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Optimization of Wire Electric
Discharge Machining Parameters Of
Al 6061
Group No. 2
Team Guide Team Members
Asst. Prof. Bibin K Tharian Basil Raju (14010030)
Mechanical Dept. Basil Skaria(14010032)
MBITS Eldhose Kuriakose (14010050)
Geo Mathew(14010055)
OUTLINE OF THE PRESENTATION
• Introduction
• Working Principle
• Literature Survey
• Findings from literature survey
• Objectives of present research
• Methodology
1
INTRODUCTION
• Importance of machining
• Types of machining
• Conventional & non conventional machining
• Comparison
• WEDM
• Importance of WEDM
• Applications
2
WORKING PRINCIPLE
Fig 1 : Schematic representation of WEDM.3
Fig 2: Electronica Ultra cut S1 WEDM
4
WORKING PRINCIPLE
• Spark erosion technique
• Dielectric breakdown
• Plasma channel formation
• Generation of pressure shock waves
• Material removal
5
LITERATURE REVIEW ON WIRE EDM
SI NO AUTHOR YEAR CONTRIBUTION
1 Pragya shandilya ,
P K Jain,
N K Jain
2012 • Analysis & optimization
• Resources: pulse on time, pulse off time,
Wire feed rate , Servo voltage
2 C D Shah, J R Mevada ,
B C Khatri
2013 • Optimization of process parameters of
WEDM by response surface methodolgy
6
LITERATURE REVIEW ON WIRE EDM
SI
NO.
Author Year Contribution
3 Kasinath Das Mohaptra,
S K Sahio
2014 • Parametric optimization of WEDM
process for gear cutting
• Response: MRR, Single pitch error
4 Harsimran Singh,
Harmesh kumar
2015 • Review of process parameters of WEDM
by response surface methodology
7
LITERATURE REVIEW ON AI6061
SI NO Author Year Contribution
1 Sharag Nair , Nehal
joshi
2015 • Preparation of AI 6061 matal matrix
composite
2 A.Muniappan,
C.Thiagarajan
S Somasundaram
2017 • Parametric optimisation of kerf width &
Ra in WEDM of AI6061 composite
8
LITERATURE REVIEW ON OPTIMIZATION TECHNIQUE
SI NO Author Year Contribution
1 K B Rai & P .R Dewan 2014 • Parametric optimization of WEDM using
GRA with Taguchi method
2 Siva prasad,
Arikatla.K,
Tamil mannan,
Arkanti krishniah
2016 • Factors : pulse on time, Pulse off time,
Servo voltage, Wire tension
• Response : MRR, Ra
9
FINDINGS FROM LITERATURE SURVEY
• WEDM is mainly employed for difficult to machine materials.
• Only few work has been done in the parameter optimization of
Al6061 aluminium alloy.
10
OBJECTIVES OF PRESENT RESEARCH
• To find optimal machining performance for surface roughness and
material removal rate.
• To evaluate the quality of surface roughness produced.
• To generate a mathematical model for surface roughness & MRR.
• Find the significance of parameters using ANOVA
• Parameter optimization using GRA.
11
METHODOLOGY
12
MATERIAL SELECTION
• Material : Aluminium 6061
• Good mechanical properties and good weldability.
• Application: aircraft & aerospace components,marine fittings, bicycle
frames , drive shafts , brake components, valves, couplings
Table 1: Chemical composition of Al6061.
components Al Mg Si Fe Cu Zn Cr Ti Others
Wt%
98.5-
98.56
.8-
1.2
.4-.8 0.7 .15-.4 0.25
0.04-
.35
0.15
0.05-
.15
13
SELECTION OF INPUT AND OUTPUT PARAMETERS
WEDM PROCESS
Machining parameter
Pulse ON time
Pulse OFF time
Feed rate
Current
Performance Measure
Surface Roughness
Material Removal Rate
14
TAGUCHI METHOD
• Developed by Dr. Genichi Taguchi
• The objective is to make the “IMPROVEMENT OF QUALITY”.
• Taguchi recommends orthogonal array (OA)
• The standard two level and three level arrays are:
•Two level arrays: L4, L8, L12, L16, L32
•Three level arrays: L9, L18, L27
• L9 OA is chosen with 4 parameters
15
FACTORS AND LEVELS
Table 2: Factors and levels
SL
NO.
