OE Max Controls CSDJ Plus User Manual page 205

Mechanical
Configuration
Speed Diagram
Motion per Cycle
Motor Shaft Rotation
Speed
Load Torque
(Motor Shaft)
Load Inertia Moment
Minimum Acceleration
Time
D-6
Ball Screw Load(Horizontal Axis)
MOTOR
V
: Load Speed (m/min)
l
1/ R : Reduction Ratio
L : Ball Screw Length(m)
B
μ : The Coefficient of Friction
M
: Load Mass of Linear movement Part
V
- -
V 2 t t
= ×
l s a
L
s
60 2
= ,
m
if t t L
a d
RV
=
N l
M
P
B
r/min
µ
( . + )
9 8 M F P
=
T
π η
L
2 R
(Nm)
J
= + +
B
J J J
L W G
2
R
여기서
J
: Direct operational part (load) inertia,
W
J : Ball Screw inertia
B
P
kg·m 2
= ( ) 2
B
J M
π
W
,
2 R
here, M : Ball Screw weight(kg)
B
ρ : density (kg/m
π
× ( +
2 N J J
=
M M
t
am
( - )
60 T T
PM L
s
M
1/R
L
B
: Thrust Force(N)
F
P : Ball Screw Lead(m)
B
D : Ball Screw Diameter(m)
B
η
: Mechanical Efficieney
l
L
s
t
t
d
a
t
s
t
c
t
d
V
= ( - )
l
t t
s s a
60
B
π
1
ρ
= × 2 = ×
J M P
B B D
8 32
3 )····· Iron
····· Aluminum ρ = 2.70×10
)
L
Here, J : Motor Inertia, T
M
F
,
D P
B B
J
: gear part inertia,
G
× 4
P P
L D
ρ = 7.87×10 3 (kg/m 3 )
3 (kg/m 3 )
: Motor Maximum torque
PM