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International Journal of Engineering and Advanced Technology (IJEAT)
ISSN: 2249 – 8958, Volume-3, Issue-5, June 2014
57 Published By:
Blue Eyes Intelligence Engineering
& Sciences Publication Pvt. Ltd.
Experimental Study of Surface Roughness in
Wedm Process and Ann Modelling
Piyush Pant, Navneet K Pandey, S. Rajesha, Gaurav Jain
Abstract-Surface roughness is an effective parameter in
representing the quality of machined surface and is one of the
most common performance measurements in machining process.
This paper reports the effect and optimization of pulse-on time,
gap voltage, wire feed rate on surface roughness in wire
electrical discharge machining (WEDM) process for die steel D3
using L27 orthogonal array. Signal-to noise (S/N) ratio and
ANOVA are used as statistical analyses to achieve optimum levels
and to study the population distribution of the response
characteristic respectively. It has been found that pulse on-time is
the most significant factor affecting the surface roughness. The
experimental data is later used to model the surface roughness
using artificial neural network.
Keywords: Surface roughness, Taguchi, Wire cut electrical
discharge machining, Die steel Artificial neural networks.
I. INTRODUCTION
Wire EDM has revolutionized the tool and die, mold and
metal working industries. It is probably the most exciting
and diversified machine tool developed for this industry in
the last fifty years, and has numerous advantages to offer. It
can machine anything that is electrically conductive
regardless of the hardness, from relatively common
materials such as tool steel, aluminum, copper, and graphite,
to exotic space-age alloys including hastaloy, waspaloy,
inconel, titanium, carbide, polycrystalline diamond
compacts and conductive ceramics. The wire does not touch
the workpiece, so there is no physical pressure imparted on
the workpiece compared to grinding wheels and milling
cutters. The amount of clamping pressure required to hold
small, thin and fragile parts is minimal, preventing damage
or distortion to the workpiece. The accuracy, surface finish
and time required to complete a job is extremely predictable,
making it much easier to quote, WEDM leaves a totally
random pattern on the surface as compared to tooling marks
left by milling cutters and grinding wheels. The WEDM
process leaves no residual burrs on the workpiece, which
reduces or eliminates the need for subsequent finishing
operations. Die-making industry is very important to
down-stream industries and any technological changes in
the die-making industry surely affect those down-stream
manufacturing. . New materials with high hardness and
toughness, such as die and tool steels, are being developed
which are difficult to be machined by conventional
manufacturing techniques such as milling, drilling and
turning. Hence, non-traditional machining processes are
employed. WEDM is widely used to machine these.
Surface roughness describes the geometry and surface
textures of the machined parts (Nalbant et al., 2007).
Manuscript Received on June 2014.
Piyush Pant, M.Tech Research Scholar, JSSATE Noida, India
Navneet K Pandey, Assistant Professor ME Deptt. JSSATE, Noida,
India
S. Rajesha, Professor ME Deptt. JSSATE. Noida, India
Gaurav Jain, Assistant Professor ME Deptt. JSSATE, Noida, India
There are several ways to describe surface roughness, such
as roughness average (Ra), root-mean-square (rms)
roughness (Rq) and maximum peak-to-valley roughness (Ry
or max), etc.(http://www.prediv.com/smg/parameters.html).
Ra is defined as the arithmetic value of the profile from
centre line along the sampling length and can be expressed
by the following mathematical relationship (Ozc¸ elik et al.,
2005):
Ra= |Y x |dx (1)
Where,
Ra = Arithmetic average deviation from the mean line
L = Sampling length
Y = Ordinate of the profile curve
ANN refers to the computing systems whose fundamental
concept is taken from analogy of biological neural networks.
Many day to day tasks involving intelligence or pattern
recognition are extremely difficult to automate, but appear to be
performed very easily by animals. The neural network of an
animal is part of its nervous system, containing a network of
specialized cells called neurons (nerve cells). Neurons are
massively interconnected, where an interconnection is between
the axon of one neuron and dendrite of another neuron, referred
to as synapse. Signals propagate from the dendrites, through the
cell body to the axon; from where the signals are propagate to
all connected dendrites. A signal is transmitted to the axon of a
neuron only when the cell ‘fires’. A neuron can either inhibit or
excite a signal according to requirement.
