Selection Examples; A.3.3 Selection Examples - Siemens SINAMICS V90 Operating Instructions Manual

A.3.3

Selection examples

This section uses a ball screw mechanism as an example to illustrate the motor selection
procedure.
Exemplary data
The following table lists the data related to the ball screw mechanism and operation pattern.
Mechanism
Workpiece weight (W)
Ball screw length (B
Ball screw diameter (B
Ball screw pitch (B
Mechanical efficiency (B
Coupler inertia (J
1. Ball screw weight
B
2. Load inertia
J
3. Preselection
If a 1000 W motor is selected, J
Therefore, J
4. Maximum rotational speed
V
N
5. Effective torque
T
T
T
Therefore, T
(rated torque)
6. Final selection
According to the above calculated speed, torque, and inertia ratio, you are recommended
to select 1000 W motors, i.e. 1FL6062.
SINAMICS V90, SIMOTICS S-1FL6
Operating Instructions, 09/2015, A5E36037884
)
l
)
d
)
p
)
ŋ
)
c
= ρ x π x (Bd/2) x B
2
w l
= J + J = J + 1/8 x B
l c b c
/ J (inertia ratio) = 3.57 < 5 times
l m
(maximum travelling speed) = 2L / (t
max
(maximum rotational speed) = 60 x V
max
(moving torque) = (μgW + F) x B
m
(acceleration torque) = [(J
a
(deceleration torque) = [(J
d
(effective torque) =√(T
rms
40 kg
2 m
0.04 m
0.04 m
0.9
20 x 10 kg·m (refer to
-6 2
the supplier's product
catalog)
= 19.85 kg
x B + W x B / 4π = 5.61 x 10
d 2 p 2 2
w
(motor inertia) = 1.57 x 10
m
+ 2t
a u
/ B
max
/ 2πB = 0.069 Nm
p η
+ J ) x 2 πN / T ] + T
l m a
+ J ) x 2 πN / T ] - T
l m d
x t + T
a 2 m 2
a
A.3 Motor selection
Operation pattern
Acceleration time (t )
a
Constant motion time (t )
u
Deceleration time (t )
d
Cycle time (t )
c
Travel distance (L)
-
kg·m
-3 2
kg·m
-3 2
+ t ) = 5.89 m/s
d
= 882 rpm < 2000 rpm (rated speed)
p
= 4.49 Nm
m
= 4.35 Nm
m
x t + T x t ) / t = 1.71 Nm < 4.78 Nm
d 2
b d c
Appendix
0.15 s
0.7 s
0.15 s
2 s
0.5 m
343