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Rotary Table
Calculation
Direct Drive
Indirect Drive
SRT Servo Rotary Actuator
Input
Acceleration Time
t
a
=
s
Deceleration Time
t
d
=
s
Constant Speed Time
t
cs
=
s
Dwell Time
t
off
=
s
Plate Diameter
D=
mm
Plate Thickness
h=
mm
Plate Density
2700
ρ=
kg/m
3
Number of Work Stations
4
no
ws
=
Work Station Mass
m
ws
=
kg
Work Stations at Radius
r=
mm
P
1
Pulley Pitch Diameter
D
P1
=
mm
P
2
Pulley Pitch Diameter
D
P2
=
mm
SRT Internal Ratio
5.5
i
SRT
=
SRT Efficiency
0.91
η
SRT
=
Pulleys' Efficiency
0.9
η
pu
=
Gearbox Efficiency
η
g
=
Service Factor
1.5
K
A
=
Max. Motor Speed During Cycle
2000
n
1
=
rpm
Positioning Accuracy
Δ
p
=
mm
SRT Moment of Inertia
0
J
SRT
=
kg·m
2
Gearbox Moment of Inertia
0
J
g
=
kg·cm
2
Motor Moment of Inertia
J
M
=
kg·cm
2
Motor Encoder/Resolver Resolution
1024
PPR
i
=
PPR
The formulas used for these calculations are available in
this PDF
.
Results
Plate radius
R=
m
Plate Thickness
h=
m
Work Stations at Radius
r=
m
Machine
Time per Division
t
on
=
s
Cycle Duration
t
cycle
=
s
Cycles per Minute
Z=
System Efficiency
η=
System Efficiency
η=
Plate Mass
m
pla
=
kg
Total Workstation Mass
m
aws
=
kg
Total Load Mass
m
load
=
kg
Pulley Ratio
i
P
=
Total Transmission Ratio
i=
Required Acceleration Torque
T
acc
=
N·m
Required Deceleration Torque
T
dec
=
N·m
Inertias
Plate Inertia
J
pla
=
kg·m
2
Single Work Station Inertia
J
ws
=
kg·m
2
Total Work Station Inertia
J
aws
=
kg·m
2
Plate and Workstations Inertia
J
T
=
kg·m
2
Total Inertia as Seen by the Motor
J
T1
=
kg·cm
2
Total Inertia as Seen by the Motor
J
T1
=
kg·cm
2
Load to Motor Inertia Ratio
Λ=
Load to Motor Inertia Ratio
Λ=
Kinematics
Angular Acceleration
α
a
=
rad/s
2
Angular Deceleration
α
d
=
rad/s
2
Maximum Rotational Speed
ω
max
=
rad/s
Maximum Rotational Speed
n
2 max
=
rpm
Motor
Motor Power During Acceleration
P
acc1
=
kW
Motor Power During Acceleration
P
acc1
=
kW
Motor Power During Acceleration
P
acc1
=
kW
Motor Power During Deceleration
P
dec1
=
kW
Motor Power During Deceleration
P
dec1
=
kW
Motor Power During Deceleration
P
dec1
=
kW
Required Motor Torque
T
m
=
N·m
Required Motor Torque
T
m
=
N·m
Required Motor Torque
T
m
=
N·m
Min. Recommended Motor Inertia
J
M min
=
kg·cm
2
Min. Recommended Motor Inertia
J
M min
=
kg·cm
2
Gearbox
Ideal Gearbox Ratio
i
g=
Ideal Gearbox Ratio
i
g=
Ideal Gearbox Ratio
i
g=
Ideal Gearbox Backlash (arcmin)
Δφ=
'
Ideal Gearbox Backlash (arcmin)
Δφ=
'
Ideal Gearbox Backlash (arcmin)
Δφ=
'
Required Gearbox Output Torque
T
2 max
=
N·m
Required Gearbox Output Torque
T
2 max
=
N·m
Required Gearbox Output Torque
T
2 max
=
N·m
Required Gearbox Output Torque, Adjusted for Service Factor
T
2KA
=
N·m
Required Gearbox Output Torque, Adjusted for Service Factor
T
2KA
=
N·m
Required Gearbox Output Torque, Adjusted for Service Factor
T
2KA
=
N·m
Resolution
Outer Ring Resolution
PPR
o
=
PPR
Pulses/Degree
PPD
o
=
Pulses/Workstation
PPW
o
=
Buttons
Reset
Diagrams
Direct Drive Rotary Table
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SRT Servo Rotary Actuator
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