智能截齿切削岩石的参数研究外文文献翻译、中英文翻译、外文翻译
智能截齿切削岩石的参数研究外文文献翻译、中英文翻译、外文翻译,智能,切削,岩石,参数,研究,外文,文献,翻译,中英文
W. Shao et al. / Tunnelling and Underground Space Technology 61 (2017) 134–144 167
Tunnelling and Underground Space Technology 61 (2017) 134–14
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Parametric study of rock cutting with SMART⁄CUT picks
Wen Shao a,b,⇑, Xingsheng Li b, Yong Sun b, Han Huang a
a School of Mechanical and Mining Engineering, The University of Queensland, QLD 4072, Australia b CSIRO Energy Flagship, PO Box 883, Kenmore, QLD 4069, Australia
a r t i c l e
i n f o
a b s t r a c t
Article history:
Received 18 August 2015
Received in revised form 18 September
2016
Accepted 20 September 2016
Keywords:
Rock cutting
SMART⁄CUT pick
Cutting forces
Taguchi method
Multiple linear regression
Neural network
The severe abrasive wear of the current cemented tungsten carbide (WC) tools is a ‘‘bottleneck” that limits the usage of machinery in hard rock mines. To address this issue, a revolutionary thermally stable diamond composite (TSDC) based cutting tool, also called Super Material Abrasive Resistant Tool (SMART⁄CUT) was developed by CSIRO. Before this novel tool is employed for practical rock cutting, the effects of the cutting parameters on the performance of the SMART⁄CUT picks must be determined and the cutting forces of the picks have to be estimated as they directly affect the capability and efficiency of the selected cutterhead and hence the excavation machine. In this study, rock cutting tests based on Taguchi’s L25 orthogonal array were conducted to analyze the cutting parameters. The signal-to-noise (S/N) ratios and the analysis of variance (ANOVA) were applied to investigate the effects of depth of cut, attack angle, spacing and cutting speed on mean cutting and normal forces during the rock cutting process. Empirical models for predicting the cutting forces on SMART⁄CUT picks were developed using multiple linear regression (MLR) and artificial neural network (ANN) techniques. Parametric combinations for minimizing the cutting forces and the statistical significance of process factors were successfully determined by using the Taguchi technique. Good prediction capabilities with acceptable errors were achieved by the developed MLR and ANN models. However, the ANN models offered better accuracy and less deviation.
2016 Elsevier Ltd. All rights reserved.
1. Introduction
Excessive abrasive wear of traditional refractory carbides, diamond impregnated metal matrix composites (DIMMC) or polycrystalline diamond compact (PDC) cutting elements has hindered the use of mechanical excavators as the temperature at the tool-rock interface could exceed 1300 C when cutting hard rock (Boland et al., 2002; Li and Boland, 2005; Martin and Fowell, 1997). Hence, by changing the binder material from metallic cobalt to ceramicbased silicon carbide (SiC) during the sintering process, CSIRO (Commonwealth Scientific and Industrial Research Organisation) has explored a new diamond composite called thermally stable diamond composite (TSDC). The use of SiC as the binder material is beneficial to the mechanical stability of TSDC at high temperatures as it does not act as a catalyst for the decomposition of diamond to graphite even up to a high temperature of 1350 C. CSIRO developed the SMART⁄CUT (Super Material Abrasive Resistant Tool) rock cutting pick that has a TSDC cutting element bonded into the steel body of the pick using CSIRO’s worldwide
⇑ Corresponding author at: School of Mechanical and Mining Engineering, The University of Queensland, QLD 4072, Australia.