II. LITERATURE SURVEY
Pradhan et. al. optimized micro-EDM process parameters for
machining Ti-6Al-4V super alloy. Poros et. al. studied the
efficiency of wire EDM for two different difficult to machine
materials-titanium alloys and cemented carbides. Qu et. al.
demonstrated the feasibility of applying the cylindrical wire
EDM process for high MRR machining of free-form
cylindrical geometries. Sarkar et. al. performed experimental
investigation on trim cutting using WEDM of TiAl alloy.
Kanlayasiri et. al. investigated the influence of WEDM
machining variables on surface roughness of newly
developed DC 53 die steel of width, length and thickness 27,
65 and 13 mm, respectively. Panda et. al. has developed an
ANN model (using feed forward neural architecture) using
Levenberg-Marquardt learning algorithm and logistic sigmoid
transfer function to predict the material removal rate. Pradhan
et. al. compared the performance and efficiency of back
propagation neural network (BPN) and radial basis function
neural network (RBFN) for the prediction of SR in EDM.
Thillaivannan et. al. have explored a practical method of
optimizing machining parameters for EDM process under the
minimum total machining time based on Taguchi method and
Artificial neural network. Rao et. al. presented a work aimed on
Experimental Study of Surface Roughness in Wedm Process and Ann Modelling
58 Published By:
Blue Eyes Intelligence Engineering
& Sciences Publication Pvt. Ltd.
the effect of various machining parameters on hardness. S. Di et
al. analyzed the kerf width in micro-WEDM and developed a
model between machining parameters and wire vibration
amplitude, explaining the variety of kerf width in the micro-
WEDM process. Gokler et. al. conducted series of experiments
on selected steels (1040, 2379 and 2738) of various thicknesses
to develop charts for selecting the most suitable combinations
of cutting and offset parameters in order to get the desired
surface roughness in the WEDM process. Ho et. al. reviewed
the vast array of research work carried out from the spin-off
from the EDM process to the development of the WEDM.
Ozdemir et. al. investigated the machinability of standard
GGG40 nodular cast iron by A300 Fine Sodick Mark XI
WEDM using different parameters. Shunmugam et. al. used a
multiple regression model to represent relationship between
input and output variables and a multi-objective optimization
method based on a non-dominated sorting genetic algorithm
(NSGA) is used to optimize wire-EDM process. Chiang et. al.
presented an approach for the optimization of the WEDM
process of Al2O3 particle reinforced material with two
performance characteristics, e.g. SR and MRR, based on the
grey relational analysis.
III. IDENTIFIED GAPS IN THE LITERATURE
After a comprehensive study of the existing literature, a number
of gaps have been observed in machining of WEDM.
a. Most of the researchers have investigated the influence
of a limited number of WEDM process parameters on
the performance measures of the work piece.
b. Very limited work has been reported on the effect of
machining parameters on the machining characteristics
in WEDM of AISI D3 Die steel.
c. Attempts to create an ANN model for response
characteristic in WEDM process of AISI D3 Die steel
are still scarce.
IV. EXPERIMENTAL DETAILS
A. WORK PIECE MATERIAL
The work-piece material used is AISI D3 die steel whose
properties are shown in the Table 1 & 2
Table 1: Chemical Composition of the Material
Element Weight %
C 2.00-2.35
Mn 0.6
Si 0.6
Cr 11.00-13.50
Ni 0.3
W 1
V 1
Cu 0.25
P 0.03
Si 0.03
Fe Remaining
Table 2: Mechanical Properties (at 250
C)
Density (*1000kg/m3
) 7.7
Poisson's Ratio 0.27-0.30
Elastic Modulus (GPa) 190-210
Surface hardness 60 RC
V. EXPERIMENTAL RESULTS AND ANALYSIS
– TAGUCHI DESIGN METHOD AND
ARTIFICIAL NEURAL NETWORK
A. PARAMETER ASSIGNMENT
The levels of the individual process parameters are given in
Table 3.
Table 3: Process Parameters and their Levels
Process Parameter
Reading for each variable
Level 1 Level 2 Level 3
Pulse ON time
(TON) in µs
30 40 50
Gap voltage
(VG) in volt
10 20 30
Wire feed rate
(F) in m/min
15 20 25
B. EXPERIMENTAL RESULTS
Table 4: Experimental Results for Surface Roughness
Expt
No.
