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Design for Manufacturability and Assembly of the
endogo® Palmable Endoscopic Camera
Matthew R. Ostrander
February 17th, 2009
2
Overview
 Background
 Goal
 Problem Definition
 Approach
 Results
 Q&A
3
Background
 Current archiving accomplished
with large, expensive
equipment
 endogo® combines
portability/simplicity with need
for endoscopic imagery
 Provides a platform that
combines available imaging
technology with the endoscope
 Result: Compact, digital
endoscopic imaging device,
ergonomically designed to
provide maximal comfort for
short and prolonged use
4
Goal
 Recommend design and assembly
process changes that will enable
production of the endogo® at reduced
cost, increased speed and higher quality
5
Problem Definition
 Design effort focused on functionality –
This project focuses on manufacturability
 Metrics guide the project
Cycle Time
Metrics and Order-Winning Criteria (OWC)
assist in identification of figures of merit
 Weighting matrix resulted in metrics
selected for this project
6
Approach
 Model/Analyze Baseline Design
Extend® Model
Part-count reduction
DFA Index Estimation
 Insertion Time Estimation
 Acquisition Time Estimation
Defect Estimation and Defect Table
Cycle Time, Distance, Quality, Inventory
Estimation
7
Approach (continued)
 Model/Analyze New Design
Extend® Model
Material Selection (Dimensionless Ranking)
DFA Index Estimation
Defect Estimation
Cycle Time, Distance, Quality, Inventory
Estimation
8
Approach
Flowchart
Tasks
Interdependent
- DFA Index
- Inventory Turns
- Quality
- Distance
- Cycle Time
Baseline Design
Extend
Model
Part-Count
Reduction
Assembly /
Acquisition
Time
Estimation
Probability
of Defect
Calculation
Metrics
“Filter”
Process
Redesgin
Material
Selection
(Dimensionless
Ranking)
New Process
(Assembly)
New Product
(Manufacture)
New Design
- DFA Index
- Inventory Turns
- Quality
- Distance
- Cycle Time
Compare
Baseline Extend
Model
10
Extend Model (1 of 2)
 Benefits of Starting with the Model
Clear understanding of the process
Provides Inventory Turns estimate
 Inventory Turns calculated for the baseline
and new designs
$,
$,
InventoryAverageDaily
AnnuallySoldGoodsofCost
TurnsInventory 
11
Extend Model (2 of 2)
 Average daily inventory taken from the
model by determining stock and work in
process
 Cost of goods sold in a year taken from
the total number of cameras produced in a
single model run (simulates one year)
12
Baseline Extend Model (1 of 5)
13
Baseline Extend Model (2 of 5)
 Order Size (Cameras per Order) is
calculated by dividing subassembly lead
time (Minutes per Order) by the endogo
lead time (Minutes per Camera)
TimeLeadendogo
TimeLeadySubassembl
SizeOrder 
14
Baseline Extend Model (3 of 5)
15
Baseline Extend Model (4 of 5)
16
Baseline Extend Model (5 of 5)
 Cycle Time variation due to production approach
 10 built in rapid succession followed by long period
until next 10
 With 1 piece flow, Cycle Time between 285 and 276
minutes at the 99% confidence level
 Average Cycle Time representative of system’s true
capability because demand exceeds capacity
 Inventory Turns calculated across 30 model runs
Metric Average Upper Bound
(99% Confidence)
Lower Bound
(99% Confidence)
Inventory Turns 10.9 11.0 10.8
Cycle Time, min 278 387 169
DFMA
Considerations
18
DFMA Considerations (1 of 12)
Part Count Reduction
 During operation of the product, does the part
move relative to all other parts already
assembled?
 Must the part be of a different material than or
be isolated from all other parts already
assembled?
 Must the part be separate from all other parts
already assembled because otherwise
necessary assembly of other separate parts
would be impossible?
19
DFMA Considerations (2 of 12)
 Part count reduced from
92 to 42
 Example: Display
Mounting Ring and LCD
Ring Neck
 Injection Mold the neck
and ring in once piece
 The result, 42, is Nmin in
the DFA Index (next)
20
DFMA Considerations (3 of 12)
 DFA Index Calculation
assemblycompletetotimeestimatedt
partonefortimeassemblybasict
partsofnumberltheoreticalowestN
IndexDFAE
where
ttNE
ma
a
ma
maama





min
min
,
/
21
DFMA Considerations (4 of 12)
 ta calculation
Boothroyd assumes 3 seconds
Assumes no knowledge of actual process
Attempt to find a basic assembly time tailored
to this particular design
22
DFMA Considerations (5 of 12)
 ta calculation
First Attempt: DFA Index Greater than One
timecycletheofdevst
designbaselineinpartsofnumberactualN
cameraonebuildtorequiredtimeCT
where
N
CT
t
CT
actual
actual
CT
a
..
,
282.1







23
DFMA Considerations (6 of 12)
 ta calculation
Second Attempt: Data not Normal
steppertimeassemblyestimatedtheofdevst
steppertimeassemblyestimatedaveraget
where
tt
estimated
averageestimated
estimatedaverageestimateda
..
,
282.1
,
,





24
DFMA Considerations (7 of 12)
 ta calculation
Second Attempt: Data not Normal
Assembly Times, seconds
Percent
2520151050-5
99
95
90
80
70
60
50
40
30
20
10
5
1
Mean
<0.005
7.355
StDev 5.435
N 30
AD 1.967
P-Value
Normality Test of the Assembly Times
Normal
25
DFMA Considerations (8 of 12)
 ta calculation
Third Attempt: Log-normal Successful
Log of Assembly Times
Percent
1.61.41.21.00.80.60.40.20.0
99
95
90
80
70
60
50
40
30
20
10
5
1
0.411
10
Mean
0.542
0.7733
StDev 0.2824
N 30
AD 0.307
P-Value
Normality Test of the Log of Assembly Times
Normal
26
DFMA Considerations (9 of 12)
 ta calculation
Third Attempt: Log-normal Successful
Log of Assembly Times
Percent
1.61.41.21.00.80.60.40.20.0
99
95
90
80
70
60
50
40
30
20
10
5
1
0.411
10
Mean
0.542
0.7733
StDev 0.2824
N 30
AD 0.307
P-Value
Normality Test of the Log of Assembly Times
Normal
 
