product quantity-quality optimization in cutting...
TRANSCRIPT
International Journal of Mechanical & Mechatronics Engineering IJMME-IJENS Vol:19 No:06 111
191706-2525-IJMME-IJENS © December 2019 IJENS I J E N S
Abstract— The applications of titanium alloys are widely used
for aerospace industry as this material possess light weight, high
strength, and excellent corrosion resistance. However, this
material has shown poor machinability with traditional cutting
operations. This is one of the reasons why alternatives operation
was investigated. The trading-off between attaining high
productivity and meeting the demanding requirements on high
surface finish are the biggest challenges for wire electrical
discharge machining (WEDM) to become alternative operation for
cutting. Both productivity and surface quality are key
performance evaluation in the WEDM operation, however, they
are always conflicting with each other. Therefore, the present
study highlights the application of a generic algorithm (GA) to
obtain optimal cutting parameter for high productivity and fine
surface finish simultaneously. In this study, the productivity is
identified through the term material removal rate (MRR) and the
quality surface finish is identified by arithmetic average surface
roughness value. The results revealed that parameter voltage has
strong influence on the surface roughness with a contribution
73.06% and table feedrate dominated other parameters with
86.16% contribution to the MRR. The optimized parameters yield
0.957 mm³/min for MRR and 0.167 µm for surface roughness as
the value predicted and recommended by GA.
Index Term— WEDM, Titanium Alloy, Multi-objective
optimization, Genetic Algorithm.
I. INTRODUCTION
Titanium alloys’ applications has been mainly found in
aerospace industries especially for aircraft airframe and engine
parts due to their combination of good mechanical and chemical
properties [1]. One of the common titanium alloys for these
applications is Ti-6Al-4V alloy. This material offers great
combination properties such as outstanding in strength-to-
weight ratio and excellent in opposition to the corrosion and
fatigue [2]. Despite those benefits, the rapid tool wear is among
the drawbacks possessed in term of machining operation with
traditional operations because of low thermal conductivity and
high chemical reactivity of titanium alloy properties that led to
the rise of cutting temperature and stimulate strong adhesion
between cutting tool and the workpiece [3], [4].
Therefore, the advanced machining process is favored over
the traditional operations for cutting of the Ti-6Al-4V alloy.
Wire electrical discharge machining (WEDM) is one of the
spark erosion-based advanced cutting process that utilized the
fundamental of electro-thermal conversion energy to cut the
conductive material by a series of discrete sparks. In WEDM,
there is no physical contact between the tool (electrode wire)
and the workpiece material, hence it can cut any type of
electrically conductive materials regardless of their mechanical
properties especially hardness [5], [6].
Generally, the performance of WEDM operation is evaluated
in terms of the productivity and the surface finish quality [7].
The productivity of the WEDM specifies as economics of the
operation that is usually identified by the term material removal
rate (MRR). The high value of MRR represent excellent
productivity. In term of the surface finish quality, the arithmetic
average surface roughness is usually used to represent the
cutting conditions of the surface. Additionally, low value of
arithmetic average surface roughness indicated excellent
quality of cutting surface. Both of this performance responses
strongly depend on the proper selection of the cutting parameter
[8], [9].
In most cases, the selection of WEDM cutting parameters is
done by machinist, and this method greatly depends on their
own experiences. Due to the variation in skill and experiences,
it is difficult to identify the ideal parameters in order to obtain
high productivity with good surface finish and also maintaining
the same quality for another batch cutting operations [10]. If the
optimum or near optimum parameter selected was not suitable,
the production cycle will become time-consuming and the
production efficiency will be low. In addition, obtaining
optimum parameter for more than one responses characteristics
requires one at a time trials that make numerous number of
experiment [11]. Even the ideal solution for one responses
characteristics could not be extend towards the other response
characteristics for example, in WEDM, as the surface quality
increases, the MRR that represent the productivity tends to
decrease, since the influence of parameters on surface quality
and the MRR possess are conflicting in nature, there is no
unique combination of cutting parameters that offer better
surface finish as well as high MRR simultaneously. Other than
that, identifying the best cutting parameter for both responses is
Product quantity-quality optimization in cutting
operations of aerospace grade titanium alloys by
wire electrical discharge machining M.A.M Zakaria1*, R. Izamshah1,2, M.S. Kasim1,2 and M.S.A Aziz1,2
1Cluster for Advanced Materials and Precision Engineering, Advanced Manufacturing Centre
(AMC), Universiti Teknikal Malaysia Melaka, Hang Tuah Jaya, 76100 Durian Tunggal, Melaka,
Malaysia. 2Faculty of Manufacturing Engineering, Universiti Teknikal Malaysia Melaka, Hang Tuah Jaya, 76100
Durian Tunggal, Melaka, Malaysia.
