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IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 03 Issue: 02 | Feb-2014, Available @ http://www.ijret.org 162
EFFECT OF PROCESS PARAMETERS ON TENSILE STRENGTH IN GAS
METAL ARC WELDED JOINTS AA7075-T6 ALUMINUM ALLOY BY
USING REGRESSION AND RESPONSE SURFACE MODEL
Sivashanmugam.M1
, Arun Kumar K2
, KajaBanthaNavas R3
, Essam Ahamed M.A4
1
Associate Professor, 2, 3
Assistant Professor, 4
UG final year student, Department of Mechanical & Production
Engineering, Sathyabama University, Chennai, India
Abstract
Aluminum and its alloys have been used in recent times due to their light weight, moderate strength and good corrosion resistance.
Aluminum alloy 7075-T6 has been researched upon especially as a potential candidate for aircraft material. This alloy is difficult to
weld using conventional welding techniques like GTAW and GMAW. An attempt has been made in this paper to weld 7075-T6 alloy
using GMAW with argon as a shielding gas. The welding experiment was carried out on Odor, Chennai and tensile strength tested on
Ministry of Micro and small and Medium Enterprises Testing Center, Government of India, Chennai for the purpose of improving
tensile strength. In order to formulate the equation between important welding parameters like current (I), Voltage (V), Welding
Speed (WS) and Gas flow (GS) (predictors) and tensile strength (response) so that multiple regression as chosen and validated this
model SPSS 16 and formulated the transfer function with interaction between predictors reported by Minitab 15.
Keywords: AA 7075 aluminum alloy, Gas Metal arc welding, Regression Model, Response Surface model
-----------------------------------------------------------------------***-----------------------------------------------------------------------
1. INTRODUCTION
The preferred welding processes for fabricating the AA7075
alloy are frequently Gas Metal Arc Welding (GMAW) process
due to their comparatively easier applicability and better
economy. The weld Fusion Zone (FZ) typically exhibit coarse
columnar grains because of the prevailing thermal conditions
during weld metal solidification. This often results inferior
weld mechanical properties and poor resistance to hot
cracking. In GMAW welding, a continuous, consumable wire
electrode and a shielding gas are fed through a welding gun.
Researchers prefer GMAW welding because it is easier to
execute, it produces a cleaner weld and it requires less cleanup
than stick welding. It also offers better control when working
with thin metals.
In the present study the welding of 6.35mm thick plate of
AA7075-T6 alloy was carried out using Gas Metal Arc
welding (GMAW) process.
2. LITERATURE REVIEW
Ojha R.S and NehaBhadauria (2013) studied IS2062 Mild
Steel for GMAW Process optimization of process parameters
using Response Surface Methodology. Experiments were
conducted based on central composite Face Centered Cubic
design and mathematical models were developed correlating
the important controllable GMAW process parameters like
Voltage (V), welding speed (S) and gas flow rate (G) with
weld bead penetration.
Hayati E, et al., (2011), used Taguchi's method of design of
experiments a mathematical model was developed using
GMAW parameters such as, wire feed rate (W), welding
voltage (V), nozzle-to-plate distance (N), welding speed (S)
and gas flow rate (G) on weld dilution. After collecting data,
signal-to-noise ratios (S/N) were calculated and used in order
to obtain the optimum levels for every input parameter.
Balasubramanian V and Lakshminarayanan A K (2009),
Studied FSW process parameters such as tool rotational speed,
welding speed, axial force, play a major role in deciding the
weld quality. Two methods, response surface methodology
and artificial neural network were used to predict the tensile
strength of friction stir welded AA7039 aluminum alloy. The
experiments were conducted based on three factors, three-
level, and central composite face centered design with full
replications technique, and mathematical model was
developed. Sensitivity analysis was carried out to identify
critical parameters. The results obtained through response
surface methodology were compared with those through
artificial neural networks.
DameraNageswara Rao (2012), presented a review, made on
Response Surface Method based Design of Experiments that
have been employed for various welding processes by other
researchers. This study predominantly focused on the usage of
Response Surface Method in Welding.
