Do Static Weights Really Matter?
46
Do Static Weights Really Matter? Bowl Expo Monday, June 27, 2011
description
Do Static Weights Really Matter?. Bowl Expo Monday, June 27, 2011. From Ball Motion Study. Roll y = mx + b. Skid y = -mx + b. Hook y = ax 2 + bx + c. Full Factorial Designs. Fractional Factorial Designs. # of runs = 2 k – n 6 Factor Half Fractional 2 6 – 1 = 32 Runs. - PowerPoint PPT Presentation
Transcript of Do Static Weights Really Matter?
Do Static Weights Really Matter?
Bowl ExpoMonday, June 27, 2011
SR
- Ra
On-
Lane
CO
F
SR
- RS
Dry
Lan
e C
OF
Oil
Abs
orpt
ion
RG
Tota
l Diff
eren
tial
Spi
n Ti
me
Dia
met
er
Sid
e W
eigh
t
Int.-
Diff
Oil
@ 3
2'
Roo
m H
umid
ity
Oil
@ 8
'
Top
Wei
ght
Roo
m T
emp.
Thum
b W
eigh
t
Lane
Tem
p.
0
100
200
300
400
500
600
700
800
900
x-variable Influence on Overall Ball Motion
X- variables
Wei
ghte
d Po
ints
bas
ed o
n P-
Valu
e
From Ball Motion Study
Ball Path
0
5
10
15
20
25
30
35
40
0 5 10 15 20 25 30 35 40 45 50 55 60 65
Feet
Boa
rds
Skid
y = -mx + bHook
y = ax2 + bx + c
Roll
y = mx + b
Full Factorial Designs
# of runs = 2k
• 6 Factor Full Factorial• 26 = 64 runs
Fractional Factorial Designs
# of runs = 2k – n
• 6 Factor Half Fractional• 26 – 1 = 32 Runs
• Sparsity of effects principle• Higher order interactions are very rare
• Resolution 6• Main Effects confounded with 5-way• 2-way confounded with 4-way, 3-way• 3-way confounded with other 3-way
Resolution and Confounding
6 Factor – Half Fraction DOE 26 - 1
A center point was also ran.
6 Factor – Half Fraction DOE 26 - 1
From Ball Motion Study
Ball Path
0
5
10
15
20
25
30
35
40
0 5 10 15 20 25 30 35 40 45 50 55 60 65
Feet
Boa
rds
Skid
y = -mx + b Hook
y = ax2 + bx + c
Roll
y = mx + b
6 Factor, Half Fraction DOE
6 Factor, Half Fraction DOE
6 Factor, Half Fraction DOE
6 Factor, Half Fraction DOE
6 Factor, Half Fraction DOE
6 Factor, Half Fraction DOE
6 Factor, Half Fraction DOE
6 Factor, Half Fraction DOE
Our Understanding of Ball Motion
Side
Top/Bottom
Finger/Thumb
-5.875 5.875-3.75
3.75
3.75
-3.75
-1 -
3 3
1-1
1
Phase II – Response Surface Design
• Factorial Design
• Center point
• Axial Points
3 Factor Central Composite Design
Test Ball Data
3 Factor Central Composite DOE
0 10 20 30 40 50 600
5
10
15
20
25
30
35
40
f(x) = − 0.0155288615067752 x² + 1.62725345816014 x − 34.7536766914041R² = 0.99878208633875
f(x) = 0.0622499999999999 x + 4.84525R² = 0.958358451194064
f(x) = 0.0165370046620046 x² − 1.01190792540792 x + 21.1442403846153R² = 0.979386018123757
f(x) = − 0.446857142857143 x + 16.3912857142857R² = 0.996491842714458
Ball Motion
FEET
Boar
ds
0 10 20 30 40 50 600
5
10
15
20
25