FACTOR UNIT SYMBOLS LEVEL 1 LEVEL 2 LEVEL 3
1
PULSE ON TIME
(T ON)
Micro
Seconds
A 100 110 120
2
PULSE OFF TIME
(T OFF)
Micro
Seconds
B 51 55 59
3 FEED RATE (F) mm/min D 3 6 9
4 CURRENT (I) Ampere C 10 11 12
16
DESIGN OF EXPERIMENT
Table 3: DOE
Sl.
No.
Pulse on Pulse off Current Wire feed rate
1 100 51 10 3
2 100 55 11 6
3 100 59 12 9
4 110 51 11 9
5 110 55 12 3
6 110 59 10 6
7 120 51 12 6
8 120 55 10 9
9 120 59 11 3
17
EXPERIMENTAL DATA
Table 4: Experimental data
Sl.
No.
Pulse on Pulse off Current
Wire feed
rate
Time for
cutting
Surface
roughnes
s
MRR
1 100 51 10 3 37.27 1.46 0.00295
2 100 55 11 6 9 2.48 0.013
3 100 59 12 9 9.04 2.46 0.0132
4 110 51 11 9 2.42 3.16 0.0537
5 110 55 12 3 2.23 3.68 0.0538
6 110 59 10 6 31.43 1.78 0.00381
7 120 51 12 6 4.13 4.2 0.0363
8 120 55 10 9 39.12 1.9 0.00281
9 120 59 11 3 3.53 3.72 0.0368
18
TAGUCHI ANALYSIS
19
ANALYSIS FOR SURFACE ROUGHNESS
Fig 3: Mean graph for Ra.
20
ANALYSIS FOR SURFACE ROUGHNESS
Fig4: SN ratio graph for Ra
Optimum parameter combination : A 1B3C1D3
21
From the main effects plot for S/N ratio, the optimum parameter
combination for surface roughness is,
Pulse ON time= 100µs
Pulse OFF time= 59µs
Feed rate= 9mm/min
Current= 10A
22
ANOVA RESULTS IN PIE CHART FOR Ra
26.66%
1.95%
27.32%
4.17%
PERCENTAGE CONTRIBUTION
PULSE ON
PULSE OFF
CURRENT
FEED RATE
23
REGRESSION EQUATION FOR Ra
Using Minitab 15.0 software, regression equation has been generated
for surface roughness
Ra= - 10.6 + 0.0570 A - 0.0358 B+ 0.868 C- 0.0748 D
Where,
A= Pulse ON time
B= Pulse OFF time
D= Feed rate
C= Current
24
ANALYSIS FOR MATERIAL REMOVAL RATE
Fig 5: Mean graph for MRR.
25
ANALYSIS FOR MATERIAL REMOVAL RATE
Fig 6:S/N ratio graph for MRR.
Optimum parameter combination :A2B1C3D126
From the main effects plot for S/N ratio, the optimum parameter
combination for Material Removal Rate is,
Pulse ON time= 110µs
Pulse OFF time= 51µs
Feed rate= 3mm/min
Current= 12 A
27
ANOVA RESULTS IN PIE CHART FOR MRR
31.24%
7.13%
56%
7.60%
PERCENTAGE CONTRIBUTION
PULSE ON
PULSE OFF
CURRENT
FEED RATE
28
REGRESSION EQUATION FOR MRR
Using Minitab 15.0 software, regression equation has been generated for
Material Removal Rate
MRR = - 0.136 + 0.000779 A - 0.00163 B + 0.0156 C - 0.00132 D
Where,
A= Pulse ON time
B= Pulse OFF time
D= Feed rate
C= Current
29
GREY RELATIONAL ANALYSIS
30
GREY RELATIONAL GRADE AND COEFFICIENT
Table 5: Grey relational coefficient and grade
EXP
NO.