58.2411.0
411.0log
10
10


x
x
27
DFMA Considerations (10 of 12)
EASY TO
ALIGN
NOT EASY
TO ALIGN
EASY TO
ALIGN
NOT EASY
TO ALIGN
EASY TO
ALIGN
NOT EASY
TO ALIGN
0 1 2 3 4 5
NO ACCESS OR
VISION
DIFFICULTIES
0 1.5 3 2.6 5.2 1.8 3.3
OBSTRUCTED
ACCESS OR
RESTRICED VISION
1 3.7 5.2 4.8 7.4 4 5.5
OBSTRUCTED
ACCESS AND
RESTRICTED VISION
2 5.9 7.4 7 9.6 7.7 7.7
COPYRIGHT 1999 BOOTHROYD DEWHURST, INC.
SECURED BY SEPARATE OPERATION OR PART
NO HOLDING DOWN HOLDING DOWN
SECURED ON INSERTION
BY SNAP FIT
 tma Calculation: Insertion Time Estimate
28
DFMA Considerations (11 of 12)
< 2mm < 2mm
SIZE > 15mm 6mm < SIZE < 15mm SIZE > 6mm SIZE > 15mm 6mm < SIZE < 15mm SIZE > 6mm
0 1 2 3 4 5
SYM < 360 0 1.13 1.43 1.69 1.84 2.17 2.45
360 ≤ SYM < 540 1 1.5 1.8 2.06 2.25 2.57 3
540 ≤ SYM < 720 2 1.8 2.1 2.36 2.57 2.9 3.18
SYM = 720 3 1.95 2.25 2.51 2.73 3.06 3.34
FOR PARTS THAT CAN BE GRASPED AND MANIPULATED WITH ONE HAND WITHOUT THE AID OF GRASPING TOOLS
COPYRIGHT 1999 BOOTHROYD DEWHURST, INC.
NO HANDLING DIFFICULTIES PART NESTS OR TANGLES
THICKNESS > 2mm THICKNESS > 2mm
 tma Calculation: Acquisition Time Estimate
29
DFMA Considerations (12 of 12)
 tma calculation: Sum all estimates
ta, s tma, s Nmin Ema
Baseline Design 2.58 2273 33 0.04
Distance
Calculations
31
Clean Room
Flow Hoods
Ramp and Loading Dock
Warehouse
48' 8 x 45
Clean Room (Future)
General Manufacturing 70 X 50
20 X 18
Sink
40 x 45
ShopBiohazard LabHall
Lech
Scott Rosanna Mark
Endogo Work Station
Receiving
Receiving
Rack
Endogo Rack










Distance Calculations (1 of )
 1 – Entry
 2 – Receiving Rack
 3 – Receiving
 4 – Receiving Rack
 5 – Inspection
 6 – Receiving Rack
 7 – Storage
 8 – Machining
 9 – Assembly
 10 – Ship
25,500 feet
32
Clean Room
Flow Hoods
Ramp and Loading Dock
Warehouse
48' 8 x 45
Clean Room (Future)
General Manufacturing 70 X 50
20 X 18
Sink
40 x 45
ShopBiohazard LabHall
Lech
Scott Rosanna Mark
Endogo Work Station
Receiving
Receiving Rack
Endogo Rack
Distance Calculations (1 of )
 1 – Entry
 2 – Receiving/Inspection
 3 – Receiving Rack
 4 – endogo® Worksation




4,840 feet
Assembly
Modifications
34
Workstation Changes
 Contain all parts on the workbench rather
than in the storage rack
 Do not “kit” each camera in the same bin
 Organize each part bin in order of
assembly
 Mark bins with part number and picture bin
35
Pareto Chart
0
20
40
60
80
100
120
140
160
Process Steps
ActivityTime,seconds
0%
10%
20%
30%
40%
50%
60%
70%
80%
90%
100%
Cumulative%
Baseline New Design Average After Re-design
Cumulative %, New Design Cumulative %, Baseline
36
DFA Index Values
ta, s tma, s Nmin Ema
Baseline Design 2.58 2273 33 0.04
New Design 2.58 221 33 0.4
 tma estimated primarily by way of
Boothroyd techniques
 10-fold decrease in tma led to 10-fold
increase in DFA Index
 The ideal would take 85 seconds to
assemble
Quality Estimates
38
Quality Estimates
  
assemblyperoperationsofnumbern
soperationpertimeassemblyestimatedDFAaveraget
assemblyperdefectofyprobabilitD
where
tforD
tfortD
i
a
ia
i
n
ia





,
,
3,0
3,30001.011
n ti, seconds Da, ppm
Baseline Design 76 30 190,000
New Design 29 7.0 12,000
Material and
Process Selection
40
Material and Process Selection
 Dimensionless Ranking
rd parametethe derived to formhat is useExponent tm
determinedis beinghe N-valueor which tmaterial ftheofpropertynP
sg materialengineerinof commonrangeaforparameterderivedLowestD
sg materialengineerinof commonrangeaforparameterderivedHighestD
parameterDerivedD
PPPD
where
DDDDN
n
thn
m
n
mm n