*Corresponding author: [email protected]
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very challenging because there are too many controllable
cutting parameters and several of the machine have
supplementary modes and controllers to regulate the stability of
cutting operations like reverse polarity, arcing controller,
rough-cut mode and finishing mode [12], [13],[14].
Therefore, it is essential to optimize quality and productivity
simultaneously. In this paper, an advanced multi-objective
optimization method which is genetic algorithm (GA) based on
evolutionary computation has been used to obtain optimal
parameters in the cutting of Ti-6Al-4V by WEDM. GA method
is inspired by the process of biological evolution since this
approach is capable to identify the optimal solutions without
assigning relative importance weightage to the response. Thus,
this made it a robust adaptive optimization method that offers
multiple solutions with just a single run without requiring any
gradient data and inherent parallelism in searching the design
space [15], [16].
A series of experiments was performed in this study, and the
effects of the cutting parameters on the MRR and surface
roughness has been identified through analysis of variance
(ANOVA) and regression analysis. Afterwards, the linear
regression equation has been generated to represent as fitness
function to be optimized by GA.
II. METHODOLOGY
The experiments were performed on Mitsubishi RA90
machine as shown in Fig. 1. This type of machine has special
features in which it is capable to control the degree of arc pulses
and short pulses and it is known as stabilizers by machine
manufacturers [6]. In this research study, to evaluate the
performance of each cutting parameters, all 10 controllable
cutting parameters (factors) were investigated. Table 1 and Fig.
2 show the details of the parameters and the descriptions.
Furthermore, the performance measures selected were MRR
and arithmetic average surface roughness (Ra) as target
functions (responses, outputs).
Fig. 1. WEDM experimental setup
Fig. 2. Fundamental of pulse characteristic for Mitsubishi RA90
TABLE I
WEDM RA90 PARAMETERS, LEVEL AND ITS FUNCTIONS
Parameters Level Functions
Open Circuit
Voltage (Vo) 4-16 Notch
Purposely for controlling the gap voltage
level during no-load. High value represents
high voltage.
Intensity of
Pulse (IP) 3-12 Notch
Purposely for controlling the peak current
concentration for flowing in the discharge
gap specific to normal pulse.
Off Time
(OFF)
1-10
Notch
Known as pulse-off time. Controls the time
interval in the middle of end and new of the
applied discharge.
Stabilizer A
(SA) 2-5 Notch
Purposely used to fine tuning the amperage
of current focus on controlling the arc pulse.
Stabilizer B
(SB) 3-15 Notch
Purposely used to fine tuning the pulse off-
time.
Stabilizer E
(SE) 1-5 Notch
Purposely used to controls the short pulse
and machining stability. Using high value
will decelerate the machining, but then the
breakage of wire will be difficult to occur.
Voltage Gap
(VG) 42-70 Volts
Controls the machining voltage at stable
conditions. Used regularly as a target value
during machining with optimum speed.
Electrode Wire
Speed (WS) 12-14 Notch
Controls the speed of wire. High value
represents the rapid wire feeding into
machining zone.
Wire Tension,
WT 11-14 Notch
Regulates the tension of the electrode wire.
High value represents high tension of wire
applied.
Table Feedrate 0.15-0.25
mm/min
Regulates the machine table feedrate. High
value represents faster motion of the
machine table.
