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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395 -0056
Volume: 04 Issue: 02 | Feb -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 613
Study of Surface Roughness measurement in turning of EN 18 steel
Ajay Rana
Assistant Professor, Dept. of Mechanical Engineering, Universal Group of Institutions, Punjab, India
---------------------------------------------------------------------***---------------------------------------------------------------------
Abstract – Increasing the productivity with quality is the
main key areas focused in the present scenario of
manufacturing. Various techniques have been implementedto
improve the machining processes to increase the productivity.
And Turning is one of the most important manufacturing
techniques because of itssimplicityandeffectiveness. Themain
aim of this study is to optimize the understudy parameter
specially the surface roughness (Ra) in turning of EN 18 Steel
work piece by using three input parameters i.e. spindle speed,
feed rate and depth of cut. Experimental work was doneusing
Design Expert 7.0.0 (dx7) software with Central Composite
Design (CCD) approach. The input parameters were varied at
three different levels. And turning was done using CNC lathe
machine and surface roughness wasmeasuredwiththehelpof
portable Mitotoyo Surftest-4 tester. This study uses Response
surface methodology to find the optimum machining
parameters to produceminimumsurfaceroughnesspossiblein
turning process. Regression Equations were developed for
Surface Roughness. Confirmationexperimentswereconducted
in end to validate the results of experimental work.
Key Words: HMT HS CNC lathe, EN 18 steel, Response
surface methodology (RSM), Surface roughness, CCD
central composite design.
1. INTRODUCTION
Since ages, Lathe has been revolutionary inindustrial sector.
Since that time there have been manydrastic improvements,
whether it is in manufacturing of Lathe machine or is it in
processes done on it. The increased demand of
manufacturing components of higher accuracy and in large
quantities has also added importance to value of Lathe.
Nowadays, Lathes have been attached with computers to
increase its efficiency to generate parts of higheraccuracyin
very short span of time. These machines are named as CNC
machines, i.e. Computer Numerical Control Machines. These
CNC’s help to generate designs of high complexities with
ease. In this study, CNC was used namely HMT Stallion HS
CNC Lathe Machine to process the workpiece. On the other
hand, turning process used in this investigation is one of the
most commonly used processes of manufacturing. Whereas,
EN 18 is an alloyed medium carbon steel which finds
applications in manufacturing of shafts, stressed pins,studs,
keys etc. These components aremanufactured byprocess i.e.
turning. And Minimizing surface roughness has been the
main aim of this study.
2. EXPERIMENTAL PROCEDURE
In this study, Design Expert 7.0.0 (dx7) software was used
and by using Central Composite Design (CCD) approach the
experimental plan was developed for single response
optimization. In this study, Response Surface Methodology
was used to optimize the Surface Roughness. Response
surface methodology (RSM) is a collection of mathematical
and statistical techniques used for empirical model building.
Where a response of interest is influenced by several
variables and the objective is to optimize the response. To
find relation between input and response variable, usually
first order model is used, as given in equation below
Where, y is the response understudy, β is regression
coefficient and  is error. If the result can still be improved,
then the Second order model is applied, as given below
The values of regression coefficients are obtained by
regression analysis of 23 factorial designs. The
experimentation work was conducted using a HMT Stallion
CNC lathe machine and Mitotoyo Surftest-4 tester was used
to measure the surface roughness. The study used speed,
feed and depth of cut as input process parameters varied at
three different levels. Design Expert was used for collected
data analysis. And overall Desirability was found by
numerical optimization. At the end analyzed result was
validated by conducting confirmation experiments.
2.1 Workpiece Material
In Present work, EN 18 alloyed medium carbon steel is used
which is quite responsiveto mechanical andheattreatments.
This offers more strength and toughness than mild steel. It
finds application in automobiles,shafts,pins,couplings,rolls,
keys parts.