min
max
21
minmax10min10
21
,
)/(log/)/(log100

Derived Parameter Description Exponents
m1 m2 m3 m4 m5
Best YT at Minimized Weight and $ -1 1 0 0 -2
Best YC and Minimized Weight and $ -1 0 0 1 -2
Best Beam/Plate Strength at Minimized Weight and $ -1 1/2 0 0 -2
Best Stiffness at Minimized Weight and $ -1 0 1/3 0 -2
41
Initial broad group of
candidate materials
Cost Tensile Yield Strength
Elastic
Modulus
Compressive
Yield Strength Density
$/kg MN/m2 MN/m2 MN/m2 kg/m3
Gray Cast Iron 3.32E-01 2.93E+02 1.34E+05 2.93E+02 7.21E+03
Ductile Iron 4.08E-01 4.48E+02 1.65E+05 3.10E+02 7.13E+03
Malleable Iron 4.85E-01 3.45E+02 1.60E+05 3.45E+02 7.38E+03
Mild Steel 1.15E+00 2.62E+02 2.07E+05 2.62E+02 7.77E+03
Alloy Steel 7.14E+00 1.38E+03 2.07E+05 1.38E+03 7.85E+03
Stainless Steel 3.19E+00 2.48E+02 1.93E+05 2.48E+02 8.04E+03
Al (High
Strength) 6.12E+00 1.93E+02 7.10E+04 1.93E+02 2.75E+03
Beryllium
Copper 4.46E+01 1.10E+03 1.28E+05 1.10E+03 8.27E+03
Copper, Hard 3.32E+00 3.10E+02 1.17E+05 3.10E+02 8.96E+03
Magnesium 8.93E+00 2.34E+02 4.48E+04 2.34E+02 1.80E+03
Titanium 3.11E+01 9.45E+02 1.13E+05 9.45E+02 4.74E+03
Lead 3.32E+00 2.00E+01 1.52E+04 2.00E+01 1.14E+04
Epoxy 6.12E+00 6.55E+01 3.10E+03 2.48E+02 1.91E+03
HDPE 1.39E+00 2.48E+01 8.27E+02 2.48E+01 9.71E+02
Polycarbonate
(Glass-
reinforced) 2.45E+00 1.59E+02 1.16E+04 1.45E+02 1.53E+03
Rubber 4.03E+00 2.76E+01 4.59E+00 2.76E+01 9.71E+02
Polyurethane
Foam 2.04E+00 1.52E+01 1.08E+02 1.72E+01 4.99E+02
Particle Board 4.08E-01 1.55E+01 2.93E+03 1.45E+01 6.10E+02
Pine 2.38E+00 7.93E+01 8.27E+03 3.31E+01 3.61E+02
Diamond 8.42E+02 2.69E+02 1.03E+06 4.00E+03 3.52E+03
Silicon Carbide
(Sintered) 7.65E+01 6.90E+01 3.31E+05 1.03E+03 2.97E+03
Tungsten Carbide 3.06E+02 8.96E+02 5.39E+05 4.95E+03 1.33E+04
Glass 3.83E-01 9.17E+01 7.31E+04 1.38E+03 2.47E+03
Pottery 7.65E-01 3.31E+01 7.03E+04 5.00E+02 2.22E+03
Concrete 1.53E-01 1.65E+00 3.00E+04 2.48E+01 2.50E+03
Cork 1.74E+00 1.00E+00 2.00E+01 1.00E+00 1.39E+02
Al-Li (2090) 1.66E+02 4.55E+02 6.90E+04 4.55E+02 2.55E+03
42
Stiffest at minimum
weight and cost
Strongest in Tension
at minimum weight
and cost
Stiffest Material at Minimum Weight
and Cost
Strongest Tension Member at
Minimum Weight and Cost
Particle Board 100 Pine 100
Cork 99 Particle Board 90
Pine 97 Glass 81
Concrete 90 Polyurethane Foam 78
Glass 85 Cork 78
Pottery 81
Polycarbonate (Glass-
reinforced) 77
Polyurethane Foam 79 Ductile Iron 74
Polyethylene (high-density) 77 Polyethylene (high-density) 73
Polycarbonate (Glass-
reinforced) 71 Gray Cast Iron 72
Gray Cast Iron 69 Malleable Iron 69
Ductile Iron 68 Pottery 65
Malleable Iron 65 Magnesium 64
Magnesium 61 Rubber 63
Al (High Strength) 58 Al (High Strength) 57
Mild Steel 57 Mild Steel 56
Epoxy 55 Alloy Steel 54
Rubber 51 Epoxy 54
Stainless Steel 47 Concrete 48
Copper, Hard 44 Titanium 46
Alloy Steel 41 Stainless Steel 44
Silicon Carbide (Sintered) 38 Copper, Hard 44
Titanium 35
Aluminum-Lithium Alloys
(2090) 34
Lead 33 Beryllium Copper 32
Aluminum-Lithium Alloys
(2090) 29 Silicon Carbide (Sintered) 19
Beryllium Copper 22 Lead 11
Diamond 17 Diamond 5
Tungsten Carbide 0 Tungsten Carbide 0
43
Strongest in
compression at
minimum weight and
cost
Strongest beam at
minimum weight and
cost
Strongest Compression Member at
Minimum Weight and Cost
Strongest Beam or Plate at Minimum
Cost and Weight
Glass 100 Cork 100
Pottery 84 Pine 100
Pine 82 Particle Board 99
Particle Board 81 Polyurethane Foam 88
Polyurethane Foam 70 Glass 82
Cork 68 Polyethylene (high-density) 81
Concrete 67
Polycarbonate (Glass-
reinforced) 76
Polycarbonate (Glass-
reinforced) 67 Pottery 73
Polyethylene (high-density) 64 Rubber 72
Gray Cast Iron 62 Concrete 72
Ductile Iron 61 Ductile Iron 69
Malleable Iron 60 Gray Cast Iron 69
Epoxy 58 Malleable Iron 66
Magnesium 55 Magnesium 63
Rubber 53 Epoxy 60
Al (High Strength) 48 Al (High Strength) 58
Mild Steel 47 Mild Steel 56
Alloy Steel 45 Alloy Steel 46
Silicon Carbide (Sintered) 37 Stainless Steel 45
Titanium 36 Copper, Hard 44
Stainless Steel 34 Titanium 40
Copper, Hard 34
Aluminum-Lithium Alloys
(2090) 33
Aluminum-Lithium Alloys
(2090) 23 Silicon Carbide (Sintered) 28
Diamond 22 Beryllium Copper 27
Beryllium Copper 22 Lead 27
Tungsten Carbide 7 Diamond 10
Lead 0 Tungsten Carbide 0
44
Full list of candidate
polymersCost
Tensile Yield
Strength
Elastic
modulus Density Autoclave?
$/kg MN/m2 MN/m2 kg/m3
Polyethylene
(high-density) 1.39 24.8 1080 971 No
Polycarbonate
(30% Glass-
reinforced) 2.45 118 11600 1433 Yes
Elastomer - Nitrile
Elastomer - SBR
Elastomer -
Thermoplastic
For design simplification, elastomers will not be used. Buttons will be of
the same material as the case.
Epoxy
Epoxy was lower rated than HDPE in initial screening. Typically used in
composites. This is also a thermoset.
Nylon 6,6 1.79 69 2515 1140 No
Phenolic Brittle thermoset
Polycarbonate
(PC) 2.45 63.8 7580 1200 Yes
Polyester
(thermoset) Thermoset
PEEK Not injection moldable and is very expensive
LDPE 1.79 11.75 225 924.5 No
UHMWPE 2.49 24.5 690 940 ?
PET 2.82 59.3 3450 1345 ?
PMMA Transparent
Polypropylene(PP) 1.81 32.6 1345 931 Yes
