Siemens SINAMICS S200 - Page 759

Ball screw length B
l
2 m
Ball screw diameter B
d
0.04 m
Ball screw pitch B
p
0.04 m
Mechanical e󹪟ciency B
ŋ
0.9
Coupler inertia (refer to the supplier's product catalog) J
c
20 × 10
-6
k
gm
2
Acceleration time t
a
0.15 s
Constant motion time t
u
0.7 s
Deceleration time t
d
0.15 s
Cycle time t
c
2 s
Travel distance L 0.5 m
Gravitational acceleration g 9.81 m/s
2
Frictional coe󹪟cient μ 0.025
Calculating velocity
Maximum tr
aveling velocity
:
Calculating forces, pitch angle and friction angle
Frictional force:
Accelerating force/decelerating force:
Pitch angle of the ball screw:
Friction angle of the ball screw:
Calculating torques for the ball screw and the coupling when accelerating and
decelerating
Angular velocity of the ball scre
w at V
max
:
Appendix
A.5Motor selection
SINAMICS S200 pulse train servo drive system with SIMOTICS S-1FL2
Operating Instructions, 11/2023, FW V6.3, A5E51646767B AA 757