A design method of a precision single-layer electroplated grinding wheel substrate

Abstract

This invention proposes a method for designing a precision single-layer electroplated grinding wheel substrate, comprising the following steps: S1: forming the expected value and standard deviation of the normal distribution parameters of the abrasive size, and setting the number of abrasive particles to be generated; S2: setting the shape of one abrasive particle as a cone, and defining the diameter of the base circle and the height of the cone; S3: determining the positional relationship between the projection point of the cone's vertex on the base circle and the center of the circle; S4: generating a uniform distribution interval based on the thickness of the precision single-layer electroplated grinding wheel, and randomly generating a numerical value t. i S5: Repeat steps S2-S4 until the number of abrasive particles generated reaches n; S6: Use n abrasive particles to generate a simulation graphic of the working layer of the grinding wheel; S7: Calculate the wear amount of the precision single-layer electroplated grinding wheel caused by dressing; S8: Calculate the design dimension r of the single-layer electroplated grinding wheel substrate that does not require dressing. 无修 With r 精密 The model of this invention is simple, computationally efficient, and improves the efficiency of grinding wheel utilization.

Description

Technical Field

[0001] This invention relates to the technical field of electroplated grinding wheel substrate design, and more particularly to a method for designing a precision single-layer electroplated grinding wheel substrate. Background Technology

[0002] Electroplated superhard material grinding wheels offer excellent material removal rates and operating speeds, making them widely used in high-speed and ultra-high-speed grinding. Single-layer electroplated grinding wheels offer advantages such as high precision, high efficiency, and high formability in profile grinding, and are generally considered to require no dressing. However, with increasing precision requirements in profile machining, the problems of poor abrasive exposure height consistency and poor initial profile after plating on single-layer electroplated grinding wheels have become increasingly prominent. Therefore, precision electroplated grinding wheels used in the precision machining of key components in the automotive industry, aerospace blades, robotics, and other fields must be dressed.

[0003] In profile grinding processes, the actual dimensions of the grinding wheel must be pre-input into the machine tool. If the input dimension is larger than the actual dimension, it will lead to dimensional errors in the machined workpiece; if the input dimension is smaller than the actual dimension, quality problems such as burning and reduced wheel life will occur. Electroplated grinding wheels have a rough composite material surface, making their actual dimensions impossible to measure directly. For precision electroplated grinding wheels requiring dressing, their actual dimensions are related to the dressing amount, abrasive grain size, and substrate size. The dressing amount is related to the abrasive grain size and profile requirements. However, the abrasive grain size and profile requirements are related to the usage conditions and are generally determined before the substrate design. Therefore, the actual dimensions of precision electroplated grinding wheels are directly related to the substrate size design.

[0004] Currently, the general method for designing matrix dimensions is to first determine the maximum allowable particle size D within the range of the abrasive grain size used. max The dimension r is the outward increase of the substrate after electroplating. The substrate dimension r is obtained by subtracting the electroplating increment from the finished size of the electroplating wheel. 无修 However, this method is only applicable to undressed electroplated grinding wheels. The size of the dressed wheel is smaller than that before dressing. If the finished size of the electroplated grinding wheel is used as the input size to the machine tool, the actual size will be too small, leading to repeated tool adjustments during use. This significantly reduces grinding accuracy and efficiency, and can also easily cause surface quality problems due to excessive tool adjustments. Currently, there is no corresponding substrate design method for precision electroplated grinding wheels that require dressing. Summary of the Invention

[0005] To address the current technical problem of low design efficiency for precision electroplated grinding wheel substrates that require dressing, this invention proposes a precision single-layer electroplated grinding wheel substrate design method. The method features a simple model, high computational efficiency, improved grinding wheel utilization, and reduced surface quality issues.

