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8/8/2019 6 Sigma SD Shaft Dia. Variation
1/32
SD BASKET SHAFT
DIAMETER VARIATION &
MWO DIMPAL HEIGHT VAR.
6
8/8/2019 6 Sigma SD Shaft Dia. Variation
2/32
Commitment / Help Required
Six Sigma Theme Registration
App
rova
lVP MD
Deptt : Production
Theme
Period
Team Members
Theme
Description
Target
SD Basket Shaft Diameter Improvement
10/01/2000 - 20/03/2000
Sandeep Sethi, Sanjay Jain, AK Jindal
Project Schedule
Step
Event
Items
Time Schedule
Ist wk
1
2
3
4
M
A
I
C
Definition Of Yield
More Dia. Results In Tight Fitting Of SDBasket In Bellow Assembly,Displacing
The Spring OF Bellow,Causing Leakage
Through Spin Side. This Water Falls On
The Spin Motor , Leading To Burning Of
Motor.
From existing defect rate of
56,000 ppm to 3.4ppm.
Cost saving =Rs 75,000
RM Engg. ,the manufacturers of theS Shaft.
Shaft diameter
2nd wk 3rd wk 4th wk 5th wk 6th wk 7th wk 8th wk
Team Leader: Sanjay Arora
FacilitatorCustomer
HOD
Chetan
Khosla
8/8/2019 6 Sigma SD Shaft Dia. Variation
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Process Map 6
define measure analyse improve control
Parting
Turning
on lathe
Milling
Centre
Drill
Centre
less
Grinding
Knurling
Pressing
Insert
Rivet
Flaring ofRivet
Polishing
(oemery )
Final
Inspection
Sleeve
Insertion
Packing
Dispatch
to Brite
IQC at
brite
Moulding
Check for
runout
Dispatch to
LGEILaccepted
accepted
Scrap
rejected
IQC at
LGEIL
rejected
Segregation
Inspection
Emery
paper
Check
Sdbasket
assm.
a
cc
e
p
te
d
r
e
j
e
c
t
ed
8/8/2019 6 Sigma SD Shaft Dia. Variation
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8/8/2019 6 Sigma SD Shaft Dia. Variation
5/32
8/8/2019 6 Sigma SD Shaft Dia. Variation
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ANALYSEANALYSE/Fish Bone Diagram 6
define controlanalyse
improvemeasure
Innovation with 6 Achieve Super A! LGEIL
Material
MethodMan
Method
Dia.
var.in
shaft
Min. cut possible
Manual feed
Not accounted for
Manufacturing
system Inspectionmethod
Position of shaftNo. of cuts
Depth of cut
Dressing of grinder
wheel
Inconsistent view of the
scale
Inconsistency in selecting
the point of checking
Inability to concentrate
Use of
wrong
measuring
system
Gages Micrometers
8/8/2019 6 Sigma SD Shaft Dia. Variation
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1 2
1 3 . 9 7 5
1 3 . 9 7 6
1 3 . 9 7 7
1 3 . 9 7 8
1 3 . 9 7 9
1 3 . 9 8 0
1 3 . 9 8 1
f a c t o r
dia.
ofshaft
B oxplots of d ia. of by fac tor
( m e a n s a re i n d i c a t e d b y so l i d c i r cl e s )
One-way Analysis of Variance
Analysis of Variance for dia. of
Source DF SS MS F Pfactor 1 0.0000528 0.0000528 77.13 0.000
Error 18 0.0000123 0.0000007
Total 19 0.0000651
Individual 95% CIs For
Mean
Based on Pooled StDev
Level N Mean StDev --------+---------+----
1 10 13.9765 0.0006
2 10 13.9797 0.0010
Pooled StDev = 0.0008 13.9770 13.9785
13.9800
ANALYSE / No. of cuts6
As p value is less than 0.05 so no. of cuts is a factor for
dia.variation in S - Shaft
define measure analyse improve control
Innovation with 6s AchieveSuperA
Level 1: 5 cuts
Level 2 : 6 cuts
8/8/2019 6 Sigma SD Shaft Dia. Variation
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ANALYSE / Measuring Sys.6
As p value is less than 0.05 so measuring system is a factor for
dia.variation in S - Shaft
define measure analyse improve control
Innovation with 6s AchieveSuperA
13.975
13.976
13.977
13.978
13.979
factor
dia.