PS Relatively brittle and transparent
PTFE Poor cold flow properties
PVC 1.98 42.75 3250 1440 No
Silicone, flexible
cast Not injection moldable
Heat Resistant
ABS 2.19 43.5 2200 990 Yes
Acrylic Transparent
Acetal 3.09 66 3800 1465 No
45
Final list of candidate
polymers
Compared relative to one
another
Some compared but not
listed:
High Density Polyethylene
Nylon 6,6
Low Density Polyethylene
Polyvinyl Chloride
Acetal
Tension
Beam or
Plate
Strength
Stiffest
Beam Average
Polycarbonate
(30% Glass-
reinforced)
73 29 65 56
Polycarbonate
(PC)
64 39 76 60
Ultra-high
Molecular Weight
Polyethylene
(UHMWPE)
62 69 81 71
Polyethylene
Terephthalate
(PET)
65 43 70 59
Polypropylene
(PP)
100 100 100 100
Heat Resistant
Acrylonitrile
butadiene styrene
(ABS)
98 89 95 94
New Design Extend
Model
47
New Design Extend Model
 Fundamental structure remains the same
 Reduction of the number of steps due to
part count reduction
 Elimination of “pre-work”
 Reduction of re-work
48
Baseline Extend Model Results
0 5000 10000 15000 20000 25000 30000 35000 40000 45000 50000 55000 60000
0
3.05
6.1
9.15
12.2
15.25
18.3
21.35
24.4
27.45
30.5
33.55
36.6
39.65
42.7
45.75
48.8
51.85
54.9
57.95
61
TIME, MINUTES
CAMERAS
Model Output, Baseline
TOTAL STOCK WIP True INVENTORY
49
New Extend Model Results
0 5000 10000 15000 20000 25000 30000 35000 40000 45000 50000 55000 60000
0
0.95
1.9
2.85
3.8
4.75
5.7
6.65
7.6
8.55
9.5
10.45
11.4
12.35
13.3
14.25
15.2
16.15
17.1
18.05
19
TIME, MINUTES
NUMBER OF CAMERAS
Model Output, New Design
TOTAL STOCK TOTAL WIP INSTANTANEOUS I… INVENTORY AVERA…
50
Results Summary
Metric Average
Inventory Turns 16.4
Baseline Design
Cycle Time, min 267
Inventory Turns 107
New Design
Cycle Time, min 111
Inventory Turns  30
Target
Cycle Time, min ≤ 120
n ti, seconds Da, ppm
Baseline Design 76 30 190,000
New Design 30 7.0 12,000
Target - - ≤ 44,000
Distance, feet
Baseline Design 25,500
New Design 4,840
Target ≤ 5,000
51
52
53
Deliverables
 Product design changes
 Process design changes
 Material selection changes
 Inventory Turns estimation for baseline and new design
 Quality estimation for baseline and new design
 Distance estimation for baseline and new design
 Cycle Time estimation for baseline and new design
 Extend® - based model of manufacturing processes for
baseline and new design
 Final report
 Final defense briefing
54
Weighting Matrix
Metrics
OWC
Set-Up
Time Quality
Space
Ratio Inventory Flexibility Distance Uptime Weight
Price        1
Quality        10
Lead Time        1
Delivery Reliability        2
Flexibility        0
Innovation        0
Size        0
Design Leadership        0
BACK
55
OWC
BACK
Order-Winning Criterion Definition
Price The cost to the consumer of the product under
consideration.
Quality The perceived quality by the consumer of the product
under consideration.
Lead Time The duration of time from the moment the consumer
orders the product under consideration to the moment of
consumer receipt.
Delivery Reliability The repeatability of lead time.
Flexibility The number of parts that can be produced on the same
machine.
Innovation Ability An organization’s capacity for producing new marketable
products.
Size The volume of the product under consideration.
Design Leadership An organization’s capacity for transforming concepts into
finished products.
56
Metrics Identified for Project
BACK
Metric Weighted
Score
Redesign
Target
Inventory 14  30 turns
Quality 11
Captured
and
Warranty: ≤
44000 ppm
Distance 11 ≤ 5000 feet
Cycle Time –
≤ 120
minutes
57
Metrics
BACK
58
Metric Units Definition
Inventory Inventory
Turns
Inventory Turns for a product is equal to the cost of
goods sold divided by the average inventory value
Flexibility number of
parts
The number different parts that can be produced on
the same machine.
Distance feet The measure of the total linear feet of a part’s travel
through the plant from raw material in receiving to
finished products in shipping. This includes the
sum of the individual routes of each subassembly.
For example, if a plant manufactures a paper cup,
the side of the cup travels 10 feet to get to the
location where it is mated to the bottom. The
bottom at that point has also traveled 10 feet. After
the two are mated, it travels another 10 feet to be
given a finish and then to shipping. The total
Distance is then 30 feet.
Uptime percent The percentage of time a machine is producing to
specifications compared to the total time that
production can be scheduled.
Metrics (continued)
BACK
59
Inventory Turns
$,
$,
InventoryAverageDaily
AnnuallySoldGoodsofCost
TurnsInventory 
BACK
60
Dimensionless Ranking
rd parametethe derived to formhat is useExponent tm
valuethe lowestat it hasexcept thSame as PP
ialsring materon engineege of commfor a ranhest valueas the higial that hof a materpropertynP
determinedis beinghe N-valueor which tmaterial ftheofpropertynP
propertiesvaluedlowesttheofallofncombinatiothewithparameterDerivedD
propertiesvaluedhighesttheofallofncombinatiothewithparameterDerivedD
parameterDerivedD
PPPD
PPPD
PPPD
where
DDDDN
n
n,n
thn
thn
m
n
mm
m
n
mm
m
n
mm
n
n
n











