Datasheet Additel 875 Series Dry Well Calibrators.
Untuk demo request dan pemesanan produk, silakan menghubungi Siwali Jakarta : 021-45850618 / Siwali Surabaya : 031-8421278 atau mengirimkan email ke siwali@cbn.net.id.
Application of Design of Experiments (DOE) using Dr.Taguchi -Orthogonal Array...Karthikeyan Kannappan
The Taguchi method involves reducing the variation in a process through robust design of experiments. The experimental design proposed by Taguchi involves using orthogonal arrays to organize the parameters affecting the process and the levels at which they should be varies. Instead of having to test all possible combinations like the factorial design, the Taguchi method tests pairs of combinations. The Taguchi arrays can be derived or looked up. Small arrays can be drawn out manually; large arrays can be derived from deterministic algorithms. Generally, arrays can be found online. The arrays are selected by the number of parameters (variables) and the number of levels (states).
In this paper, the specific steps involved in the application of the Taguchi method will be described with example.
Flameproof Pressure Switches are designed as per IS2148 for Gas Gr. IIC Flameproof - CE Certification and approved by a leading European Lab – “BASEEFA” for ATEX & ICEEX certificates
Various Ranges : from 0 to 150 mm Wc upto 0 to 400 Bar
Differential (Dead Band) : Fixed (Within 10% of set value) Or, Adjustable
Sensing Element : Diaphragm (PTFE, Neoprene or, SS 316) or Piston
Enclosure : Flameproof to group IIC
six sigma DMAIC approach for reducing quality defects of camshaft binding pro...Niranjana B
Data collection for 11 months revealed that 26% of the defects are due to improper camshaft binding. The six sigma approach involves DMAIC approach with statistical tools involved in each stage. The main root are identified and improvements are implemented. The quality is improved by reducing the number of defects
Weld Improvement Example in Offshore Oil & GasImran Choudury
Weld improvement examples in offshore oil and gas platforms. Professional training courses in the energy industry, Methods to manage corrosion and crack growth. Where to perform grinding by a burr grinder?
1. V2008 R2 - 1
Sponsor Peter Zhou
Champion XXXXXX
Leader XXXXXX
Team
Member
XXXX
XXXX
XXXX
XXXX
Front Cover Inlet Deformation Issue Improvement
July, 2009
2. V2008 R2 - 2
Zhaoqing Power - Chrysler AM I CD
XXX Power
Accessories Co., Ltd.
Production of Aluminum
Casting Front Cover –
Timing Chain Case
Chrysler Mack Engine
Plant
Annual Volume:
200,000 units
3. V2008 R2 - 3
Big Y Drill Down
Reduce the Overall Process
Defect Rate (25%) for Chrysler Products
Casting
(70%)
Heat Treatment
(20%)
Others
(Deburring & Machining)
(10%)
Poor
Fluidity
15%
Inlet
Deforming
45%
2) Identify / quantify
the inputs
1) Start with business goal
3) Drill down again
Others
(10%)
Inlet
Deforming
(90%)
Porosity
30%
Others
10%
AM I CD
4. V2008 R2 - 4
CTQ & CTP Chart
CTQ CCR Customer
Issues
VOC
Reduced external
defect rate of Inlet
Deforming
No quality issue of
inlet deforming in
Chrysler plant.
The quality issue of
inlet deforming will
case production line
problem in Chrysler
Engine Plant.
Chrysler is not
satisfied with the
current quality issue
of inlet deforming.
Improvement should
be made to reduce
defect rate.
VOB Business
Issues
CBR CTP
The process internal
scrap rate is too high,
customer is not
happy with our
performance and the
profit is lossing.
Low output rate with
high scrap cost
Substantially reduce the
defect rate of inlet
deforming, ideally “0”
Reduce the defect
rate of inlet
deforming with cost
saved.
Remark
1. Voice of customer and voice of business to be prioritized to those which are related to project objective
2. Use VOB or VOC or both depending on the project objectives
AM I CD
5. V2008 R2 - 5
Process Flow
Insert sand core
Close mold and hold
pressure (parameter
set)
Take out parts &
appearance Check
Dimension Inspection
by sampling
Degating &
Deburring
Set parts ready in fixture
and Heat treating process
Shot blasting Dimension Inspection
by sampling
Shipping good parts
to machining
Inlet Deforming Related Process
AM I CD
6. V2008 R2 - 6
Quick Win Analysis
f
i
Process
No.
Quick Win Opportunity
Fast to
Implement
()
Easy to
Implement
()
Cheap to
Implemen
t ()
Within
the
Team’s
Control
()
Easily
Reversible
()
Impleme
nt
(Yes/No)
Adjust the casting parameters No No Yes Yes Yes No
Adjust the heat treatment
settings
No No Yes Yes Yes No
Add heating insert to help
heating around mold inlet
section
Yes Yes Yes Yes Yes Yes
Add injection pin around mold
inlet section for even distribution
of force
Yes Yes Yes Yes Yes Yes
Adjust the chemical composition
of Sr Yes Yes Yes Yes Yes Yes
Remark
QW Opportunity Sources from Process Analysis, Brainstorming, Process walk through…
AM I CD
7. V2008 R2 - 7
Quick Win Analysis
f
i
Add heating insert to help heating around mold inlet area.
