3.1 Influence of cutting parameters on thrust force and cutting temperature
CFRP is a kind of laminated material formed by bonded prepreg at a certain angle with epoxy resin as adhesive. Due to the structural properties of the laminated materials and the physical properties of the epoxy resin, the strength of CFRP in the plane of prepreg is high and the strength perpendicular to the plane direction is low. In the vertical direction when the thrust force is greater than the interlaminar strength of the workpiece during processing, the insufficient strength leads to the separation and cracking between the prepregs and then delamination is formed, resulting in the rapid reduction of workpiece strength. Therefore, it is of great significance to study the thrust force in CFRP orbital drilling to improve the machining quality.
The experimental parameters and the results in the test of the influence of cutting parameters on thrust force and cutting temperature in CFRP orbital drilling are listed in Table 2. The results of the test of between-subjects effects and regression analysis of thrust force are listed in Table 3 and Table 4.
Table 2
Experimental parameters and result
No.
|
Spindle speed
|
Tangential feed rate
|
Axial feed rate
|
Thrust force(N)
|
Maximum temperature (℃)
|
1
|
1
|
1
|
1
|
116.5
|
95.9
|
2
|
1
|
2
|
2
|
135.2
|
84.6
|
3
|
1
|
3
|
3
|
140
|
68.9
|
4
|
2
|
1
|
2
|
107.7
|
114.1
|
5
|
2
|
2
|
3
|
120.8
|
88.2
|
6
|
2
|
3
|
1
|
99.48
|
72.2
|
7
|
3
|
1
|
3
|
111.1
|
100
|
8
|
3
|
2
|
1
|
90.2
|
79.2
|
9
|
3
|
3
|
2
|
106.9
|
64.6
|
Table 3
Test of Between-Subjects Effects of thrust force
Dependent Variable: Thrust force
|
Source
|
Type III Sum of Squares
|
df
|
Mean Square
|
F
|
Sig.
|
Correct Model
|
2041.731a
|
6
|
340.288
|
58.737
|
0.017
|
Intercept
|
117393.033
|
1
|
117393.033
|
20263.314
|
0.000
|
Spindle speed
|
1269.304
|
2
|
634.652
|
109.548
|
0.009
|
Tangential feed rate
|
26.845
|
2
|
13.423
|
2.317
|
0.301
|
Axial feed rate
|
745.581
|
2
|
372.791
|
64.348
|
0.015
|
Error
|
11.587
|
2
|
5.793
|
|
|
Total
|
119446.350
|
9
|
|
|
|
Corrected Total
|
2053.318
|
8
|
|
|
|
a. R Squared=0.994 (Adjusted R Squared=0.997)
|
Table 4
Regression analysis of thrust force
Model
|
Unstandardized Coefficients
|
Standardized Coefficients
|
t
|
Sig.
|
B
|
Std. Error
|
Beta
|
(Constant)
|
105.460
|
9.437
|
|
11.175
|
0.000
|
Spindle speed
|
-0.014
|
0.002
|
-0.752
|
-6.206
|
0.002
|
Tangential feed rate
|
29.622
|
35.879
|
0.100
|
0.826
|
0.447
|
Axial feed rate
|
2190.667
|
448.489
|
0.592
|
4.885
|
0.005
|
Dependent Variable: Thrust force
|
It can be found that the F value of the model test is 58.737, Sig.<0.05, so the model is statistically significant. The significance of spindle speed and axial feed rate is less than 0.05, which shows that the change of the spindle speed and axial feed rate has a prominent effect on the thrust force, while the effect of tangential feed rate on the thrust force is inconspicuous. By observing the normalized coefficient of regression analysis results, it can be found that spindle speed is the most crucial factor affecting the thrust force in CFRP orbital drilling, which has a negative correlation, the axial feed rate is positive to the thrust force of machining. That is, the increasing of spindle speed can reduce the thrust force, and the decreasing of the axial feed rate also can reduce the thrust force generated in orbital drilling.