Ton Vg F
Mean
R
Signal to
noise ratio
1 30 10 15 4.8625 -13.74
2 30 10 20 4.7525 -13.54
3 30 10 25 4.67 -13.39
4 30 20 15 4.8425 -13.7
5 30 20 20 4.7675 -13.57
6 30 20 25 4.61 -13.28
7 30 30 15 4.85 -13.72
8 30 30 20 4.67 -13.39
9 30 30 25 4.57 -13.2
10 40 10 15 4.995 -13.98
11 40 10 20 5.395 -14.65
International Journal of Engineering and Advanced Technology (IJEAT)
ISSN: 2249 – 8958, Volume-3, Issue-5, June 2014
59 Published By:
Blue Eyes Intelligence Engineering
& Sciences Publication Pvt. Ltd.
12 40 10 25 4.9425 -13.88
13 40 20 15 5.345 -14.56
14 40 20 20 5.0825 -14.12
15 40 20 25 5.215 -14.35
16 40 30 15 5.1425 -14.22
17 40 30 20 5.345 -14.56
18 40 30 25 5.1675 -14.27
19 50 10 15 6.225 -15.88
20 50 10 20 5.755 -15.2
21 50 10 25 5.9075 -15.43
22 50 20 15 5.7825 -15.25
23 50 20 20 6.12 -15.74
24 50 20 25 5.9425 -15.48
25 50 30 15 6.35 -16.06
26 50 30 20 6.0975 -15.71
27 50 30 25 6.2925 -15.98
Figure 1: Effects of Process Parameters on Surface
Roughness (S/N Data)
Table 5: Response Table for Surface Roughness (S/N Data)
Level TON V F
1 -13.5 -14.41 -14.57
2 -14.28 -14.45 -14.49
3 -15.63 -14.56 -14.36
Delta 2.13 0.16 0.21
Rank 1 3 2
Figure 2: Residual Plots for Surface Roughness (obtained
using minitab 16)
C. NORMALISED DATA
To produce similar output for similar input and thus to avoid
overfitting, normalization is carried out using the equation
suggested by Sanjay and Jyothi :
(2)
for each value xi of ith
attribute, mini and maxi are the
minimum and maximum value of that attribute over the
training set.
Table 6: Normalised Data
Exp Ton V F R
1 0.1 0.1 0.1 0.231333
2 0.1 0.1 0.5 0.181943
3 0.1 0.1 0.9 0.1449
4 0.1 0.5 0.1 0.222353
5 0.1 0.5 0.5 0.188678
6 0.1 0.5 0.9 0.11796
7 0.1 0.9 0.1 0.22572
8 0.1 0.9 0.5 0.1449
9 0.1 0.9 0.9 0.1
10 0.5 0.1 0.1 0.290825
11 0.5 0.1 0.5 0.470425
12 0.5 0.1 0.9 0.267253
13 0.5 0.5 0.1 0.447975
14 0.5 0.5 0.5 0.330113
15 0.5 0.5 0.9 0.389605
16 0.5 0.9 0.1 0.357053
17 0.5 0.9 0.5 0.447975
18 0.5 0.9 0.9 0.368278
19 0.9 0.1 0.1 0.843095
20 0.9 0.1 0.5 0.632065
21 0.9 0.1 0.9 0.700538
22 0.9 0.5 0.1 0.644413
23 0.9 0.5 0.5 0.79595
24 0.9 0.5 0.9 0.716253
504030
-13.5
-14.0
-14.5
-15.0
-15.5
302010
252015
-13.5
-14.0
-14.5
-15.0
-15.5
Ton
MeanofSNratios
Vg
F
Main Effects Plot for SN ratios
Data Means
Signal-to-noise: Smaller is better
0.40.20.0-0.2-0.4
99
90
50
10
1
Residual
Percent
6.05.55.0
0.30
0.15
0.00
-0.15
-0.30
Fitted Value
Residual
0.240.120.00-0.12-0.24
4
3
2
1
0
Residual
Frequency
2624222018161412108642
0.30
0.15
0.00
-0.15
-0.30
Observation Order
Residual
Normal Probability Plot Versus Fits
Histogram Versus Order
Residual Plots for MEAN1
( )1.08.0*
minmax
min
i
i
+
−
−
=
i
i
i
x
x
Experimental Study of Surface Roughness in Wedm Process and Ann Modelling
60 Published By:
Blue Eyes Intelligence Engineering
& Sciences Publication Pvt. Ltd.