GREY RELATIONAL
COEFFICIENT
GREY RELATIONAL
GRADE
RANK
MRR Ra
1 0.33399 1 0.666972 3
2 0.384569 0.57322 0.478895 8
3 0.385733 0.578059 0.481896 7
4 0.996093 0.446254 0.721174 1
5 1 0.381616 0.690808 2
6 0.337744 0.810651 0.5742 4
7 0.592976 0.333333 0.463155 9
8 0.333333 0.756906 0.54512 5
9 0.599953 0.37741 0.488682 6
31
ANALYSIS FOR GRA
Fig7 :Mean graph for gra
32
ANALYSIS FOR GRA
Fig8:S/N ratio graph for GRA
• Optimum parameter combination :A2B1C1D133
ANOVA RESULTS IN PIE CHART FOR GRA
52.40%
19.28%
4.76% 23.50%
PERCENTAGE CONTRIBUTION
PULSE ON
PULSE OFF
CURRENT
FEED RATE
34
REGRESSION EQUATION FOR GRA
Using Minitab 15.0 software, regression equation has been generated for
GRA
GRA = 1.82 - 0.00218 A - 0.0128 B - 0.0251 C - 0.0055 D
= 0.6727
Where,
A= Pulse ON time=110µs
B= Pulse OFF time=51µs
C= Current=10A
D= Feed rate=3mm/min
35
SINGLE V/S MULTI OPTIMISATION
Table 6: Single v/s Multi Optimisation
Parameter
Optimized
Combination
Ra(µm)
MRR(
mm3/min)
Ra A1B3C1D3 0.9946 -0.01015
MRR A2B1C3D1 4.0358 0.0498
Ra and MRR A2B1C1D1 2.2998 0.0186
36
CONCLUSION
Based on the Taguchi optimization conducted
• Most significant parameter affecting Ra and MRR
separately are current.
• Least significant parameter affecting Ra and MRR
separately are pulse off time
• Most significant parameter affecting Ra and MRR
simultaneously pulse on time.
• Least significant parameter affecting Ra and MRR
simultaneously are current
37
REFERENCES
1. A.Muniappana, C.Thiagarajan B and S.Somasundram C
“Parametric Optimization of KERF Width and Surface
Roughness in Wire Electrical Discharge Machining
(WEDM) of Hybrid Aluminium (Al6061/SIC/GRAPHITE)
Composite using Taguchi-Based Gray Relational
Analysis” International Journal of Mechanical &
Mechatronics Engineering IJMME-IJENS Vol:17
No:01,pp.205-208 .
38
2. Adnan Akkurt “The effect of cutting process on surface
microstructure and hardness of pure and Al 6061
aluminium alloy” Engineering Science and Technology, an
International Journal (2014) 1e6,pp.2391-2398
3. Bibin, K.T, Kuriachen, B, Paul J, and Elson P.V, “Surface
Roughness Optimization of Wire Electrical Discharge
Machining on AISI 202 Using ABC Algorithm” Applied
Mechanics and Materials, Vols. 766-767, (2015), pp. 902-
907
39
THANK YOU
40
APPENDIX
Equations used for GRA,
Smaller the better,
Larger the better,
Deviation sequence,
Grey relational coefficient,
Grey relational grade,
41
SEQUENCES AFTER DATA PROCESSING
Table 7 : Sequences after data processing
EXPERIMENT NO. MRR Ra
REFERENCE
SEQUENCE
1.00000 1.0000
1 0.002746 1
2 0.199843 0.627737
3 0.203765 0.635036
4 0.998039 0.379562
5 1 0.189781
6 0.019612 0.883212
7 0.656795 0
8 0 0.83946
9 0.666601 0.175182
42
DEVIATION SEQUENCES
Table 8 : Deviation sequences
DEVIATION
SEQUENCE
∆(1) ∆(2)
EXP NO.1 0.997254 0
EXP NO.2 0.800157 0.372263
EXP NO.3 0.796235 0.364964
EXP NO.4 0.001961 0.620438
EXP NO.5 0 0.810219
EXP NO.6 0.980388 0.116788
EXP NO.7 0.343205 1
EXP NO.8 1 0.160589
EXP NO.9 0.333344 0.824818
43
ANOVA BASED ON S/N RATIO FOR Ra
Table 9 : ANOVA based on S/N ratio for Ra
Control factors DOF Sum of square Mean squares
Percentage
contribution
Pulse ON
time(A)
2 2.00720 1.0036 26.55%
Pulse OFF
time(B)
2 0.14747 0.07373 1.95%
Current (C) 2 5.08987 2.54493 67.32%
Feed Rate (D) 2 0.31547 0.15773 4.17%
Total 8 7.56
44
ANOVA BASED ON S/N RATIO FOR MRR
Table 10 : ANOVA based on s/n ratio for MRR
