KV series
GV series
Options
Information
GP series
0.02
2
1
2
1
2
1
2
J
L
=
J
C
+
J
B
+
J
W
=
J
C
+
B
W
×
B
D
2
+
= 0.00001 + (1.24 × 0.02
2
) / 8 + 10 × 0.02
2
/ 4
2
= 1.73 × 10
–4
[kg
∙
m
2
]
8
1
W
A
∙
B
P
2
4
2
1. Example of motor selection for driving ball screw mechanism
Workpiece weight
W
A
=
10
[kg]
Ball screw length
B
L
=
0.5
[m]
Ball screw diameter
B
D
=
0.02
[m]
Ball screw lead
B
P
=
0.02
[m]
Ball screw efficiency
B
Ѡ
=
0.9
Travel distance
0.3
[m]
Coupling inertia
Jc
= 10 × 10
–6
[kg
∙
m
2
]
(Use manufacturer-specified catalog value, or calculation value.)
2. Running pattern :
Acceleration time
t
a
=
0.7
[s]
Constant-velocity time
t
b
=
1.3
[s]
Deceleration time
t
d
=
0.7
[s]
Cycle time
t
c
=
4
[s]
Travel distance
0.3
[m]
3. Ball screw weight
4. Load inertia
5. Provisional motor selection
In case of GP series 50 W, gear ratio 1/5. Permissible load inertia moment = 3.42 × 10
–4
[kg
∙
m
2
]
6. Inertia moment compared
Permissible load inertia moment = 3.42 ×
10
–4
[kg
∙
m
2
]
> Load inertia
= 1.73 ×
10
–4
[kg
∙
m
2
]
Cleared specification
7. Calculation of maximum velocity (Vmax)
8. Calculation of motor velocity (N [r/min]) Ball screw lead per resolution: B
P
= 0.02 [m]
N = 0.15 / 0.02 = 7.5
[r/s]
= 7.5 × 60 = 450
[r/min]
<
600
[r/min]
(rated rotation speed of GP series 50 W, gear ratio 1/5)
9. Calculation of torque
Traveling torque
T
f
= (
ѥJ
W
A
+
F
) = (0.1 × 9.8 × 10 + 0)
=
0.035
[N
∙
m]
Acceleration torque
T
a
= + Traveling torque = + 0.035
= 0.012 + 0.035 = 0.047
[N
∙
m]
Deceleration torque
T
d
= – Traveling torque = – 0.035
= 0.012 – 0.035 = – 0.023
[N
∙
m]
B
W
=
ѩ
×
×
(
)
2
×
B
L
= 7.9 × 10
3
×
×
(
)
2
× 0.5
=
1.24
[kg]
B
D
2
× Acceleration time × Vmax + Constant-velocity time × Vmax + × Deceleration time × Vmax = Travel distance
1
2
× 0.7 × Vmax + 1.3 × Vmax + × 0.7 × Vmax = 0.3
2.0 × Vmax = 0.3
Vmax = 0.3 / 2.0 = 0.15
[m/s]
B
P
2
B
Ѡ
0.02
2
× 0.9
J
L
× 2
N
[r/s]
Acceleration time
[s]
1.73 × 10
–4
× 2
× 7.5
0.7
Time
Velocity
Travel distance
(slashed area)
Stop
time
Deceleration
time
Cycle time
Acceleration
time
Constant-
velocity time
J
L
× 2
N
[r/s]
Deceleration time
[s]
1.73 × 10
–4
× 2
× 7.5
0.7
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Summary of Contents for MINAS-BL GP series
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