maxmin,
max,
min
max
min,min,2min,1min
max,max,2max,1max
21
minmax10min10
21
21
21
,
)/(log/)/(log100



BACK
61
Dimensionless Ranking Example
 Five parameters form derived
parameters
1. Cost, $/kg
2. Tensile Yield Strength, MN/m2
3. Elastic Modulus, MN/m2
4. Compressive Yield Strength, MN/m2
5. Density, kg/m3
BACK
62
 Most likely derived parameter will be “best
tensile yield strength at minimized cost”
Using previous numbering convention and
dimensionless parameter equation: m2 = 1,
m1 = m5 = -1, and m3 = m4 = 0
This produces the derived parameter:
 Yt /r Cm
Dimensionless Ranking Example
BACK
63
Dimensionless Ranking Example
BACK
m1 m2 m3 m4 m5
-1 1 0 0 -1
Cost
Tensile
yield str.
Elastic
modulus
Compressive
yield str. Density
Derived
parameter N
$/kg MN/m2
MN/m2
MN/m2
kg/m3
Pmax 7.26E+02 1.38E+03 1.03E+06 4.95E+03 1.33E+04 1.43E-04 100
Pmin 1.32E-01 1.00E+00 4.95E+00 1.00E+00 1.39E+02 5.45E-02 0
Polyethylene
(high-density) 7.48E-01 2.48E+01 8.27E+02 2.48E+01 9.71E+02 3.41E-02 8
Titanium 2.68E+01 9.45E+02 1.13E+05 9.45E+02 4.74E+03 7.44E-03 34
64
Part-count Reduction
 During operation of the product, does the part
move relative to all other parts already
assembled?
 Must the part be of a different material than or
be isolated from all other parts already
assembled?
 Must the part be separate from all other parts
already assembled because otherwise
necessary assembly of other separate parts
would be impossible?
BACK
65
DFA Index
assemblycompletetotimeestimatedt
partonefortimeassemblybasict
partsofnumberltheoreticalowestN
IndexDFAE
where
ttNE
ma
a
ma
maama





min
min
,
/
BACK
66
Basic Assembly Time
timecycletheofdevst
designbaselineinpartsofnumberactualN
camerapertimecycleCT
where
N
CT
t
CT
actual
actual
CT
a
..
,
282.1