Add injection pin around mold inlet area for even distribution of force.
Adjust the chemical content of Sr to the lower limit of Chrysler specification.
Heating Insert Injection Pin
Defect rate reduced from 12% to 10% by implementing the
above 3 Quick Wins.
AM I CD
8. V2008 R2 - 8
Inlet Position Output Indicator
Input / Process Indicator Correlation between Input & Output Priority
Insufficient Training 1 1
Insufficient Experience 1 1
Poor Accountability 1 1
Incorrect Tooling Design 1 1
Inlet Cooling too quick 9 9
Injection Pin Location 9 9
Insufficient Oil Pressure 1 1
High Content of Strontium 3 3
Material Impurity 1 1
Hardness not even 1 1
Setting of Melting Aluminum Temperature 9 9
Setting of Pressure 9 9
Part Placement Orientation during HT 9 9
No Standard W.I. 1 1
No Quick Inspection Gage 1 1
Noise 1 1
Insufficient Lighting 1 1
Floor Temperature Change 1 1
Environment
Operator
Machine
Material
Process
Fishbone Diagram
5 high affected inputs and 1 medium affected inputs to Inlet
Position have been identified by Cause & Effect Matrix.
AM I CD
9. V2008 R2 - 9
Data Collection Plan - 1
Key Indicator Operation Definition
Sl. No. Performance Indicator (Y) Operational definition
Y Inlet Deforming Inlet Position Misalignment Measured by CMM (+/- 1.25 mm)
AM I CD
Performance
measure (Y)
Operationa
l definition
Data source
and
location
Sampl
e
size
Who will
collect the
data
When will
data be
collected
How will
data be
collected
Other data that
should be
collected at the
same time
Inlet
Deforming
Inlet Position
Misalignment
Measured by
CMM (+/- 1.25
mm)
CMM Tester 60 QA/ Zhu Jie 10 pcs
each lot
CMM
10. V2008 R2 - 10
Data Collection Plan - 2
Remarks:
Other data refers to additional information from stratification perspective.
We will collect the Inlet Position Data under current process setting of identified key
inputs (Melting aluminum temperature, Filling pressure phase I, Filling pressure phase
II, Filling pressure phase III).
The current settings are:
Melting aluminum temperature (T): 695 °C
Filling pressure phase I (P1): 0.14 MPa
Filling pressure phase II (P2): 0.20 MPa
Filling pressure phase III (P3): 0.29 MPa P1 P3
充
型
充
满
升
液
箱
充
满
升
液
管
保压
加压曲线及说明
时间P2
AM I CD
11. V2008 R2 - 11
MSA Plan
尺寸
连续型
特性
Y1:Inlet Deforming
測試人員
3 persons
測試設備
CMM 三坐标
進行方法 編號1~10給3位進行 判定,循環3次
判定方法 共取得90個資料, 依Gage R&R計算之數值判定
Sampling
Mesurement
Methods
GR&R Plan
AM I CD
13. V2008 R2 - 13
MSA ResultsPercent
Part-to-PartReprodRepeatGage R&R
100
50
0
% Contribution
%?Study?Var
SampleRange
0.04
0.02
0.00
_
R=0.01267
UCL=0.03261
LCL=0
A B C
SampleMean
0.5
0.0
-0.5
__
X=-0.178UCL=-0.165LCL=-0.191
A B C
Part
10987654321
0.5
0.0
-0.5
Operator
CBA
0.5
0.0
-0.5
Part
Average
10987654321
0.5
0.0
-0.5
Operator
A
B
C
Gage name:
Date of study:
Reported by:
Tolerance:
Misc:
Components of Variation
R Chart by Operator
Xbar Chart by Operator
Y by Part
Y by Operator
Operator * Part Interaction
Gage R&R (ANOVA) for Y
1
1
2
3
4
2
3
4
Biggest variance is from Part-to-Part.
Repeatability is acceptable.
Reproducibility is acceptable.
No Interaction between operator and
part.
AM I CD
14. V2008 R2 - 14
MSA Results
Total Gauge R&R% =
5.16% < 10%
GR&R% is Acceptable.