An experiment with modified Taguchi L12 orthogonal array
methodology as design scheme was established as indicated in
Table 2, because it is noticeable that the influence of parameters
on the determined target function are nonlinear and
manufacturer’s suggestion parameter are restricted to certain
materials. Moreover, the wire ruptured during machining was
able to be eradicated and provide good combinations among the
parameters in ensuring the successful of cutting process by
using this new design scheme.
The design scheme has been analyzed with Minitab software
for analysis of variance (ANOVA) and the regression equation
has been developed. The Matlab software has been used to
perform the multi-optimization of cutting parameter in the
study.
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Table II
Experimental design and results
Run
Open Circuit Voltage (Notch)
Pulse Intensity (Notch)
Off Time
(Notch)
Stabilizer A
(Notch)
Stabilizer B
(Notch)
Stabilizer E
(Notch)
Voltage Gap
(Volts)
Electrode Wire Speed
(Notch)
Wire Tension (Notch)
Table FeedRate (mm/min)
1 16 6 1 3 11 5 47 12 11 0.25
2 16 7 1 5 9 5 52 12 11 0.25
3 16 6 1 4 9 5 42 12 11 0.25
4 12 4 1 2 12 1 44 12 13 0.25
5 9 4 1 2 15 1 57 12 13 0.25
6 9 4 1 2 15 1 57 12 13 0.25
7 10 12 1 2 15 1 55 14 13 0.25
8 8 4 1 2 12 1 48 12 13 0.25
9 5 3 10 2 3 1 70 12 13 0.15
10 6 3 10 2 5 1 70 12 13 0.15
11 8 3 10 2 3 1 50 12 14 0.15
12 4 3 8 2 3 1 70 12 13 0.25
Ti-6Al-4V with a thickness 10 mm has been used in this
study as workpiece material. The chemical compositions of the
workpiece material are; Al. 6.9; V. 4.1; C. 0.10; Fe. 0.30; Si.
0.15; O. 0.20; N. 0.05; H. 0.015. Hardness of the workpiece
material is at 36HRC [17].
The cutting process were performed using commercial non-
submersible type WEDM machine Mitsubishi RA90 and
additionally, brass electrode wire with diameter 0.25 mm has
also been used.
In order to ensure stability of the cutting process, deionized
water with 0.2 MPa pressure jet has been used to flush away the
debris in the cutting zone.
The cutting machined surface has been evaluated according
to arithmetic average surface roughness (Ra) by using portable
surface roughness tester (SJ-301, Mitutoyo) specifically with
regards to ISO 4287:1997. In order to obtain the value of MRR,
theoretical of equation 1 has been used. K was denoted as the
kerf width (mm), h was signified as thickness (mm) of the
workpiece materials and FR was signified as machine table
feedrate (mm/min). This kerf width was examined by using a
stereomicroscope (Meiji Techno EMZ-13TR).