Boxplots of dia. by factor
(means are indicated by sol id c i rc les)One-way Analysis of Variance
Analysis of Variance for dia.
Source DF SS MS F P
factor 1 0.0000153 0.0000153 28.05 0.000Error 18 0.0000098 0.0000005
Total 19 0.0000251
Individual 95% CIs For Mean
Based on Pooled StDev
Level N Mean StDev -+---------+---------+--
1 10 13.9777 0.0008 (---*--)
2 10 13.9759 0.0006 (--*--)
Pooled StDev = 0.0007 13.9755 13.9770 13.978513.9800
Level 1: mech.
Level 2: Digi.
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8/8/2019 6 Sigma SD Shaft Dia. Variation
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No of cuts Measuring sy
5 6 mech
digi
13.9762
13.9774
13.9786
13.9798
13.9810
data
Main Effects Plot (data means) for data
No of cuts Mea.sys. data
6 mech 13.982
6 mech 13.983
6 mech 13.979
5 mech 13.977
5 digi 13.976
5 digi 13.975
6 digi 13.982
5 digi 13.975
5 mech 13.977
6 mech 13.982
6 digi 13.981
5 mech 13.977
6 digi 13.98
6 mech 13.979
5 mech 13.978
5 digi 13.975
6 digi 13.9795
6 digi 13.98
5 digi 13.976
5 mech 13.978
The graph suggests that no. of cuts is a
major factor & the measuring system
is a minor factor.
6define controlanalyseimprove
measure
IMPROVE /DOE
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OPTIMUM CONDITIONS OF THE FACTORSOPTIMUM CONDITIONS OF THE FACTORS
OBTAINED AFTER DOEOBTAINED AFTER DOE
FACTORS OPTIMUM
CONDITIONS
1.NO. OF CUTS
2.MEASURING SYSTEM
3.DRESSING ( CUTTING WHEEL )
4.DRESSING ( CONTROL WHEEL )
SIX
DIGITAL MICROMETER
EVERY ONE HOUR
EVERY TWO DAYS
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Innovations Practical Result
Improved the Process CapabilityTo more than Six Sigma level.
all Operators about the seriousness ofEducated Vendor Top Management &
quality of this dimension and also how
to maintain it.
Provided the right equipment &educated the vendor supervisor &operators about how to use theequipment.
Involved the Vendor supervisors indeveloping the control mechanism &plan as well as its execution.
Four Vendor persons and one LGperson involved in 100 % inspectionremoved.
Avery tight tolerance of 11microns(10
-6m) earlier thought unachievable
was met. A Chronic problem of Washing
machine line : SD Shaft loose or tightwas solved.
Leakage problem on the line due toscratches generated because of excessivehandling was also eliminated.
Total RTN reduced from 56000 toZero .
Three stages of emery paper rubbing ,rejection from Brite IQC and
Segregation at our end were eliminated.