The strength of epoxy resin is sensitive to temperature. A large number of studies show that the increase of processing temperature will lead to the decrease of the CFRP matrix materials strength which is more prone to produce defect. In hole processing, the material that closer to the hole exit gets a higher cutting temperature. In test 1, the temperature of the marked point Sp2 which is 1.5mm away from the lower surface of the workpiece was compared. The result of the test of between-subjects effects and regression analysis of maximum temperature is listed in Table 5 and Table 6.
Table 5
Test of Between-Subjects Effects of maximum temperature
Dependent Variable: Maximum temperature
|
Source
|
Type III Sum of Squares
|
df
|
Mean Square
|
F
|
Sig.
|
Correct Model
|
2042.280a
|
6
|
340.380
|
22.117
|
0.044
|
Intercept
|
65484.810
|
1
|
65484.810
|
4255.023
|
0.000
|
Spindle speed
|
178.207
|
2
|
89.103
|
5.790
|
0.147
|
Tangential feed rate
|
1820.687
|
2
|
910.343
|
59.152
|
0.017
|
Axial feed rate
|
43.387
|
2
|
21.693
|
1.410
|
0.415
|
Error
|
30.780
|
2
|
15.390
|
|
|
Total
|
67557.870
|
9
|
|
|
|
Corrected Total
|
2073.060
|
8
|
|
|
|
a. R Squared=0.985 (Adjusted R Squared=0.941)
|
Table 6
Regression analysis of maximum temperature
Model
|
Unstandardized Coefficients
|
Standardized Coefficients
|
t
|
Sig.
|
B
|
Std. Error
|
Beta
|
(Constant)
|
117.228
|
11.846
|
|
9.896
|
0.000
|
Spindle speed
|
-0.001
|
0.003
|
-0.050
|
-0.332
|
0.754
|
Tangential feed rate
|
-278.211
|
45.037
|
-0.935
|
-6.177
|
0.002
|
Axial feed rate
|
326.667
|
562.967
|
0.088
|
0.580
|
0.587
|
Dependent Variable: Maximum temperature
|
The result shows that the F value of the model test is 22.117, and Sig.<0.05, so the model used is statistically significant. Among the three factors, only the tangential feed has a significant effect on the maximum temperature of the side wall in the process of machining, which is less than 0.05. The result of regression analysis shows that the tangential feed rate has a negative correlation with maximum temperature.
Therefore, when the diameter of the tool and hole is determined in CFRP orbital drilling, the thrust force can be reduced by properly enhancing the spindle speed and reducing the axial feed rate. And the machining temperature can be reduced by increasing tangential feed rate appropriately.
3.2 Influence of tool diameter on cutting performance
Orbital drilling is a method with machining flexibility. Because of the tools’ eccentric machining, the tools of the same size can be used to make holes of different sizes, and the holes of the same size can also be processed with tools of different sizes by adjusting the eccentricity. It can be seen that in orbital drilling, the influence of the selection of tool diameter on the machining performance has to be taken into account, except for cutting parameters influence. In the second experiment, the influence of tool size on machining performance was analyzed by comparing thrust force, tool wear, geometric accuracy and exit quality of the holes with the same diameter processed by the tool with different sizes.
The tool abrases during the removing of material, so both of the bottom edges and peripheral cutting edges wear during orbital drilling. The bottom edge drills the material in orbital drilling, which directly affects the magnitude of the thrust force. Fig. 2 shows the flank wear of bottom edges and the changes of thrust force.
Figure 2a records the flank wear of the bottom edges of the tool with different diameters when machining 100 holes with diameters of 10mm. It can be seen that with the increase of the number of holes processed in orbital drilling, the flank wear of bottom edges increases gradually, and the wear speed of bottom edges is related to the diameter of the tool. The bottom edges with a larger diameter get a more severe wear when the same number of holes are processed. The flank wear of bottom edge decreases as the tool size decreases. At the 100th hole, the bottom edge's flank wear of the tool with the diameter of 9mm is 0.298mm, while the wear of the bottom edge with the diameter of 5mm is only 0.168mm. Fig. 2b shows the influence of the quantity of holes processed on the thrust force by tool of different sizes during steady machining. As can be observed, with the same cutting condition and processing quantity, the thrust force generated by the tool is affected by tool diameter, the larger tool diameter is, the larger thrust force will be. With the increase of machining quantity, the thrust force produced by different sizes of cutting tools increases slightly, but the gradient of thrust force has no obvious difference. Therefore, the selection of cutter size has an essential effect on the machining thrust force in orbital drilling.