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 03 Issue: 02 | Feb-2014, Available @ http://www.ijret.org 163
Sivasakthivel PS, Vel-Muruganb V and Sudhakaran R,
(2012) established relationship between welding input
parameters like current, welding speed, welding gun angle and
shielding gas flow rate through regression model for Gas
Tungsten Arc Welded (GTAW) 202 Grade Stainless Steel
Plates and developed mathematical model to correlate the
process parameter to depth of penetration.
3. EXPERIMENTAL PROCEDURE
All the investigations were carried out in As Welded (AW)
condition on ODOR Chennai. The GMAW was carried out
manually, using HF 3000-AD and KEDLITE -40 respectively,
3 phase,210 and 240V ± 10%, 50Hz AC equipment having gas
flow rate 25 to 30 liters/minute. In GMAW technique, top and
bottom purging was provided with 99% pure argon. The
GMAW joint was fabricated using ER-5183 electrodes
respectively with a root gap of 1.6 mm. The weld bead quality
and full penetration was achieved by selecting suitable
welding parameters.
3.1 Tensile Strength Investigation on AA 7075 –T6
Aluminum Alloy Weldments:
The tensile specimens were prepared as per ASTM E8M-04
standards. The tensile test was done in a 100 KN, Servo
Mechanical Controlled Universal Testing Machine (UNITEK
–UTE 40). The tensile test was carried out at the rate of 1.5KN
/min as per ASTM testing specification on Ministry of Micro
and small and Medium Enterprises Testing Center,
Government of India. The GMAW weldments are shown in
Fig.1
The welding experimental set up used for GMAW is shown in
Fig. 2. The welding process parameters and tensile strength
are listed in below table 1.
Fig -1: Welding Experimental set up used for GMAW
Fig.2 Fabricated Weldments by GMAW
Table -1: The welding process parameters and tensile strength
Sl.
No
Tensile
Strength
(TS)
N/mm2
Current
(I)
Voltage
(v)
Welding
speed
(WS)
(mm/min)
Gas
flow
(GF)
(Lit/hr)
1 188 180 30 85 14
2 192 185 30 85 14
3 201 190 31 80 12
3 204 190 31 80 12
4 198 190 31 85 14
5 214 195 32 75 10
6 225 200 32 75 10
7 205 190 31 80 12
8 212 200 32 75 10
9 198 185 30 85 14
10 211 195 32 75 10
11 216 200 32 75 10
12 181 180 30 85 14
13 184 185 30 85 14
14 191 195 30 85 14
15 195 200 30 85 14
16 188 180 30 85 14
17 188 180 30 85 14
18 192 185 30 85 14
19 201 190 31 80 12
20 204 190 31 80 12
21 198 190 31 85 14
22 214 195 32 75 10
23 225 200 32 75 10
24 205 190 31 80 12
25 212 200 32 75 10
26 198 185 30 85 14
27 211 195 32 75 10
28 216 200 32 75 10
29 181 180 30 85 14
30 184 185 30 85 14
31 188 180 30 85 14
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 03 Issue: 02 | Feb-2014, Available @ http://www.ijret.org 164
4. MULTIPLE REGRESSION MODEL
DEVELOPMENT
Regression analysis is mathematical measure of average
relationship between two or more variables in terms of
original units of data. Regression is used to create an equation
(or) transfer function from the measurements of the system’s
inputs and outputs acquired during a passive or active
experiment (Kazmier, 2005). Multiple regression analysis was
conducted using tensile strength (TS) as a dependent variable
and Current (I), Voltage (V), Welding speed (WS), Gas flow
(GF) as the independent variables.
4.1 GMAW - Regression Analysis for Tensile
Strength
SPSS 16 was used to analyze the response of this study.
Pearson correlation was used to analyses correlation among
the seven variables. All the variables were significantly
correlated with one another at 0.001.
TS = f (I, V, WS, GF)
Gas flow (GF) are not significant in explaining the variation in
tensile strength, we developed the reduced regression that
excluded the variables.
The reduced model has the following form:
TS = f (I, V, WS)
R2
Value summary, ANOVA and regression coefficient for
GMAW are presented in the table 2, 3 and 4.
Table -2: Summary of R2
for Regression Model
Model R R Square Adjusted
R Square
Std.