[0006] To achieve the above objectives, the technical solution of the present invention is implemented as follows: a method for designing a precision single-layer electroplated grinding wheel substrate, comprising the following steps:

[0007] S1: Based on the expected value μ and standard deviation σ of the normal distribution parameters of the abrasive size formed by the abrasive grain size distribution used in the precision single-layer electroplated grinding wheel, set the number of abrasive particles to be generated n;

[0008] S2: Set the shape of an abrasive to a cone. Based on the expected value μ and standard deviation σ in step S1, randomly generate two parameters that conform to a normal distribution, and define the two parameters as the diameter d of the base circle of the cone and the height h of the cone.

[0009] S3: Set a uniform distribution range A according to the abrasive crystal form used in the precision single-layer circuit grinding wheel, and randomly generate a value c that conforms to the uniform distribution. Use the value c to determine the positional relationship between the projection point of the cone vertex on the bottom circle and the center of the circle.

[0010] S4: Generate a uniformly distributed interval B[0,t] based on the thickness t of the precision single-layer electroplated grinding wheel, and randomly generate a value t within the interval B[0,t]. i As the coordinates of the center of the base circle of the cone;

[0011] S5: Repeat steps S2-S4 until the number of abrasive particles generated reaches n;

[0012] S6: Use the n abrasive models generated in step S5 to generate a simulation graphic of the grinding wheel working layer;

[0013] S7: Calculate the wear amount Δr of the precision single-layer electroplated grinding wheel caused by dressing based on the simulation graphic of the grinding wheel working layer obtained in step S6;

[0014] S8: Calculate the design dimension r of the single-layer electroplated grinding wheel substrate that requires no dressing. 无修 The precision single-layer electroplated grinding wheel substrate size r is calculated based on the loss amount Δr obtained in step S7. 精密 for:

[0015] r 精密 =r 无修 +Δr.

[0016] The normal distribution mentioned in step S1 is the nominal screen size of the abrasive particle size specified in the national standard GB / T 6406. The expected μ is the average particle size μ of the abrasive, the upper screen size, and the proportion of residual abrasive on the upper screen. The standard deviation σ of the normal distribution parameter can be obtained by calculating the normal distribution and the expected μ.

[0017] The method described in step S2 for randomly generating two parameters that conform to a normal distribution based on the expected value μ and the standard deviation σ, and defining the two parameters as the base diameter d and the height h of the cone, is as follows: input the expected value μ and the standard deviation σ from step S1 into the normrnd() function in MATLAB, randomly generate normal distribution values ​​N1 and N2, take Max(N1,N2) as the base diameter d, and take Min(N1,N2) as the height h of the cone.

[0018] The method for setting the uniform distribution interval A in step S3 is as follows: if the abrasive is cBN abrasive, the interval is set to [-1,1]; if the abrasive is diamond abrasive, the interval is set to [-0.5,0.5]; if the abrasive is finely sieved diamond abrasive, the interval is set to 0.

[0019] The method for determining the positional relationship between the projection point of the cone vertex on the base circle and the center of the circle using the numerical value c in step S3 is as follows: the absolute value of the numerical value c is the ratio of the distance between the projection point of the cone vertex on the base circle and the center of the circle, as specified in step S2, to the radius of the base circle. The sign of the numerical value c indicates the position of the projection point relative to the center of the circle. If the numerical value c is positive, the projection point on the base circle is to the right of the center of the circle. If the numerical value c is negative, the projection point on the base circle is to the left of the center of the circle.

[0020] The methods for randomly generating a value c that conforms to the uniform distribution in step S3 and for randomly generating a value t in step S4 are both to use the rand() function in MATLAB to generate random numbers.

[0021] The method for generating a simulated grinding wheel working layer using the generated n abrasive particles in step S6 is as follows:

[0022] S61: Construct a rectangular coordinate system with the X-axis along the thickness direction of the grinding wheel substrate and the Y-axis along the radial direction of the grinding wheel substrate. The 0 point is the leftmost end of the outer contour of the grinding wheel substrate.