25 0.9 0.9 0.1 0.89922
26 0.9 0.9 0.5 0.785848
27 0.9 0.9 0.9 0.873403
D. TRAINING DATA
23 readings are randomnly selected from
normalized data in table 6 for ANN training (Table
7).
Table 7: Training Data
Ton V F R
0.1 0.1 0.1 0.231333
0.1 0.1 0.5 0.181943
0.1 0.1 0.9 0.1449
0.1 0.5 0.1 0.222353
0.1 0.5 0.5 0.188678
0.1 0.9 0.1 0.22572
0.1 0.9 0.5 0.1449
0.1 0.9 0.9 0.1
0.5 0.1 0.1 0.290825
0.5 0.1 0.5 0.470425
0.5 0.5 0.1 0.447975
0.5 0.5 0.5 0.330113
0.5 0.5 0.9 0.389605
0.5 0.9 0.1 0.357053
0.5 0.9 0.5 0.447975
0.5 0.9 0.9 0.368278
0.9 0.1 0.5 0.632065
0.9 0.1 0.9 0.700538
0.9 0.5 0.1 0.644413
0.9 0.5 0.5 0.79595
0.9 0.5 0.9 0.716253
0.9 0.9 0.1 0.89922
0.9 0.9 0.9 0.873403
E. GENERATING AND TRAINING THE ANN
MODEL
ANN model was generated for 1 hidden layer, 4
neurons, tansig transfer function. The training data
(Table 7) is used for training the ANN using
Levenberg–Marquardt training algorithm(Fig 3).
Fig 3: Training the ANN Model
VI. DISCUSSION OF RESULTS
• It is seen from the Figure 1 that the surface
roughness increases with an increase in pulse on
time and gap voltage but with increase in wire feed
rate. With increase in the pulse on time and gap
voltage, the discharge energy increases and
produces a wider crater whereas, with increase in
wire feed rate, less time is available for spark
concentration and thus, resulting in the formation
of small crater.
• The response table shows the average of the surface
roughness for each level of each factor and includes
ranks based on delta statistics, which compare the
relative magnitude of effects. The delta statistic is
the highest minus the lowest average for each
factor. Minitab assigns ranks based on delta values;
rank 1 to the highest delta value, rank 2 to the
second highest, and so on. The ranks indicate the
relative importance of each factor to the response.
The ranks and the delta values from table 5 show
that pulse on time have the greatest effect on
surface roughness and is followed by wire feed rate
and spark gap set voltage.
• It can be seen from Figure 2 that the residuals
follow an approximately straight line in normal
probability plot and approximate symmetric nature
of histogram indicates that the residuals are
normally distributed.
• It can be seen from Figure 1 that the first level of
pulse on time, first level of spark gap set voltage,
and third level of wire feed rate gives the minimum
value of surface roughness.
• The training of the ANN model shows decrease in
the mean square error (Fig 3).
VII. SUGGESTIONS FOR FUTURE WORK
Considering the WEDM machining of AISI D3 Die steel
work material performed in this experimental work, still
there is a scope for further investigation. The following
suggestions may prove useful for future work:
1) More than one output parameters should be taken
and multi objective optimization should be
performed.
2) The effect of the process parameters such as
flushing pressure, conductivity of dielectric, wire
International Journal of Engineering and Advanced Technology (IJEAT)
ISSN: 2249 – 8958, Volume-3, Issue-5, June 2014
61 Published By:
Blue Eyes Intelligence Engineering
& Sciences Publication Pvt. Ltd.
diameter, wire of different materials, work piece
height etc. may also be investigated.
3) The effects of machining parameters on recast layer
thickness and overcut should be investigated.
4) Efforts should be made to investigate the effects of
WEDM process parameters on the performance
measures in a cryogenic cutting environment.
REFERENCES
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method in the optimization of cutting parameters for surface
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electric discharge machining using artificial neural networks
and genetic algorithm”, Asian Research Publishing Network
(ARPN), 2010, Vol. 5, No. 5, 72-81.