Innovation with 6 Achieve Super A! LGEIL
ANALYSEANALYSE/Fish Bone Diagram 6
define controlanalyse
improvemeasure
8/8/2019 6 Sigma SD Shaft Dia. Variation
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1 3 .9 7 5 1 3 .9 7 7 1 3 .9 7 9 1 3 .9 8 1 1 3 .9 8 3 1 3 .9 8 5 1 3 .9 8 7
L S L U S L
P r o c e s s C a p a b i l i t y A n a ly s i s f o r d i a m
U S L
T a r g e t
L S L
M e a n
S a m p l e NS t D e v ( S T )
S t D e v ( L T )
C p
C P U
C P L
C p k
C p m
P p
P P U
P P L
P p k
P P M < L S L
P P M > U S L
P P M T o ta l
P P M < L S L
P P M > U S L
P P M T o ta l
P P M < L S L
P P M > U S L
P P M T o ta l
1 3 . 9 8 6 0
*
1 3 . 9 7 5 0
1 3 . 9 8 0 0
3 00 . 0 0 0 7 5 7 9
0 . 0 0 1 0 1 1 7
2 . 4 2
2 . 6 2
2 . 2 2
2 . 2 2
*
1 . 8 1
1 . 9 6
1 . 6 6
1 . 6 6
0 . 0 0
0 . 0 0
0 . 0 0
0 . 0 0
0 . 0 0
0 . 0 0
0 . 3 0
0 . 0 0
0 . 3 0
P r o c e s s D a t a
P o t e n t i a l ( S T ) C a p a b i l i ty
O v e r a l l ( L T ) C a p a b i l i ty O b s e r v e d P e r f o r m a n c e E x p e c t e d S T P e r fo r m a n c eE x p e c t e d LT P e r f o r m
S T
L T
1 3 .9 7 0 1 3 .9 7 4 1 3 .9 7 8 1 3 .9 8 2 1 3 .9 8 6
L S L U S L
P r o c e s s C a p a b i l i t y A n a ly s i s f o r d i a m
C a l c u l a ti o n s B a s e d o n W e i b u l l D i s t r i b u t i o n
U S L
T a r g e t
L S L
M e a n
S a m p le N
S h a p e
S c a l e
P p
P P U
P P L
P p k
P P M < L S L
P P M > U S L
P P M T o t a l
P P M < L S L
P P M > U S L
P P M T o t a l
1 3 . 9 8 6 0
*
1 3 . 9 7 5 0
1 3 . 9 7 6 0
3 0
1 7 6 9 2 . 1
1 4 . 0
1 . 6 4
2 . 4 0
0 . 3 6
0 . 3 6
0 . 0 0
0 . 0 0
0 . 0 0
1 3 9 1 9 0 . 5 5
0 . 0 0
1 3 9 1 9 0 . 5 5
P r o c e s s D a t a
O v e r a l l ( L T ) C a p a b i l i ty
O b s e r v e d L T P e r f o r m a n c e
E x p e c t e d L T P e r f o r m a n c e
BEFORE6Cp = 1.5Cpk=0.36
Cp = 2.42Cpk=2.12
ImproveImprove/Process Capability definemeasure analyse improve control
AFTER6
6
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1Subgroup 2 3 4 5 6
13.9785
13.9795
13.9805
13.9815
SampleMean
X=13.98
3.0SL=13.98
-3.0SL=13.98
0.000
0.001
0.0020.003
0.004
0.005
SampleR
ange
R=0.002353
3.0SL=0.00497
-3.0SL=0.00E+
Xbar/R Chart for diameter
ControlControl /Xbar R Chart 6
8/8/2019 6 Sigma SD Shaft Dia. Variation
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Date 1 2 3 4 5 6 7 8 9 1012 13 14 15
X1
X2
X3
X4
X5
13.9860
13.9815
Remarks
Total X
Average x
Range R
X Chart
0.00
5
0.00
4
0.00
3
0.002
0.00
R Chart
In ChargeSupervisorX-R Control Chart(S Shaft Diameter)
CTQ No.
IQC -02
Part Name
Measuring Unit
Measuring Method
S SHAFT( SD Basket)
mm
Digital Micrometer
Spec.
Spec.Limit
UpperLower
Periodical Check
14.000-0.014-0.025
13.98613.975
Model
Application
Time period
All Washing Machines
W/M Assembly Line
01/03/2000~15/03/2000
CheckedBy
Cpk
MeasuredValue
Every 2hours
13.9785
13.9750
13.980
8/8/2019 6 Sigma SD Shaft Dia. Variation
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CTP (Check Sheet)CTQ
S Shaft (SD Basket ) 8003
LINE
IQC
CTP No.