BACK
67
Probability of Defect (Entire
Assembly)
  
assemblyperoperationsofnumbern
soperationpertimeassemblyestimatedDFAaveraget
assemblyperdefectofyprobabilitD
where
tforD
tfortD
i
a
ia
i
n
ia





,
,
3,0
3,30001.011
BACK

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Final Report Defense 021509

  • 1. Design for Manufacturability and Assembly of the endogo® Palmable Endoscopic Camera Matthew R. Ostrander February 17th, 2009
  • 2. 2 Overview  Background  Goal  Problem Definition  Approach  Results  Q&A
  • 3. 3 Background  Current archiving accomplished with large, expensive equipment  endogo® combines portability/simplicity with need for endoscopic imagery  Provides a platform that combines available imaging technology with the endoscope  Result: Compact, digital endoscopic imaging device, ergonomically designed to provide maximal comfort for short and prolonged use
  • 4. 4 Goal  Recommend design and assembly process changes that will enable production of the endogo® at reduced cost, increased speed and higher quality
  • 5. 5 Problem Definition  Design effort focused on functionality – This project focuses on manufacturability  Metrics guide the project Cycle Time Metrics and Order-Winning Criteria (OWC) assist in identification of figures of merit  Weighting matrix resulted in metrics selected for this project
  • 6. 6 Approach  Model/Analyze Baseline Design Extend® Model Part-count reduction DFA Index Estimation  Insertion Time Estimation  Acquisition Time Estimation Defect Estimation and Defect Table Cycle Time, Distance, Quality, Inventory Estimation
  • 7. 7 Approach (continued)  Model/Analyze New Design Extend® Model Material Selection (Dimensionless Ranking) DFA Index Estimation Defect Estimation Cycle Time, Distance, Quality, Inventory Estimation
  • 8. 8 Approach Flowchart Tasks Interdependent - DFA Index - Inventory Turns - Quality - Distance - Cycle Time Baseline Design Extend Model Part-Count Reduction Assembly / Acquisition Time Estimation Probability of Defect Calculation Metrics “Filter” Process Redesgin Material Selection (Dimensionless Ranking) New Process (Assembly) New Product (Manufacture) New Design - DFA Index - Inventory Turns - Quality - Distance - Cycle Time Compare
  • 10. 10 Extend Model (1 of 2)  Benefits of Starting with the Model Clear understanding of the process Provides Inventory Turns estimate  Inventory Turns calculated for the baseline and new designs $, $, InventoryAverageDaily AnnuallySoldGoodsofCost TurnsInventory 
  • 11. 11 Extend Model (2 of 2)  Average daily inventory taken from the model by determining stock and work in process  Cost of goods sold in a year taken from the total number of cameras produced in a single model run (simulates one year)
  • 13. 13 Baseline Extend Model (2 of 5)  Order Size (Cameras per Order) is calculated by dividing subassembly lead time (Minutes per Order) by the endogo lead time (Minutes per Camera) TimeLeadendogo TimeLeadySubassembl SizeOrder 
  • 16. 16 Baseline Extend Model (5 of 5)  Cycle Time variation due to production approach  10 built in rapid succession followed by long period until next 10  With 1 piece flow, Cycle Time between 285 and 276 minutes at the 99% confidence level  Average Cycle Time representative of system’s true capability because demand exceeds capacity  Inventory Turns calculated across 30 model runs Metric Average Upper Bound (99% Confidence) Lower Bound (99% Confidence) Inventory Turns 10.9 11.0 10.8 Cycle Time, min 278 387 169
  • 18. 18 DFMA Considerations (1 of 12) Part Count Reduction  During operation of the product, does the part move relative to all other parts already assembled?  Must the part be of a different material than or be isolated from all other parts already assembled?  Must the part be separate from all other parts already assembled because otherwise necessary assembly of other separate parts would be impossible?
  • 19. 19 DFMA Considerations (2 of 12)  Part count reduced from 92 to 42  Example: Display Mounting Ring and LCD Ring Neck  Injection Mold the neck and ring in once piece  The result, 42, is Nmin in the DFA Index (next)
  • 20. 20 DFMA Considerations (3 of 12)  DFA Index Calculation assemblycompletetotimeestimatedt partonefortimeassemblybasict partsofnumberltheoreticalowestN IndexDFAE where ttNE ma a ma maama      min min , /
  • 21. 21 DFMA Considerations (4 of 12)  ta calculation Boothroyd assumes 3 seconds Assumes no knowledge of actual process Attempt to find a basic assembly time tailored to this particular design
  • 22. 22 DFMA Considerations (5 of 12)  ta calculation First Attempt: DFA Index Greater than One timecycletheofdevst designbaselineinpartsofnumberactualN cameraonebuildtorequiredtimeCT where N CT t CT actual actual CT a .. , 282.1       
  • 23. 23 DFMA Considerations (6 of 12)  ta calculation Second Attempt: Data not Normal steppertimeassemblyestimatedtheofdevst steppertimeassemblyestimatedaveraget where tt estimated averageestimated estimatedaverageestimateda .. , 282.1 , ,     
  • 24. 24 DFMA Considerations (7 of 12)  ta calculation Second Attempt: Data not Normal Assembly Times, seconds Percent 2520151050-5 99 95 90 80 70 60 50 40 30 20 10 5 1 Mean <0.005 7.355 StDev 5.435 N 30 AD 1.967 P-Value Normality Test of the Assembly Times Normal
  • 25. 25 DFMA Considerations (8 of 12)  ta calculation Third Attempt: Log-normal Successful Log of Assembly Times Percent 1.61.41.21.00.80.60.40.20.0 99 95 90 80 70 60 50 40 30 20 10 5 1 0.411 10 Mean 0.542 0.7733 StDev 0.2824 N 30 AD 0.307 P-Value Normality Test of the Log of Assembly Times Normal
  • 26. 26 DFMA Considerations (9 of 12)  ta calculation Third Attempt: Log-normal Successful Log of Assembly Times Percent 1.61.41.21.00.80.60.40.20.0 99 95 90 80 70 60 50 40 30 20 10 5 1 0.411 10 Mean 0.542 0.7733 StDev 0.2824 N 30 AD 0.307 P-Value Normality Test of the Log of Assembly Times Normal   58.2411.0 411.0log 10 10   x x
  • 27. 27 DFMA Considerations (10 of 12) EASY TO ALIGN NOT EASY TO ALIGN EASY TO ALIGN NOT EASY TO ALIGN EASY TO ALIGN NOT EASY TO ALIGN 0 1 2 3 4 5 NO ACCESS OR VISION DIFFICULTIES 0 1.5 3 2.6 5.2 1.8 3.3 OBSTRUCTED ACCESS OR RESTRICED VISION 1 3.7 5.2 4.8 7.4 4 5.5 OBSTRUCTED ACCESS AND RESTRICTED VISION 2 5.9 7.4 7 9.6 7.7 7.7 COPYRIGHT 1999 BOOTHROYD DEWHURST, INC. SECURED BY SEPARATE OPERATION OR PART NO HOLDING DOWN HOLDING DOWN SECURED ON INSERTION BY SNAP FIT  tma Calculation: Insertion Time Estimate
  • 28. 28 DFMA Considerations (11 of 12) < 2mm < 2mm SIZE > 15mm 6mm < SIZE < 15mm SIZE > 6mm SIZE > 15mm 6mm < SIZE < 15mm SIZE > 6mm 0 1 2 3 4 5 SYM < 360 0 1.13 1.43 1.69 1.84 2.17 2.45 360 ≤ SYM < 540 1 1.5 1.8 2.06 2.25 2.57 3 540 ≤ SYM < 720 2 1.8 2.1 2.36 2.57 2.9 3.18 SYM = 720 3 1.95 2.25 2.51 2.73 3.06 3.34 FOR PARTS THAT CAN BE GRASPED AND MANIPULATED WITH ONE HAND WITHOUT THE AID OF GRASPING TOOLS COPYRIGHT 1999 BOOTHROYD DEWHURST, INC. NO HANDLING DIFFICULTIES PART NESTS OR TANGLES THICKNESS > 2mm THICKNESS > 2mm  tma Calculation: Acquisition Time Estimate