Error of
the
Estimate
1 0.983 0.965 0.963 2.90690
Table -3: ANOVA for GMAW
Table -4: Coefficients for GMAW
SPSS 16 based on the analysis, formulated the transfer
function for tensile strength shown in the equation:
TS = - 4.277 I - 3.587 V – 9.846 WS + 1753.930 ……… (1)
5. RESPONSE SURFACE MODEL
The above transfer function is simple and not specifies the
interaction between the predictors and need additional
experimental data to estimate squared terms. So that RSM as
chosen, and formulate the transfer function with interaction
reported by Minitab 15.RSM is a collection of mathematical
and statistical techniques that are useful for the modeling and
analysis of problems in which a response of interact is
influenced by several variables (Montgomery, 2002).
Minitab 15 based on the analysis, formulated the transfer
function with interaction shown in this equation:
TS = -4.99444 I + 5.47500 V – 11.0722 WS - 0.151389
V*V+ 1832.02 ………… (2)
5.1 Surface Plot
The above transfer function is a mathematical description of
the system behavior and validated the transfer function with
interaction using surface plot. Surface plot allow us to
visualize the system’s behavior (Antis et al., 2006). The
surface plot is shown in Figure 3.
Fig 3 Surface plot for tensile strength Vs Welding speed and
Voltage
180
195
30
32
34
210
52.5
50.0
36
55.0
57.5
55.0
tensilestrength
weldingspeed
voltage
Surface Plot of tensilestrength vs weldingspeed, voltage
Model
Sum of
Squares
Df
Mean
Square
F Sig.
Regression 8494.897 3 2831.632 335.101 0.000
Residual 304.203 27 8.450
Total 8799.100 30
Model
Un standardized
Coefficients
Standardized
Coefficients t Sig.
B Std. Error Beta
(Constant) 1753.930 257.108 6.822 0.000
Current -4.277 0.989 -0.395 -4.325 0.000
Voltage -3.587 1.013 -0.471 -3.540 0.001
Weld
speed
-9.846 0.987 -1.756 -9.978 0.000
Gas flow -0.622 0.783 -0.047 -0.795 0.432
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 03 Issue: 02 | Feb-2014, Available @ http://www.ijret.org 165
The Welding speed (WS) Vs voltage (V) surface plot is a
plane because the welding speed (WS) Vs voltage (V) appear
as linear terms and do not interact (Montgomery, 2002).
6. MODEL VALIDITATION
The regression models such as multiple regression model and
response surface regression model have explained the
variation accounts for 96.5 percent (ref R Square value from
SPSS 16 and Minitab 15) of the total Variation seen in the
experiment (Ng et al., 2004).
The F ratio is significant at the 0.00 level, which means that
the results of the regression models could hardly have
occurred by chance (Chacker and Jabnoun, 2003).
The quality of the regression can also be assessed from a plot
of residuals versus the fitted values. The plot shows no
observable structure ref. Fig. 4.
Fig 4 Surface plot Residual Vs Fitted Value
CONCLUSIONS
The resulting multiple regression model
From above equation 1
There is a negative relationship between the welding speed
(WS) and tensile strength (TS), Current (I) and tensile strength
(TS) and Voltage (V) and tensile strength (TS) welding speed
(WS) and tensile strength (TS) as the regression coefficient is
9.846 Mathematically, it means that the tensile strength will
decrease 9.846 % if the welding speed increases 1% without
change of all other predictors (Cao et al., 2006).
The Resulting response surface modal
From above equation 2
Voltage (V) and voltage (V) pair, welding speed (WS) and
welding speed (WS) pair, have a low interaction coefficient,
which does not affect the response much.
REFERENCES
[1]. Antis D., Slusky L. and Creveling C.M.(2003), “Design
for Six Sigma”, Printed in Pearson Education, Inc., New
Delhi, India.
[2]. Balasubramanian V and Lakshminarayanan A.K (2009),
“Comparison of RSM with ANN in predicting tensile strength
of friction stir welded AA7039 aluminum alloy joints”, Trans.
Nonferrous Met. Society, china 19, pp. 9−18.
[3]. Cheng Liu, Northwood.D.O, Bhole.S.D (2004), “Tensile
fracture behavior in CO2 laser beam welds of 7075-T6
aluminum alloy”, Materials and Design, Vol. 25, pp. 573–
577.