Table 1: Chemical Composition of EN-18
Element C Si Cr S P Mn
Percentage
(%)
0.35-
0.45
0.10-
0.35
0.85-
1.15
0.050 0.050
0.60-
0.95
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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395 -0056
Volume: 04 Issue: 02 | Feb -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 614
2.2 Flow Process Chart
Fig. 1 Flow chart
2.3 Process Variables and their levels
The process variables working ranges was selected by
performing pilot study. In the present experimental study
spindle speed, feed rate and depth of cut has been
considered as process variables. The process variables with
their units (and notations) are listed in Table 2
Table 2: Process Variables
Factors Units Level 1 Level 2 Level 3
Spindle
Speed (N)
rpm 1500 2500 3500
Feed (F) mm/min 0.81 0.91 1.02
Depth of
Cut
mm 1.20 1.85 2.50
2.4 Experimental Results for Surface Roughness
The experiment results obtained for average Surface
Roughness are shown in Table 3. Here input factors are
Speed, Feed and DOC (depth of cut) and Response under
study is Surface Roughness (Ra).
Table 3: Results of main experiments for average Ra
Run
Factor 1
A: Speed
rpm
Factor 2
B: Feed
mm/min
Factor 3
C: DOC
mm
Response
Surface
Roughness
Ra
1 1500 1.02 2.5 3.02
2 2500 0.915 1.85 1.4
3 2500 0.915 1.85 1.98
4 2500 0.915 2.5 2.01
5 3500 0.81 2.5 2.97
6 2500 1.02 1.85 2.4
7 2500 0.915 1.2 1.24
8 3500 0.915 1.85 3.05
9 2500 0.915 1.85 1.99
10 2500 0.81 1.85 0.18
11 1500 0.81 1.2 0.15
12 2500 0.915 1.85 1.51
13 1500 0.915 1.85 1.58
14 3500 1.02 1.2 2.84
15 2500 0.915 1.85 1.86
3. RESULTS ANALYSIS AND DISCUSSIONS
3.1 ANOVA table for Surface Roughness
Table 4: ANOVA for Ra
Source Sum of
Squares
df Mean
Square
F
Value
p-value
Prob >
F
Remarks
Model 10.80 4 2.70 26.10 <
0.0001
significant
A-Speed 2.82 1 2.82 27.20 0.0004
B-Feed 4.10 1 4.10 39.62 <
0.0001
C-DOC 2.37 1 2.37 22.89 0.0007
A2 1.52 1 1.52 14.67 0.0033
Residual 1.03 10 0.10
Lack of
Fit
0.73 6 0.12 1.61 0.3350 not
significant
Pure
Error
0.30 4 0.076
CorTotal 11.84 14
Std. Dev. 0.32 C.V. % 17.12
R-
Squared
0.9126 Pred R-
Squared
0.767
1
Mean 1.88 PRESS 2.76
Adj R-
Squared
0.8776 Adeq
Precision
16.27
76
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395 -0056
Volume: 04 Issue: 02 | Feb -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 615
ANOVA (Analysis of Variance) is generally used to
summarize the performed experimental work. ANOVAtable
indicates the significance of the proposed model.
Accordingly, If “Prob.>F” value is less than 0.05, then this
shows that model is significant, which is desirable and this
also indicates that the model showsa significanteffectonthe
response variables. Lack of Fit in ANOVA shows whetherthe
model is ready to fit or not. And insignificant value of Lack of
Fit is desirable as we want the model to fit. Here for, Surface
roughness the least significant terms are eliminated to
improve the model.
Table 4 shows ANOVA table for Surface roughness. And it is
quite visible that Prob.>F value is less than 0.05, which
shows that model is significant and model fits well as it has
insignificant Lack of Fit. ANOVA table also shows the R-
squared value to be high and close to one, which isdesirable.
And there is close agreement within R-squared value and
Adj. R-squared value. "Adeq Precision" measures the signal
to noise ratio. A ratio greater than 4 is desirable. Here the
ratio obtained in Table 4 indicates an adequate signal. This
model can be used to navigate the design space. And hence
we conclude that the developed model is fit.