AM I CD
15. V2008 R2 - 15
Capability Analysis
Y Y Y Y Y Y
1 -1.16 11 -1.23 21 -1.13 31 -1.24 41 -1.14 51 -1.05
2 -1.22 12 -0.89 22 -1.15 32 -1.17 42 -1.45 52 -0.94
3 -1.19 13 -1.38 23 -1.48 33 -0.95 43 -1.14 53 -1.10
4 -0.82 14 -0.99 24 -1.24 34 -1.17 44 -1.25 54 -1.06
5 -1.16 15 -1.23 25 -1.04 35 -1.19 45 -1.19 55 -0.99
6 -1.20 16 -1.45 26 -1.23 36 -1.07 46 -0.89 56 -1.24
7 -1.25 17 -1.18 27 -1.02 37 -1.23 47 -1.23 57 -1.11
8 -1.18 18 -1.31 28 -1.14 38 -0.97 48 -1.09 58 -1.00
9 -1.35 19 -1.18 29 -1.19 39 -1.00 49 -1.09 59 -0.98
10 -1.25 20 -0.84 30 -1.16 40 -0.92 50 -1.11 60 -0.95
Using the CMM tester to collect the Inlet Position data.
The settings are:
Melting aluminum temperature (T): 695 °C
Filling pressure phase I (P1): 0.14 MPa
Filling pressure phase II (P2): 0.20 MPa
Filling pressure phase III (P3): 0.29 MPa
AM I CD
16. V2008 R2 - 16
IndividualValue
60544842363024181261
-0.8
-1.2
-1.6
_
X=-1.1358
UCL=-0.7062
LCL=-1.5654
MovingRange
60544842363024181261
0.4
0.2
0.0
__
MR=0.1615
UCL=0.5277
LCL=0
Observation
Values
6055504540
-1.0
-1.2
-1.4
-0.80-0.96-1.12-1.28-1.44
-0.5-1.0-1.5
Within
Overall
Specs
Within
StDev 0.14320
C p 2.91
C pk 0.27
C C pk 2.91
O verall
StDev 0.14565
Pp 2.86
Ppk 0.26
C pm *
Process Capability Sixpack of Inlet Deforming
I Chart
Moving Range Chart
Last 25 Observations
Capability Histogram
Normal Prob Plot
A D: 0.612, P: 0.106
Capability Plot
Capability Analysis
Data Analysis result:
P value is greater than 0.05,
the data are normal distributed.
Cp = 2.91
Cpk = 0.27
AM I CD
17. V2008 R2 - 17
Capability Analysis
Output
indicator
Average Standard
deviation
Cp Cpk Sigma
Level
Y -1.14 0.14 2.91 0.27 2.3
Current Baseline Performance:
Mean: -1.14 Standard Deviation: s =0.14
Distribution Shape:Shift too much
Conclusion: variance is Ok but mean shifted, mean need to be improved
1.20.80.40.0-0.4-0.8-1.2
LSL USL
Process Data
Sample?N 60
StDev (Within) 0.14320
StDev (O v erall) 0.14565
LSL -1.25000
Target *
USL 1.25000
Sample Mean -1.13583
Potential (Within) C apability
C C pk 2.91
O v erall C apability
Pp 2.86
PPL 0.26
PPU 5.46
Ppk
C p
0.26
C pm *
2.91
C PL 0.27
C PU 5.55
C pk 0.27
O bserv ed Performance
PPM?<?LSL 100000.00
PPM?>?USL 0.00
PPM?Total 100000.00
Exp. Within Performance
PPM?<?LSL 212646.00
PPM?>?USL 0.00
PPM?Total 212646.00
Exp. O v erall Performance
PPM?<?LSL 216566.12
PPM?>?USL 0.00
PPM?Total 216566.12
Within
Overall
Process Capability of Inlet Deforming
AM I CD
18. V2008 R2 - 18
Station1 Measurement_Casting Station2 Measurement_Deburing Station3 Measurement_HT
Casting -1.16 Deburring -1.07 HT -1.58
Casting -1.20 Deburring -1.21 HT -1.47
Casting -1.19 Deburring -1.14 HT -1.58
Casting -1.16 Deburring -1.19 HT -1.67
Casting -1.20 Deburring -1.13 HT -1.32
Casting -1.22 Deburring -1.15 HT -1.51
Casting -1.18 Deburring -1.14 HT -1.57
Casting -1.26 Deburring -1.32 HT -1.42
Casting -1.35 Deburring -1.22 HT -1.73
Casting -1.20 Deburring -1.35 HT -1.56
Casting -1.23 Deburring -1.12 HT -1.43
Casting -1.21 Deburring -1.12 HT -1.39
Casting -1.38 Deburring -1.11 HT -1.47
Casting -1.18 Deburring -1.08 HT -1.63
Casting -1.31 Deburring -1.10 HT -1.75
Casting -1.18 Deburring -1.06 HT -1.54
Casting -1.09 Deburring -0.99 HT -1.56
Casting -1.29 Deburring -1.20 HT -1.49
Casting -1.36 Deburring -1.11 HT -1.57
Casting -1.32 Deburring -1.09 HT -1.64
Casting -1.04 Deburring -1.19 HT -1.49
Casting -1.23 Deburring -1.16 HT -1.53
Casting -1.02 Deburring -1.25 HT -1.43
Casting -1.14 Deburring -1.08 HT -1.37
Casting -1.19 Deburring -1.20 HT -1.55
Casting -1.16 Deburring -1.22 HT -1.66
Casting -1.22 Deburring -1.21 HT -1.70
Casting -1.17 Deburring -1.18 HT -1.69
Casting -1.03 Deburring -1.26 HT -1.45