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kerf width in micro-WEDM, International Journal of Machine
Tools & Manufacture, 49 (2009) 788-792.
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effects of cutting parameters on surface roughness in the WEDM
process, International Journal of Machine Tools & Manufacture, 40
(2000) 1831-1848.
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“State of art in wire electrical discharge machining (WEDM)”,
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E3100063514k

  • 1. International Journal of Engineering and Advanced Technology (IJEAT) ISSN: 2249 – 8958, Volume-3, Issue-5, June 2014 57 Published By: Blue Eyes Intelligence Engineering & Sciences Publication Pvt. Ltd. Experimental Study of Surface Roughness in Wedm Process and Ann Modelling Piyush Pant, Navneet K Pandey, S. Rajesha, Gaurav Jain Abstract-Surface roughness is an effective parameter in representing the quality of machined surface and is one of the most common performance measurements in machining process. This paper reports the effect and optimization of pulse-on time, gap voltage, wire feed rate on surface roughness in wire electrical discharge machining (WEDM) process for die steel D3 using L27 orthogonal array. Signal-to noise (S/N) ratio and ANOVA are used as statistical analyses to achieve optimum levels and to study the population distribution of the response characteristic respectively. It has been found that pulse on-time is the most significant factor affecting the surface roughness. The experimental data is later used to model the surface roughness using artificial neural network. Keywords: Surface roughness, Taguchi, Wire cut electrical discharge machining, Die steel Artificial neural networks. I. INTRODUCTION Wire EDM has revolutionized the tool and die, mold and metal working industries. It is probably the most exciting and diversified machine tool developed for this industry in the last fifty years, and has numerous advantages to offer. It can machine anything that is electrically conductive regardless of the hardness, from relatively common materials such as tool steel, aluminum, copper, and graphite, to exotic space-age alloys including hastaloy, waspaloy, inconel, titanium, carbide, polycrystalline diamond compacts and conductive ceramics. The wire does not touch the workpiece, so there is no physical pressure imparted on the workpiece compared to grinding wheels and milling cutters. The amount of clamping pressure required to hold small, thin and fragile parts is minimal, preventing damage or distortion to the workpiece. The accuracy, surface finish and time required to complete a job is extremely predictable, making it much easier to quote, WEDM leaves a totally random pattern on the surface as compared to tooling marks left by milling cutters and grinding wheels. The WEDM process leaves no residual burrs on the workpiece, which reduces or eliminates the need for subsequent finishing operations. Die-making industry is very important to down-stream industries and any technological changes in the die-making industry surely affect those down-stream manufacturing. . New materials with high hardness and toughness, such as die and tool steels, are being developed which are difficult to be machined by conventional manufacturing techniques such as milling, drilling and turning. Hence, non-traditional machining processes are employed. WEDM is widely used to machine these. Surface roughness describes the geometry and surface textures of the machined parts (Nalbant et al., 2007). Manuscript Received on June 2014. Piyush Pant, M.Tech Research Scholar, JSSATE Noida, India Navneet K Pandey, Assistant Professor ME Deptt. JSSATE, Noida, India S. Rajesha, Professor ME Deptt. JSSATE. Noida, India Gaurav Jain, Assistant Professor ME Deptt. JSSATE, Noida, India There are several ways to describe surface roughness, such as roughness average (Ra), root-mean-square (rms) roughness (Rq) and maximum peak-to-valley roughness (Ry or max), etc.