𝑀𝑅𝑅 = 𝐾ℎ𝐹𝑅 (𝑚𝑚3/𝑚𝑖𝑛) (1)
III. RESULTS AND DISCUSSION
A. Effect of process parameters on MRR and Surface Roughness
ANOVA for MRR and surface roughness has been
performed in order to obtain information about the levels of
variability and quantify the influence of parameters to the
quality characteristics. Fig. 3, Table 3 and Table 4 summarized
the influence of parameters and its contribution to both
responses. Table III
ANOVA of MRR factors
Source
Degree
of
freedom
Adjusted
sum of
square
Adjusted
mean
square
F-Value %
Contribution
Vo 1 0.000165 0.000165 277.35 5.54
IP 1 0.000058 0.000058 98.12 1.95
OFF 1 0.000027 0.000027 45.76 0.91
SA 1 0.000022 0.000022 36.45 0.74
SB 1 0.000024 0.000024 39.59 0.81
SE 1 0.000030 0.000030 51.17 1.01
VG 1 0.000011 0.000011 19.34 0.37
WS 1 0.000058 0.000058 97.65 1.95
WT 1 0.000016 0.000016 26.79 0.54
Feedrate 1 0.002565 0.002565 4317.42 86.16
Total 11 0.328058
Table IV
ANOVA of surface roughness factors
Source Degree of freedom
Adjusted sum of square
Adjusted mean square
F-value % Contribution
Vo 1 0.12373 0.123734 68.74 73.06
IP 1 0.00026 0.000258 0.14 0.15
OFF 1 0.01164 0.011641 6.47 6.87
SA 1 0.00001 0.000014 0.01 0.01
SB 1 0.01283 0.012835 7.13 7.58
SE 1 0.00755 0.007553 4.2 4.46
VG 1 0.00579 0.005793 3.22 3.42
WS 1 0.00038 0.000381 0.21 0.22
WT 1 0.00269 0.002688 1.49 1.59
Feedrate 1 0.00266 0.002658 1.48 1.57
Total 11 7.33406
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Fig. 3. Percentage contribution of input cutting parameters for MRR and surface roughness
Fundamentally in WEDM, the rapidity of production and the
quality of the cutting surface textures depend on the voltage-
current pulse waveform. The pulse characteristics in WEDM
play important duty in energy conversion to create discharge
channel and simultaneously affect the size of formed crater on
the cutting surface [18]. The higher energy will remove high
volume of material and leave wide and deep crater size while,
low discharge energy will remove small amount of material
volume and leave tiny and shallow crater size.
In this study, all the parameters contributed to the voltage-
current pulse waveform especially the electrical parameters as
indicated in Fig. 2. Among the electrical parameters in this
research study, voltage open dominated other electrical
parameters for the MRR and surface roughness. By referring to
the F-value and percentage contribution, voltage open shows
strong influence with a contribution of 73.06% to the surface
roughness but not to MRR with only 5.54% which is behind the
parameter feedrate. As shown in Fig. 4 and Fig. 6, by increasing
voltage open from 4 to 16 notch, the MRR and surface
roughness increased. When high value of voltage is used, the
large energy is ionized during pre-breakdown which
subsequently eroded high volume of material by producing
wide and deep crater that indirectly deteriorated the surface
quality [19]. This phenomenon happens to both voltage
parameters which are the voltage open and voltage gap.
Another interesting parameter that is noteworthy for
discussion in this research study is table feedrate. By increasing
the feeding speed of workpiece to the machining zone, the high
MRR with low surface roughness can be achieved as indicated
in Fig. 5 and Fig. 7. The plausible explanation for this result is
that when feedrate increases, the time taken for the cutting
process is shorter which directly increased the MRR because to
obtain the MRR requires the machining time as input value that
represent the volume of material removed divided by
machining time [20]. Thus, machining time is shorter and high
MRR can also be achieved [21]. For surface roughness, the
occurrences of normal pulse have been taken over with short
and arc pulses when increasing the feedrate. Therefore, this
condition reduces the occurrence of effective discharge channel
carried by normal pulses [22].
Other than that, the surface finish of the cutting part improves
by applying high frequency off-time. In this research study,
there are two type of the off-time parameter which are the
parameter OFF and stabilizer-B. The only difference of
stabilizer-B from the parameter OFF is, stabilizer-B is used for
fine-tuning the pulse off-time, but both of these parameters
intentionally used for regulating the time interval in the middle
of end and new voltage applied. Moreover, these parameters are
dominated by other parameter on surface roughness responses
with percentage contribution 6.87% for OFF and 7.58% for
stabilizer-B but less influenced to the MRR with percentage
contribution 0.91% for OFF and 0.81% for stabilizer-B as
indicated in Table 4 and Fig. 3. These results are likely to be
related to the numerous numbers of sparks fell off during the
cutting process that causes less amounts of discharge occurring
for particular period resulting in small number of craters and
less damage on the surface [8]. This condition led to the
reduction in MRR and surface roughness value and at the same
time allowing the debris to be flushed away from the machining
zone which subsequently flattened the craters. Basically, the
surface roughness value depends on the size of the crater and
the shallow crater with a larger diameter leads to a better
workpiece surface finish.