[0023] S62: Select the nth cone, based on the diameter d of the cone's base circle. n The height h of the cone n Conical shape parameter c n The coordinates of the center of the circle (x) n This yields a triangle A. n The triangle A n The base length is d n , the center coordinates of the base (x n ,0), vertex coordinates are

[0024] S63: Calculate triangle A generated in step S62. nRepresent the two sides of triangle A, excluding the base, using two linear functions of the form y = kx + b. n The two hypotenuses;

[0025] S64: In the interval If a point is taken at intervals of Δx every unit length, then the coordinates of the m-th point of the n-th cone are: in h nm for The function value of the piecewise function of the nth triangle;

[0026] S65: Based on the data generated in step S64, classify by x-coordinate value with an interval of Δx. All y-coordinate data corresponding to each x-coordinate value are represented as {h1, h2…}, where h1, h2… represent the abrasive height at the current x-coordinate.

[0027] S66: Calculate the maximum value of all y-coordinates corresponding to each unit length Δx within the thickness range [0, t] of the electroplated grinding wheel, forming a data set hu = {u*Δx, max(h1, h2, ...)}, where... Each x-coordinate value corresponds to a y-coordinate value, forming an overlay graphic.

[0028] The method for calculating the wear Δr caused by dressing of a precision single-layer electroplated grinding wheel in step S7 is as follows: calculate the contour of the simulated pattern of the working layer of the grinding wheel, and the calculated value is P. 实际 Let P be the required profile value for a precision single-layer electroplated grinding wheel. 需求 Then, the dressing loss Δr of the precision single-layer electroplated grinding wheel can be obtained as:

[0029] Δr=P 实际 -P 需求

[0030] The calculated value P in step S7 实际 P is the range of distances between data points in step S6 along the normal direction of the grinding wheel working layer shape; for simple surfaces, if the grinding wheel has a straight working layer, P 实际 P is the maximum distance between two data points calculated along the perpendicular direction of the straight line; if the grinding wheel is a circular arc working layer, P 实际 P represents the range of distances from all data points to the center of the circle; if the grinding wheel has an arc working layer containing one or more combinations of straight lines, arcs, or complex curves, then P... 实际 The maximum value of the profile calculated individually for each working layer shape.

[0031] The beneficial effects of the present invention are as follows: 1. The present invention specifies a substrate design method for precision single-layer electroplated grinding wheels that require dressing. By compensating for the loss of outer diameter dimensions caused by the dressing process, the consistency between the input dimensions and the actual dimensions in the forming grinding is ensured, the grinding wheel utilization efficiency is improved, and surface quality problems are reduced.

[0032] 2. This invention uses a cone to simulate the shape of the abrasive, resulting in a simple model and high computational efficiency;

[0033] 3. This invention can use incoming material inspection data of abrasives to calculate the basic parameters of the abrasives, and the calculation results are objective;

[0034] 4. This invention specifies that the diameter of the base circle of the cone is greater than the height of the cone, which conforms to the principle of minimizing potential energy under natural accumulation conditions during electroplating, and the calculation results are more accurate. Attached Figure Description

[0035] To more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the drawings used in the description of the embodiments or the prior art 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.

[0036] Figure 1 This is a schematic diagram of the process of the present invention. Detailed Implementation

[0037] The technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.

[0038] Example 1

[0039] like Figure 1 As shown, a method for designing a precision single-layer electroplated grinding wheel substrate includes the following steps:

[0040] S1: Based on the abrasive grain size distribution used in precision single-layer electroplated grinding wheels, the expected value μ and standard deviation σ of the normal distribution parameters for abrasive size are formed, and the number of abrasive particles n is set. The number of abrasive particles n generated is positively correlated with the number of abrasive particles per unit. The matrix size can be adjusted at any time according to the changes in the number of abrasive particles per unit caused by different grinding conditions and quality and life requirements, which has universality. Among them, the normal distribution parameter is the nominal screen size of the abrasive grain size specified in the national standard GB / T 6406. The expected value μ is the average grain size μ of the abrasive, the upper screen size, and the proportion of residual abrasive on the upper screen. The standard deviation σ of the normal distribution parameter can be obtained by calculating the normal distribution and the expected value μ. The two randomly generated abrasive size values ​​conform to the normal distribution, which better reflects the true size of the abrasive than the mean distribution.