  • 29. 29 DFMA Considerations (12 of 12)  tma calculation: Sum all estimates ta, s tma, s Nmin Ema Baseline Design 2.58 2273 33 0.04
  • 31. 31 Clean Room Flow Hoods Ramp and Loading Dock Warehouse 48' 8 x 45 Clean Room (Future) General Manufacturing 70 X 50 20 X 18 Sink 40 x 45 ShopBiohazard LabHall Lech Scott Rosanna Mark Endogo Work Station Receiving Receiving Rack Endogo Rack           Distance Calculations (1 of )  1 – Entry  2 – Receiving Rack  3 – Receiving  4 – Receiving Rack  5 – Inspection  6 – Receiving Rack  7 – Storage  8 – Machining  9 – Assembly  10 – Ship 25,500 feet
  • 32. 32 Clean Room Flow Hoods Ramp and Loading Dock Warehouse 48' 8 x 45 Clean Room (Future) General Manufacturing 70 X 50 20 X 18 Sink 40 x 45 ShopBiohazard LabHall Lech Scott Rosanna Mark Endogo Work Station Receiving Receiving Rack Endogo Rack Distance Calculations (1 of )  1 – Entry  2 – Receiving/Inspection  3 – Receiving Rack  4 – endogo® Worksation     4,840 feet
  • 34. 34 Workstation Changes  Contain all parts on the workbench rather than in the storage rack  Do not “kit” each camera in the same bin  Organize each part bin in order of assembly  Mark bins with part number and picture bin
  • 36. 36 DFA Index Values ta, s tma, s Nmin Ema Baseline Design 2.58 2273 33 0.04 New Design 2.58 221 33 0.4  tma estimated primarily by way of Boothroyd techniques  10-fold decrease in tma led to 10-fold increase in DFA Index  The ideal would take 85 seconds to assemble
  • 38. 38 Quality Estimates    assemblyperoperationsofnumbern soperationpertimeassemblyestimatedDFAaveraget assemblyperdefectofyprobabilitD where tforD tfortD i a ia i n ia      , , 3,0 3,30001.011 n ti, seconds Da, ppm Baseline Design 76 30 190,000 New Design 29 7.0 12,000
  • 40. 40 Material and Process Selection  Dimensionless Ranking rd parametethe derived to formhat is useExponent tm determinedis beinghe N-valueor which tmaterial ftheofpropertynP sg materialengineerinof commonrangeaforparameterderivedLowestD sg materialengineerinof commonrangeaforparameterderivedHighestD parameterDerivedD PPPD where DDDDN n thn m n mm n        min max 21 minmax10min10 21 , )/(log/)/(log100  Derived Parameter Description Exponents m1 m2 m3 m4 m5 Best YT at Minimized Weight and $ -1 1 0 0 -2 Best YC and Minimized Weight and $ -1 0 0 1 -2 Best Beam/Plate Strength at Minimized Weight and $ -1 1/2 0 0 -2 Best Stiffness at Minimized Weight and $ -1 0 1/3 0 -2
  • 41. 41 Initial broad group of candidate materials Cost Tensile Yield Strength Elastic Modulus Compressive Yield Strength Density $/kg MN/m2 MN/m2 MN/m2 kg/m3 Gray Cast Iron 3.32E-01 2.93E+02 1.34E+05 2.93E+02 7.21E+03 Ductile Iron 4.08E-01 4.48E+02 1.65E+05 3.10E+02 7.13E+03 Malleable Iron 4.85E-01 3.45E+02 1.60E+05 3.45E+02 7.38E+03 Mild Steel 1.15E+00 2.62E+02 2.07E+05 2.62E+02 7.77E+03 Alloy Steel 7.14E+00 1.38E+03 2.07E+05 1.38E+03 7.85E+03 Stainless Steel 3.19E+00 2.48E+02 1.93E+05 2.48E+02 8.04E+03 Al (High Strength) 6.12E+00 1.93E+02 7.10E+04 1.93E+02 2.75E+03 Beryllium Copper 4.46E+01 1.10E+03 1.28E+05 1.10E+03 8.27E+03 Copper, Hard 3.32E+00 3.10E+02 1.17E+05 3.10E+02 8.96E+03 Magnesium 8.93E+00 2.34E+02 4.48E+04 2.34E+02 1.80E+03 Titanium 3.11E+01 9.45E+02 1.13E+05 9.45E+02 4.74E+03 Lead 3.32E+00 2.00E+01 1.52E+04 2.00E+01 1.14E+04 Epoxy 6.12E+00 6.55E+01 3.10E+03 2.48E+02 1.91E+03 HDPE 1.39E+00 2.48E+01 8.27E+02 2.48E+01 9.71E+02 Polycarbonate (Glass- reinforced) 2.45E+00 1.59E+02 1.16E+04 1.45E+02 1.53E+03 Rubber 4.03E+00 2.76E+01 4.59E+00 2.76E+01 9.71E+02 Polyurethane Foam 2.04E+00 1.52E+01 1.08E+02 1.72E+01 4.99E+02 Particle Board 4.08E-01 1.55E+01 2.93E+03 1.45E+01 6.10E+02 Pine 2.38E+00 7.93E+01 8.27E+03 3.31E+01 3.61E+02 Diamond 8.42E+02 2.69E+02 1.03E+06 4.00E+03 3.52E+03 Silicon Carbide (Sintered) 7.65E+01 6.90E+01 3.31E+05 1.03E+03 2.97E+03 Tungsten Carbide 3.06E+02 8.96E+02 5.39E+05 4.95E+03 1.33E+04 Glass 3.83E-01 9.17E+01 7.31E+04 1.38E+03 2.47E+03 Pottery 7.65E-01 3.31E+01 7.03E+04 5.00E+02 2.22E+03 Concrete 1.53E-01 1.65E+00 3.00E+04 2.48E+01 2.50E+03 Cork 1.74E+00 1.00E+00 2.00E+01 1.00E+00 1.39E+02 Al-Li (2090) 1.66E+02 4.55E+02 6.90E+04 4.55E+02 2.55E+03
  • 42. 42 Stiffest at minimum weight and cost Strongest in Tension at minimum weight and cost Stiffest Material at Minimum Weight and Cost Strongest Tension Member at Minimum Weight and Cost Particle Board 100 Pine 100 Cork 99 Particle Board 90 Pine 97 Glass 81 Concrete 90 Polyurethane Foam 78 Glass 85 Cork 78 Pottery 81 Polycarbonate (Glass- reinforced) 77 Polyurethane Foam 79 Ductile Iron 74 Polyethylene (high-density) 77 Polyethylene (high-density) 73 Polycarbonate (Glass- reinforced) 71 Gray Cast Iron 72 Gray Cast Iron 69 Malleable Iron 69 Ductile Iron 68 Pottery 65 Malleable Iron 65 Magnesium 64 Magnesium 61 Rubber 63 Al (High Strength) 58 Al (High Strength) 57 Mild Steel 57 Mild Steel 56 Epoxy 55 Alloy Steel 54 Rubber 51 Epoxy 54 Stainless Steel 47 Concrete 48 Copper, Hard 44 Titanium 46 Alloy Steel 41 Stainless Steel 44 Silicon Carbide (Sintered) 38 Copper, Hard 44 Titanium 35 Aluminum-Lithium Alloys (2090) 34 Lead 33 Beryllium Copper 32 Aluminum-Lithium Alloys (2090) 29 Silicon Carbide (Sintered) 19 Beryllium Copper 22 Lead 11 Diamond 17 Diamond 5 Tungsten Carbide 0 Tungsten Carbide 0
  • 43. 43 Strongest in compression at minimum weight and cost Strongest beam at minimum weight and cost Strongest Compression Member at Minimum Weight and Cost Strongest Beam or Plate at Minimum Cost and Weight Glass 100 Cork 100 Pottery 84 Pine 100 Pine 82 Particle Board 99 Particle Board 81 Polyurethane Foam 88 Polyurethane Foam 70 Glass 82 Cork 68 Polyethylene (high-density) 81 Concrete 67 Polycarbonate (Glass- reinforced) 76 Polycarbonate (Glass- reinforced) 67 Pottery 73 Polyethylene (high-density) 64 Rubber 72 Gray Cast Iron 62 Concrete 72 Ductile Iron 61 Ductile Iron 69 Malleable Iron 60 Gray Cast Iron 69 Epoxy 58 Malleable Iron 66 Magnesium 55 Magnesium 63 Rubber 53 Epoxy 60 Al (High Strength) 48 Al (High Strength) 58 Mild Steel 47 Mild Steel 56 Alloy Steel 45 Alloy Steel 46 Silicon Carbide (Sintered) 37 Stainless Steel 45 Titanium 36 Copper, Hard 44 Stainless Steel 34 Titanium 40 Copper, Hard 34 Aluminum-Lithium Alloys (2090) 33 Aluminum-Lithium Alloys (2090) 23 Silicon Carbide (Sintered) 28 Diamond 22 Beryllium Copper 27 Beryllium Copper 22 Lead 27 Tungsten Carbide 7 Diamond 10 Lead 0 Tungsten Carbide 0
  • 44. 44 Full list of candidate polymersCost Tensile Yield Strength Elastic modulus Density Autoclave? $/kg MN/m2 MN/m2 kg/m3 Polyethylene (high-density) 1.39 24.8 1080 971 No Polycarbonate (30% Glass- reinforced) 2.45 118 11600 1433 Yes Elastomer - Nitrile Elastomer - SBR Elastomer - Thermoplastic For design simplification, elastomers will not be used. Buttons will be of the same material as the case. Epoxy Epoxy was lower rated than HDPE in initial screening. Typically used in composites. This is also a thermoset. Nylon 6,6 1.79 69 2515 1140 No Phenolic Brittle thermoset Polycarbonate (PC) 2.45 63.8 7580 1200 Yes Polyester (thermoset) Thermoset PEEK Not injection moldable and is very expensive LDPE 1.79 11.75 225 924.5 No UHMWPE 2.49 24.5 690 940 ? PET 2.82 59.3 3450 1345 ? PMMA Transparent Polypropylene(PP) 1.81 32.6 1345 931 Yes PS Relatively brittle and transparent PTFE Poor cold flow properties PVC 1.98 42.75 3250 1440 No Silicone, flexible cast Not injection moldable Heat Resistant ABS 2.19 43.5 2200 990 Yes Acrylic Transparent Acetal 3.09 66 3800 1465 No