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Fig. 4. Mean effect plot of MRR for voltage open, pulse intensity, off-time, stabilizer-A and stabilizer-B
Fig. 5. Mean effect plot of MRR for stabilizer-E, voltage gap, wire speed, wire tension and federate
Another important parameter related to the productivity and
quality in WEDM cutting operation is the amperage of current.
Basically, the discharge current has direct effects to the amount
of eroded material. Among all the amperage of current
parameters used in this study, occurrences of short pulses are
believed to have overtaken the normal pulses. In this research
works, the short pulse has been controlled by stabilizer-E and
when the notch value increased from 1 to 5 notch, the MRR and
surface roughness values had dropped due to the large amounts
of short pulse. This is because the short pulses do not have
adequate energy in generating sufficient plasma channel to
erode the materials compared to normal pulses [23]. As can be
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seen from the Table 3 and Table 4, stabilizer-E almost
dominated other current parameter in terms of surface
roughness and MRR.
Fig. 6. Mean effect plot of surface roughness for voltage open, pulse intensity, off-time, stabilizer-A and stabilizer-B
Fig. 7. Mean effect plot of surface roughness for stabilizer-E, voltage gap, wire speed, wire tension and federate
In the aspect of electrode wire performance, it can be seen
that MRR is less impacted when wire tension is changed from
low to high as compared to the wire speed. Wire tension possess
0.54% of the percentage contribution which is less than the wire
speed at 1.95% as indicated in Table 3. In term of surface
roughness, wire tension possesses high influence rather than
wire speed with percentage contribution of 1.59% for wire
tension and 0.22% for wire speed.
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The increase in wire tension is expected to reduce the wire
vibration and hence the reduction in MRR and surface
roughness [5]. Meanwhile, employing fast wire speed will
restrict the ignition delay time in attaining particular period of
time to sufficiently remove the materials with the formation of
ideal plasma channel. Therefore, the arc pulses will take place
to erode the materials with less volume at the same time
deteriorate the surface finish [24]. Ignition delay time is an
important time in the event of plasma channel before allowing
the electrons and ions to flow through it during the discharge
phase [25]. As recognized, the pulses without ignition delay are
considered as harmful arc that will damage the surface quality
of the cutting parts.
In summary, each parameter contributes to the MRR and
surface quality with different manners and performance in term
of whether it has a strong influence or weak influence on the
respective responses. Fundamentally, the parameters in
achieving high MRR are unable to obtain excellent surface
finish as discussed previously because the performance of both
responses are conflicting in nature. The higher of the volumetric
material removed by extreme discharge energy, the wider and
deeper the crater size that spoiled the surface finish topography.
Therefore, there is a need for a multiple objective optimization
technique in solving this problem.
B. Linear Regression Model
In order to employ the multi-optimization by genetic
algorithm, a regression analysis was performed to establish the
relationship among the independent and dependent variables for
prediction purpose. In this study, a first-order regression model
(equation 2) has been used to form linear regression equation to
develop relationship just for the main effects and it is depending
on the number of independent variables (x), levels and the
experimental trials. On equation 2, β is denoted as regression
coefficients, x is denoted as independent variables, y is denoted
as dependent variable and ε is denoted as random error while,
index k and i are denoted as the total number of variables and a
specific variable between 1 and k respectively.
𝑦 = 𝛽0 + ∑ 𝛽𝑖𝑘𝑖=1 𝑥𝑖 + 𝜀 (2)
Equation 3 and equation 4 represent the first-order regression
equation generated by Minitab software according to the
experimental data. Other than that, Table 5 illustrated the
comparison between prediction and experimental data for both
responses to evaluate the accuracy of the proposed regression
equation. The percentage relative error has been calculated to
identify the prediction accuracy of the regression equation and
it is indicated that average relative error among the trials were
0.036% for MRR and 0.892% for Ra which reflects the
proposed regression mathematical equation in providing
excellent prediction accuracy for both responses in this research
and suitable to be used for multi-optimization by GA.