Casting -1.17 Deburring -1.16 HT -1.62
-1.0-1.1-1.2-1.3
Median
Mean
-1.12-1.14-1.16-1.18-1.20
A nderson-Darling Normality Test
V ariance 0.0061
Skewness -0.370835
Kurtosis 0.478176
N 30
Minimum -1.3500
A -Squared
1st Q uartile -1.2100
Median -1.1550
3rd Q uartile -1.1075
Maximum -0.9900
95% C onfidence Interv al for Mean
-1.1894
0.25
-1.1313
95% C onfidence Interv al for Median
-1.1977 -1.1200
95% C onfidence Interv al for StDev
0.0620 0.1046
P-V alue 0.732
Mean -1.1603
StDev 0.0778
95% Confidence Intervals
Summary for Measurement_Deburing
AM I CD
-1.0-1.1-1.2-1.3-1.4
Median
Mean
-1.16-1.18-1.20-1.22-1.24
A nderson-Darling Normality Test
V ariance 0.0080
Skewness 0.010839
Kurtosis 0.212838
N 30
Minimum -1.3800
A -Squared
1st Q uartile -1.2375
Median -1.1950
3rd Q uartile -1.1600
Maximum -1.0200
95% C onfidence Interv al for Mean
-1.2347
0.69
-1.1679
95% C onfidence Interv al for Median
-1.2200 -1.1723
95% C onfidence Interv al for StDev
0.0712 0.1202
P-V alue 0.065
Mean -1.2013
StDev 0.0894
95% Confidence Intervals
Summary for Measurement_Casting
-1.3-1.4-1.5-1.6-1.7
Median
Mean
-1.50-1.52-1.54-1.56-1.58-1.60
A nderson-Darling Normality Test
V ariance 0.0122
Skewness 0.024626
Kurtosis -0.647635
N 30
Minimum -1.7500
A -Squared
1st Q uartile -1.6290
Median -1.5520
3rd Q uartile -1.4608
Maximum -1.3210
95% C onfidence Interv al for Mean
-1.5863
0.14
-1.5037
95% C onfidence Interv al for Median
-1.5828 -1.4872
95% C onfidence Interv al for StDev
0.0881 0.1487
P-V alue 0.967
Mean -1.5450
StDev 0.1106
95% Confidence Intervals
Summary for Measurement_HT
Observation
Measurement_Deburing
30282624222018161412108642
-1.0
-1.1
-1.2
-1.3
-1.4
Number of runs about median:
0.93142
12
Expected number of runs: 16.00000
Longest run about median: 7
Approx P-Value for Clustering: 0.06858
Approx P-Value for Mixtures:
Number of runs up or down:
0.02645
24
Expected number of runs: 19.66667
Longest run up or down: 2
Approx P-Value for Trends: 0.97355
Approx P-Value for Oscillation:
Run Chart of Measurement_Deburing
Observation
Measurement_Casting
30282624222018161412108642
-1.0
-1.1
-1.2
-1.3
-1.4
Number of runs about median:
0.64491
15
Expected number of runs: 16.00000
Longest run about median: 6
Approx P-Value for Clustering: 0.35509
Approx P-Value for Mixtures:
Number of runs up or down:
0.27571
21
Expected number of runs: 19.66667
Longest run up or down: 2
Approx P-Value for Trends: 0.72429
Approx P-Value for Oscillation:
Run Chart of Measurement_Casting
Observation
Measurement_HT
30282624222018161412108642
-1.3
-1.4
-1.5
-1.6
-1.7
-1.8
Number of runs about median:
0.35509
17
Expected number of runs: 16.00000
Longest run about median: 5
Approx P-Value for Clustering: 0.64491
Approx P-Value for Mixtures:
Number of runs up or down:
0.77172
18
Expected number of runs: 19.66667
Longest run up or down: 3
Approx P-Value for Trends: 0.22828
Approx P-Value for Oscillation:
Run Chart of Measurement_HT
ANOVA Analysis
30 Inlet Deforming data were collected for each process station from Casting
to Heat Treating, all data are independent and normal distributed (P>0.05).
19. V2008 R2 - 19
Stations
Measurements
HTDeburringCasting
-0.9
-1.0
-1.1
-1.2
-1.3
-1.4
-1.5
-1.6
-1.7
-1.8
Boxplot of Measurements by Stations
ANOVA Analysis AM I CD
No big difference observed between the measurement data after Deburring station
and data after Casting station. So the Degating/Deburring process Does Not Cause
Difference to the part inlet position.
The measurement data after Heat Treating station are obviously different with those
after Casting and Degating/Deburing station. The Heat Treating process Causes
Difference to the part inlet position.