In orbital drilling, the wear of peripheral cutting edges affects the geometric accuracy of the hole. Fig. 3 records the flank wear of peripheral cutting edges and the geometric accuracy variation of the hole with the increase of the machining quantity.
Only a small part of the peripheral cutting edge near the bottom edges participates in processing in orbital drilling, the flank wear also occurs in this part at first. As can be observed in Fig. 3a, after 20 holes processed the peripheral cutting edge tool wear of the 5mm diameter tool reached the width of the blade on the peripheral cutting edge. The tool with diameter of 6mm reaches the maximum value after 30 holes are machined, while the tool of 7mm reaches width of the blade when 70 holes are machined. Hereafter, the flank wear of peripheral cutting edges remains unchanged and can not show the degree of wear. With the number of holes machined increases, the diameter of the peripheral cutting edge where close to the bottom edge decreases. Resulting in a small amount of material can not be removed completely. At this time, the cutting edge adjacent to the worn part of the peripheral cutting edge begins to participate in cutting, which is also the reason why the tool can still be used in orbital drilling after serious wear on the flank of the peripheral cutting edge.
From the flank wear of peripheral cutting edge of the front 20 holes, it can be seen that the wear speed of the peripheral cutting edge has a negative correlation with the tool diameter. That means machining holes with fixed size, the larger the tool used, the smaller the eccentricity in processing, and the slower the wear speed of peripheral cutting edges.
In orbital drilling, the material on the hole wall is mainly removed by the peripheral cutting edge, with the increase of the number of machined holes, the wear of peripheral cutting edge intensifies and the dimensional deviation of the holes increases gradually. Fig. 3b records the change of hole diameter caused by the increase of machining quantity of tools with different sizes. As can be seen that with the increase of the number of tools, the diameter of machined holes is also gradually decreased, but the diameter changing speed of tools with different sizes is also different. Compared with the first hole machined by the tool of 5mm, the hole diameter of the 100th reduces about 60 micrometers, in contrast after machining 100 holes, the diameter of the hole machined by the tool of 9mm decreases about 25 micrometers. According to the changes of hole diameter fitting results, there is a negative correlation between tool diameter and changing speed of hole diameter in machining. The underlying cause is that when machining holes with the same size in orbital drilling, tools with a smaller diameter need to be processed with a larger eccentricity, thus leading to a larger Rm&d. Compared with the bottom edges, peripheral cutting edge removes majority of materials in orbital drilling, resulting in the rapid wear of peripheral cutting edge, brings about a decrease of tool diameter, which affects the diameter of machined hole.
3.3 Influence of Rm&d on cutting performance
The ratio between drilling and milling is the ratio of the material removed by the peripheral cutting edges to the material removed by the bottom edges in orbital drilling[24], as indicated in Eq. (1)
Where Rm&d is the ratio between drilling and milling, Vm is the volume of material removed by milling, Vd is the volume of material removed by drilling, Rh is the radius of the hole, Rt is the radius of the tool.
Generally, the diameter of the tool used in orbital drilling is smaller than the diameter of the hole and larger than the radius of the hole, so the Rm&d in orbital drilling is a value between 0 and 3. Fig. 4 shows the influence of ratio on thrust force of tools with different diameters. As can be seen, changing the Rm&d by adjusting the eccentricity has no effects on the thrust force of steady machining in orbital drilling, while the tool diameter has a significant effect on the thrust force.