[0041] S2: Define the shape of an abrasive particle as a cone. Input the expected value μ and standard deviation σ from S1 into the normrnd() function in MATLAB to randomly generate normally distributed values ​​N1 and N2. Take Max(N1,N2) as d and Min(N1,N2) as h. Using a cone to simulate the shape of the abrasive particle is a simple model with high computational efficiency.

[0042] S3: Set a uniform distribution interval A based on the abrasive crystal form used in the precision single-layer circuit grinding wheel. If the abrasive is cBN abrasive, interval A is set to [-1, 1]; if the abrasive is diamond abrasive, interval A is set to [-0.5, 0.5]; if the abrasive is finely sieved diamond abrasive, interval A is set to 0. Selecting the interval of the uniform distribution parameter c based on the actual abrasive used can compensate for the differences in abrasive shape caused by different crystal forms and abrasive types. Use the rand() function in MATBAL to randomly generate a value c that conforms to this uniform distribution. Use c to determine the positional relationship between the projection point of the cone vertex on the base circle and the center of the circle. The absolute value of c is the ratio of the distance between the projection point of the cone vertex on the base circle and the center of the circle, as specified in step S2, to the radius of the base circle. The sign of c indicates the position of the projection point relative to the center of the circle. If c is positive, the projection point on the base circle is to the right of the center; if c is negative, the projection point on the base circle is to the left of the center.

[0043] S4: Generate a uniformly distributed interval B[0,t] based on the thickness t of the precision single-layer electroplated grinding wheel, and randomly generate a value t in the interval B[0,t] using the rand() function in MATBAL. i This serves as the coordinate system for the center of the cone's base circle. This step defines the currently calculated position of the abrasive along the grinding wheel's thickness, establishing a link between the randomly generated abrasive information and the grinding wheel, thus facilitating coordinate unification.

[0044] S5: Repeat steps S2-S4 until the number of abrasive particles generated reaches the n set in step S1, and obtain the size and position information of each abrasive particle.

[0045] S6: Generate a simulation pattern of the grinding wheel working layer using the generated n abrasive particles. The method for generating the simulation pattern of the grinding wheel working layer using the generated n abrasive particles is as follows:

[0046] S61: Construct a rectangular coordinate system with the X-axis along the thickness direction of the grinding wheel substrate and the Y-axis along the radial direction of the grinding wheel substrate. The 0 point is the leftmost end of the outer contour of the grinding wheel substrate.

[0047] S62: Select the nth cone, based on the diameter d of the cone's base circle. n The height h of the cone n Conical shape parameter c n The coordinates of the center of the circle (x) n This yields a definite triangle A. n The triangle A n The base length is d n , the center coordinates of the base (x n ,0), vertex coordinates are

[0048]

[0049] S63: Calculate the piecewise function of the two sides of triangle An generated in S62, excluding the base;

[0050] S64: In the interval If a point is taken at intervals of Δx every unit length, then the coordinates of the m-th point of the n-th cone are: in h nm for The function value of the piecewise function of the nth triangle;

[0051] S65: Based on the data generated in S64, classify by x-coordinate value with an interval of Δx. All y-coordinate data corresponding to each x-coordinate value are represented as {h1, h2…}. The array length depends on the data in S63. If the length is zero, it will be automatically padded with h1 = 0.

[0052] S66: Calculate the maximum value of all y-coordinates corresponding to each unit length Δx within the thickness range [0, t] of the electroplated grinding wheel, forming a data set hu = {u*Δx, max(h1, h2, ...)}, where... Each x-coordinate value corresponds to a y-coordinate value, forming an overlay graphic.