3.2 Regression Equation for Surface Roughness
The regression equations are given below in both codedand
actual factors. The insignificantcoefficientsareomittedfrom
the equations. The developed statistical model for Surface
roughness is-
Surface Roughness (coded form) =
+1.62 + 0.68 * A + 0.83 * B + 0.63 * C + 0.65 * A2
Surface Roughness (actual form) =
-5.02673-2.56222E-003* Speed+7.87302* Feed+0.96667*
DOC+6.49444E-007* Speed2
The above mentioned Regression Equations can be used to
find the desired results of Surface Roughness while turning
EN 18 steel.
3.3 Response Surface Diagram and Normal Plot of
Residuals
Fig. 2 (a) Response surface diagram b) Normal plot of
residuals and c) Residuals Vs Predicted for Surface
Roughness (Ra).
The response surface diagram for Surface Roughness(Ra)is
shown in Fig. 2 (a) which indicates that Ra value shows a
considerable increase with increased value of Feed. The
adequacy of model was examined by using residual plots.
And if the model is adequate, the points on the normal
probability plots of the residuals will follow along a straight
line.
On the other hand, the plots of the residuals versus the
predicted should be structure less, that is, there would be no
obvious pattern but all the points must lie between the red
lines. Here, it is be clearly visible that proposed model is
adequate and fits the data well. The normal probabilityplots
of the residuals and the plots of the residuals versus the
predicted for surface roughness are as shown in Fig. 2(b, c).
a)
b)
c)
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395 -0056
Volume: 04 Issue: 02 | Feb -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 616
3.4 Response Optimization for Minimum Surface
Roughness Ra.
Fig. 3 Response optimization diagrams
Table 5: Optimal parameters for Surface Roughness (Ra)
Parameters Units Optimal Parameters
Speed rpm 1740.68
Feed mm/min 0.82
Depth of Cut mm 1.27
Here, Fig. 3. Shows Response optimization diagrams andthe
value of Desirability comes out to be 0.991 and Table 5.
Shows the optimum process parametric setting where
spindle speed is 1740.68RPM,feedrateis0.82mm/min. and
depth of cut is 1.27 mm.
3.5 Validation of experiment
Table 6: Experimental comparison of developed model
with optimal parametric settings
Now, the obtained result was validated at the end of
experimental work and for this purpose confirmation
experiment for the response variable i.e. Surface Roughness
was performed at optimal levels of input variables. Then the
experimentally obtained value is compared with the
predicted value. The result is as shown in Table 6. This
clearly indicates that predicted result areinaccordancewith
experimental results obtained, as the percentage error is
very low and which confirms the developed model to be
satisfactory.
4. CONCLUSIONS
Here, in this work response understudy i.e. Surface
roughness was optimized by using three parameters i.e.
spindle speed, feed rate and depth of cut for EN 18 steel by
using Response Surface Methodology. The main conclusions
drawn are:-
1. ANOVA table analysis shows the “Pred R-Squared”
to be reasonably in agreementwith“AdjR-Squared”
which indicates the absence of any problem in data
or the model developed.
2. ANOVA table also shows the Lack of Fit value to be
insignificant which is desirable, as it indicates the
model fits the data well.
3. The adequacy of model was analyzed with the help
of normal probability plots of residuals and plots of
Residuals versus the predicted response for the
Surface Roughness. This plot revealed the
developed model to be adequate and fits data well.
Response Predicted Experimental Error %
Surface
Roughness
0.147096 0.150512 2.32%
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395 -0056
Volume: 04 Issue: 02 | Feb -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 617
4. By using response optimization, the optimal
parametric settings obtained were spindle speed of
1740.68 RPM, feed rate 0.82 mm/min. and depth
of cut 1.27 mm for achieving therequiredminimum
surface roughness and maximum MRR.
REFERENCES
[1] Chabbi Amel et al. “Predictive modeling and multi-
response optimization of technological parameters in
turning of Polyoxymethylene polymer (POM C) using
RSM and desirability function” Measurement 95, 2017
pp-99–115.