[4]. D. J. Shindo, A. R. Rivera, L. E. Murr (2002),” Shape
optimization for tool wear in the friction-stir welding of cast
AI359-20% SiC MMC”, Journal of Materials Science, Vol.
37, pp. 4999 – 5005.
[5]. DameraNageswara Rao, ChalamalasettiSrinivasa Rao and
Kondapalli Siva Prasad (2012), “Review on Application of
Response Surface Method based Design of Experiments to
Welding Processes”, Journal for Manufacturing Science and
Production, Vol.12, Issue. 1, pp. 17–24.
[6]. Geofeng Fu, FuguanTian, Hong Wang (2006), “Studied
on softening of heat affected zone of pulsed current GMA
welded Al-Zn-Mg alloy”. Journal of material Process
Technology, Vol. 180, Issue. 1-3, pp. 216–220.
[7]. Hayati E, Mehrdad E and Aghakhani M (2011),
“Parametric Optimization of Gas Metal Arc Welding
Process by Taguchi Method on Weld Dilution”, International
Journal of Modeling and Optimization, Vol. 1, No. 3, pp. 216-
220.
[8]. Kazmier J.L. (2005), “Business Statistics” Printed in Tata
McGraw-Hill Publishing Company Limited, New Delhi, India.
[9]. Kaja Bantha Navas R, Sivashanmugam.M and Pranesh
(2013), “Evaluating the performance of Gas metal Arc
Welding process on AA7075-T6 Al alloy using data
envelopment analysis”, International Journal of Mechanical
Research And Application, Vol.1,Issue.5,pp.27-32.
[10]. Lefebvre F., Ganguly S and Sinclair I. (2005)
“Micromechanical aspects of Fatigue in a MIG welded
aluminum airframe alloy”, Material Science and Engineering ,
Vol. 397. pp. 338-345.
[11]. Montgomery C.D.(2002), “Design and Analysis of
Experiments” Printed in John Wiley and Sons, Inc. New York,
USA.
[12]. Ojha R.S and NehaBhadauria (2012), “Optimisation of
Process Parameters for Weld Bead Penetration of IS2062 Mild
Steel for GMAW Process Using Response Surface
Methodology”,International Journal of Advanced Research in
Computer Science and Software Engineering, Vol. 2, Issue.
10, pp. 349 – 353.
[13]. Ravindra, B.,Senthil Kumar T and Balasubramanian
V.(2011) “Fatigue lif prediction of gas metal are welded
cruciform joints of AA7075 aluminum alloy failing from root
region”, Trans. Nonferrous Met. Soc. China, Vol.21, pp. 1210-
1217.
220215210205200195190185
7.5
5.0
2.5
0.0
-2.5
-5.0
Fitted Value
Residual
Versus Fits
(response is ts)
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 03 Issue: 02 | Feb-2014, Available @ http://www.ijret.org 166
[14]. Sivasakthivel PS, Vel-Muruganb V and Sudhakaran R
(2012), “Effect of Process Parameters on Depth of Penetration
in Gas Tungsten Arc Welded (GTAW) 202 Grade Stainless
Steel Plates Using Response Surface Methodology”, The
Journal of Enginnering Research, Vol. 9, No. 1, pp. 64-79.
BIOGRAPHIES
Dr. SivaShanmugam M. is an Associate
Professor at the Department of Mechanical &
Production Engineering in Sathyabama
University, Chennai. His doctorate was on
material joining process in Aerospace
industry. He has published 4 papers in
International Journal and 12 papers in
International Conference. His area of interest is in
manufacturing and robotics.
Arun Kumar K is an Assistant Professor at the Department
of Mechanical & Production Engineering Department in
Sathyabama University, Chennai. He has published 1 paper in
International Journal and 4 papers in International Conference.
His area of interest is in Design of Experiment and Industrial
Engineering.
Kaja Bantha Navas R is an Assistant
Professor at the Department of Mechanical &
Production Engineering Department in
Sathyabama University, Chennai. He has
published 1 paper in International Journal and
4 papers in International Conference. His area of interest is in
modeling and analysis of Manufacturing Processes and
Optimization, Design of Experiment and Industrial
Engineering.