[0053] S7: Calculate the wear Δr caused by dressing of a precision single-layer electroplated grinding wheel. This includes calculating the profile of the simulated working layer of the grinding wheel, with a calculated value of P. 实际 Specifically, P 实际P is the range of distances between data points in step S6 along the normal direction of the grinding wheel working layer shape. For simple surfaces, if the grinding wheel has a straight working layer, P 实际 P is the maximum distance between two data points calculated along the perpendicular direction of the straight line; if the grinding wheel is a circular arc working layer, P 实际 P represents the range of distances from all data points to the center of the circle; if the grinding wheel has an arc working layer containing one or more combinations of straight lines, arcs, or complex curves, then P... 实际 The maximum profile value is calculated individually for each working layer shape. Let P be the required profile value for a precision single-layer electroplated grinding wheel, then the dressing loss Δr of the precision single-layer electroplated grinding wheel can be obtained as:

[0054] Δr=P 实际 -P 需求 .

[0055] S8: Calculate the design dimension r of the single-layer electroplated grinding wheel substrate that requires no dressing. 无修 Based on the loss Δr obtained from S7, the precision single-layer electroplated grinding wheel substrate size r is calculated. 精密 for:

[0056] r 精密 =r 无修 +Δr.

[0057] This invention simulates the superposition pattern of abrasives under given conditions to obtain the amount of wear due to dressing. Based on this, the dimensions of the electroplated grinding wheel base that does not require dressing are compensated, ensuring the consistency between the input dimensions and the actual dimensions in profile grinding, improving the efficiency of grinding wheel use, and reducing surface quality problems.

[0058] Example 2

[0059] A method for designing a precision single-layer electroplated grinding wheel substrate. In this example, the precision single-layer electroplated grinding wheel is model 1A1, with an outer diameter of 60mm, a thickness of 5mm, and a profile requirement of 0.005mm. The abrasive is diamond with a finely sieved grit size of 120 / 140, and the abrasive particle count per unit area is 25 particles / mm². The electroplating increment without dressing is 0.15mm, and the substrate design dimension without dressing is 60 - 2 * 0.15 = 59.7mm. The method is implemented according to the following steps:

[0060] S1: According to the national standard GB / T 6406-1996, the common parameters of 120 / 140 abrasive are shown in the table below. Referring to the standard normal distribution table, the z-quantile is 1.48 when the probability is 93%. Therefore, the normal distribution parameters of the abrasive size, the expected value (mean) μ, and the standard deviation σ are calculated as follows:

[0061]

[0062]

[0063]

[0064] S2, using a cone to represent an abrasive particle, according to μ and σ in step 1, use the normrnd() function in MATLAB to randomly generate two data points N1 and N2 that conform to the normal distribution parameters, and define max(N1,N2) and min(N1,N2) as the base circle diameter d and the height h of the cone, respectively;

[0065] S3, the abrasive crystal form used in the precision single-layer electroplated grinding wheel is diamond after fine screening, so the uniform distribution range is 0, therefore the uniform distribution parameter c is 0, that is, the shape of all cones is a perfect circular cone;

[0066] S4. Based on the thickness t = 5mm of the precision single-layer electroplated grinding wheel, use the rand() function in MATLAB to randomly generate a position parameter x that conforms to a uniform distribution and has a distribution interval of [0, 5]. x represents the coordinate value of the center of the bottom circle of the right circular cone specified in step 3.

[0067] S5, repeat steps 2-4 to generate 3.14*60*5*25=23550 cones;

[0068] S6. The 23,550 cones generated in step 5 are stacked to form a simulated working layer pattern of the grinding wheel, as shown below:

[0069] S61: Select the nth cone, whose structural parameters include the diameter d of the base circle of the cone. n The height h of the cone n The coordinates of the center of the circle (x) n Then a definite triangle A can be drawn. n The base length is d n , the center coordinates of the base (x n ,0), vertex coordinates are (x n ,0);

[0070] S62: Calculate the piecewise function of the two sides of triangle An generated in S1, excluding the base;

[0071] S63: In the interval If a point is taken at intervals of 0.001 mm, then the coordinates of the m-th point of the n-th cone are: in h nm for The function value of the piecewise function of the nth triangle;

[0072] S64: Based on the data generated in S3, classify by x-coordinate value with an interval of 0.001mm. All y-coordinate data corresponding to each x-coordinate value are represented as {h1, h2…}. The array length depends on the data in S3. If the length is zero, it will be automatically padded with h1 = 0.

