In the actual machining process of nickel base superalloy, the machining surface precision of the workpiece is low, the tool is easy to collapse, and the tool wear wear is serious. In the process of machining, the tool needs to be changed many times, the machining efficiency is low, and the cost of capital is large. With the rapid development of computer-aided technology, the finite element simulation technology is widely used in the field of metal cutting. Through the finite element simulation technology, not only the test cost can be reduced, but also the test cycle can be shortened, Revealing the essence of the actual cutting process and predicting potential problems that may arise during the actual cutting process, the application of finite element simulation technology has good guiding significance for actual production and processing. In this paper, the finite element software DEFORM is used to establish the simulation model of carbide tool milling GH4169, and analyze the influence of three cutting elements on carbide tool wear.
2.4. Establishment of Tool Wear Prediction Model for Ordinary Milling
In order to accurately calculate the empirical formula of the prediction model for maximum tool wear, this chapter adopts the orthogonal experimental method. The effects of spindle speed, feed rate per tooth and cutting depth on tool wear are mainly studied; Compared with multi tooth continuous cutting, the tool wear of this intermittent cutting simulation is smaller, and the wear difference between teeth is larger;
The selection of orthogonal experimental factors and levels needs to follow certain principles. There are different orthogonal experimental tables for different factors and levels. Choosing a suitable orthogonal experimental plan can generally be divided into the following steps:
(1) Determine the number of columns, which is the number of influencing factors;
(2) Determine the number of levels, which means that each factor has several different values;
(3) Select an orthogonal table, mainly based on the number of columns and levels determined in the first two steps;
(4) The order of column numbers, prioritizing the factors that need to be examined for interaction, and placing other factors without interaction in the following columns;
(5) Implement the plan according to the orthogonal experimental table.
This chapter designs 16 sets of orthogonal experiments with 3 factors, 4 levels, and the experimental factors are axial cutting depth ap, spindle speed n, and feed rate fz per tooth. From the actual situation, the values of each factor level are within the operating range of the machine tool. The experimental parameter range is as follows:
(1) Spindle speed n: 3000-4500r/min;
(2) Axial cutting depth ap: 0.2-0.5mm;
(3) The feed rate per tooth fz: 0.1-0.4mm/r.
The orthogonal experiment and simulation data are shown in
Table 2:
Establish an M file using MATLAB software, and input the cutting force values and milling parameters in the equation into the program for multiple linear regression [25-26] calculation. Input:
y=[-0.2541 ,-0.3019 ,-0.4647 ,-0.4547 ,-0.4123 ,-0.1090 ,-0.4572 ,-0.3526 ,-0.6819 ,-0.4908 ,0.0043 ,-0.1904 ,-0.5100 ,-0.4401 ,-0.1439 ,-0.0467];
x1=[3.4771 ,3.4771 ,3.4771 ,3.4771 ,3.5441 ,3.5441 ,3.5441 ,3.5441 ,3.6021 ,3.6021 ,3.6021 ,3.6021 ,3.6532 ,3.6532 ,3.6532 ,3.6532];
x2=[-0.6990 ,-0.5229 ,-0.3979 ,-0.3010 ,-0.6990 ,-0.5229 ,-0.3979 ,-0.3010 ,-0.6990 ,-0.5229 ,-0.3979 ,-0.3010 ,-0.6990 ,-0.5229 ,-0.3979 ,-0.3010];
x3=[-1.0000 ,-0.6990 ,-0.5229 ,-0.3979 ,-0.6990 ,-1.0000 ,-0.3979 ,-0.5229 ,-0.5229 ,-0.3979 ,-1.0000 ,-0.6990 ,-0.3979 ,-0.5229 ,-0.6990 ,-1.0000];
X=[ones(length(y),1),x1',x2' x3'];
Y=y';
[b,bint,r,rint,stats]=regress(Y,X);
b,bint,stats
According to the results obtained from MATLAB, a0=-1.9922, a1=0.4112, a2=0.5345, a3=-0.6866. Therefore, the multiple regression model is: y=-1.9922+0.4112x1+0.5345x2-0.6866x3.