20. V2008 R2 - 20
Data
VerticalHorizontal
0.50
0.25
0.00
-0.25
-0.50
Boxplot of Horizontal, Vertical
2 Sample T-Test AM I CD
Compared with the horizontal placement, the inlet position difference of
vertical placement is much better (mean 0.115 vs. mean -0.390), so we
will use this placement method, and the part fixture will be designed
accordingly.
21. V2008 R2 - 21
AM I CDSOV Analysis
Mold Mold 1 Mold 2
Machine Setting 1 2 1 2
SOV is conducted to verify which factor in the casting process to
cause the biggest variance.
In this study, 2 duplicated molds from 2 suppliers were used. 2
machine settings (different temperature, 3 pressures) were
applied to verify the largest variance.
22. V2008 R2 - 22
Mold
Measurement
21
-0.9
-1.0
-1.1
-1.2
-1.3
-1.4
-1.5
-1.6
Machine
Setting
1
2
Multi-Vari Chart for Measurement by Machine Setting - Mold
AM I CDSOV Analysis
In the Casting Process, The Largest Variance is
From the Machine Setting.
23. V2008 R2 - 23
Summary Table of Validated X’s
Y’s X’s X’s Identified from
FMEA / CE
Matrix/CE
Diagram/5 Why’s
X’s Validated from
Hypothesis
Test/Corr/Regression/
Plot/Chart
Conclusion Remarks
(attach
Minitab
output)
Inlet
Defor
mation
X1: Inlet
cooling too
quick
C&E Matrix
Fishbone Diagram
Quick Win
Implementation
Important (Defect rate lowered
2%)
X2: Injection
pin location
not even
C&E Matrix
Fishbone Diagram
Quick Win
Implementation
Important (Defect rate lowered
2%)
X3: High
content of
strontium
C&E Matrix
Fishbone Diagram
Quick Win
Implementation
Important (Defect rate lowered
2%)
X4: Part
placement
orientation in
HT furnace
C&E Matrix
Fishbone Diagram
ANOVA and 2 Sample
T-Test
Significant (P<0.05)
X5: Melting
aluminum
temperature
C&E Matrix
Fishbone Diagram
SOV Analysis Variance components
percentage 70%
X6: Casting
filling
pressures
C&E Matrix
Fishbone Diagram
SOV Analysis Variance components
percentage 70%
AM I CD
24. V2008 R2 - 24
Improve Phase Planning
Y Variable, X’s Improve Methods Status
Y: Inlet
Deformation
X1: Melting Aluminum
Temperature
DOE
On-goingX2: P1
X3: P2
X4: P3
AM I CD
25. V2008 R2 - 25
DOE Plan
Y Factors Defination Levels
X1: Temperature
Temperature of Melting
Aluminum Ready for Casting
2
X2: P1 Tube Pressure 2
X3: P2 Tank Pressure 2
X4: P3 Molding Pressure 2
Inlet Deformation
AM I CD
Factors Level 1 Level 2
Temperature 685 °C 705 °C
P1 0.1 Mpa 0.2 Mpa
P2 0.1 Mpa 0.22 Mpa
P3 0.23 Mpa 0.35 Mpa
26. V2008 R2 - 26
Step 1 View the Data – Graphical Summary
Data is normally distributed without outlier points
DOE Analysis AM I CD
-0.2-0.4-0.6-0.8-1.0-1.2-1.4
Median
Mean
-0.5-0.6-0.7-0.8-0.9
A nderson-Darling Normality Test
V ariance 0.10171
Skewness -0.574826
Kurtosis 0.008989
N 20
Minimum -1.42000
A -Squared
1st Q uartile -0.91500
Median -0.66000
3rd Q uartile -0.47500
Maximum -0.17000
95% C onfidence Interv al for Mean
-0.86276
0.31
-0.56424
95% C onfidence Interv al for Median
-0.81000 -0.49941
95% C onfidence Interv al for StDev
0.24253 0.46580
P-V alue 0.522
Mean -0.71350
StDev 0.31892
95% Confidence Intervals
Summary for Inlet Deformation
27. V2008 R2 - 27
DOE Analysis AM I CD
Step 2 Create the Model
– All terms are included in the initial model
28. V2008 R2 - 28
AM I CD
Estimated effects and coefficients indicate that Temperature, P2, P3 and
interaction between Temperature*P3 are significant at a = 0.05.
R-Sq = 99.22% R-Sq(adj) = 96.27%
Curvature is not significant.
DOE Analysis
Step 3 Fit the Model – Effects Estimation
29. V2008 R2 - 29
Standardized Effect
Percent
1050-5-10-15
99
95
90
80
70
60
50
40
30
20
10
5
1
Factor
P3
Name
A Temperature
B P1
C P2
D
Effect Type
Not Significant
Significant
AD
D
C
A
Normal Probability Plot of the Standardized Effects
(response is Inlet Deformation, Alpha = .05)
AM I CDDOE Analysis
Step 3 Fit the Model – Probability Plot of Effects
Normal Probability Plot of Effects also shows that Temperature, P2,
P3 and interaction between Temperature*P3 are significant at a = 0.05.