30
35
40
f(x) = 0.522706714612398 x − 15.2116230016914R² = 0.999306081365045
f(x) = 0.0222023809523808 x² − 1.41934523809523 x + 26.8900595238094R² = 0.983032613052637
f(x) = − 0.474857142857143 x + 16.4491428571429R² = 0.996004210648723
Ball Motion
Feet
Boar
ds3 Factor Central Composite DOE
0 10 20 30 40 50 600
5
10
15
20
25
30
35
40
f(x) = − 0.00816951825918429 x² + 0.808199257830348 x − 13.9947475423809R² = 0.989587936589872
f(x) = 0.0474999999999999 x + 3.83250000000001R² = 0.93041237113402
f(x) = 0.00906994047619032 x² − 0.611547619047608 x + 15.5716741071427R² = 0.924087739790673
f(x) = − 0.388319672131148 x + 15.6756967213115R² = 0.992906746808845
Ball Motion
Feet
Boar
ds
3 Factor Central Composite DOE
Influence to Overall Ball Motion - Central Composite
Ball Path
0
5
10
15
20
25
30
35
40
0 5 10 15 20 25 30 35 40 45 50 55 60 65
Feet
Boa
rds
Skid
y = -mx + bHook
y = ax2 + bx + c
Roll
y = mx + b
Terms
ABC
AABBCCABACBC
Intended Path at 49’
XXX
Intended Path at 60’
XXXX
Average Path at 49’
XXXX
Ball Path
0
5
10
15
20
25
30
35
40
0 5 10 15 20 25 30 35 40 45 50 55 60 65
Feet
Boa
rds
Skid
y = -mx + bHook
y = ax2 + bx + c
Roll
y = mx + b
Terms
ABC
AABBCCABACBC
Vel Dec at 49’
XX
Δ in Angle to HP at 49’
XX
1st Transition
XX
X
Ball Path
0
5
10
15
20
25
30
35
40
0 5 10 15 20 25 30 35 40 45 50 55 60 65
Feet
Boa
rds
Skid
y = -mx + bHook
y = ax2 + bx + c
Roll
y = mx + b
Terms
ABC
AABBCCABACBC
2nd Transition Skid Slope
X
X
Roll Slope
XX
Ball Path
0
5
10
15
20
25
30
35
40
0 5 10 15 20 25 30 35 40 45 50 55 60 65
Feet
Boa
rds
Skid
y = -mx + bHook
y = ax2 + bx + c
Roll
y = mx + b
Terms
ABC
AABBCCABACBC
Total Angular Displacement
XXX
X
Hook Length A Score
XXX
Ball Path
0
5
10
15
20
25
30
35
40
0 5 10 15 20 25 30 35 40 45 50 55 60 65
Feet
Boa
rds
Skid
y = -mx + bHook
y = ax2 + bx + c
Roll
y = mx + b
Terms
ABC
AABBCCABACBC
Breakpoint
XX
1st Transition to BP
XX
X
2nd Transition to BP
“Center Point” AnalysisWithin the -1 oz to +1 oz box
“Center Point” Analysis
Average at 49’2.274
Average at 60’4.268
Intended at 60’4.06
Roll Slope0.1602
8.12 boards 8.536 boards 4.548 boards 0.3204 (1.6364°)
Coefficient
Influence
From -1 oz to 1 oz of Side Weight
“Center Point” Analysis
(60, 22.88)
(60, 14.94)
SR
- Ra
On-
Lane
CO
F
SR
- RS
Dry
Lan
e C
OF
Oil
Abs
orpt
ion
RG
Tota
l Diff
eren
tial
Spi
n Ti
me
Dia
met
er
Sid
e W
eigh
t
Int.-
Diff
Oil
@ 3
2'
Roo
m H
umid
ity
Oil
@ 8
'
Top
Wei
ght
Roo
m T
emp.
Thum
b W
eigh
t
Lane
Tem
p.
0
100
200
300
400
500
600
700
800
900
x-variable Influence on Overall Ball Motion
X- variables
Wei
ghte
d Po
ints
bas
ed o
n P-
Valu
e
Influence to Overall Ball Motion - Central Composite