The empirical formula for predicting the maximum wear of cutting tools can be obtained from the above: H=0.01•n0.4112•ap0.5345•fz-0.6866.
2.5. Linear Regression Significance Test
According to the results obtained from MATLAB, it can be concluded that:
(1) Tool wear regression system array:
a0=-1.9922, confidence interval of a0 (-3.9917, 0.0072),
a1=0.4112, confidence interval of a1 (-0.1472, 0.9695),
a2=0.5345, confidence interval of a2 (0.2881, 0.7808),
a3=-0.6866, confidence interval of a3 (-0.8487, -0.5244);
The statistical variable stats obtained: r2=0.9016, F=36.6678, p=0.0000, indicating a significant difference in p<α= 0.05.
Perform residual analysis on this coefficient and input: rcoplot (r, rint) in the MATLAB window to obtain the residual plot as shown in
Figure 3:
From the residual analysis chart, it can be seen that except for the 9th data, the residuals of all other data are close to zero, and the confidence intervals of the residuals all include zero, indicating that the regression model can better match the original data. The 9th data can be regarded as an outlier, and it is believed that the regression model is reliable [
27].
From the above, it can be concluded that the regression model y=-1.9922+0.4112x1+0.5345x2-0.6866x3 is valid. Therefore, the empirical formula for maximum tool wear H=0.01•n0.4112•ap0.5345•fz-0.6866 has significant significance.
2.6. Analysis of Impact Patterns
The range analysis method can be used in the analysis of orthogonal experimental results to obtain the primary and secondary order of the influence of various factors on the target parameters, the optimal combination scheme, and the influence law of the influencing factors on the target parameters. Therefore, it has a wide range of applications [
28]. To obtain the order of the influence of the three cutting elements on the maximum tool wear, the range analysis method was used to analyze the simulation results, as shown in
Table 3:
Figure 4 shows the trend of the influence of spindle speed n, axial cutting depth a
p, and feed rate f
z per tooth on the maximum wear of the tool. Based on this graph, the variation of the maximum wear of the tool when each parameter changes can be intuitively seen. By analyzing the range table and indicator factor trend chart, it can be concluded that:
(1) The degree of influence of each milling parameter on the maximum tool wear H is in descending order of fz, ap, and n. Among them, fz has a greater impact, ap has a moderate impact on the maximum tool wear, and n has a smaller impact on the maximum tool wear. From the perspective of reducing tool wear, the optimal combination of milling parameters is n=3000 r/min, ap=0.2 mm, fz=0.4 mm/r.
(2) It can be seen from Figure a that the tool wear increases with the increase of the spindle speed. When the speed is between 3000-4000 r/min, the increment of the maximum tool wear is relatively large. When the speed is between 4000-5000 r/min, the increment of tool wear decreases. As the rotational speed increases, the thickness of the workpiece material in contact with the tool per unit time also increases, and the impact force received is relatively large. The cutting force also increases, resulting in a sharp increase in tool wear. As the spindle speed increases to a certain extent, the chip is generated faster, which will take away most of the heat, the tool temperature decreases, and the tool wear speed is eased.
(3) It can be seen from Figure b that with the increase of axial cutting depth, the tool wear is gradually increasing. When the axial cutting depth increases from 0.2mm-0.4mm, the removal of material by the tool increases, resulting in an increase in work done, resulting in an increase in cutting force and temperature in the milling area, leading to an increase in tool wear; It should be noted that when the cutting depth is small or micro, it can cause scraping or only cut to the hardened layer on the surface of the workpiece, resulting in significant wear of the tool and a decrease in tool life. Especially when rough machining the workpiece, the cutting depth should be increased as much as possible within the allowable range of machine power and technology. When the axial cutting depth is 0.4-0.5mm, the tool wear is relatively reduced. In the cutting process, more heat is taken away due to the chip falling, and the tool temperature is also reduced, which alleviates the tool wear. In general, the tool wear increases with the increase of the axial cutting depth.
(4) The quantitative analysis of Figure (c) shows that when the feed per tooth increases, the tool wear gradually decreases, and when fz=0.4mm/rad, the tool wear reaches the minimum, 0.34805 μ m.