[2] John M. R. Stalin et al. “Optimization of roller burnishing
process on EN‑9 grade alloy steel using response
surface methodology” J Braz. Soc. Mech. Sci. Eng. 2016,
pp- 1-13.
[3] Raveendran P. et al “optimization of machining
parameters for minimizing surfaceroughnessinturning
operations of GFRP rod based on response surface
methodology” Int J Adv Engg Tech/Vol. VII/Issue
II/April-June,2016/pp- 1126-1129.
[4] Bobbili Ravindranadh et al. “Modelling and analysis
of material Removal rate and surface roughness in
wire-cut EDM of armour materials” Engineering
Science and Technology, an International Journal 2015
1-5.
[5] Rajpoot Bheem Singh et al. “Investigating the effect of
cutting parameters on average surface roughness and
material removal rate during turning of metal matrix
composite using Response surface methodology”
International Journal on Recent and Innovation Trends
in Computing and Communication, ISSN: 2321-8169,
Vol. 3, Issue:1,2015,pp-241-247.
[6] Ranganath M. S et al. “Experimental Analysis of surface
roughness in CNC turning of aluminium using Response
Surface Methodology” International Journal of Advance
Research and Innovation, Volume 3, Issue 1, , 2015, pp-
45-49.
[7] Thiyagu M. et al. “Experimental Studies in machining
Duplex Stainless Steel using Response surface
methodolgy” International Journal of Mechanical &
Mechatronics Engineering IJMME-IJENS Vol:14 No:03,
2014, pp:48-61.
[8] Phogat Amit et al. “Optimization of cutting parameters
for turning operations based on response surface
methodology” International Journal of Enhanced
Research in Science Technology & Engineering, ISSN:
2319-7463 Vol. 2Issue7, 2013,pp-83-89.
[9] Chinchanikar Satish et al. “Effect of work material
hardness and cutting parameters on performance of
coated carbide tool when turning hardened steel: An
optimization approach” Measurement 46, 2013, pp
1572–1584.
[10] Diniz Anselmo Eduardo et al. “Optimizing the use of dry
cutting in rough turning steel operations” International
Journal of Machine Tools & Manufacture 44, 2004,
pp.1061–1067.

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Study of Surface Roughness measurement in turning of EN 18 steel

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395 -0056 Volume: 04 Issue: 02 | Feb -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 613 Study of Surface Roughness measurement in turning of EN 18 steel Ajay Rana Assistant Professor, Dept. of Mechanical Engineering, Universal Group of Institutions, Punjab, India ---------------------------------------------------------------------***--------------------------------------------------------------------- Abstract – Increasing the productivity with quality is the main key areas focused in the present scenario of manufacturing. Various techniques have been implementedto improve the machining processes to increase the productivity. And Turning is one of the most important manufacturing techniques because of itssimplicityandeffectiveness. Themain aim of this study is to optimize the understudy parameter specially the surface roughness (Ra) in turning of EN 18 Steel work piece by using three input parameters i.e. spindle speed, feed rate and depth of cut. Experimental work was doneusing Design Expert 7.0.0 (dx7) software with Central Composite Design (CCD) approach. The input parameters were varied at three different levels. And turning was done using CNC lathe machine and surface roughness wasmeasuredwiththehelpof portable Mitotoyo Surftest-4 tester. This study uses Response surface methodology to find the optimum machining parameters to produceminimumsurfaceroughnesspossiblein turning process. Regression Equations were developed for Surface Roughness. Confirmationexperimentswereconducted in end to validate the results of experimental work. Key Words: HMT HS CNC lathe, EN 18 steel, Response surface methodology (RSM), Surface roughness, CCD central composite design. 