MRR = 1.62 + 0.00686(Vo) + 0.0288(Ip) - 0.0112(OFF) - 0.00721(SA) - 0.00419(SB) - 0.0165(SE) + 0.000999(VG) -
0.115(WS) - 0.0172(WT) + 2.47(Feedrate) (3)
Ra = 1.00 + 0.188(Vo) - 0.061(Ip) - 0.233(OFF) - 0.0057(SA) -
0.0980(SB) -0.260(SE) + 0.0224(VG) + 0.294(WS) -
0.223(WT) - 2.51(Feedrate) (4)
Table V
Predicted results by regression model and its prediction accuracy for MRR and Ra
Trials
Material Removal Rate
(mm³/min) Error
(%)
Arithmetic Average
Roughness, Ra (µm) Error
(%) Prediction Experiment Prediction Experiment
1 0.8364 0.8366 0.025 2.514 2.520 0.23
2 0.8641 0.8644 0.029 2.750 2.756 0.22
3 0.8326 0.8328 0.028 2.593 2.598 0.21
4 0.7830 0.7832 0.029 2.319 2.324 0.23
5 0.4205 0.4205 0.005 0.674 0.684 1.45
6 0.7628 0.7635 0.090 1.752 1.788 2.02
7 0.7681 0.769 0.120 1.995 2.004 0.44
8 0.7595 0.7597 0.022 1.656 1.662 0.34
9 0.4220 0.4221 0.014 0.682 0.692 1.43
10 0.7628 0.7625 0.041 1.752 1.728 1.38
11 0.4054 0.4055 0.015 0.575 0.584 1.52
12 0.6846 0.6845 0.012 0.709 0.718 1.24
C. Multi-optimization by genetic algorithm
In this study, genetic algorithm (GA) has been used to
perform the multi-optimization with the aid of optimtool using
gamultiobj solver of MATLAB features. The target of the
optimization process is to regulate the optimal cutting
parameters in order to maximize MRR as high as possible and
simultaneously minimize surface roughness value the lowest
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possible. The objective functions formulated are given below:
Objective I: Max [MRR]
Objective II: Min [Surface Roughness]
The multi-optimization according to the fitness function is
subjected to the lower and upper boundaries of cutting
parameters. The range values of the cutting parameters are as
allowed by the machine. Therefore, the boundaries of the multi-
optimization solution are given as follows:
{
4 ≤ 𝑉𝑜 ≤ 16 3 ≤ 𝐼𝑝 ≤ 121 ≤ 𝑂𝐹𝐹 ≤ 102 ≤ 𝑆𝐴 ≤ 53 ≤ 𝑆𝐵 ≤ 151 ≤ 𝑆𝐸 ≤ 542 ≤ 𝑉𝐺 ≤ 7012 ≤ 𝑊𝑆 ≤ 1411 ≤ 𝑊𝑇 ≤ 140.15 ≤ 𝐹𝑅 ≤ 0.25
In order to solve the multiple optimization of this study, the
following GA parameters and options have been employed:
Population type: Double vector; Population size: 50; Selection
function: Tournament with size 2; Mutation function:
Constrained dependent; Crossover function: Scattered;
Distance measure function: Crowding; Migration direction:
Forward with 0.2 fraction and 20 interval; Pareto-front
population fraction: 0.1.
Fig. 8. Pareto-optimal set of solutions for MRR and surface roughness
The Pareto-front of optimized objective is shown in Fig. 8.
According to Pareto-front plot, both of the response variables
which are MRR and Ra are located along the y-axis and x-axis
respectively. The individual non-dominated solution points
were represented by the star marks. Fig. 8 shows that MRR
increased gradually from 0.93 mm³/min to 0.96 mm³/min with
less deviation of Ra value. Therefore, the optimum solution can
be found in this region as maximum MRR can be obtained with
minimum value of Ra. After that, the margin amount of MRR
increased equally with the increasing amount of Ra after the
value of 0.5 µm. This circumstance reflects the nature of
WEDM cutting operation in which the high volume of material
removed is caused by the large and deep crater dimension that
subsequently deteriorate the surface texture of the cutting
surfaced.