[0073] S65: Statistically calculate the maximum value of all y-coordinate values ​​corresponding to every unit length of 0.001mm within the thickness range [0, 5] of the electroplated grinding wheel, forming a data group hu={u*Δx,max(h1,h2,…)}, where u∈[0,50000]. Then each x-coordinate value corresponds to a y-coordinate value, forming an overlay graph.

[0074] S7, calculate the profile of the simulated working layer of the grinding wheel. The calculated value is 0.029 mm. Assuming the required profile value of a precision single-layer electroplated grinding wheel is 0.005 mm, the dressing loss Δr of the precision single-layer electroplated grinding wheel can be obtained as follows:

[0075] Δr = 0.029 - 0.005 = 0.024 mm

[0076] S8, based on the dressing loss Δr and the design dimension of the single-layer electroplated grinding wheel base (59.7mm) that does not require dressing, the precision single-layer electroplated grinding wheel base dimension r can be obtained. 精密 for:

[0077] r 精密 =59.7 + 0.024 = 59.94 mm.

[0078] The other structures and principles are the same as in Example 1.

[0079] 1. The above description is only a preferred embodiment of the present invention and is not intended to limit the present invention. Any modifications, equivalent substitutions, improvements, etc., made within the spirit and principles of the present invention should be included within the protection scope of the present invention.

Claims

1. A method for designing a precision single-layer electroplated grinding wheel substrate, characterized in that, Includes the following steps: S1: Based on the expected value μ and standard deviation σ of the normal distribution parameters of the abrasive size formed by the abrasive grain size distribution used in the precision single-layer electroplated grinding wheel, set the number of abrasive particles to be generated n; S2: Set the shape of an abrasive to a cone. Based on the expected value μ and standard deviation σ in step S1, randomly generate two parameters that conform to a normal distribution, and define the two parameters as the diameter d of the base circle of the cone and the height h of the cone. S3: Set a uniform distribution range A according to the abrasive crystal form used in the precision single-layer circuit grinding wheel, and randomly generate a value c that conforms to the uniform distribution. Use the value c to determine the positional relationship between the projection point of the cone vertex on the bottom circle and the center of the circle. The absolute value of the value c is the ratio of the distance between the projection point of the cone vertex on the base circle and the center of the circle, as specified in step S2, to the radius of the base circle. The sign of the value c indicates the position of the projection point relative to the center of the circle. S4: Generate a uniformly distributed interval [0, t] based on the thickness t of the precision single-layer electroplated grinding wheel, and randomly generate a value t within the interval [0, t]. i As the coordinates of the center of the base circle of the cone; S5: Repeat steps S2-S4 until the number of abrasive particles generated reaches n; S6: Use the n abrasive models generated in step S5 to generate a simulation graphic of the grinding wheel working layer; S7: Calculate the wear amount of the precision single-layer electroplated grinding wheel caused by dressing based on the simulation graphic of the grinding wheel working layer obtained in step S6. ; S8: Calculate the design dimension r of the single-layer electroplated grinding wheel substrate that requires no dressing. 无修 And based on the loss amount obtained in step S7 The precision single-layer electroplated grinding wheel substrate dimension r was calculated. 精密 for: r 精密 =r 无修 + 。 2. The precision single-layer electroplated grinding wheel substrate design method according to claim 1, characterized in that, The normal distribution mentioned in step S1 refers to the nominal screen size of the abrasive particle size specified in the national standard GB / T 6406. The expected μ is the average particle size of the abrasive. The standard deviation σ of the normal distribution parameter can be calculated by using the upper screen size and the proportion of residual abrasive on the upper screen through the normal distribution and the expected μ.