(http://www.prediv.com/smg/parameters.html). Ra is defined as the arithmetic value of the profile from centre line along the sampling length and can be expressed by the following mathematical relationship (Ozc¸ elik et al., 2005): Ra= |Y x |dx (1) Where, Ra = Arithmetic average deviation from the mean line L = Sampling length Y = Ordinate of the profile curve ANN refers to the computing systems whose fundamental concept is taken from analogy of biological neural networks. Many day to day tasks involving intelligence or pattern recognition are extremely difficult to automate, but appear to be performed very easily by animals. The neural network of an animal is part of its nervous system, containing a network of specialized cells called neurons (nerve cells). Neurons are massively interconnected, where an interconnection is between the axon of one neuron and dendrite of another neuron, referred to as synapse. Signals propagate from the dendrites, through the cell body to the axon; from where the signals are propagate to all connected dendrites. A signal is transmitted to the axon of a neuron only when the cell ‘fires’. A neuron can either inhibit or excite a signal according to requirement. II. LITERATURE SURVEY Pradhan et. al. optimized micro-EDM process parameters for machining Ti-6Al-4V super alloy. Poros et. al. studied the efficiency of wire EDM for two different difficult to machine materials-titanium alloys and cemented carbides. Qu et. al. demonstrated the feasibility of applying the cylindrical wire EDM process for high MRR machining of free-form cylindrical geometries. Sarkar et. al. performed experimental investigation on trim cutting using WEDM of TiAl alloy. Kanlayasiri et. al. investigated the influence of WEDM machining variables on surface roughness of newly developed DC 53 die steel of width, length and thickness 27, 65 and 13 mm, respectively. Panda et. al. has developed an ANN model (using feed forward neural architecture) using Levenberg-Marquardt learning algorithm and logistic sigmoid transfer function to predict the material removal rate. Pradhan et. al. compared the performance and efficiency of back propagation neural network (BPN) and radial basis function neural network (RBFN) for the prediction of SR in EDM. Thillaivannan et. al. have explored a practical method of optimizing machining parameters for EDM process under the minimum total machining time based on Taguchi method and Artificial neural network. Rao et. al. presented a work aimed on
  • 2. Experimental Study of Surface Roughness in Wedm Process and Ann Modelling 58 Published By: Blue Eyes Intelligence Engineering & Sciences Publication Pvt. Ltd. the effect of various machining parameters on hardness. S. Di et al. analyzed the kerf width in micro-WEDM and developed a model between machining parameters and wire vibration amplitude, explaining the variety of kerf width in the micro- WEDM process. Gokler et. al. conducted series of experiments on selected steels (1040, 2379 and 2738) of various thicknesses to develop charts for selecting the most suitable combinations of cutting and offset parameters in order to get the desired surface roughness in the WEDM process. Ho et. al. reviewed the vast array of research work carried out from the spin-off from the EDM process to the development of the WEDM. Ozdemir et. al. investigated the machinability of standard GGG40 nodular cast iron by A300 Fine Sodick Mark XI WEDM using different parameters. Shunmugam et. al. used a multiple regression model to represent relationship between input and output variables and a multi-objective optimization method based on a non-dominated sorting genetic algorithm (NSGA) is used to optimize wire-EDM process. Chiang et. al. presented an approach for the optimization of the WEDM process of Al2O3 particle reinforced material with two performance characteristics, e.g. SR and MRR, based on the grey relational analysis. III. IDENTIFIED GAPS IN THE LITERATURE After a comprehensive study of the existing literature, a number of gaps have been observed in machining of WEDM. a. Most of the researchers