E-mail address: shaowen_2013@163.com (W. Shao).
http://dx.doi.org/10.1016/j.tust.2016.09.012
0886-7798/ 2016 Elsevier Ltd. All rights reserved.
patented bonding technology. The successful development of the so called SMART⁄CUT technology, indicates a great promise for the employment of these cutting tools in hard rock mines. The main advantages of TSDC-tipped SMART⁄CUT picks are (a) good thermal stability, (b) high wear resistance and (c) the ability to mine harder deposits compared to point attack picks using tungsten carbide (WC) inserts (Li and Boland, 2005; Li et al., 2011; Shao et al., 2014). The previous research at CSIRO focused on the investigation of the wear characteristics of the solid, moulded TSDC cutting elements (Boland et al., 2002; Boland and Li, 2010; Li and Boland, 2005). It is evident that the wear resistance of TSDC elements was over one thousand times greater than that of cemented WC (Li and Boland, 2005). However, like other high wear resistance materials, the fracture toughness of TSDC is much less than that of WC. Therefore, the SMART⁄CUT picks may not be directly applicable to the current cutterheads on mechanical mining machinery as they are all based on WC point attack picks that have different material properties and cutting geometries compared with such parameters required for TSDC-based picks (Li and Boland, 2005).
Before the employment of SMART⁄CUT picks in a rock excavation machine, it is important to estimate the magnitude of cutting forces applied to the picks under different cutting scenarios, in order to calculate the cutterhead torque and cutter motor power for any set of geological formations, cutterhead design, and operational conditions of the machine (Goktan and Gunes, 2005; Yilmaz et al., 2007). Full-scale laboratory rock cutting tests are the most accepted, reliable and precise method that is needed to determine the cutting forces acting on an individual pick; the forces measured in these tests can be used as direct input into cutterhead design software to determine the capability and efficiency of the selected cutterhead and excavation machines (Balci et al., 2004; Copur et al., 2001; Hood and Alehossein, 2000; Rostami et al., 1994; Su and Ali Akcin, 2011; Tiryaki et al., 2010; Yilmaz et al., 2007). Moreover, excessive forces on the picks may result in premature fracture damage of the TSDC elements, damage the machine components and exceed the machine’s torque and thrust capacities (Bilgin et al., 2006). Therefore, it is crucial to select the cutting parameters to minimize cutting forces.
In this study, the Taguchi method is initially employed to find out the critical cutting parameters that influence the rock cutting process. Then, multiple linear regression and neural network techniques are adopted to develop empirical models of the cutting forces on SMART⁄CUT picks as a function of depth of cut (DOC), attack angle, pick spacing and cutting speed. The performances of these models are also discussed.
2. Experimental details
2.1. Full-scale linear rock cutting tests
As illustrated in Fig. 1, the linear rock cutting tests were conducted on the CSIRO’s rock cutting planer. It consisted of a solid stationary main frame, a crosshead, a tri-axial force dynamometer and a cutting table (Fig. 2). The rock sample was mounted on the cutting table, and moved against the stationary cutting tool during the experiments. The cutting table and rock were driven horizontally by a hydraulic ram. The travelling stroke of the table was 3 m and its speed could be controlled from 0.1 to 3.0 m/s. The rock specimen was embedded in a steel tray which was rigidly secured to the cutting table. Both sides of the rock were also clamped to prevent from splitting when the cutting groove was near the edges of the rock block. This arrangement was able to accommodate rock blocks with dimensions of 450 450 1800 mm.
The cutting tool was adjusted both laterally and vertically, which allowed the cutting tool to be set to its required position relatively to the rock block. The setting of the cutting tool was manually driven by turning a handle (gears and screw system). Once the desired DOC (penetration) was achieved, the tool was secured into position using heavy screw threads and stops. An accuracy of 0.05 mm of penetration was achieved using a laser displacement
Fig. 1. Schematic view of the linear rock cutting planer.
Fig. 2. Photograph of the linear rock cutting planer.
sensor attached to the cutter assembly. A tri-axial dynamometer and data acquisition system were bolted to the crosshead to record the cutter forces. The data sampling rate was set as 3200 Hz. The control of linear rock cutting machine was carried out by a PC equipped with LabVIEW software and a National Instruments A/D card.
In this study, only the orthogonal force components Fc and Fn (cutting and normal forces) were taken into consideration for the cutting performance analyses because the magnitude of the sideway force Fs was always negligible compare to that of cutting and normal forces (Fig. 3).