Essam Ahamad M.A is an Under graduate
Final Year student, Department of
Mechanical And Production Engineering,
Chennai. He has presented and a paper in
International Conference Organized by
“Indian Institute of Metals, Indian Nuclear
Society and Indira Gandhi Centre for Atomic Research”. The
Area of interest beyond him is on manufacturing and Power.

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Effect of process parameters on tensile strength in gas metal arc welded joints aa7075 t6 aluminum alloy by using regression and response surface model

  • 1. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 03 Issue: 02 | Feb-2014, Available @ http://www.ijret.org 162 EFFECT OF PROCESS PARAMETERS ON TENSILE STRENGTH IN GAS METAL ARC WELDED JOINTS AA7075-T6 ALUMINUM ALLOY BY USING REGRESSION AND RESPONSE SURFACE MODEL Sivashanmugam.M1 , Arun Kumar K2 , KajaBanthaNavas R3 , Essam Ahamed M.A4 1 Associate Professor, 2, 3 Assistant Professor, 4 UG final year student, Department of Mechanical & Production Engineering, Sathyabama University, Chennai, India Abstract Aluminum and its alloys have been used in recent times due to their light weight, moderate strength and good corrosion resistance. Aluminum alloy 7075-T6 has been researched upon especially as a potential candidate for aircraft material. This alloy is difficult to weld using conventional welding techniques like GTAW and GMAW. An attempt has been made in this paper to weld 7075-T6 alloy using GMAW with argon as a shielding gas. The welding experiment was carried out on Odor, Chennai and tensile strength tested on Ministry of Micro and small and Medium Enterprises Testing Center, Government of India, Chennai for the purpose of improving tensile strength. In order to formulate the equation between important welding parameters like current (I), Voltage (V), Welding Speed (WS) and Gas flow (GS) (predictors) and tensile strength (response) so that multiple regression as chosen and validated this model SPSS 16 and formulated the transfer function with interaction between predictors reported by Minitab 15. Keywords: AA 7075 aluminum alloy, Gas Metal arc welding, Regression Model, Response Surface model -----------------------------------------------------------------------***----------------------------------------------------------------------- 1. INTRODUCTION The preferred welding processes for fabricating the AA7075 alloy are frequently Gas Metal Arc Welding (GMAW) process due to their comparatively easier applicability and better economy. The weld Fusion Zone (FZ) typically exhibit coarse columnar grains because of the prevailing thermal conditions during weld metal solidification. This often results inferior weld mechanical properties and poor resistance to hot cracking. In GMAW welding, a continuous, consumable wire electrode and a shielding gas are fed through a welding gun. Researchers prefer GMAW welding because it is easier to execute, it produces a cleaner weld and it requires less cleanup than stick welding. It also offers better control when working with thin metals. In the present study the welding of 6.35mm thick plate of AA7075-T6 alloy was carried out using Gas Metal Arc welding (GMAW) process. 2. LITERATURE REVIEW Ojha R.S and NehaBhadauria (2013) studied IS2062 Mild Steel for GMAW Process optimization of process parameters using Response Surface Methodology. Experiments were conducted based on central composite Face Centered Cubic design and mathematical models were developed correlating the important controllable GMAW process parameters like Voltage (V), welding speed (S) and gas flow rate (G) with weld bead penetration. Hayati E, et al., (2011), used Taguchi's method of design of experiments a mathematical model was developed using GMAW parameters such as, wire feed rate (W), welding voltage (V), nozzle-to-plate distance (N), welding speed (S) and gas flow rate (G) on weld dilution. After collecting data, signal-to-noise ratios (S/N) were calculated and used in order to obtain the optimum levels for every input parameter. Balasubramanian V and Lakshminarayanan A K (2009), Studied FSW process parameters such as tool rotational speed, welding speed, axial force, play a major role in deciding the weld quality. Two methods, response surface methodology and artificial neural network were used to predict the tensile strength of friction stir welded AA7039 aluminum alloy. The experiments were conducted based on three factors, three- level, and central composite face centered design with full replications technique, and mathematical model was developed. Sensitivity analysis was carried out to identify critical parameters. The results obtained through response surface methodology were compared with those through artificial neural networks. DameraNageswara Rao (2012), presented a review, made on Response Surface Method based Design of Experiments that have been employed for various welding processes by other researchers. This study predominantly focused on the usage of Response Surface Method in Welding.
