foundation of mechanics 1foundation of mechanics...
TRANSCRIPT
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FOUNDATION of MECHANICS 1FOUNDATION of MECHANICS 1
Presentation09: Gearings
Outline
• Introduction: power transmission with constant transmission ratio• Introduction: power transmission with constant transmission ratio.
• Simple gearings:
• Planetary gearings: kinematic inversion and equivalent simple gearing; Willis formula.
• Multi-DOFs gearings: car differential gearing.
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INTRODUCTION
Simple gearingsSimple gearings(gear trains)
Planetary (or epyciclic)gearings
(car differential gearing)
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SIMPLE GEARINGS
Parallel axes
(A)
(B)(B)
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SIMPLE GEARINGS
Coplanar axes
(D)
(C)(C)
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PLANETARY GEARINGS
Willis formula
Transmission ratio of the equivalent simple gearing:
01
n p
p
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PLANETARY GEARINGS
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PLANETARY GEARINGS
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MULTI-DOFs GEARINGS
50 31 zz 30 1z
010 2 5z z
1 2z z1 5
0 1 P 1 3
1 3 Pz z
010 3z
3 5z z 0 2P 1 3 2P
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MULTI-DOFs GEARINGS
Car differential gearing
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MULTI-DOFs GEARINGS
Car differential gearing