Control factors DOF Sum of square Mean squares
Percentage
contribution
Pulse ON
time(A)
2 0.0011322 .0005661 31.24%
Pulse OFF
time(B)
2 .0002585 00001292 7.13%
Current (C) 2 0.0019565 0.0009782 56%
Feed Rate (D) 2 0.0002755 0.0001377 7.6%
Total 8
45

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OPTIMIZATION OF WIRE EDM PARAMETERS ON Al 6061

  • 1. Optimization of Wire Electric Discharge Machining Parameters Of Al 6061 Group No. 2 Team Guide Team Members Asst. Prof. Bibin K Tharian Basil Raju (14010030) Mechanical Dept. Basil Skaria(14010032) MBITS Eldhose Kuriakose (14010050) Geo Mathew(14010055)
  • 2. OUTLINE OF THE PRESENTATION • Introduction • Working Principle • Literature Survey • Findings from literature survey • Objectives of present research • Methodology 1
  • 3. INTRODUCTION • Importance of machining • Types of machining • Conventional & non conventional machining • Comparison • WEDM • Importance of WEDM • Applications 2
  • 4. WORKING PRINCIPLE Fig 1 : Schematic representation of WEDM.3
  • 5. Fig 2: Electronica Ultra cut S1 WEDM 4
  • 6. WORKING PRINCIPLE • Spark erosion technique • Dielectric breakdown • Plasma channel formation • Generation of pressure shock waves • Material removal 5
  • 7. LITERATURE REVIEW ON WIRE EDM SI NO AUTHOR YEAR CONTRIBUTION 1 Pragya shandilya , P K Jain, N K Jain 2012 • Analysis & optimization • Resources: pulse on time, pulse off time, Wire feed rate , Servo voltage 2 C D Shah, J R Mevada , B C Khatri 2013 • Optimization of process parameters of WEDM by response surface methodolgy 6
  • 8. LITERATURE REVIEW ON WIRE EDM SI NO. Author Year Contribution 3 Kasinath Das Mohaptra, S K Sahio 2014 • Parametric optimization of WEDM process for gear cutting • Response: MRR, Single pitch error 4 Harsimran Singh, Harmesh kumar 2015 • Review of process parameters of WEDM by response surface methodology 7
  • 9. LITERATURE REVIEW ON AI6061 SI NO Author Year Contribution 1 Sharag Nair , Nehal joshi 2015 • Preparation of AI 6061 matal matrix composite 2 A.Muniappan, C.Thiagarajan S Somasundaram 2017 • Parametric optimisation of kerf width & Ra in WEDM of AI6061 composite 8
  • 10. LITERATURE REVIEW ON OPTIMIZATION TECHNIQUE SI NO Author Year Contribution 1 K B Rai & P .R Dewan 2014 • Parametric optimization of WEDM using GRA with Taguchi method 2 Siva prasad, Arikatla.K, Tamil mannan, Arkanti krishniah 2016 • Factors : pulse on time, Pulse off time, Servo voltage, Wire tension • Response : MRR, Ra 9
  • 11. FINDINGS FROM LITERATURE SURVEY • WEDM is mainly employed for difficult to machine materials. • Only few work has been done in the parameter optimization of Al6061 aluminium alloy. 10
  • 12. OBJECTIVES OF PRESENT RESEARCH • To find optimal machining performance for surface roughness and material removal rate. • To evaluate the quality of surface roughness produced. • To generate a mathematical model for surface roughness & MRR. • Find the significance of parameters using ANOVA • Parameter optimization using GRA. 11
  • 14. MATERIAL SELECTION • Material : Aluminium 6061 • Good mechanical properties and good weldability. • Application: aircraft & aerospace components,marine fittings, bicycle frames , drive shafts , brake components, valves, couplings Table 1: Chemical composition of Al6061. components Al Mg Si Fe Cu Zn Cr Ti Others Wt% 98.5- 98.56 .8- 1.2 .4-.8 0.7 .15-.4 0.25 0.04- .35 0.15 0.05- .15 13