IQC-02-01
CTP Item
No. of cuts
How to checkSpec. Frequency
Every 2 Hours
Remarks
Date
Month ( )
2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 2
9:00
Measuring SystemIQC-02-02
IQC-02-03
6Digital
Grinding Wheel Every HourDressing
Every 2 Hours
IQC-02-04 Control Wheel Dressing Update W.I After 2 days
11:00
2:00
5:00
11:00
2:00
5:00
9:00
10.00
9:00
CTP Name
No. of Cuts
MeasuringSystem
Cuting Wheel
Update W.I
Update W.I
UpdateW.I
11.0012.003:004:005:00
ControlWheel
2 days
Signature of
8/8/2019 6 Sigma SD Shaft Dia. Variation
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0
10000
20000
30000
40000
50000
60000
Jan Feb Mar Apr May
REJECTION
6 SIGMALEVEL
ZeroRejectionR
eje
ctIon
56k
22k
0.1k
8/8/2019 6 Sigma SD Shaft Dia. Variation
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0
10000
20000
30000
40000
50000
60000
Jan Feb Mar Apr May
REJECTION
6 SIGMALEVEL
38 k
62 k 63 k 63 k
ZeroRejection
ANNUAL SAVING = 6.27
LACS
Reje
ctIon
8/8/2019 6 Sigma SD Shaft Dia. Variation
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CTQ Registration Format. 6
CTQ Description(what is the CTQ)
CTQ REGISTRATIONCTQ REGISTRATION( SD Shaft Dia Variation)( SD Shaft Dia Variation)
Zst
Zlt
Target Present
Registration No.
Date
Graphical Description (show sketch or photo)
Measuring System(How to measure)
Sig
n
PjtLdr. Super A CTQ
InchargeR&D QP
Gage R&R Specifications Control Limits
%Study
Variation% Tolerance LSL USL LCL UCL
CTP List Document Check List
S.No. Name Area ofApplication
CTP Spec. S.No. Document
!Doc. Reference
Number
Shaft Diameter Digital Micrometer ( LC-0.001 mm)
29.63% 10.47% 13.9750mm
13.9860mm
13.9785mm
13.9815mm
7.26
6.36
1
2
3
4
Number if cuts
Measuring sys
Grinding Wheel
Control Wheel
Vendor end
Vendor end
Vendor end
Vendor end
6
Digital
Dressing everyhour
Dressing every2 days
6.0
4.5
SDShaft
Approvald
8/8/2019 6 Sigma SD Shaft Dia. Variation
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Theme Registration66Approval
Pjt. Leader
Guide
Dept. Head
V.P.
M.D.
Period
18 NOV.99
to
17 FEB .00
Name Sign
MEMBERS
Theme :Theme :
Detailed Description :Detailed Description :
Q.Fn.(Y) Specification Gauge Name Gauge L.C. Current ( Y ) Target ( Y )
Process Map With Yield of each processProcess Map With Yield of each process Logic Tree of Worst ProcessLogic Tree of Worst Process
Request To M.D.Request To M.D.Estimated Contribution after Project
Qualitative Quantitative (Rs. Lacs)
Sanjay Arora
C. Khosla
A.K.Jindal
H.G.Choi
N.C.Upreti
V.Madaan
NO. OF
SET UP REJ. NIL NILNIL 80,000 PPM 3.4 PPM
OPTIMISING SET UP COND FOR PROJ. WELDING
FOR MS-283/304 MWO CAVITY.
* HIGH REJECTION DUE TO UN OPTIMISED SET UP CONDITIONS.
* THE LOSS IS APPROX RS.400 PER CAVITY.
* IT IS A CTQ AS IF THE Pcs GO UNDETECTED THESE CAN LEAD
TO FAILURE OF THE M/C & HAMPER MARKET POSITION.