1. INTRODUCTION Since ages, Lathe has been revolutionary inindustrial sector. Since that time there have been manydrastic improvements, whether it is in manufacturing of Lathe machine or is it in processes done on it. The increased demand of manufacturing components of higher accuracy and in large quantities has also added importance to value of Lathe. Nowadays, Lathes have been attached with computers to increase its efficiency to generate parts of higheraccuracyin very short span of time. These machines are named as CNC machines, i.e. Computer Numerical Control Machines. These CNC’s help to generate designs of high complexities with ease. In this study, CNC was used namely HMT Stallion HS CNC Lathe Machine to process the workpiece. On the other hand, turning process used in this investigation is one of the most commonly used processes of manufacturing. Whereas, EN 18 is an alloyed medium carbon steel which finds applications in manufacturing of shafts, stressed pins,studs, keys etc. These components aremanufactured byprocess i.e. turning. And Minimizing surface roughness has been the main aim of this study. 2. EXPERIMENTAL PROCEDURE In this study, Design Expert 7.0.0 (dx7) software was used and by using Central Composite Design (CCD) approach the experimental plan was developed for single response optimization. In this study, Response Surface Methodology was used to optimize the Surface Roughness. Response surface methodology (RSM) is a collection of mathematical and statistical techniques used for empirical model building. Where a response of interest is influenced by several variables and the objective is to optimize the response. To find relation between input and response variable, usually first order model is used, as given in equation below Where, y is the response understudy, β is regression coefficient and  is error. If the result can still be improved, then the Second order model is applied, as given below The values of regression coefficients are obtained by regression analysis of 23 factorial designs. The experimentation work was conducted using a HMT Stallion CNC lathe machine and Mitotoyo Surftest-4 tester was used to measure the surface roughness. The study used speed, feed and depth of cut as input process parameters varied at three different levels. Design Expert was used for collected data analysis. And overall Desirability was found by numerical optimization. At the end analyzed result was validated by conducting confirmation experiments. 2.1 Workpiece Material In Present work, EN 18 alloyed medium carbon steel is used which is quite responsiveto mechanical andheattreatments. This offers more strength and toughness than mild steel. It finds application in automobiles,shafts,pins,couplings,rolls, keys parts. Table 1: Chemical Composition of EN-18 Element C Si Cr S P Mn Percentage (%) 0.35- 0.45 0.10- 0.35 0.85- 1.15 0.050 0.050 0.60- 0.95   kiiiiiii kxxxy .....0     ji jiij k i iii k i ii xxxxy 1 2 1 0
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395 -0056 Volume: 04 Issue: 02 | Feb -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 614 2.2 Flow Process Chart Fig. 1 Flow chart 2.3 Process Variables and their levels The process variables working ranges was selected by performing pilot study. In the present experimental study spindle speed, feed rate and depth of cut has been considered as process variables. The process variables with their units (and notations) are listed in Table 2 Table 2: Process Variables Factors Units Level 1 Level 2 Level 3 Spindle Speed (N) rpm 1500 2500 3500 Feed (F) mm/min 0.81 0.91 1.02 Depth of Cut mm 1.20 1.85 2.50 2.4 Experimental Results for Surface Roughness The experiment results obtained for average Surface Roughness are shown in Table 3. Here input factors are Speed, Feed and DOC (depth of cut) and Response under study is Surface Roughness (Ra). Table 3: Results of main experiments for average Ra Run Factor 1 A: Speed rpm Factor 2 B: Feed mm/min Factor 3 C: DOC mm Response Surface Roughness Ra 1 1500 1.02 2.5 3.02 2 2500 0.915 1.85 1.4 3 2500 0.915 1.85 1.98 4 2500 0.915 2.5 2.01 5 3500 0.81 2.5 2.97 6 2500 1.02 1.85 2.4 7 2500 0.915 1.2 1.24 8 3500 0.915 1.85 3.05 9 2500 0.915 1.85 1.99 10 2500 0.81 1.85 0.18 11 1500 0.81 1.2 0.15 12 2500 0.915 1.85 1.51 13 1500 0.915 1.85 1.58 14 3500 1.02 1.2 2.84 15 2500 0.915 1.85 1.86 3. RESULTS ANALYSIS AND DISCUSSIONS 3.1 ANOVA table for Surface Roughness Table 4: ANOVA for Ra Source Sum of Squares df Mean Square F Value p-value Prob > F Remarks Model 10.80 4 2.70 26.10 < 0.0001 significant A-Speed 2.82 1 2.82 27.20 0.0004 B-Feed 4.10 1 4.10 39.62 < 0.0001 C-DOC 2.37 1 2.37 22.89 0.0007 A2 1.52 1 1.52 14.67 0.0033 Residual 1.03 10 0.10 Lack of Fit 0.73 6 0.12 1.61 0.3350 not significant Pure Error 0.30 4 0.076 CorTotal 11.84 14 Std. Dev. 0.32 C.V. % 17.12 R- Squared 0.9126 Pred R- Squared 0.767 1 Mean 1.88 PRESS 2.76 Adj R- Squared 0.8776 Adeq Precision 16.27 76