  • 45. 45 Final list of candidate polymers Compared relative to one another Some compared but not listed: High Density Polyethylene Nylon 6,6 Low Density Polyethylene Polyvinyl Chloride Acetal Tension Beam or Plate Strength Stiffest Beam Average Polycarbonate (30% Glass- reinforced) 73 29 65 56 Polycarbonate (PC) 64 39 76 60 Ultra-high Molecular Weight Polyethylene (UHMWPE) 62 69 81 71 Polyethylene Terephthalate (PET) 65 43 70 59 Polypropylene (PP) 100 100 100 100 Heat Resistant Acrylonitrile butadiene styrene (ABS) 98 89 95 94
  • 47. 47 New Design Extend Model  Fundamental structure remains the same  Reduction of the number of steps due to part count reduction  Elimination of “pre-work”  Reduction of re-work
  • 48. 48 Baseline Extend Model Results 0 5000 10000 15000 20000 25000 30000 35000 40000 45000 50000 55000 60000 0 3.05 6.1 9.15 12.2 15.25 18.3 21.35 24.4 27.45 30.5 33.55 36.6 39.65 42.7 45.75 48.8 51.85 54.9 57.95 61 TIME, MINUTES CAMERAS Model Output, Baseline TOTAL STOCK WIP True INVENTORY
  • 49. 49 New Extend Model Results 0 5000 10000 15000 20000 25000 30000 35000 40000 45000 50000 55000 60000 0 0.95 1.9 2.85 3.8 4.75 5.7 6.65 7.6 8.55 9.5 10.45 11.4 12.35 13.3 14.25 15.2 16.15 17.1 18.05 19 TIME, MINUTES NUMBER OF CAMERAS Model Output, New Design TOTAL STOCK TOTAL WIP INSTANTANEOUS I… INVENTORY AVERA…
  • 50. 50 Results Summary Metric Average Inventory Turns 16.4 Baseline Design Cycle Time, min 267 Inventory Turns 107 New Design Cycle Time, min 111 Inventory Turns  30 Target Cycle Time, min ≤ 120 n ti, seconds Da, ppm Baseline Design 76 30 190,000 New Design 30 7.0 12,000 Target - - ≤ 44,000 Distance, feet Baseline Design 25,500 New Design 4,840 Target ≤ 5,000
  • 51. 51
  • 52. 52
  • 53. 53 Deliverables  Product design changes  Process design changes  Material selection changes  Inventory Turns estimation for baseline and new design  Quality estimation for baseline and new design  Distance estimation for baseline and new design  Cycle Time estimation for baseline and new design  Extend® - based model of manufacturing processes for baseline and new design  Final report  Final defense briefing
  • 54. 54 Weighting Matrix Metrics OWC Set-Up Time Quality Space Ratio Inventory Flexibility Distance Uptime Weight Price        1 Quality        10 Lead Time        1 Delivery Reliability        2 Flexibility        0 Innovation        0 Size        0 Design Leadership        0 BACK
  • 55. 55 OWC BACK Order-Winning Criterion Definition Price The cost to the consumer of the product under consideration. Quality The perceived quality by the consumer of the product under consideration. Lead Time The duration of time from the moment the consumer orders the product under consideration to the moment of consumer receipt. Delivery Reliability The repeatability of lead time. Flexibility The number of parts that can be produced on the same machine. Innovation Ability An organization’s capacity for producing new marketable products. Size The volume of the product under consideration. Design Leadership An organization’s capacity for transforming concepts into finished products.
  • 56. 56 Metrics Identified for Project BACK Metric Weighted Score Redesign Target Inventory 14  30 turns Quality 11 Captured and Warranty: ≤ 44000 ppm Distance 11 ≤ 5000 feet Cycle Time – ≤ 120 minutes
  • 58. 58 Metric Units Definition Inventory Inventory Turns Inventory Turns for a product is equal to the cost of goods sold divided by the average inventory value Flexibility number of parts The number different parts that can be produced on the same machine. Distance feet The measure of the total linear feet of a part’s travel through the plant from raw material in receiving to finished products in shipping. This includes the sum of the individual routes of each subassembly. For example, if a plant manufactures a paper cup, the side of the cup travels 10 feet to get to the location where it is mated to the bottom. The bottom at that point has also traveled 10 feet. After the two are mated, it travels another 10 feet to be given a finish and then to shipping. The total Distance is then 30 feet. Uptime percent The percentage of time a machine is producing to specifications compared to the total time that production can be scheduled. Metrics (continued) BACK
  • 60. 60 Dimensionless Ranking rd parametethe derived to formhat is useExponent tm valuethe lowestat it hasexcept thSame as PP ialsring materon engineege of commfor a ranhest valueas the higial that hof a materpropertynP determinedis beinghe N-valueor which tmaterial ftheofpropertynP propertiesvaluedlowesttheofallofncombinatiothewithparameterDerivedD propertiesvaluedhighesttheofallofncombinatiothewithparameterDerivedD parameterDerivedD PPPD PPPD PPPD where DDDDN n n,n thn thn m n mm m n mm m n mm n n n            maxmin, max, min max min,min,2min,1min max,max,2max,1max 21 minmax10min10 21 21 21 , )/(log/)/(log100    BACK
  • 61. 61 Dimensionless Ranking Example  Five parameters form derived parameters 1. Cost, $/kg 2. Tensile Yield Strength, MN/m2 3. Elastic Modulus, MN/m2 4. Compressive Yield Strength, MN/m2 5. Density, kg/m3 BACK
  • 62. 62  Most likely derived parameter will be “best tensile yield strength at minimized cost” Using previous numbering convention and dimensionless parameter equation: m2 = 1, m1 = m5 = -1, and m3 = m4 = 0 This produces the derived parameter:  Yt /r Cm Dimensionless Ranking Example BACK
  • 63. 63 Dimensionless Ranking Example BACK m1 m2 m3 m4 m5 -1 1 0 0 -1 Cost Tensile yield str. Elastic modulus Compressive yield str. Density Derived parameter N $/kg MN/m2 MN/m2 MN/m2 kg/m3 Pmax 7.26E+02 1.38E+03 1.03E+06 4.95E+03 1.33E+04 1.43E-04 100 Pmin 1.32E-01 1.00E+00 4.95E+00 1.00E+00 1.39E+02 5.45E-02 0 Polyethylene (high-density) 7.48E-01 2.48E+01 8.27E+02 2.48E+01 9.71E+02 3.41E-02 8 Titanium 2.68E+01 9.45E+02 1.13E+05 9.45E+02 4.74E+03 7.44E-03 34
  • 64. 64 Part-count Reduction  During operation of the product, does the part move relative to all other parts already assembled?  Must the part be of a different material than or be isolated from all other parts already assembled?  Must the part be separate from all other parts already assembled because otherwise necessary assembly of other separate parts would be impossible? BACK
  • 67. 67 Probability of Defect (Entire Assembly)    assemblyperoperationsofnumbern soperationpertimeassemblyestimatedDFAaveraget assemblyperdefectofyprobabilitD where tforD tfortD i a ia i n ia      , , 3,0 3,30001.011 BACK