30. V2008 R2 - 30
AM I CDDOE Analysis
Term
Standardized Effect
ACD
BD
B
ABC
BCD
ABD
ABCD
AB
CD
BC
AC
AD
C
D
A
181614121086420
2.78
Factor
P3
Name
A Temperature
B P1
C P2
D
Pareto Chart of the Standardized Effects
(response is Inlet Deformation, Alpha = .05)
Step 3 Fit the Model – Pareto Plot of Effects
Pareto Plot of Effects shows the same result.
31. V2008 R2 - 31
AM I CD
Step 3 Fit the Model
- Main Effects and Interaction Effects Plots
The significant effects can also be verified through the Main
Effect Plot and Interaction Effect Plot.
DOE Analysis
MeanofInletDeformation
705695685
-0.5
-0.6
-0.7
-0.8
-0.9
0.200.150.10
0.220.160.10
-0.5
-0.6
-0.7
-0.8
-0.9
0.350.290.23
Temperature P1
P2 P3
Point Type
Corner
Center
Main Effects Plot (data means) for Inlet Deformation
Temperature
0.200.150.10 0.220.160.10 0.350.290.23
-0.4
-0.8
-1.2
P1
-0.4
-0.8
-1.2
P2
-0.4
-0.8
-1.2
P3
Temperature
Center
705 Corner
Point Type
685 Corner
695
P1
Center
0.20 Corner
Point Type
0.10 Corner
0.15
P2
Center
0.22 Corner
Point Type
0.10 Corner
0.16
Interaction Plot (data means) for Inlet Deformation
32. V2008 R2 - 32
AM I CDDOE Analysis
Step 4 Perform Residual Diagnostics
The residuals are not normally distributed.
The residuals are not randomly centered around zero in the plot of
Residuals vs. Fitted Values.
The residuals are not randomly centered around zero in the plot of
Residuals vs. Run Order.
Standardized Residual
Percent
3210-1
99
90
50
10
1
Fitted Value
StandardizedResidual
0.0-0.4-0.8-1.2-1.6
2
1
0
-1
-2
Standardized Residual
Frequency
1.51.00.50.0-0.5-1.0-1.5
16
12
8
4
0
Observation Order
StandardizedResidual
2018161412108642
2
1
0
-1
-2
Normal Probability Plot of the Residuals Residuals Versus the Fitted Values
Histogram of the Residuals Residuals Versus the Order of the Data
Residual Plots for Inlet Deformation
33. V2008 R2 - 33
AM I CDDOE Analysis
Step 4 Perform Residual Diagnostics
The residuals show non-random pattern in the plots
of Residuals vs. each Input Factors.
Temperature
StandardizedResidual
705700695690685
2
1
0
-1
-2
P1
StandardizedResidual
0.2000.1750.1500.1250.100
2
1
0
-1
-2
P2
StandardizedResidual
0.200.150.10
2
1
0
-1
-2
P3
StandardizedResidual
0.350.300.25
2
1
0
-1
-2
Residuals Versus Temperature
(response is Inlet Deformation)
Residuals Versus P1
(response is Inlet Deformation)
Residuals Versus P2
(response is Inlet Deformation)
Residuals Versus P3
(response is Inlet Deformation)
34. V2008 R2 - 34
AM I CDDOE Analysis
Step 5 Check for Possible Transformation
A Transformation is not necessary since the SSE for
Lambda=1 is below the 95% confidence line.
lambda
ResidualSumofSquares
210-1-2
1.00
0.10
0.01
0.020
Box-Cox Transformations
With approximate 95 % confidence interval for the transformation parameter
35. V2008 R2 - 35
AM I CDDOE Analysis
Step 6 Remove Non-significant Terms / Refit Reduced Model
- Non-significant terms are removed
36. V2008 R2 - 36
AM I CD
All terms are significant.
R-Sq = 94.21% R-Sq(adj) = 92.67%
Curvature is not significant.
DOE Analysis
Step 6 Remove Non-significant Terms / Refit Reduced Model
37. V2008 R2 - 37
AM I CDDOE Analysis
Step 6 Remove Non-significant Terms / Refit Reduced Model
Normal Probability Plot and Pareto Plot of Effects also show
that all terms are significant at a = 0.05.
38. V2008 R2 - 38
AM I CDDOE Analysis
Step 6 Remove Non-significant Terms / Refit Reduced Model
The significant effects can also be verified through the Main
Effect Plot and Interaction Effect Plot.