Inspection
of sheetsU-Bending
Back Short
Welding
Fr. Short
Welding
TT Bkt
Welding
Balance
Checking
Wv Gd/Mgt
Welding
Lo-Up
Welding
Back Long
WeldingFr. Long
Welding
Hng. Plt
Welding
Shift To
MW Line
Set Up Rej.
of MS-283/304
Welding
Pressure
Welding
Current
Dimple
Height
Contact
Time
Sheet
Chemistry
Rs. 400,000* Improvement inRejection
Measure
8/8/2019 6 Sigma SD Shaft Dia. Variation
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6DefineMeasure
Analyse Improve ControlMeasure / Gage R&R
LG ElectronicsInnovation with Achieve Super A! 6
StdDev Study Var %Study Var %Tolerance
Source (SD) (5.15*SD) (%SV) (SV/Toler)
Total Gage R&R 1.36E-03 0.006997 6.44 5.60
Repeatability 1.34E-03 0.006878 6.33 5.50
Reproducibility 2.49E-04 0.001283 1.18 1.03Operator 2.49E-04 0.001283 1.18 1.03
Part-To-Part 2.11E-02 0.108451 99.79 86.76
Total Variation 2.11E-02 0.108677 100.00 86.94
Number of Distinct Categories = 22
Gage Used For Measurement of Dimple Height : Puppy Dial
Least Count= 0.001 mm
As Gage R&R % Study Variation & % Tolerance is less than 20% hence we can use this gage for dimple height
variation study
Sample Jindal Jindal2 V .M adaan V.Madaan2
1 1.295 1.293 1.295 1.292
2 1.299 1.299 1.299 1.299
3 1.289 1.29 1.284 1.287
4 1.322 1.322 1.322 1.322
5 1.305 1.3 1.302 1.305
6 1.279 1.279 1.279 1.279
7 1.298 1.3 1.298 1.298
8 1.302 1.302 1.302 1.302
9 1.348 1.348 1.348 1.348
10 1.333 1.33 1.33 1.331
Measure
8/8/2019 6 Sigma SD Shaft Dia. Variation
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6DefineMeasure
Analyse Improve ControlMeasure / Gage R&R
LG ElectronicsInnovation with Achieve Super A! 6
1 .1 5 1 .2 0 1 .2 5 1 .3 0 1 .3 5 1 .4 0
L S L U S L
D i m p l e H t.P r o c e s s C a p a b i li ty A n a l ys i s f o r
U S L
T a rg e t
L S L
M e a n
S a m p l e N
S t D e v ( W i t h i n)
S tD e v (O v e ra l l )
C p
C P U
C P L
C p k
C p m
P p
P P U
P P L
P p k
P P M < L S L
P P M > U S L
P P M T o ta l
P P M < L S L
P P M > U S L
P P M T o ta l
P P M < L S L
P P M > U S L
P P M T o ta l
1 . 3 7 5 0 0
*
1 . 2 2 5 0 0
1 . 2 9 0 4 4
1 25
0 . 0 2 5 8 1 6 4
0 . 0 4 2 1 1 3 7
0 .9 7
1 .0 9
0 .8 4
0 .8 4
*
0 .5 9
0 .6 7
0 .5 2
0 .5 2
4 0 0 0 0 . 0 0
4 0 0 0 0 . 0 0
8 0 0 0 0 . 0 0
5 6 2 4 . 1 2
5 2 7 . 6 1
6 1 5 1 . 7 3
6 0 1 0 0 . 5 6
2 2 3 2 9 . 1 6
8 2 4 2 9 . 7 2
P r o c e s s D a t a
P o te n t i a l (W i th i n ) C a p a b i l i t y
O v era ll C ap ab il ity O bs e rv e d P e rfo rm a nc e E x p . "W i th in " P e rf orm a nc e E x p . "Ov e ra ll " P e rfo rm a n
W i thin
Ov e ra l l
Four Block Diagram
A B
C D
Zst
Zshift
1.5
4.5
From measurement of dimple Ht. ; which we know is an important factor for quality of welding
we know that it is a primarily a problem of variation.