2.2. Cutting tool
Fig. 4 shows the TSDC tipped SMART⁄CUT pick developed by CSIRO, used as the cutting tool in all the tests. The pick had a gauge of 70 mm, flange diameter of 50 mm, shank diameter of 30 mm and tip diameter of 16 mm.
2.3. Rock sample and its properties
A block of Helidon Sandstone, collected from a local mining quarry near Brisbane Australia was used as the test sample; it had dimensions of 450 mm 450 mm 1700 mm. Its mechanical properties including density, uniaxial compressive strength (Fig. 5a), Brazilian tensile strength (Fig. 5b), Young’s modulus and Poisson’s ratio are given in Table 1.
Four core samples were prepared for the UCS and elastic properties tests. As can be seen from Fig. 6, the UCS values of the rock samples were consistent with an average UCS of 57 MPa. Fig. 7 shows the typical stress-strain curves of the core samples obtained from the elastic property tests.
2.4. Experimental design using Taguchi method
The Taguchi method is a popular and efficient experimental design technique to investigate how different parameters affect the mean and variance of a process performance characteristic. The approach can optimize performance characteristics by optimizing the settings of design parameters and reduce the sensitivity of system performance to environmental conditions and variations (Lin and Chou, 2008). The Taguchi method overcomes the limitation of full factorial design which has to test all the possible combinations of a process. A set of well-balanced experiments is organized by the manipulation of orthogonal arrays (OA), which
Fig. 4. SMART⁄CUT pick.
Fig. 5. Experiment set-up for uniaxial compressive strength tests (a) and Brazilian tensile strength tests (b).
Table 1
Properties of the Helidon sandstone.
Density (g/cm3)
Uniaxial compressive strength (MPa)
Brazilian tensile strength (MPa)
Young’s modulus (GPa)
Poisson’s ratio
2.28
57
5.8
25.5
0.15
Fig. 6. Stress-strain curves of the UCS tests.
Fig. 7. Stress-strain curves of the investigated rock sample.
allows the necessary data to be collected with a minimum amount
of experimentation (Datta et al., 2009).
In the present work, the main cutting parameters, DOC, attack angle, pick spacing and cutting speed were selected as the input variables. A 5-level and 4-factor L25 OA was used to design the rock cutting experiments. The selected process parameters and their corresponding levels are shown in Table 2. The experimental layout for the cutting parameters using Taguchi’s L25 orthogonal array is shown in Table 3. By the manipulation of Taguchi’s orthogonal design matrix, the required tests reduced from 625 (5 5 5 5) to 25, which significantly decreased cost, time and effort.
Table 2
1
2
3
4
5
A Attack angle
hA
degree
45
50
55
60
65
B Depth of cut
d
mm
6
9
12
15
18
C Spacing
s
mm
24
36
48
60
72
D Cutting speed
v
m/s
0.5
1
1.5
2
2.5
Symbol
Parameters
Notation
Unit
Levels of factors
Process parameters and their levels.
Table 3
Taguchi’s L25 orthogonal array design.
Test no.
A B C D
1 1 1 1 1
2 1 2 2 2
3 1 3 3 3
4 1 4 4 4
5 1 5 5 5
6 2 1 2 3
7 2 2 3 4
8 2 3 4 5
9 2 4 5 1 10 2 5 1 2
11 3 1 3 5
12 3 2 4 1
13 3 3 5 2
14 3 4 1 3
15 3 5 2 4
16 4 1 4 2
17 4 2 5 3
18 4 3 1 4
19 4 4 2 5
20 4 5 3 1
21 5 1 5 4
22 5 2 1 5
23 5 3 2 1
24 5 4 3 2
25 5 5 4 3
3. Results and discussion
Mean cutting force (MCF) and mean normal force (MNF) were selected as the response factors for the cutting performance analysis. The results obtained from the cutting tests are shown in Table 4. In the Taguchi method, the loss function which was further transformed into signal-to-noise (S/N) ratios is used to measure the quality characteristic deviating from the desired values (Taguchi et al., 2005). There are three types of S/N ratio (g) characteristics to obtain the output responses: nominal-the-best (NTB), smaller-the-better (STB), and larger-the-better (LTB) (Taguchi et al., 2005). The calculations of these S/N ratios are given in the following equations:
!
y2
gNTB ¼ 10log10 2 ð1Þ
Sy
1 n
gSTB ¼ 10log10 nXi 1y2i !