have investigated the influence of a limited number of WEDM process parameters on the performance measures of the work piece. b. Very limited work has been reported on the effect of machining parameters on the machining characteristics in WEDM of AISI D3 Die steel. c. Attempts to create an ANN model for response characteristic in WEDM process of AISI D3 Die steel are still scarce. IV. EXPERIMENTAL DETAILS A. WORK PIECE MATERIAL The work-piece material used is AISI D3 die steel whose properties are shown in the Table 1 & 2 Table 1: Chemical Composition of the Material Element Weight % C 2.00-2.35 Mn 0.6 Si 0.6 Cr 11.00-13.50 Ni 0.3 W 1 V 1 Cu 0.25 P 0.03 Si 0.03 Fe Remaining Table 2: Mechanical Properties (at 250 C) Density (*1000kg/m3 ) 7.7 Poisson's Ratio 0.27-0.30 Elastic Modulus (GPa) 190-210 Surface hardness 60 RC V. EXPERIMENTAL RESULTS AND ANALYSIS – TAGUCHI DESIGN METHOD AND ARTIFICIAL NEURAL NETWORK A. PARAMETER ASSIGNMENT The levels of the individual process parameters are given in Table 3. Table 3: Process Parameters and their Levels Process Parameter Reading for each variable Level 1 Level 2 Level 3 Pulse ON time (TON) in µs 30 40 50 Gap voltage (VG) in volt 10 20 30 Wire feed rate (F) in m/min 15 20 25 B. EXPERIMENTAL RESULTS Table 4: Experimental Results for Surface Roughness Expt No. Ton Vg F Mean R Signal to noise ratio 1 30 10 15 4.8625 -13.74 2 30 10 20 4.7525 -13.54 3 30 10 25 4.67 -13.39 4 30 20 15 4.8425 -13.7 5 30 20 20 4.7675 -13.57 6 30 20 25 4.61 -13.28 7 30 30 15 4.85 -13.72 8 30 30 20 4.67 -13.39 9 30 30 25 4.57 -13.2 10 40 10 15 4.995 -13.98 11 40 10 20 5.395 -14.65
  • 3. International Journal of Engineering and Advanced Technology (IJEAT) ISSN: 2249 – 8958, Volume-3, Issue-5, June 2014 59 Published By: Blue Eyes Intelligence Engineering & Sciences Publication Pvt. Ltd. 12 40 10 25 4.9425 -13.88 13 40 20 15 5.345 -14.56 14 40 20 20 5.0825 -14.12 15 40 20 25 5.215 -14.35 16 40 30 15 5.1425 -14.22 17 40 30 20 5.345 -14.56 18 40 30 25 5.1675 -14.27 19 50 10 15 6.225 -15.88 20 50 10 20 5.755 -15.2 21 50 10 25 5.9075 -15.43 22 50 20 15 5.7825 -15.25 23 50 20 20 6.12 -15.74 24 50 20 25 5.9425 -15.48 25 50 30 15 6.35 -16.06 26 50 30 20 6.0975 -15.71 27 50 30 25 6.2925 -15.98 Figure 1: Effects of Process Parameters on Surface Roughness (S/N Data) Table 5: Response Table for Surface Roughness (S/N Data) Level TON V F 1 -13.5 -14.41 -14.57 2 -14.28 -14.45 -14.49 3 -15.63 -14.56 -14.36 Delta 2.13 0.16 0.21 Rank 1 3 2 Figure 2: Residual Plots for Surface Roughness (obtained using minitab 16) C. NORMALISED DATA To produce similar output for similar input and thus to avoid overfitting, normalization is carried out using the equation suggested by Sanjay and Jyothi : (2) for each value xi of ith attribute, mini and maxi are the minimum and maximum value of that attribute over the training set. Table 6: Normalised Data Exp Ton V F R 1 0.1 0.1 0.1 0.231333 2 0.1 0.1 0.5 0.181943 3 0.1 0.1 0.9 0.1449 4 0.1 0.5 0.1 0.222353 5 0.1 0.5 0.5 0.188678 6 0.1 0.5 0.9 0.11796 7 0.1 0.9 0.1 0.22572 8 0.1 0.9 0.5 0.1449 9 0.1 0.9 0.9 0.1 10 0.5 0.1 0.1 0.290825 11 0.5 0.1 0.5 0.470425 12 0.5 0.1 0.9 0.267253 13 0.5 0.5 0.1 0.447975 14 0.5 0.5 0.5 0.330113 15 0.5 0.5 0.9 0.389605 16 0.5 0.9 0.1 0.357053 17 0.5 0.9 0.5 0.447975 18 0.5 0.9 0.9 0.368278 19 0.9 0.1 0.1 0.843095 20 0.9 0.1 0.5 0.632065 21 0.9 0.1 0.9 0.700538 22 0.9 0.5 0.1 0.644413 23 0.9 0.5 0.5 0.79595 24 0.9 0.5 0.9 0.716253 504030 -13.5 -14.0 -14.5 -15.0 -15.5 302010 252015 -13.5 -14.0 -14.5 -15.0 -15.5 Ton MeanofSNratios Vg F Main Effects Plot for SN ratios Data Means Signal-to-noise: Smaller is better 0.40.20.0-0.2-0.4 99 90 50 10 1 Residual Percent 6.05.55.0 0.30 0.15 0.00 -0.15 -0.30 Fitted Value Residual 0.240.120.00-0.12-0.24 4 3 2 1 0 Residual Frequency 2624222018161412108642 0.30 0.15 0.00 -0.15 -0.30 Observation Order Residual Normal Probability Plot Versus Fits Histogram Versus Order Residual Plots for MEAN1 ( )1.08.0* minmax min i i + − − = i i i x x