  • 15. SELECTION OF INPUT AND OUTPUT PARAMETERS WEDM PROCESS Machining parameter Pulse ON time Pulse OFF time Feed rate Current Performance Measure Surface Roughness Material Removal Rate 14
  • 16. TAGUCHI METHOD • Developed by Dr. Genichi Taguchi • The objective is to make the “IMPROVEMENT OF QUALITY”. • Taguchi recommends orthogonal array (OA) • The standard two level and three level arrays are: •Two level arrays: L4, L8, L12, L16, L32 •Three level arrays: L9, L18, L27 • L9 OA is chosen with 4 parameters 15
  • 17. FACTORS AND LEVELS Table 2: Factors and levels SL NO. FACTOR UNIT SYMBOLS LEVEL 1 LEVEL 2 LEVEL 3 1 PULSE ON TIME (T ON) Micro Seconds A 100 110 120 2 PULSE OFF TIME (T OFF) Micro Seconds B 51 55 59 3 FEED RATE (F) mm/min D 3 6 9 4 CURRENT (I) Ampere C 10 11 12 16
  • 18. DESIGN OF EXPERIMENT Table 3: DOE Sl. No. Pulse on Pulse off Current Wire feed rate 1 100 51 10 3 2 100 55 11 6 3 100 59 12 9 4 110 51 11 9 5 110 55 12 3 6 110 59 10 6 7 120 51 12 6 8 120 55 10 9 9 120 59 11 3 17
  • 19. EXPERIMENTAL DATA Table 4: Experimental data Sl. No. Pulse on Pulse off Current Wire feed rate Time for cutting Surface roughnes s MRR 1 100 51 10 3 37.27 1.46 0.00295 2 100 55 11 6 9 2.48 0.013 3 100 59 12 9 9.04 2.46 0.0132 4 110 51 11 9 2.42 3.16 0.0537 5 110 55 12 3 2.23 3.68 0.0538 6 110 59 10 6 31.43 1.78 0.00381 7 120 51 12 6 4.13 4.2 0.0363 8 120 55 10 9 39.12 1.9 0.00281 9 120 59 11 3 3.53 3.72 0.0368 18
  • 21. ANALYSIS FOR SURFACE ROUGHNESS Fig 3: Mean graph for Ra. 20
  • 22. ANALYSIS FOR SURFACE ROUGHNESS Fig4: SN ratio graph for Ra Optimum parameter combination : A 1B3C1D3 21
  • 23. From the main effects plot for S/N ratio, the optimum parameter combination for surface roughness is, Pulse ON time= 100µs Pulse OFF time= 59µs Feed rate= 9mm/min Current= 10A 22
  • 24. ANOVA RESULTS IN PIE CHART FOR Ra 26.66% 1.95% 27.32% 4.17% PERCENTAGE CONTRIBUTION PULSE ON PULSE OFF CURRENT FEED RATE 23
  • 25. REGRESSION EQUATION FOR Ra Using Minitab 15.0 software, regression equation has been generated for surface roughness Ra= - 10.6 + 0.0570 A - 0.0358 B+ 0.868 C- 0.0748 D Where, A= Pulse ON time B= Pulse OFF time D= Feed rate C= Current 24
  • 26. ANALYSIS FOR MATERIAL REMOVAL RATE Fig 5: Mean graph for MRR. 25
  • 27. ANALYSIS FOR MATERIAL REMOVAL RATE Fig 6:S/N ratio graph for MRR. Optimum parameter combination :A2B1C3D126
  • 28. From the main effects plot for S/N ratio, the optimum parameter combination for Material Removal Rate is, Pulse ON time= 110µs Pulse OFF time= 51µs Feed rate= 3mm/min Current= 12 A 27
  • 29. ANOVA RESULTS IN PIE CHART FOR MRR 31.24% 7.13% 56% 7.60% PERCENTAGE CONTRIBUTION PULSE ON PULSE OFF CURRENT FEED RATE 28
  • 30. REGRESSION EQUATION FOR MRR Using Minitab 15.0 software, regression equation has been generated for Material Removal Rate MRR = - 0.136 + 0.000779 A - 0.00163 B + 0.0156 C - 0.00132 D Where, A= Pulse ON time B= Pulse OFF time D= Feed rate C= Current 29
  • 32. GREY RELATIONAL GRADE AND COEFFICIENT Table 5: Grey relational coefficient and grade EXP NO. GREY RELATIONAL COEFFICIENT GREY RELATIONAL GRADE RANK MRR Ra 1 0.33399 1 0.666972 3 2 0.384569 0.57322 0.478895 8 3 0.385733 0.578059 0.481896 7 4 0.996093 0.446254 0.721174 1 5 1 0.381616 0.690808 2 6 0.337744 0.810651 0.5742 4 7 0.592976 0.333333 0.463155 9 8 0.333333 0.756906 0.54512 5 9 0.599953 0.37741 0.488682 6 31
