2012 Japan-Taiwan iGO Symposium at NUU December 10-11,2012 Gear Design Method to contribute Global...
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2012 Japan-Taiwan iGO Symposium at NUUDecember 10- 11,2012 Gear Design Method to contribute Global Environment and Resource Saving Oita National College of Technology Yusuke HASHIM TO 1/19 J09
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Transcript of 2012 Japan-Taiwan iGO Symposium at NUU December 10-11,2012 Gear Design Method to contribute Global...
2012 Japan-Taiwan iGO Symposium at NUU December 10-11,2012
Gear Design Method to contribute Global Environment and Resource Saving
Oita National College of Technology
Yusuke HASHIM TO
1/19
J09
1. Introduction
2/19
1. Introduction
High Reliability
Certainty
3/19
1. Introduction
Key
Shaft
Keyway
Gear
Minimum Length
ℓc
Tooth Bottom
Bending Stress
σ
Empirical Formula : ℓc >0.7πmm: Gear Module
Too large stress may lead to tooth failure.
4/19
Downsizing
Lightening
1. Introduction
5/19
1. Introduction
Iron Ores Mining in AUSTRALIA
Oil Drilling in CHINA
Resource Saving
6/19
To suggest a newly formula ofminimum length ℓc of gear with keyway
1. Introduction
Object:
Minimum Lengthℓc
Bending Stress(Tensile)
Bending Stress (Compressive)Gears meshing Load
Fn
7/19
2. Methods of Experiment and Simulations
8/19
Standard Spur Gear
Module m 6
Gear Teeth Number z 14
Pressure Angle α 20°
Tooth Width B 10mm
Pitch Circle Diameter Dp 84mm
Tooth Bottom Circle Diameter
Da 69mm
Material S45C
2. Method of Experiment and Simulation
2.1 Gear SpecificationsDp
Da
B
ℓd
d=28d=36
d=44d=48
d=52
ℓ =17.2mm ℓ =4.3mm
※Keyways are based on JIS(Japan Industrial Standard) 9/19
Center Line
30°
Critical Section
30 degree tangent
Fillet Curve
2. Method of Experiment and Simulation
(1) Stress Measurement Point(2) Load Point and Value
2.2 Conditions
BA
10/19
2. Method of Experiment and Simulation
(1) Stress Measurement Point(2) Load Point and Value
2.2 Conditions
πm cos α
Load Point
Fn =4000N
ＡＢ
Limit Fatigue StressBending Stress(Tensile)
Bending Stress(Compressive)
11/19
2. Method of Experiment and Simulation
2.3 Experiment
Strain GaugesA
B
Fn=4000N
12/19
2.4 FEM Analysis
2. Method of Experiment and Simulation
(1) Whole Gear Model
Elements Number: 133075Nodes Number: 211590
Elements Number: 97673Nodes Number: 155922
Elements Number: 113454Nodes Number: 182092
(2) Half Gear Model(3) Gear-Shaft Assembly Model
■: Fixed Geometry, Fixtures Type ■: Roller/Slider, Fixtures Type
■: Apply Mesh Control ■: No Penetration, Contact TypeTo analyze by the best suitable model for experiment results
Gear hole diameter: d =28~52mm per 1mm intervals .13/19
3. Results and Discussion
14/19
28 36 44 48 52-800
-400
0
400
800
Experiment （ Tensile ）Experiment （ Compressive ）
d [mm]
σ [
MP
a]
3. Results and Discussion
3.1 Experiment and FEM Analysis Results
Experiment
d=28d=36
d=44d=48
d=52
Constant
Increase Tendency
Influence Point of Keyway
Bending Stress(Tensile)
Bending Stress(Compressive)
Minimum Dimensionℓc
d
Fn
15/19
28 36 44 48 52-800
-400
0
400
800
Assembly model （ Tensile ）Assembly model （ Compressive ）
d [mm]
σ [
MP
a]
28 36 44 48 52-800
-400
0
400
800
Experiment （ Tensile ）
d [mm]
σ [
MP
a]
28 36 44 48 52-800
-400
0
400
800
Whole gear model （ Tensile ）Whole gear model （ Compressive ）
d [mm]
σ [
MP
a]
Gear-Shaft Assembly Model
28 36 44 48 52-800
-400
0
400
800
Half gear model （ Tensile ）Half gear model （ Compressive ）
d [mm]
σ [
MP
a]
Gear-Shaft Assembly Model
3. Results and Discussion
3.1 Experiment and FEM Analysis Results
σ=61d-108σ=160d-711
σ=60.5d-107 σ=88d-272
Half Gear Model
Whole Gear ModelExperiment
16/19
3. Results and Discussion
28 30 32 34 36 38 40 42 44 46 48 50 52-800-600-400-200
0200400600800
Tensile stress Compressive stress
d [mm]
σ [
MP
a]
3.2 Simulation Result by the Gear-Shaft Assembly Model
ℓc >0.7πm ℓc >0.57πm
A possibility of 19% smaller design than gears up to now is confirmed.
TensileStress
CompressiveStress
ℓ
d
Fn
ℓc =10.7mm, m =6 ⇒ ℓ c =0.57πm
17/19
4. Conclusions
18/19
4. Conclusions
To suggest a newly formula of minimum length ℓc of gear with keyway
Object
The newly formula is ℓc >0.57πm. A possibility of 19% smaller design than gears up to now is confirmed.
Result
To devise three analysis models and try to find which model result well corresponds to the experiment result. To calculate bending stresses by the best suitable model.
Method
Bending Stress(Tensile)
Bending Stress(Compressive)
Minimum Lengthℓc
d
Fn
19/19