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395 -0056 Volume: 04 Issue: 02 | Feb -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 615 ANOVA (Analysis of Variance) is generally used to summarize the performed experimental work. ANOVAtable indicates the significance of the proposed model. Accordingly, If “Prob.>F” value is less than 0.05, then this shows that model is significant, which is desirable and this also indicates that the model showsa significanteffectonthe response variables. Lack of Fit in ANOVA shows whetherthe model is ready to fit or not. And insignificant value of Lack of Fit is desirable as we want the model to fit. Here for, Surface roughness the least significant terms are eliminated to improve the model. Table 4 shows ANOVA table for Surface roughness. And it is quite visible that Prob.>F value is less than 0.05, which shows that model is significant and model fits well as it has insignificant Lack of Fit. ANOVA table also shows the R- squared value to be high and close to one, which isdesirable. And there is close agreement within R-squared value and Adj. R-squared value. "Adeq Precision" measures the signal to noise ratio. A ratio greater than 4 is desirable. Here the ratio obtained in Table 4 indicates an adequate signal. This model can be used to navigate the design space. And hence we conclude that the developed model is fit. 3.2 Regression Equation for Surface Roughness The regression equations are given below in both codedand actual factors. The insignificantcoefficientsareomittedfrom the equations. The developed statistical model for Surface roughness is- Surface Roughness (coded form) = +1.62 + 0.68 * A + 0.83 * B + 0.63 * C + 0.65 * A2 Surface Roughness (actual form) = -5.02673-2.56222E-003* Speed+7.87302* Feed+0.96667* DOC+6.49444E-007* Speed2 The above mentioned Regression Equations can be used to find the desired results of Surface Roughness while turning EN 18 steel. 3.3 Response Surface Diagram and Normal Plot of Residuals Fig. 2 (a) Response surface diagram b) Normal plot of residuals and c) Residuals Vs Predicted for Surface Roughness (Ra). The response surface diagram for Surface Roughness(Ra)is shown in Fig. 2 (a) which indicates that Ra value shows a considerable increase with increased value of Feed. The adequacy of model was examined by using residual plots. And if the model is adequate, the points on the normal probability plots of the residuals will follow along a straight line. On the other hand, the plots of the residuals versus the predicted should be structure less, that is, there would be no obvious pattern but all the points must lie between the red lines. Here, it is be clearly visible that proposed model is adequate and fits the data well. The normal probabilityplots of the residuals and the plots of the residuals versus the predicted for surface roughness are as shown in Fig. 2(b, c). a) b) c)
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395 -0056 Volume: 04 Issue: 02 | Feb -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 616 3.4 Response Optimization for Minimum Surface Roughness Ra. Fig. 3 Response optimization diagrams Table 5: Optimal parameters for Surface Roughness (Ra) Parameters Units Optimal Parameters Speed rpm 1740.68 Feed mm/min 0.82 Depth of Cut mm 1.27 Here, Fig. 3. Shows Response optimization diagrams andthe value of Desirability comes out to be 0.991 and Table 5. Shows the optimum process parametric setting where spindle speed is 1740.68RPM,feedrateis0.82mm/min. and depth of cut is 1.27 mm. 3.5 Validation of experiment Table 6: Experimental comparison of developed model with optimal parametric settings Now, the obtained result was validated at the end of experimental work and for this purpose confirmation experiment for the response variable i.e. Surface Roughness was performed at optimal levels of input variables. Then the experimentally obtained value is compared with the predicted value. The result is as shown in Table 6. This clearly indicates that predicted result areinaccordancewith experimental results obtained, as the percentage error is very low and which confirms the developed model to be satisfactory. 