  • 33. ANALYSIS FOR GRA Fig7 :Mean graph for gra 32
  • 34. ANALYSIS FOR GRA Fig8:S/N ratio graph for GRA • Optimum parameter combination :A2B1C1D133
  • 35. ANOVA RESULTS IN PIE CHART FOR GRA 52.40% 19.28% 4.76% 23.50% PERCENTAGE CONTRIBUTION PULSE ON PULSE OFF CURRENT FEED RATE 34
  • 36. REGRESSION EQUATION FOR GRA Using Minitab 15.0 software, regression equation has been generated for GRA GRA = 1.82 - 0.00218 A - 0.0128 B - 0.0251 C - 0.0055 D = 0.6727 Where, A= Pulse ON time=110µs B= Pulse OFF time=51µs C= Current=10A D= Feed rate=3mm/min 35
  • 37. SINGLE V/S MULTI OPTIMISATION Table 6: Single v/s Multi Optimisation Parameter Optimized Combination Ra(µm) MRR( mm3/min) Ra A1B3C1D3 0.9946 -0.01015 MRR A2B1C3D1 4.0358 0.0498 Ra and MRR A2B1C1D1 2.2998 0.0186 36
  • 38. CONCLUSION Based on the Taguchi optimization conducted • Most significant parameter affecting Ra and MRR separately are current. • Least significant parameter affecting Ra and MRR separately are pulse off time • Most significant parameter affecting Ra and MRR simultaneously pulse on time. • Least significant parameter affecting Ra and MRR simultaneously are current 37
  • 39. REFERENCES 1. A.Muniappana, C.Thiagarajan B and S.Somasundram C “Parametric Optimization of KERF Width and Surface Roughness in Wire Electrical Discharge Machining (WEDM) of Hybrid Aluminium (Al6061/SIC/GRAPHITE) Composite using Taguchi-Based Gray Relational Analysis” International Journal of Mechanical & Mechatronics Engineering IJMME-IJENS Vol:17 No:01,pp.205-208 . 38
  • 40. 2. Adnan Akkurt “The effect of cutting process on surface microstructure and hardness of pure and Al 6061 aluminium alloy” Engineering Science and Technology, an International Journal (2014) 1e6,pp.2391-2398 3. Bibin, K.T, Kuriachen, B, Paul J, and Elson P.V, “Surface Roughness Optimization of Wire Electrical Discharge Machining on AISI 202 Using ABC Algorithm” Applied Mechanics and Materials, Vols. 766-767, (2015), pp. 902- 907 39
  • 42. APPENDIX Equations used for GRA, Smaller the better, Larger the better, Deviation sequence, Grey relational coefficient, Grey relational grade, 41
  • 43. SEQUENCES AFTER DATA PROCESSING Table 7 : Sequences after data processing EXPERIMENT NO. MRR Ra REFERENCE SEQUENCE 1.00000 1.0000 1 0.002746 1 2 0.199843 0.627737 3 0.203765 0.635036 4 0.998039 0.379562 5 1 0.189781 6 0.019612 0.883212 7 0.656795 0 8 0 0.83946 9 0.666601 0.175182 42
  • 44. DEVIATION SEQUENCES Table 8 : Deviation sequences DEVIATION SEQUENCE ∆(1) ∆(2) EXP NO.1 0.997254 0 EXP NO.2 0.800157 0.372263 EXP NO.3 0.796235 0.364964 EXP NO.4 0.001961 0.620438 EXP NO.5 0 0.810219 EXP NO.6 0.980388 0.116788 EXP NO.7 0.343205 1 EXP NO.8 1 0.160589 EXP NO.9 0.333344 0.824818 43
  • 45. ANOVA BASED ON S/N RATIO FOR Ra Table 9 : ANOVA based on S/N ratio for Ra Control factors DOF Sum of square Mean squares Percentage contribution Pulse ON time(A) 2 2.00720 1.0036 26.55% Pulse OFF time(B) 2 0.14747 0.07373 1.95% Current (C) 2 5.08987 2.54493 67.32% Feed Rate (D) 2 0.31547 0.15773 4.17% Total 8 7.56 44
  • 46. ANOVA BASED ON S/N RATIO FOR MRR Table 10 : ANOVA based on s/n ratio for MRR Control factors DOF Sum of square Mean squares Percentage contribution Pulse ON time(A) 2 0.0011322 .0005661 31.24% Pulse OFF time(B) 2 .0002585 00001292 7.13% Current (C) 2 0.0019565 0.0009782 56% Feed Rate (D) 2 0.0002755 0.0001377 7.6% Total 8 45