6Analyse
8/8/2019 6 Sigma SD Shaft Dia. Variation
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Set Up
Rejection
Machine
Method
Man
LG ElectronicsInnovation with Achieve Super A! 6
VOLTAGELEVELPRESSURE
ELECTRODES GAPELECTRODES
DRESSING
CAVITY TPR
DURING WELDING
PARAMETERS
NOT DEFINED PROPERLY
Material
DIMPLE HEIGHT
VARIATION
PROFILEOF
DIMPLE CONTACT
TIME
SHEET
CHEMISTRY
6Define MeasureAnalyse
Improve ControlAnalyse / 4-M Diagram
6Measure
8/8/2019 6 Sigma SD Shaft Dia. Variation
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Sheet
Sheet
DIMPLE WITH CONICAL PROFILE
DIMPLE WITH TOMB PROFILE
LG ElectronicsInnovation with Achieve Super A! 6
6DefineMeasure
Analyse Improve ControlAnalyse / Dimple Profile
Two proportion test to examine the effect of dimple profile on no. of weak joints during
projection welding.
Test and CI for Two Proportions
Sample X N Sample p
Tomb Type 3 42 0.071429
Conical 13 42 0.309524
Estimate for p(1) - p(2): -0.238095
95% upper bound for p(1) - p(2): -0.103783
Test for p(1) - p(2) = 0 (vs < 0): Z =
-2.92
P-Value = 0.002
We have established that the dimple profile is having an effect on welding quality.Tomb
profile is better.
6Analyse
A l / Di l P fil
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LG ElectronicsInnovation with Achieve Super A! 6
6Define MeasureAnalyse
Improve ControlAnalyse / Dimple Profile
1.381.361.341.321.301.281.261.241.22
U SLL S L
P r o c e s s C a p a b i l i ty A n a l y s i s fo r C 4 5
P P M T o ta l
P P M > U S L
P P M < L S L
P P M T o t al
P P M > U S L
P P M < L S L
P P M T ot a l
P P M > U S L
P P M < LS L
P pk
P P L
P P U
P p
C pm
C pk
C P L
C P U
C p
S tD e v (Ove ra l l)
S tD e v (W i th in )
S a m p l e N
Me a n
LS L
TargetU S L
8.68
0.42
8.25
0.00
0.00
0.00
0.00
0.00
0.00
1.44
1.44
1.64
1.54
*
2.45
2.45
2.81
2.63
0.0162463
0.0095059
12 5
1.29498
1.22500
*1.37500
E xp. "Overa l l " P erformancE xp . " Wi th i n " Pe r fo rma n ceOb se rve d P e r fo rma n ceOve ra l l C a p a b i li t y
P otentia l (W i th in) Capabi l i ty
P ro ce ss D a ta
W ith in
O v e r a l l
1 .1 5 1 .2 0 1 .2 5 1 .3 0 1 .3 5 1 .4 0
L S L U S L
D i m p l e H t.P r o c e s s C a p a b i li ty A n a l ys i s fo r
U S LT a rg e t
L S L
M e a n
S a m p l e N
S t D e v ( W i t h i n )
S tD e v (O v e ra l l )
C p
C P U
C P LC p k
C p m
P p
P P U
P P L
P p k
P P M < L S L
P P M > U S L
P P M T o t a l
P P M < L S L
P P M > U S L
P P M T o ta l
P P M < L S L
P P M > U S L
P P M T o ta l
1 . 3 7 5 0 0*
1 . 2 2 5 0 0
1 . 2 9 0 4 4
1 2 5
0 . 0 2 5 8 1 6 4
0 . 0 4 2 1 1 3 7
0 .9 7
1 .0 9
0 .8 40 .8 4
*
0 .5 9
0 .6 7
0 .5 2
0 .5 2
4 0 0 0 0 . 0 0
4 0 0 0 0 . 0 0
8 0 0 0 0 . 0 0
5 6 2 4 . 1 2
5 2 7 . 6 1
6 1 5 1 . 7 3
6 0 1 0 0 . 5 6
2 2 3 2 9 . 1 6
8 2 4 2 9 . 7 2
P r o c e s s D a t a
P o te n t i a l (W i th i n ) C a p a b i l i t y
O v era ll Ca pa b il it y O bs e rv e d P e rfo rm a nc e E x p . "W i th in " P e rf orm a nc e E x p . "O ve ra ll " P e rfo rm a n
W i thin
Ov e ra l l
The press die dimple profiles were changed as per previous test inference. Also the punches
which were varying in height were made same.With this direct improvement the process
capability of dimple height improved from 0.97 to 2.63.