  • 2. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 03 Issue: 02 | Feb-2014, Available @ http://www.ijret.org 163 Sivasakthivel PS, Vel-Muruganb V and Sudhakaran R, (2012) established relationship between welding input parameters like current, welding speed, welding gun angle and shielding gas flow rate through regression model for Gas Tungsten Arc Welded (GTAW) 202 Grade Stainless Steel Plates and developed mathematical model to correlate the process parameter to depth of penetration. 3. EXPERIMENTAL PROCEDURE All the investigations were carried out in As Welded (AW) condition on ODOR Chennai. The GMAW was carried out manually, using HF 3000-AD and KEDLITE -40 respectively, 3 phase,210 and 240V ± 10%, 50Hz AC equipment having gas flow rate 25 to 30 liters/minute. In GMAW technique, top and bottom purging was provided with 99% pure argon. The GMAW joint was fabricated using ER-5183 electrodes respectively with a root gap of 1.6 mm. The weld bead quality and full penetration was achieved by selecting suitable welding parameters. 3.1 Tensile Strength Investigation on AA 7075 –T6 Aluminum Alloy Weldments: The tensile specimens were prepared as per ASTM E8M-04 standards. The tensile test was done in a 100 KN, Servo Mechanical Controlled Universal Testing Machine (UNITEK –UTE 40). The tensile test was carried out at the rate of 1.5KN /min as per ASTM testing specification on Ministry of Micro and small and Medium Enterprises Testing Center, Government of India. The GMAW weldments are shown in Fig.1 The welding experimental set up used for GMAW is shown in Fig. 2. The welding process parameters and tensile strength are listed in below table 1. Fig -1: Welding Experimental set up used for GMAW Fig.2 Fabricated Weldments by GMAW Table -1: The welding process parameters and tensile strength Sl. No Tensile Strength (TS) N/mm2 Current (I) Voltage (v) Welding speed (WS) (mm/min) Gas flow (GF) (Lit/hr) 1 188 180 30 85 14 2 192 185 30 85 14 3 201 190 31 80 12 3 204 190 31 80 12 4 198 190 31 85 14 5 214 195 32 75 10 6 225 200 32 75 10 7 205 190 31 80 12 8 212 200 32 75 10 9 198 185 30 85 14 10 211 195 32 75 10 11 216 200 32 75 10 12 181 180 30 85 14 13 184 185 30 85 14 14 191 195 30 85 14 15 195 200 30 85 14 16 188 180 30 85 14 17 188 180 30 85 14 18 192 185 30 85 14 19 201 190 31 80 12 20 204 190 31 80 12 21 198 190 31 85 14 22 214 195 32 75 10 23 225 200 32 75 10 24 205 190 31 80 12 25 212 200 32 75 10 26 198 185 30 85 14 27 211 195 32 75 10 28 216 200 32 75 10 29 181 180 30 85 14 30 184 185 30 85 14 31 188 180 30 85 14
  • 3. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 03 Issue: 02 | Feb-2014, Available @ http://www.ijret.org 164 4. MULTIPLE REGRESSION MODEL DEVELOPMENT Regression analysis is mathematical measure of average relationship between two or more variables in terms of original units of data. Regression is used to create an equation (or) transfer function from the measurements of the system’s inputs and outputs acquired during a passive or active experiment (Kazmier, 2005). Multiple regression analysis was conducted using tensile strength (TS) as a dependent variable and Current (I), Voltage (V), Welding speed (WS), Gas flow (GF) as the independent variables. 4.1 GMAW - Regression Analysis for Tensile Strength SPSS 16 was used to analyze the response of this study. Pearson correlation was used to analyses correlation among the seven variables. All the variables were significantly correlated with one another at 0.001. TS = f (I, V, WS, GF) Gas flow (GF) are not significant in explaining the variation in tensile strength, we developed the reduced regression that excluded the variables. The reduced model has the following form: TS = f (I, V, WS) R2 Value summary, ANOVA and regression coefficient for GMAW are presented in the table 2, 3 and 4. Table -2: Summary of R2 for Regression Model Model R R Square Adjusted R Square Std. Error of the Estimate 1 0.983 0.965 0.963 2.90690 Table -3: ANOVA for GMAW Table -4: Coefficients for