MeanofInletDeformation
705695685
-0.5
-0.6
-0.7
-0.8
-0.9
0.220.160.10
0.350.290.23
-0.5
-0.6
-0.7
-0.8
-0.9
Temperature P2
P3
Point Type
Corner
Center
Main Effects Plot (data means) for Inlet Deformation
T emperature
0.220.160.10 0.350.290.23
-0.4
-0.8
-1.2
P2
-0.4
-0.8
-1.2
P3
Temperature
Center
705 Corner
Point Type
685 Corner
695
P2
Center
0.22 Corner
Point Type
0.10 Corner
0.16
Interaction Plot (data means) for Inlet Deformation
39. V2008 R2 - 39
AM I CDDOE Analysis
Step 6 Residual Diagnostics for Reduced Model
The residuals are not normally distributed.
The plot of Residuals vs. Fitted Values and Residuals vs.
Run Order do not show any non-random patterns.
Standardized Residual
Percent
210-1-2
99
90
50
10
1
Fitted Value
StandardizedResidual
-0.3-0.6-0.9-1.2
2
1
0
-1
-2
Standardized Residual
Frequency
2.01.51.00.50.0-0.5-1.0-1.5
4.8
3.6
2.4
1.2
0.0
Observation Order
StandardizedResidual
2018161412108642
2
1
0
-1
-2
Normal Probability Plot of the Residuals Residuals Versus the Fitted Values
Histogram of the Residuals Residuals Versus the Order of the Data
Residual Plots for Inlet Deformation
40. V2008 R2 - 40
AM I CD
The residuals do not show any non-random pattern in the
plots of Residuals vs. each Input Factors.
DOE Analysis
Temperature
StandardizedResidual
705700695690685
2
1
0
-1
-2
P1
StandardizedResidual
0.2000.1750.1500.1250.100
2
1
0
-1
-2
P2
StandardizedResidual
0.200.150.10
2
1
0
-1
-2
P3
StandardizedResidual
0.350.300.25
2
1
0
-1
-2
Residuals Versus Temperature
(response is Inlet Deformation)
Residuals Versus P1
(response is Inlet Deformation)
Residuals Versus P2
(response is Inlet Deformation)
Residuals Versus P3
(response is Inlet Deformation)
41. V2008 R2 - 41
Y (Inlet Deformation) = -6.9454 + 0.0098 (Temperature) +
1.8524 (P2) + 80.9792 (P3) - 0.1208 (Temperature)*(P3)
AM I CDDOE Analysis
Step 7 Choose Improved Model & Predict Response
The reduced model is acceptable and thus
the chosen model is as below:
42. V2008 R2 - 42
AM I CDDOE Analysis
Step 7 Choose Improved Model & Predict Response
Predict Inlet Deformation at the following settings of factors:
Temperature = 685 °C
P2 = 0.22 MPa
P3 = 0.23 MPa
43. V2008 R2 - 43
AM I CDDOE Analysis
Step 8 Interpret Chosen Model
The Contour Plot and Surface Plot show the basic
changing direction of factors to meet target Y.
Temperature
P3
-0.3
-0.4
-0.5
-0.6
-0.7
-0.8
-0.9
-1.0
704702700698696694692690688686
0.34
0.32
0.30
0.28
0.26
0.24
Hold Values
P2 0.22
Contour Plot of Inlet Deformation vs P3, Temperature
0.35
Inlet Deformation
-1.2 0.30
-0.9
-0.6
P3
-0.3
684 0.25690 696
702
T emperature
Hold Values
P2 0.22
Surface Plot of Inlet Deformation vs P3, Temperature
44. V2008 R2 - 44
AM I CDDOE Analysis
Step 8 Interpret Chosen Model
45. V2008 R2 - 45
AM I CDDOE Analysis
Step 8 Interpret Chosen Model
Optimal Y value -0.2422 can be reached at the following
settings of Xs:
Temperature = 685 °C
P2 = 0.22 MPa
P3 = 0.23 MPa
46. V2008 R2 - 46
AM I CDDOE Analysis
Step 9 Make Confirmation Runs
Will conduct 10 confirmation runs at the optimal settings above.
Calculate the confidence interval of prediction based on the number of
confirmation test run.
10 confirmation runs conducted. The mean (-0.2387) of the 10 confirmation runs
falls within the calculated confidence interval.
Thus we can finally draw the conclusion that the model is acceptable.
47. V2008 R2 - 47
AM I CDPilot Run
Data Analysis result:
P value is greater than 0.05, the data are normal distributed.