20 non-dominated solutions are gained at the end of 108
iterations. Several results of the objective function for MRR, Ra
and the decision parameters of these non-dominated solution
sets are tabulated in Table 6. Based on Table 6, it can be
observed that the minimum surface roughness value that can be
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achieved is 0.167 µm and the maximum value for MRR that can
be achieved is 0.957 mm³/min. It is also indicated that the
optimal solution is obtained at the 14th iterations from 20th
iteration of the GA algorithm. The confirmation experiment
(Table 7) for optimized parameter recommended by GA found
value of 0.171 µm for the surface roughness and 0.944 mm³/min
for the MRR which reflected the excellent accuracy of the
prediction in multiple responses parameter optimization. The
relative error for both results is found acceptable which is less
than 3%.
Table VI
Several sets of pareto optimal solution point
Solution
Number
Iteration
Ordinal Vo IP OFF SA SB SE VG WS WT
Table
FeedRate
Material
Removal Rate
(mm³/min)
Arithmetic
Average
Roughness, Ra
(µm)
1 16 5 12 4 2 15 1 69 12 11 0.25 0.973 0.524
2 9 7 12 1 2 13 1 69 12 11 0.25 1.034 1.868
3 4 5 12 1 2 15 1 50 12 11 0.25 0.988 0.764
4 14 6 12 5 2 15 1 62 12 11 0.25 0.957 0.167
5 20 5 12 1 2 15 1 50 12 11 0.25 0.986 0.744
6 5 6 12 4 2 15 2 62 12 12 0.25 0.934 0.143
7 12 5 12 1 2 15 1 62 12 11 0.25 0.999 1.029
8 17 7 12 1 2 15 1 62 12 11 0.25 1.017 1.487
9 10 6 12 1 2 3 1 69 12 11 0.25 1.057 2.481
10 9 7 12 1 2 13 1 69 12 11 0.25 1.034 1.868
Table VII
Confirmation of experiment for optimized parameters
Vo IP OFF SA SB SE VG WS WT Table
Feedrate
MRR
(mm³/min) Error
(%)
Ra (µm) Error
(%) Pred. Exp. Pred. Exp.
6 12 5 2 15 1 62 12 11 0.25 0.957 0.944 1.358 0.167 0.171 2.34
IV. CONCLUSION
In this study, an efficient multi-objective optimization
methodology using the combination of two technique which are
linear regression and the genetic algorithm (GA) is introduced.
The benefit is that there is an increase for flexibility in optimal
cutting parameters selection and it simultaneously enhance the
productivity and surface quality. The following conclusions
were drawn from this study:
Feedrate table is the dominant parameter affecting MRR as
its percentage contribution for this response variables
obtained through ANOVA is 86.16%. The high MRR can
be achieved by using fast feeding speed of workpiece in
entering the machining zone.
Voltage open is the dominant parameter affecting surface
roughness as its percentage contribution for this response
variables obtained through ANOVA is 73.06%. By
applying high voltage will produce wide and deep crater
that roughen the surface finish.
The maximum value of MRR up to 0.957 mm³/min with
low surface roughness of 0.167 µm is achieved under
optimum cutting parameters proposed by GA approach and
the confirmation experiment is found to be highly
acceptable with error percentage of less 3%.
It is clear this optimization method has the ability to solve
the trade-off for two responses that are contradictory in
nature resulted from WEDM cutting parameters and also
able to enhance the production efficiency.
ACKNOWLEDGEMENTS
The authors would like to express their gratitude to UTeM
Zamalah Scheme for the financial support. We also want to give
our heartfelt thanks to Fakulti Kejuruteraan Pembuatan (FKP)
and Advanced Manufacturing Centre (AMC) of Universiti
Teknikal Malaysia Melaka (UTeM) for the experimental
facilities. This research is supported by the Ministry of
Education Malaysia, grants scheme no:
PRGS/1/2019/TK03/UTEM/02/1.
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