¼
ð2Þ
1 1
gLTB ¼ 10log10 nXi n1 y2i !
ð3Þ
¼
where gNTB, gSTB, and gLTB are the S/N ratios for the nominal-the-best, smaller-the-better, and larger-the-better cases, y the average value
Table 4
Experimental results and corresponding S/N ratios.
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19 20
21
22
23
24
25
2.66 4.58 6.32
8.88
11.35
3.41
5.70 7.03
7.20
5.76
3.05
3.36 5.25 4.78
7.12
2.20
3.59 3.47 6.13 6.31
3.03
3.51
4.50
7.47
8.90
8.51
13.21 16.02 18.96
21.10
10.65
15.11
16.94
17.14
15.21 9.69
10.54
14.40 13.58 17.05 6.84
11.09 10.80
15.75
15.99 9.62
10.90 13.06
17.46
18.99
3.20
6.27
9.69
14.45
19.09 5.08
10.01
12.58
8.50
6.46
4.63 3.39 5.83 5.58
8.63 2.41 4.29
3.73
7.20
5.69 3.56 4.13
3.96
7.08
8.40
10.10
15.94
19.72 23.20
25.62
14.12
20.01
22.00 18.59 16.20 13.32 10.60
15.31
14.94
18.72 7.64
12.64
11.42
17.14 15.11 11.03
12.33
11.95 17.00
18.48
Test no.
MCF
MNF
Result (kN)
Result (kN)
S/N (dB) S/N (dB)
of the observed data, Sy2 the variation of y, n the number of tests, and yi the values of observed test results. Since lower values of mean cutting and normal forces are desirable in rock cutting process, the smaller-the-better S/N quality characteristic was chosen in this study. The S/N ratios calculated by taken into consideration of Eq. (1) are also given in Table 4.
3.1. Determination of parametric combinations of cutting parameters
The mean S/N ratios of each process factors at different experimental levels were obtained by averaging their S/N ratios at corresponding levels. For example, the mean S/N ratio for attack angle at level 1 was determined by averaging the S/N ratios for the tests 1– 5 in Table 4. The mean S/N ratio for DOC at level 1 was calculated by averaging the S/N ratios for the tests 1, 6, 11, 16 and 21. The mean S/N ratios for other process factors at different levels were computed in the similar manner. All these mean S/N ratios produced the S/N responses, as shown in Table 5. Tables 5 and 6 show the S/N response tables for mean cutting and normal forces respectively.
Level 1
Level 2
Level 3
Level 4
Level 5
A Attack angle
B Depth of cut
C Spacing
D Cutting speed
18.92
11.24 13.00
13.27
18.18 14.30 15.58
14.42
14.58 16.08 17.03
15.98
12.79 18.17 16.38
16.88
14.16 18.83
16.64
18.08
6.13
7.58
4.03
4.80
Table 5
S/N response table for mean cutting force.
The objective quality characteristic of this study was thesmaller-the-better, which means the smallest magnitude of the cutting forces would be the ideal situation. Thus, the desired cutting condition of this study should be obtained with the maximum mean S/N ratio of each process factor according to the Taguchi method. The level of each parameter with the highest S/N ratio was highlighted in red circles in the S/N response graphs (Figs. 8 and 9).
The mean S/N ratio plot for mean cutting force is shown in Fig. 8. As can be seen from Fig. 8, the highest S/N ratio for mean cutting force was obtained at attack angle of 60 (level 4), DOC of 6 mm (level 1), spacing of 24 mm (level 1), and cutting speed of 0.5 m/s (level 1). Hence, the parametric combination for minimizing mean cutting force is A4B1C1D1.