GMAW SPSS 16 based on the analysis, formulated the transfer function for tensile strength shown in the equation: TS = - 4.277 I - 3.587 V – 9.846 WS + 1753.930 ……… (1) 5. RESPONSE SURFACE MODEL The above transfer function is simple and not specifies the interaction between the predictors and need additional experimental data to estimate squared terms. So that RSM as chosen, and formulate the transfer function with interaction reported by Minitab 15.RSM is a collection of mathematical and statistical techniques that are useful for the modeling and analysis of problems in which a response of interact is influenced by several variables (Montgomery, 2002). Minitab 15 based on the analysis, formulated the transfer function with interaction shown in this equation: TS = -4.99444 I + 5.47500 V – 11.0722 WS - 0.151389 V*V+ 1832.02 ………… (2) 5.1 Surface Plot The above transfer function is a mathematical description of the system behavior and validated the transfer function with interaction using surface plot. Surface plot allow us to visualize the system’s behavior (Antis et al., 2006). The surface plot is shown in Figure 3. Fig 3 Surface plot for tensile strength Vs Welding speed and Voltage 180 195 30 32 34 210 52.5 50.0 36 55.0 57.5 55.0 tensilestrength weldingspeed voltage Surface Plot of tensilestrength vs weldingspeed, voltage Model Sum of Squares Df Mean Square F Sig. Regression 8494.897 3 2831.632 335.101 0.000 Residual 304.203 27 8.450 Total 8799.100 30 Model Un standardized Coefficients Standardized Coefficients t Sig. B Std. Error Beta (Constant) 1753.930 257.108 6.822 0.000 Current -4.277 0.989 -0.395 -4.325 0.000 Voltage -3.587 1.013 -0.471 -3.540 0.001 Weld speed -9.846 0.987 -1.756 -9.978 0.000 Gas flow -0.622 0.783 -0.047 -0.795 0.432
  • 4. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 03 Issue: 02 | Feb-2014, Available @ http://www.ijret.org 165 The Welding speed (WS) Vs voltage (V) surface plot is a plane because the welding speed (WS) Vs voltage (V) appear as linear terms and do not interact (Montgomery, 2002). 6. MODEL VALIDITATION The regression models such as multiple regression model and response surface regression model have explained the variation accounts for 96.5 percent (ref R Square value from SPSS 16 and Minitab 15) of the total Variation seen in the experiment (Ng et al., 2004). The F ratio is significant at the 0.00 level, which means that the results of the regression models could hardly have occurred by chance (Chacker and Jabnoun, 2003). The quality of the regression can also be assessed from a plot of residuals versus the fitted values. The plot shows no observable structure ref. Fig. 4. Fig 4 Surface plot Residual Vs Fitted Value CONCLUSIONS The resulting multiple regression model From above equation 1 There is a negative relationship between the welding speed (WS) and tensile strength (TS), Current (I) and tensile strength (TS) and Voltage (V) and tensile strength (TS) welding speed (WS) and tensile strength (TS) as the regression coefficient is 9.846 Mathematically, it means that the tensile strength will decrease 9.846 % if the welding speed increases 1% without change of all other predictors (Cao et al., 2006). The Resulting response surface modal From above equation 2 Voltage (V) and voltage (V) pair, welding speed (WS) and welding speed (WS) pair, have a low interaction coefficient, which does not affect the response much. REFERENCES [1]. Antis D., Slusky L. and Creveling C.M.(2003), “Design for Six Sigma”, Printed in Pearson Education, Inc., New Delhi, India. [2]. Balasubramanian V and Lakshminarayanan A.K (2009), “Comparison of RSM with ANN in predicting tensile strength of friction stir welded AA7039 aluminum alloy joints”, Trans. Nonferrous Met. Society, china 19, pp. 9−18. [3]. Cheng Liu, Northwood.D.O, Bhole.S.D (2004), “Tensile fracture behavior in CO2 laser beam welds of 7075-T6 aluminum alloy”, Materials and Design, Vol. 25, pp. 573– 577. [4]. D. J. Shindo, A. R. Rivera, L. E. Murr (2002),” Shape optimization for tool wear in the friction-stir welding of cast AI359-20% SiC MMC”, Journal of Materials Science, Vol. 37, pp. 4999 – 5005. [5]. DameraNageswara Rao, ChalamalasettiSrinivasa Rao and Kondapalli Siva Prasad (2012), “Review on Application of Response Surface Method based Design of Experiments to Welding Processes”, Journal for Manufacturing Science and Production, Vol.12, Issue. 