6
I / SS C it
8/8/2019 6 Sigma SD Shaft Dia. Variation
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PG PSP voltage O.K N.G. Response(%o.k)
3.000 1.000 270 2 10 0.167
4.500 1.000 270 1 11 0.083
3.000 1.500 270 4 9 0.308
4.500 1.500 270 0 13 0.000
3.000 1.000 320 11 1 0.917
4.500 1.000 320 2 10 0.167
3.000 1.500 320 11 2 0.846
4.500 1.500 320 6 7 0.462
3.750 1.250 295 4 8 0.333
3.750 1.250 295 8 5 0.615
3.750 1.250 295 3 9 0.250
3.750 1.250 295 7 6 0.538
2.525 1.250 295 11 1 0.917
4.975 1.250 295 5 8 0.385
3.750 0.842 295 4 8 0.333
3.750 1.658 295 5 8 0.385
3.750 1.250 254 2 10 0.167
3.750 1.250 336 8 5 0.615
Response Surface Regression: r versus PG, voltageThe analysis was done using coded units.
Estimated Regression Coefficients for r
Term Coef SE Coef T P
Constant 0.4285 0.04016 10.671 0.000
Block -0.0383 0.04016 -0.955 0.356
PG -0.1796 0.04399 -4.082 0.001
voltage 0.1925 0.04399 4.375 0.001
S = 0.1606 R-Sq = 72.4%R-Sq(adj) = 66.5%
Analysis of Variance for r
Source DF Seq SS Adj SS Adj MS F P
Blocks 1 0.02351 0.02351 0.02351 0.91 0.356
Regression 2 0.92387 0.92387 0.46194 17.90 0.000
Linear 2 0.92387 0.92387 0.46194 17.90 0.000
Residual Error 14 0.36127 0.36127 0.02581
Lack-of-Fit 6 0.21210 0.21210 0.03535 1.90 0.198
Pure Error 8 0.14918 0.14918 0.01865
Total 17 1.30866
LG ElectronicsInnovation with Achieve Super A! 6
6Define Measure Analyse Improve ControlImprove / SS CavityWe know from past setting experience that three parameters (PG - Pressure Gauge. PSP &
Voltage ) have a crucial impact on welding quality. We did RSM to establish the best machine
condition.
After Analysis of RSM model , we realise that PSP is not a vital few factor and hence is
removed from the regression equation.
I / SS C it (Wi f Pl t) 6Improve
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0.0
0.5r
34PG
3
1.0
270260
5
250
330320
310300
290
voltage280270260
340330
voltage
Surface Plot of r ( %age O.K.)
LG ElectronicsInnovation with Achieve Super A! 6
Improve / SS Cavity (Wireframe Plot)
Best Condition :
Voltage :310
PG :2.8
By the Wire Frame plot we establish the best condition for SS-cavity
6Define Measure AnalyseImprove
Control
I / G S C it 6
Improve
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voltpsppg
320
270
1 .51 .04 .53.0
0.24
0.18
0.12
0.06
0.00
resp
Main Effects Plot (data means) for resp
320
270
1.51
0.30
0.15
0.00
0.30
0.15
0.00
pg
psp
volt
1.5
1
4.5
3
Interaction Plot (data means) for resp
p g p s p v o l t o k r e j r e s p
3 .0 0 1 .0 0 2 7 0 . 0 03 . 0 0 9 . 0 0 0 . 2 5
4 .5 0 1 .0 0 2 7 0 . 0 00 .0 0 1 3 .0 0 0 .0 0
3 .0 0 1 .5 0 2 7 0 . 0 04 . 0 0 8 . 0 0 0 . 3 34 .5 0 1 .5 0 2 7 0 . 0 00 .0 0 1 3 .0 0 0 .0 0
3 .0 0 1 .0 0 3 2 0 . 0 00 .0 0 1 3 .0 0 0 .0 0
4 .5 0 1 .0 0 3 2 0 . 0 00 .0 0 1 2 .0 0 0 .0 0
3 .0 0 1 .5 0 3 2 0 . 0 05 . 0 0 8 . 0 0 0 . 3 84 .5 0 1 .5 0 3 2 0 . 0 00 .0 0 1 3 .0 0 0 .0 0
LG ElectronicsInnovation with Achieve Super A! 6
Improve / GpSp Cavity 6Define Measure AnalyseImprove
Control
We know from past setting experience that three parameters (PG - Pressure Gauge. PSP &
Voltage ) have a crucial impact on welding quality. We did 2 level factorial design to establish the
vital few.