Similarly, in Fig. 9 the highest S/N ratio for mean normal force was also obtained at attack angle of 60 (level 4), DOC of 6 mm (level 1), spacing of 24 mm (level 1), and cutting speed of 0.5 m/s (level 1). Therefore, A4B1C1D1 is also the parametric combination for minimizing mean normal force.
3.2. Analysis of variance (ANOVA)
ANOVA is an analysis tool used for studying the statistically significant parameters that influence the quality characteristic and identify the percent contribution ratio (PCR) of each process factor on output responses. The total variance of the response (i.e. the sum of squares of all the observation deviations from the grand mean) is decomposed into contributions related to each of the design parameter and the error (Datta et al., 2008). Thus, the total sum of squared deviations SST can be written as:
SST ¼ SSd þ SSe ð4Þ
where
n
SST ¼ Xðli lmÞ2 ð5Þ
i¼1
Here, SSd and SSe are the sum of squared deviations due to each design parameters and error respectively, n the number of experiments, li the mean response for ith experiment and lm the overall mean of the response.
The PCR of each design parameter is equal to the sum of squared deviations due to each design parameters SSd divided by the total sum of squared deviations SST. In the ANOVA table, the mean square deviation (MS) is computed by dividing the sum of squared deviations SS by the number of degrees of freedom associated with
Symbol
Parameters
Mean S/N ratio (dB)
Max-min
Level 1
Level 2
Level 3
Level 4
Level 5
A
B C
D
Attack angle
Depth of cut
Spacing
Cutting speed
15.56 9.06
11.80
13.05
15.01 12.17 13.94
13.42
13.05 14.24
14.86
14.07
12.09 16.58 14.45
14.31
14.01 17.67 14.67
14.87
3.47
8.61
3.06
1.83
Table 6
S/N response table for mean normal force.
Symbol Parameters Mean S/N ratio (dB) Max-min
Fig. 9. Mean S/N ratio graph for mean normal force.
the design parameter or error. Then, the ratio of mean squared deviation (MSd) due to each factor to the mean squared due to error (MSe) is defined as the F-value or Fisher’s F ratio (Yang and Tarng, 1998). P-value (probability of significance) is then determined from the F-value. If the P-value for a factor is equal to or smaller
Table 7
Factor
DF
Seq SS
Adj SS
Adj MS
F ratio
P
Contribution (%)
Attack angle
4
18.12
18.12
4.53
9.36
0.00
14.52
DOC
4
81.92
81.92
20.48
42.32
0.00
65.66
Spacing
4
14.91
14.91
3.73
7.70
0.01
11.95
Cutting speed
4
5.95
5.95
1.49
3.07
0.08
4.77
Error
8
3.87
3.87
0.48
3.10
Total
24
124.77
100.00
Table 8
Results of ANOVA for mean nor
mal force.
Factor
DF
Seq SS
Adj SS
Adj MS
F ratio
P
Contribution (%)
Attack angle
4
123.57
123.57
30.89
13.98
0.00
33.65
DOC
4
108.98
108.98
27.25
12.33
0.00
29.68
Spacing
4
47.77
47.77
11.94
5.40
0.02
13.01
Cutting speed
4
69.19
69.19
17.30
7.83
0.01
18.84
Error
8
17.68
17.68
2.21
4.82
Total
24
367.18
100.00
Results of ANOVA for mean cutting force.
than the significance level 0.05 (confidence level 95%), it suggests that the contribution of the factor is significant.
The results of ANOVA for mean cutting and normal forces are presented in Tables 7 and 8, respectively. The percentage contribution ratios of cutting parameters on mean cutting and normal
Fig. 10. The contribution pie of mean cutting force.
Fig. 11. The contribution pie of mean normal force.
forces are shown in Figs. 10 and 11, respectively. It can be found from Table 7 that attack angle, DOC and spacing are the statistically significant factors influencing the mean cutting force as the P-value of these factors are much less than 0.05. It is also observed from Table 7 and Fig. 10 that th
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