Chapter 2 Selection of the RSF supermini Series
RSF-super_V1_02
- 16 -
◆
Horizontal linear motion
The following formula calculates the torque for horizontal linear motion of mass [W] fed by the screw of
pitch [P].
π
×
×
×
μ
×
=
2
P
W
8
.
9
T
T: torque (N
・
m)
μ
: coefficient of friction
W: mass
(kg)
P: screw pitch
(m)
◆
Vertical linear motion
The following formula calculates the torque for vertical linear
motion of mass [W] fed by the screw of pitch [P].
π
×
×
×
=
2
P
W
8
.
9
T
2-4-4
Acceleration time and deceleration time
Calculate acceleration and deceleration times for the selected actuator.
Acceleration:
(
)
L
M
L
A
a
T
T
N
60
2
J
J
t
−
×
π
×
×
+
=
(1)
Deceleration:
(
)
L
F
M
L
A
d
T
T
2
T
N
60
2
J
J
t
−
×
+
×
π
×
×
+
=
(2)
T
a
: acceleration time (sec)
T
d
: deceleration time (sec)
J
A
: actuator inertia (kg
・
m
2
)
J
L
: load moment of inertia (kg
・
m
2
)
N: actuator speed (r/min)
T
M
: maximum torque of actuator (N
・
m)
T
L
: load torque (N
・
m)
note that the polarity of the load torque is plus (+) for counter direction of revolution , and
minus (-) for same direction.
The friction torque of the actuator T
F
(N
・
m) can also be obtained from the following formula:
T
F
=K
T
×
I
M
-T
M
(3)
K
T
: Torque constant [N
・
m/A]
I
M
: Maximum current [A]
Mass: W
Pitch: P
Friction:
μ
Pitch: P
Mass: W
ta
td
N
Time
Speed