We conclude that PG & PSP seem to have more effect than voltage in this case.There is
also mild interaction between all factors.
I / G S C it 6
Improve
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Response Surface Regression: resp versus pg, psp
The analysis was done using coded units.
Estimated Regression Coefficients for resp
Term Coef SE Coef T P
Constant 0.0309 0.03810 0.812 0.432
Block -0.0368 0.02865 -1.284 0.222
pg -0.1856 0.03113 -5.963 0.000
psp 0.0634 0.03113 2.035 0.063
pg*pg 0.1402 0.03262 4.298 0.001
S = 0.1137 R-Sq = 82.6% R-Sq(adj) = 77.2%
Analysis of Variance for resp
Source DF Seq SS Adj SS Adj MS F P
Blocks 1 0.043849 0.021291 0.021291 1.65 0.222
Regression 3 0.751804 0.751804 0.250601 19.39 0.000
Linear 2 0.513070 0.513070 0.256535 19.85 0.000Square 1 0.238735 0.238735 0.238735 18.47 0.001
Residual Error 13 0.168013 0.168013 0.012924
Lack-of-Fit 5 0.130239 0.130239 0.026048 5.52 0.017
Pure Error 8 0.037773 0.037773 0.004722
Total 17 0.963666
pg psp volts ok rej resp
3.00 1.00 270 3 9 0.250
4.50 1.00 270 0 13 0.000
3.00 1.50 270 4 8 0.333
4.50 1.50 270 0 13 0.000
3.00 1.00 320 0 13 0.000
4.50 1.00 320 0 12 0.0003.00 1.50 320 5 8 0.385
4.50 1.50 320 0 13 0.000
3.75 1.25 295 1 11 0.083
3.75 1.25 295 0 13 0.000
3.75 1.25 295 0 12 0.000
3.75 1.25 295 0 13 0.000
2.53 1.25 295 12 1 0.923
4.97 1.25 295 0 12 0.000
3.75 0.84 295 0 13 0.000
3.75 1.66 295 3 10 0.231
3.75 1.25 254 0 12 0.000
3.75 1.25 336 0 13 0.000
LG ElectronicsInnovation with Achieve Super A! 6
Improve / GpSp Cavity 6Define Measure AnalyseImprove
Control
We have done RSM to optimise the welding machine settings for GpSp cavity.We have used the
Central composite design.
We conclude that the main effect is of PG(Pressure gauge) & PSP has some effect.But
voltage which was very important in SS case is not important in GpSp.
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0.0
0.5
resp
34
pg3
1.0
1.00.9
5
0.8
1.51.41.31.2 psp1.1
1.00.9
1.71.6
1.5
psp
LG ElectronicsInnovation with Achieve Super A! 6
Improve / GpSp Cavity 6Define Measure AnalyseImprove
Control
Best Condition :
PSP :1.3
PG :2.8
Through Wire frame plot we establish the best condition for GpSp Cavity.
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Rejection Trend 6
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Rejection Trend 6Define Measure Analyse Improve Control
0
20000
40000
60000
80000
November
January
M
arch
May
July
PPM
PPM
6 Project