  • 4. Experimental Study of Surface Roughness in Wedm Process and Ann Modelling 60 Published By: Blue Eyes Intelligence Engineering & Sciences Publication Pvt. Ltd. 25 0.9 0.9 0.1 0.89922 26 0.9 0.9 0.5 0.785848 27 0.9 0.9 0.9 0.873403 D. TRAINING DATA 23 readings are randomnly selected from normalized data in table 6 for ANN training (Table 7). Table 7: Training Data Ton V F R 0.1 0.1 0.1 0.231333 0.1 0.1 0.5 0.181943 0.1 0.1 0.9 0.1449 0.1 0.5 0.1 0.222353 0.1 0.5 0.5 0.188678 0.1 0.9 0.1 0.22572 0.1 0.9 0.5 0.1449 0.1 0.9 0.9 0.1 0.5 0.1 0.1 0.290825 0.5 0.1 0.5 0.470425 0.5 0.5 0.1 0.447975 0.5 0.5 0.5 0.330113 0.5 0.5 0.9 0.389605 0.5 0.9 0.1 0.357053 0.5 0.9 0.5 0.447975 0.5 0.9 0.9 0.368278 0.9 0.1 0.5 0.632065 0.9 0.1 0.9 0.700538 0.9 0.5 0.1 0.644413 0.9 0.5 0.5 0.79595 0.9 0.5 0.9 0.716253 0.9 0.9 0.1 0.89922 0.9 0.9 0.9 0.873403 E. GENERATING AND TRAINING THE ANN MODEL ANN model was generated for 1 hidden layer, 4 neurons, tansig transfer function. The training data (Table 7) is used for training the ANN using Levenberg–Marquardt training algorithm(Fig 3). Fig 3: Training the ANN Model VI. DISCUSSION OF RESULTS • It is seen from the Figure 1 that the surface roughness increases with an increase in pulse on time and gap voltage but with increase in wire feed rate. With increase in the pulse on time and gap voltage, the discharge energy increases and produces a wider crater whereas, with increase in wire feed rate, less time is available for spark concentration and thus, resulting in the formation of small crater. • The response table shows the average of the surface roughness for each level of each factor and includes ranks based on delta statistics, which compare the relative magnitude of effects. The delta statistic is the highest minus the lowest average for each factor. Minitab assigns ranks based on delta values; rank 1 to the highest delta value, rank 2 to the second highest, and so on. The ranks indicate the relative importance of each factor to the response. The ranks and the delta values from table 5 show that pulse on time have the greatest effect on surface roughness and is followed by wire feed rate and spark gap set voltage. • It can be seen from Figure 2 that the residuals follow an approximately straight line in normal probability plot and approximate symmetric nature of histogram indicates that the residuals are normally distributed. • It can be seen from Figure 1 that the first level of pulse on time, first level of spark gap set voltage, and third level of wire feed rate gives the minimum value of surface roughness. • The training of the ANN model shows decrease in the mean square error (Fig 3). VII. SUGGESTIONS FOR FUTURE WORK Considering the WEDM machining of AISI D3 Die steel work material performed in this experimental work, still there is a scope for further investigation. The following suggestions may prove useful for future work: 1) More than one output parameters should be taken and multi objective optimization should be performed. 2) The effect of the process parameters such as flushing pressure, conductivity of dielectric, wire
  • 5. International Journal of Engineering and Advanced Technology (IJEAT) ISSN: 2249 – 8958, Volume-3, Issue-5, June 2014 61 Published By: Blue Eyes Intelligence Engineering & Sciences Publication Pvt. Ltd. diameter, wire of different materials, work piece height etc. may also be investigated. 3) The effects of machining parameters on recast layer thickness and overcut should be investigated. 4) Efforts should be made to investigate the effects of WEDM process parameters on the performance measures in a cryogenic cutting environment. REFERENCES 1. Nalbant, M., G okkaya, H., Sur, G., 2007. Application of Taguchi method in the optimization of cutting parameters for surface roughness in turning. Mater. Des. 28, 1379–1385. 2. Ozc¸ elik, B., Oktem, H., Kurtaran, H., 2005. Optimum surface roughness in end milling Inconel 718 by coupling neural network model and genetic algorithm. Int. J. Adv. Manuf. Technol. 27, 234– 241. 3. B. B. Pradhan, M. Masanta, B. R. Sarkar, B. 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