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High Precision Planetary Gearboxes
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Generic Load
Calculation
Geared Motor and Gear Train
Input
Rotating Mass Inertia
J
L
=
kg·m
2
Tangential Force
F=
N
Force at Radius
mm=
r
Rotational Speed
n
2
=
rpm
Acceleration Time
t
a
=
s
Gear Wheel Density
7850
ρ=
kg/m
3
Gear 1 Pitch Diameter
D
1
=
mm
Gear 1 Tooth Width
b
1
=
mm
Gear 2 Pitch Diameter
D
2
=
mm
Gear 2 Tooth Width
b
2
=
mm
Service Factor
1.25
K
A
=
Machine Efficiency
0.75
η
m
=
Gearbox Efficiency
η
g
=
Gearbox Moment of Inertia
0
J
R
=
kg·cm
2
Max. Motor Speed During Cycle
3000
n
1
=
rpm
Motor Moment of Inertia
J
M
=
kg·cm
2
The formulas used for these calculations are available in
this PDF
.
Results
Machine
System Efficiency
η=
Gear 1 Mass
m
1
=
kg
Gear 2 Mass
m
2
=
kg
Inertias
Gear 1 Inertia
J
G1
=
kg·m
2
Gear 2 Inertia
J
G2
=
kg·m
2
Total Inertia as Seen by Gearbox
J
T
=
kg·m
2
Total Inertia as Seen by the Motor
J
T1
=
kg·cm
2
Load to Motor Inertia Ratio
Λ=
Kinematics
Rotational Acceleration
α=
rad/s
2
Rotational Speed
ω=
rad/s
Acceleration Torque on Load
T
a
=
N·m
Motor
Minimum Motor Power
P
1
=
kW
Required Motor Torque
T
m
=
N·m
Gearbox
Total Required Ratio
i
T
=
Gear Wheels Ratio
i
G
=
Ideal Gearbox Ratio
i=
Required Torque on Load
T
L
=
N·m
Total Required Torque on Load
T
T
=
N·m
Required Gearbox Output Torque
T
2
=
N·m
Required Gearbox Output Torque, Adjusted for Service Factor
T
2KA
=
N·m
Buttons
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Diagrams
Motorreductor y Tren de Engranajes
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