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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.
INTRODUCTION
Simple gearingsSimple gearings(gear trains)
Planetary (or epyciclic)gearings
(car differential gearing)
SIMPLE GEARINGS
Parallel axes
(A)
(B)(B)
SIMPLE GEARINGS
Coplanar axes
(D)
(C)(C)
PLANETARY GEARINGS
Willis formula
Transmission ratio of the equivalent simple gearing:
01
n p
p
PLANETARY GEARINGS
PLANETARY GEARINGS
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
MULTI-DOFs GEARINGS
Car differential gearing
MULTI-DOFs GEARINGS
Car differential gearing