1, pp. 17–24. [6]. Geofeng Fu, FuguanTian, Hong Wang (2006), “Studied on softening of heat affected zone of pulsed current GMA welded Al-Zn-Mg alloy”. Journal of material Process Technology, Vol. 180, Issue. 1-3, pp. 216–220. [7]. Hayati E, Mehrdad E and Aghakhani M (2011), “Parametric Optimization of Gas Metal Arc Welding Process by Taguchi Method on Weld Dilution”, International Journal of Modeling and Optimization, Vol. 1, No. 3, pp. 216- 220. [8]. Kazmier J.L. (2005), “Business Statistics” Printed in Tata McGraw-Hill Publishing Company Limited, New Delhi, India. [9]. Kaja Bantha Navas R, Sivashanmugam.M and Pranesh (2013), “Evaluating the performance of Gas metal Arc Welding process on AA7075-T6 Al alloy using data envelopment analysis”, International Journal of Mechanical Research And Application, Vol.1,Issue.5,pp.27-32. [10]. Lefebvre F., Ganguly S and Sinclair I. (2005) “Micromechanical aspects of Fatigue in a MIG welded aluminum airframe alloy”, Material Science and Engineering , Vol. 397. pp. 338-345. [11]. Montgomery C.D.(2002), “Design and Analysis of Experiments” Printed in John Wiley and Sons, Inc. New York, USA. [12]. Ojha R.S and NehaBhadauria (2012), “Optimisation of Process Parameters for Weld Bead Penetration of IS2062 Mild Steel for GMAW Process Using Response Surface Methodology”,International Journal of Advanced Research in Computer Science and Software Engineering, Vol. 2, Issue. 10, pp. 349 – 353. [13]. Ravindra, B.,Senthil Kumar T and Balasubramanian V.(2011) “Fatigue lif prediction of gas metal are welded cruciform joints of AA7075 aluminum alloy failing from root region”, Trans. Nonferrous Met. Soc. China, Vol.21, pp. 1210- 1217. 220215210205200195190185 7.5 5.0 2.5 0.0 -2.5 -5.0 Fitted Value Residual Versus Fits (response is ts)
  • 5. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 03 Issue: 02 | Feb-2014, Available @ http://www.ijret.org 166 [14]. Sivasakthivel PS, Vel-Muruganb V and Sudhakaran R (2012), “Effect of Process Parameters on Depth of Penetration in Gas Tungsten Arc Welded (GTAW) 202 Grade Stainless Steel Plates Using Response Surface Methodology”, The Journal of Enginnering Research, Vol. 9, No. 1, pp. 64-79. BIOGRAPHIES Dr. SivaShanmugam M. is an Associate Professor at the Department of Mechanical & Production Engineering in Sathyabama University, Chennai. His doctorate was on material joining process in Aerospace industry. He has published 4 papers in International Journal and 12 papers in International Conference. His area of interest is in manufacturing and robotics. Arun Kumar K is an Assistant Professor at the Department of Mechanical & Production Engineering Department in Sathyabama University, Chennai. He has published 1 paper in International Journal and 4 papers in International Conference. His area of interest is in Design of Experiment and Industrial Engineering. Kaja Bantha Navas R is an Assistant Professor at the Department of Mechanical & Production Engineering Department in Sathyabama University, Chennai. He has published 1 paper in International Journal and 4 papers in International Conference. His area of interest is in modeling and analysis of Manufacturing Processes and Optimization, Design of Experiment and Industrial Engineering. Essam Ahamad M.A is an Under graduate Final Year student, Department of Mechanical And Production Engineering, Chennai. He has presented and a paper in International Conference Organized by “Indian Institute of Metals, Indian Nuclear Society and Indira Gandhi Centre for Atomic Research”. The Area of interest beyond him is on manufacturing and Power.