In CFRP orbital drilling, when the bottom of the tool passes through the bottom of workpiece, the bottom edge pushes a small amount of material out of the lower surface of the workpiece to form a cap suspended at the exit, which is connected to the workpiece by a crescent material. As shown in Fig. 5, the area is surrounded by a solid red line. After the bottom edge passes through the workpiece, the bottom edge no longer cuts the material, and the thrust force generated by the bottom edge rapidly declines to zero. The peripheral cutting edge of the tool continue to cut the material remained at the exit, affected by the spiral groove of the tool, the thrust force generated by the peripheral cutting edge is opposite to the axial feed direction.
When the Rm&d in orbital drilling is small, that means the tool diameter is close to the hole diameter, the volume of the material removed by the peripheral cutting edge at the exit is relatively small, the action time is short and the upward thrust force is not apparent. The diameter of the hole increases gradually with the increase of the Rm&d. The volume of the material removed by the peripheral cutting edge at exit also increases. The cutting time of the peripheral cutting edge is gradually prolonged and the effect of upward thrust force becomes manifest. The experiment results show that the thrust force at exit has the same change tendency for all tools with different sizes. Fig. 6 records the thrust force at the Rm&d of 0.3, 1.5 and 3, when the tool with diameter of 7mm processes the material at exit. The curve depicts the rapid reduction of the thrust force when the tool breaks through the workpiece, and the thrust force of removing the material remaining at the exit by the peripheral cutting edge. It can be seen that with the increase of the Rm&d, the magnitude and action time of upward thrust force at exit increase significantly.
Delamination often occurs on the workpiece surface where lacking of material supporting. The delamination factor[25] which can characterize the level of damage caused by machining at entrance and exit was used to evaluate the exit quality. The factor Fd is the ratio of Dmax to Dnom (Fd is delamination factor, Dmax is the maximum diameter of damage zone, Dnom is the hole diameter). As indicated in Eq. (2) and shown in Fig. 7.

(2)
The exit quality of tools with different sizes at different Rm&d between drilling and milling is shown in Fig. 8. As can be observed, from the result in Fig. 4 and Fig. 8, the tool of 5mm gets the worst exit which machined at the Rm&d of 0.44 and a low thrust force at 55N. However, at the Rm&d of 3, the tool with the diameter of 8mm gets an undamaged exit with delamination factor of 1 at a thrust force of 110N. Therefore, the Rm&d also has an important impact on the machining quality. The curves of different sizes of tools in Fig. 8 have the same trend, the delamination factor at the exit is larger when the diameter of the tool is close to the hole, with the increase of the Rm&d, the delamination factors at exit decrease gradually, which means machining at a small Rm&d is not conducive to ensure exit quality. In consequence, using a smaller tool to obtain a larger Rm&d is helpful to improve the exit quality when machining holes of the same size in orbital drilling.
In addition to the influence of cutting parameters on cutting temperature in CFRP orbital drilling, the influence of the Rm&d of tools with different sizes on cutting temperature is also studied in this paper, the results are shown in Fig. 9.
As the results show, at the same Rm&d the temperature of the marked point is affected by the tool diameter, and the cutting temperature of the tool with a large diameter is higher. The cutting temperature is affected by the Rm&d, and forms a “spoon” shape curve, machining with a small or large Rm&d will produce a higher cutting temperature, and a lower cutting temperature can be obtained at the Rm&d near 1. In orbital drilling, the tool produces a cutting area which is larger than the tool diameter in the form of eccentric machining. The eccentricity is small when the Rm&d is close to zero, resulting in a small chip space. The friction between high temperature chips, the tool and machined surface increases the sidewall temperature of the workpiece. When the Rm&d is close to one, the chip space is enlarged with the increase of the eccentricity, which leads to a reduction of the friction and the decrease temperature of sidewall. When the Rm&d continues to increase, the volume of the material removed by drilling remains unchanged, the material removed by milling increases gradually and generates more heat, causing the temperature raise of peripheral cutting edge. Therefore, in CFRP orbital drilling, theRm&d should be a value between 0.7 and 1.5.