128] Table 1 Sample parameters of the workpiece in each group of experiments

[0129]

[0130] Based on the experimental data in Table 1, calculate... , , The numerical values ​​are obtained from formula (3) and Table 2 is obtained.

[0131] Table 2 shows the data calculated for each group of experiments. , , , numerical value

[0132]

[0133] Based on the data in Table 2, we obtain And then calculate ;

[0134] Then, according to formula (6), calculate... and Formula (6) can be written as The calculation process is as follows:

[0135]

[0136] Therefore, we obtain .

[0137] The above model was validated, and the experimental values ​​were substituted into the calculations to obtain the error range, as shown in Table 3.

[0138] Table 3. Error values ​​of calculation results in each group of experiments.

[0139]

[0140] Table 3 shows the change in workpiece diameter in each group of experiments. The error value and the surface hardness of the workpiece after processing The error values ​​are all within the allowable range.

[0141] The above provides a detailed description of the method for determining the relationship between workpiece diameter variation and surface performance parameters of the processed workpiece, as provided by this invention. Specific examples have been used to illustrate the principles and implementation methods of this invention. The descriptions of the above embodiments are merely for the purpose of helping to understand the method and core ideas of this invention. It should be noted that those skilled in the art can make various improvements and modifications to this invention without departing from its principles, and these improvements and modifications also fall within the protection scope of this invention.

Claims

1. A method for determining the relationship between workpiece diameter variation and surface performance parameters of the treated workpiece, characterized in that, Includes the following steps: Establish the change in workpiece diameter Grain size of the processed workpiece A quantitative relationship model between them; The workpiece is subjected to surface nano-sizing treatment to obtain different workpiece diameter variations. The corresponding grain size of the processed workpiece And obtained several sets of experimental data; Substitute the experimental data into the quantitative relationship model, and fit the model parameters using the least squares method. The model parameters include material constants to be calibrated that are related to the material of the workpiece under test. Based on the model parameters, determine the grain size of the processed workpiece. The change in the diameter of the workpiece The relationship between them; The quantitative relationship model is as follows: （1） in: ; Volumetric strain; Change in workpiece diameter; : The diameter of the workpiece before processing; Grain size of the workpiece before processing; : The grain size of the processed workpiece; : Residual compressive stress on the surface of the workpiece after treatment; , , The material constants to be calibrated are related to the material of the workpiece under test; The step of substituting the experimental data into the quantitative relationship model and fitting the model parameters using the least squares method includes: The change in workpiece diameter is determined according to the formula (1). Grain size of the processed workpiece The relationship between them: （2） Based on formula (2), the following formula is obtained: （3） Simplifying formula (3), we obtain formula (4) as follows: （4） in: ； For each set of experimental data, one equation can be obtained; after conducting N sets of experiments, a system of equations is obtained, as follows: （5） Transform the system of equations (5) into matrix form, constructing the matrix equation Y=X*θ, with parameters... ,in: ； ； Fitting using the least squares method , and value.

2. The method for determining the relationship between workpiece diameter variation and surface performance parameters of the treated workpiece according to claim 1, characterized in that, The different workpiece diameter variations were obtained. The corresponding grain size of the processed workpiece Several sets of experimental data were obtained, including: The grain size of the workpiece before processing was obtained using metallographic microscopy or electron backscatter diffraction (EBSD). The grain size of the workpiece after processing was analyzed by TEM sampling. The residual compressive stress on the surface of the workpiece after treatment is measured using X-ray diffraction or neutron diffraction. The diameter of the workpiece before processing was measured using a laser diameter gauge. and the diameter of the processed workpiece And based on the workpiece diameter before processing and the diameter of the processed workpiece Calculate the change in the diameter of the workpiece. .

3. The method for determining the relationship between workpiece diameter variation and surface performance parameters of the treated workpiece according to claim 1, characterized in that, The surface nanoforming treatment includes at least one of surface rolling, surface blasting, shot peening, laser impact, and ultrasonic rolling.

4. The method for determining the relationship between workpiece diameter variation and surface performance parameters of the treated workpiece according to claim 1, characterized in that, The process before performing surface nano-sizing treatment on the workpiece also includes: The workpiece is a bearing steel roll that has undergone quenching and tempering treatment. The microstructure of the workpiece is martensitic, and the grain size of the workpiece is in the range of 0.8-5μm.

5. The method for determining the relationship between workpiece diameter variation and surface performance parameters of the treated workpiece according to claim 1, characterized in that, The surface nano-sizing treatment of the workpiece further includes: By adjusting the pressure, feed rate, rotational speed, and / or number of passes on the workpiece, multiple sets of surface nano-processing treatments are performed on the workpiece to obtain multiple sets of different values ​​for workpiece diameter changes. and the change in diameter of each of the workpieces The corresponding grain size of the processed workpiece .

6. A method for determining the relationship between workpiece diameter variation and surface performance parameters of the treated workpiece according to any one of claims 1 to 5, characterized in that, Also includes: Based on the Hall-Petch relationship, determine the surface hardness of the workpiece after treatment. Grain size of the processed workpiece The relationship between the two was established, and the surface hardness of the workpiece before treatment was obtained by fitting experimental data. Constants related to material properties ; Based on the surface hardness of the workpiece before processing and the material properties related constants Determine the surface hardness of the workpiece after treatment. Grain size of the processed workpiece The relationship between them; Based on the grain size of the processed workpiece The change in the diameter of the workpiece The relationship between the two factors determines the surface hardness of the workpiece after treatment. The change in the diameter of the workpiece The relationship between them.

7. The method for determining the relationship between workpiece diameter variation and surface performance parameters of the treated workpiece according to claim 6, characterized in that, The surface hardness of the processed workpiece The surface grain size of the processed workpiece The relationship between them is: （6） in: : Surface hardness of the workpiece before treatment; Material property-related constants; : The grain size of the workpiece after processing.

8. The method for determining the relationship between workpiece diameter variation and surface performance parameters of the treated workpiece according to claim 6, characterized in that, The surface hardness of the workpiece before treatment is obtained by fitting experimental data. Constants related to material properties Previously included: The surface hardness of the treated workpieces in each group was measured using a hardness tester. .

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