measurement of fly rod spines graig spolek. modern fly rods hollow, tubular, and tapered...
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![Page 1: Measurement of Fly Rod Spines Graig Spolek. Modern fly rods Hollow, tubular, and tapered Manufactured of carbon fiber reinforced plastic Formed by layering](https://reader035.vdocuments.us/reader035/viewer/2022081501/56649d615503460f94a4229e/html5/thumbnails/1.jpg)
Measurement of Fly Rod Spines
Graig Spolek
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Modern fly rods
• Hollow, tubular, and tapered
• Manufactured of carbon fiber reinforced plastic
• Formed by layering pre-preg (graphite imbedded cloth) around a mandrel
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Mandrel
Pre-Preg
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Finished Rod Exhibits:
•Variable Diameter
•Variable Wall Thickness
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Increasing Wall Thickness
Wall thickness adjusted by varying overlap of pre-preg
3 wraps 3 ¼ wraps 3 ½ wraps
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Rod Spine
• Preferential plane of bending
• Align rod hardware to maintain bending during fish fighting that causes static bend in rod.
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Rod Resists Bending in this Direction
Rod Freely Bends in this Direction
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Increasing Wall Thickness
NoSpine
IncreasingSpine
MaximumSpine
DecreasingSpine
NoSpine
3 wraps 3 ¼ wraps 3 ½ wraps
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Push Down Here
Hold Tip
Rotate Rod
Rest Rod Butt on Floor
Method for Location of Rod Spine
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Method for Location of Rod Spine
• Static test
• Yields average spine orientation over whole rod
• Maximum influence of spine orientation at point of maximum deflection
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Measurement of Rod Spines
• Measures local spine
• Measures magnitude of spine by comparing maximum and minimum force required for specified deflection
• Allows location of spine orientation
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F
L
AxialRotation
Rod
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Model of Spine Due to Pre-Preg Overlap
• Develop model of material distribution
• Calculate Moment of Inertia (I) due to distribution of material
• Accommodate different orientation
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Model Inputs
• Measured from actual production rods
• Outside diameter - DO
• Wall Thickness - t
• Angle of Layer Overlap - θ
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Do
θ t
Outside diameter - DO
Wall Thickness - t
Angle of Layer Overlap - θ
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Comparison of rod section to model
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yi
dAi
dAyI 2
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yi
dAi
ii dAyI 2
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MODEL RESULTS
F
L
3L
IECF
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MODEL RESULTS
min
max
min
max
I
I
F
F
C, δ, E, L = constant
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COMPARISON: MODEL & EXPERIMENT
min
max
I
I
Experiment measures:
Model predicts:
min
max
F
F
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RESULTS
1 2 3 4
Point Rod 123 Rod 114 Rod 117 Rod 118 Rod 122
Expt Model Overlap Expt Model Overlap Expt Model Overlap Expt Model Overlap Expt Model Overlap
1 1.20 1.11 120 1.14 1.08 45 1.04 Missing Missing 1.11 1.07 120 1.13 1.10 80
2 1.13 1.14 90 1.16 1.10 60 1.15 1.05 150 1.18 1.11 90 1.10 1.12 105
3 1.10 1.13 60 1.14 1.09 75 1.06 1.00 180 1.06 1.09 50 1.11 1.09 245
4 1.10 1.09 30 1.12 1.12 120 1.08 1.05 150 1.04 1.04 15 1.06 Missing Missing
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QUESTION: Do these agree?
Can the differences be attributed to measurement uncertainty or is the model incorrect?
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,, tDfI o
21
222
I
t
I
D
ItD
oI o
Uncertainty in Moment of Inertia
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Estimate for Partial Derivative
ii X
R
X
R
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For small individual uncertainties
iXiX
iii XXi
Xi
RX
R
X
R
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So the uncertainty in I can be estimated by the root mean square of the finite perturbations in I, ΔI, due to the measurement uncertainties
21222
IIItDoI
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Do
θ t
Outside diameter - DO = 0.350” ± 0.003”
Wall Thickness - t = 0.028” ± 0.004”
Angle of Layer Overlap - θ = 90º ± 5º
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Estimate of ΔImax
DO t (n=4) θ Imax (*10-5) ΔI
0.350” 0.028” 90º 1791 0
0.347” 0.028” 90º 1741 50
0.350” 0.028” 85º 1790 1
0.350” 0.032” 90º 1855 64
8164150 21
222
maxI
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Estimate of ΔImin
DO t (n=4) θ Imin (*10-5) ΔI
0.350” 0.028” 90º 1623 0
0.347” 0.028” 90º 1577 46
0.350” 0.028” 85º 1615 8
0.350” 0.032” 90º 1675 52
7052846 21
222
maxI
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The final result is the ratio of the inertia values
21
2
min
2
max
min
max
minmax
IIRatio
I
IRatio
IIRatio
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Substituting values
0625.01623
70
1791
81
10.11623
1791
21
22
Ratio
Ratio
Ratio
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Final value for ωRatio
069.010.1
069.00625.0*10.1
Ratio
Ratio
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Comparison of Model and Experiment
Model Uncertainty: ± 6.26%
Experimental Uncertainty: ± 5%
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ROD 114
1.00
1.05
1.10
1.15
1.20
1.25
0 1 2 3 4 5
Expt
Model
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END