Cp=3.09, Cpk=2.17
IndividualValue
30272421181512963
0.00
-0.25
-0.50
_
X=-0.2970
UCL=0.0262
LCL=-0.6203
MovingRange
30272421181512963
0.4
0.2
0.0
__
MR=0.1216
UCL=0.3971
LCL=0
Observation
Values
3025201510
-0.15
-0.30
-0.45
-0.1-0.2-0.3-0.4-0.5
0.0-0.2-0.4-0.6
Within
Overall
Specs
Within
StDev 0.10776
C p 3.09
C pk 2.17
C C pk 3.09
O v erall
StDev 0.09132
Pp 3.65
Ppk 2.57
C pm *
Process Capability Sixpack of Inlet Deformation
I Chart
Moving Range Chart
Last 25 Observations
Capability Histogram
Normal Prob Plot
A D: 0.423, P: 0.300
Capability Plot
48. V2008 R2 - 48
AM I CDPilot Run
1.20.80.40.0-0.4-0.8-1.2
LSL USL
Process Data
Sample?N 60
StDev (Within) 0.14320
StDev (O v erall) 0.14565
LSL -1.25000
Target *
USL 1.25000
Sample Mean -1.13583
Potential (Within) C apability
C C pk 2.91
O v erall C apability
Pp 2.86
PPL 0.26
PPU 5.46
Ppk
C p
0.26
C pm *
2.91
C PL 0.27
C PU 5.55
C pk 0.27
O bserv ed Performance
PPM?<?LSL 100000.00
PPM?>?USL 0.00
PPM?Total 100000.00
Exp. Within Performance
PPM?<?LSL 212646.00
PPM?>?USL 0.00
PPM?Total 212646.00
Exp. O v erall Performance
PPM?<?LSL 216566.12
PPM?>?USL 0.00
PPM?Total 216566.12
Within
Overall
Process Capability of Inlet Deforming
Cp=2.91
Cpk=0.27
Cp=3.09
Cpk=2.17
Current Performance:
Mean: -0.29 Standard Deviation: s =0.10
Conclusion: variance is Ok and mean improved, successful improvement
0.90.60.30.0-0.3-0.6-0.9
LSL USL
Process Data
Sample?N 30
StDev (Within) 0.10776
StDev (O v erall) 0.09132
LSL -1.00000
Target *
USL 1.00000
Sample Mean -0.29703
Potential (Within) C apability
C C pk 3.09
O v erall C apability
Pp 3.65
PPL 2.57
PPU 4.73
Ppk
C p
2.57
C pm *
3.09
C PL 2.17
C PU 4.01
C pk 2.17
O bserv ed Performance
PPM?<?LSL 0.00
PPM?>?USL 0.00
PPM?Total 0.00
Exp. Within Performance
PPM?<?LSL 0.00
PPM?>?USL 0.00
PPM?Total 0.00
Exp. O v erall Performance
PPM?<?LSL 0.00
PPM?>?USL 0.00
PPM?Total 0.00
Within
Overall
Process Capability of Inlet Deformation
49. V2008 R2 - 49
AM I CDSolution Summary
X1: Cooling rate at
inlet position
Solution: Add heating insert
to help heating around mold
inlet area
X2: Injection pin location
Solution: Add injection pin
around mold inlet area for
even distribution of force
X3: Content of Strontium (Sr)
Solution: Lower the Strontium
content to the lower limit of
Chrysler specification
X4: Part placement
orientation HT in furnace
Solution: Vertical placement
in HT furnace
X5: Melting aluminum
temperature
Solution: Adjust the
temperature setting
X6: Casting filling 3
pressures
Solution: Adjust the 3
pressures setting
50. V2008 R2 - 50
Full Scale Implementation Plan
Tasks Activities Responsible
person
Start Date Due Date Status and
Actions
WI Definition Re-develop the new
working instruction for
affected process
XXX May 5 April 8 Closed
Staff Training Train related operators and
line supervisors
XXX May 5 May 8 Closed
Machine parameter
adjustment
Set the machine conditions XXX May 10 May 12 Closed
Data collection Collect the data on time, 5
pcs/shift
XXX May 15 June 15 On-going
Implementation
strategy
Define the WI and set the selected pressure/temperature in parallel
Then collect the data for 5 pcs per shift
Time line: May 15 ~ June 15
AM I CD
51. V2008 R2 - 51
AM I CDSPC Control Chart
Sample
SampleMean
60544842363024181261
0.0
-0.2
-0.4
-0.6
-0.8
-1.0
-1.2
-1.4
-1.6
__
X=-0.268
UCL=-0.040
LCL=-0.496
Before After
Xbar Chart of Inlet Deformation by Stage
52. V2008 R2 - 52
Replication Standardization
Solution Focus Pilot Site Company-wide Similar process
Casting & HT
process
Yes
Exhaust
Manifold Line
Aluminum Workshop
Exhaust manifold
line and other lines
involving casting &
HT process
AM I CD
Replication Opportunity
Standardization and Documentation
53. V2008 R2 - 53
Financial Impact
Project Benefit: Initial estimate / COPQ: $264,000
Project Name Front Cover Inlet Deformation Issue Improvement
Project Leader Ling Hang
Financial Benefits 1st Quarter 2nd Quarter 3rd Quarter 4th Quarter Total
Direct savings 48,000 48,000 48,000 48,000 $192,000
Cost avoidance (3CPR
avoidance)
35,000 $35,000
Total $0.00 $0.00 $0.00 $0.00 $227,000
Non-Financial
Benefits
Potential more business with Chrysler
Signature
Approvals MBB Name
Date
Champion Name
Date
Finance Name
Date
AM I CD