4. CONCLUSIONS Here, in this work response understudy i.e. Surface roughness was optimized by using three parameters i.e. spindle speed, feed rate and depth of cut for EN 18 steel by using Response Surface Methodology. The main conclusions drawn are:- 1. ANOVA table analysis shows the “Pred R-Squared” to be reasonably in agreementwith“AdjR-Squared” which indicates the absence of any problem in data or the model developed. 2. ANOVA table also shows the Lack of Fit value to be insignificant which is desirable, as it indicates the model fits the data well. 3. The adequacy of model was analyzed with the help of normal probability plots of residuals and plots of Residuals versus the predicted response for the Surface Roughness. This plot revealed the developed model to be adequate and fits data well. Response Predicted Experimental Error % Surface Roughness 0.147096 0.150512 2.32%
  • 5. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395 -0056 Volume: 04 Issue: 02 | Feb -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 617 4. By using response optimization, the optimal parametric settings obtained were spindle speed of 1740.68 RPM, feed rate 0.82 mm/min. and depth of cut 1.27 mm for achieving therequiredminimum surface roughness and maximum MRR. REFERENCES [1] Chabbi Amel et al. “Predictive modeling and multi- response optimization of technological parameters in turning of Polyoxymethylene polymer (POM C) using RSM and desirability function” Measurement 95, 2017 pp-99–115. [2] John M. R. Stalin et al. “Optimization of roller burnishing process on EN‑9 grade alloy steel using response surface methodology” J Braz. Soc. Mech. Sci. Eng. 2016, pp- 1-13. [3] Raveendran P. et al “optimization of machining parameters for minimizing surfaceroughnessinturning operations of GFRP rod based on response surface methodology” Int J Adv Engg Tech/Vol. VII/Issue II/April-June,2016/pp- 1126-1129. [4] Bobbili Ravindranadh et al. “Modelling and analysis of material Removal rate and surface roughness in wire-cut EDM of armour materials” Engineering Science and Technology, an International Journal 2015 1-5. [5] Rajpoot Bheem Singh et al. “Investigating the effect of cutting parameters on average surface roughness and material removal rate during turning of metal matrix composite using Response surface methodology” International Journal on Recent and Innovation Trends in Computing and Communication, ISSN: 2321-8169, Vol. 3, Issue:1,2015,pp-241-247. [6] Ranganath M. S et al. “Experimental Analysis of surface roughness in CNC turning of aluminium using Response Surface Methodology” International Journal of Advance Research and Innovation, Volume 3, Issue 1, , 2015, pp- 45-49. [7] Thiyagu M. et al. “Experimental Studies in machining Duplex Stainless Steel using Response surface methodolgy” International Journal of Mechanical & Mechatronics Engineering IJMME-IJENS Vol:14 No:03, 2014, pp:48-61. [8] Phogat Amit et al. “Optimization of cutting parameters for turning operations based on response surface methodology” International Journal of Enhanced Research in Science Technology & Engineering, ISSN: 2319-7463 Vol. 2Issue7, 2013,pp-83-89. [9] Chinchanikar Satish et al. “Effect of work material hardness and cutting parameters on performance of coated carbide tool when turning hardened steel: An optimization approach” Measurement 46, 2013, pp 1572–1584. [10] Diniz Anselmo Eduardo et al. “Optimizing the use of dry cutting in rough turning steel operations” International Journal of Machine Tools & Manufacture 44, 2004, pp.1061–1067.