3. The precision single-layer electroplated grinding wheel substrate design method according to claim 2, characterized in that, The method described in step S2 for randomly generating two parameters that conform to a normal distribution based on the expected value μ and the standard deviation σ, and defining the two parameters as the base diameter d and the height h of the cone, is as follows: input the expected value μ and the standard deviation σ from step S1 into the normrnd() function in MATLAB, randomly generate normal distribution values ​​N1 and N2, take Max(N1,N2) as the base diameter d, and take Min(N1,N2) as the height h of the cone.

4. The precision single-layer electroplated grinding wheel substrate design method according to claim 3, characterized in that, The method for setting the uniform distribution interval A in step S3 is as follows: if the abrasive is cBN abrasive, the interval is set to [-1,1]; if the abrasive is diamond abrasive, the interval is set to [-0.5,0.5].

5. The precision single-layer electroplated grinding wheel substrate design method according to claim 3 or 4, characterized in that, If the value c is positive, the projection point on the bottom circle is to the right of the center of the circle; if the value c is negative, the projection point on the bottom circle is to the left of the center of the circle.

6. The precision single-layer electroplated grinding wheel substrate design method according to claim 5, characterized in that, The random generation of a value c that conforms to the uniform distribution in step S3 and the random generation of a value t in step S4 i All methods utilize the rand() function in MATLAB to generate random numbers.

7. The precision single-layer electroplated grinding wheel substrate design method according to claim 6, characterized in that, The method for generating a simulated grinding wheel working layer using the generated n abrasive particles in step S6 is as follows: S61: Construct a rectangular coordinate system with the X-axis along the thickness direction of the grinding wheel substrate and the Y-axis along the radial direction of the grinding wheel substrate. The 0 point is the leftmost end of the outer contour of the grinding wheel substrate. S62: Select the nth cone, based on the diameter d of the cone's base circle. n The height h of the cone n Conical shape parameter c n The coordinates of the center of the circle (x) n This yields a triangle A. n The triangle A n The base length is d n The coordinates of the center of the base are (x n ,0), vertex coordinates are ( , h n ); S63: Calculate triangle A generated in step S62. n Represent the two sides of triangle A, excluding the base, using two linear functions of the form y = kx + b. n The two hypotenuses; S64: In the interval [ Every unit length within ] If we take a point, then the coordinates of the m-th point of the n-th cone are ( h nm ),in h nm For x= The function value of the piecewise function of the nth triangle; S65: Based on the data generated in step S64, classify by x-coordinate value, with an interval of [missing information]. The y-coordinate data corresponding to each x-coordinate value are represented as {h1, h2, ...}, where h1, h2, ... represent the abrasive height at the current x-coordinate. S66: Statistical analysis of electroplated grinding wheel thickness intervals [0, t] at intervals per unit length The maximum value of all corresponding y-coordinates forms the data set hu={u* max(h1,h2,…)}, where Each x-coordinate value corresponds to a y-coordinate value, forming an overlay graphic.

8. The precision single-layer electroplated grinding wheel substrate design method according to claim 7, characterized in that, Step S7 involves calculating the wear and tear of the precision single-layer electroplated grinding wheel caused by dressing. The method is as follows: calculate the profile of the simulated working layer of the grinding wheel, and the calculated value is P. 实际 Let the required profile value of a precision single-layer electroplated grinding wheel be P. 需求 This allows us to obtain the amount of wear caused by dressing a precision single-layer electroplated grinding wheel. for: P 实际 -P 需求 。 9. The precision single-layer electroplated grinding wheel substrate design method according to claim 8, characterized in that, The calculated value P in step S7 实际 P is the range of distances between data points in step S6 along the normal direction of the grinding wheel working layer shape; for simple surfaces, if the grinding wheel has a straight working layer, P 实际 P is the maximum distance between two data points calculated along the perpendicular direction of the straight line; if the grinding wheel is a circular arc working layer, P 实际 P represents the range of distances from all data points to the center of the circle; if the grinding wheel is a complex curve or a working layer containing at least two combinations of straight lines, arcs, and complex curves, then P 实际 The maximum value of the profile calculated individually for each working layer shape.

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