39
1018856
08/2018 V04
m [kg]
Pre selection conditions
Load
Confirmation
Catalogue value
Unit
Load max. rotation speed (n
2
)
≤ n
max
Max. output speed
[rpm]
Load moment of inertia (J
L
)
≤ 3J
Out
1)
Moment of inertia
[kgm
2
]
Coefficient of friction µ
Load torque T
L
[Nm]
Ball screw moment of inertia J
S
[kgm
2
]
Pitch P [m]
Efficiency
η
T
L
[Nm]
Coefficient of friction of bearing µ
Speed patt
ern
Torque patt
ern
Speed n [rpm]
Torque T [Nm]
Operational cycle t
0
Note t
1
= t
3
Time t [s]
Time t [s]
T
L
=
µ
. m . g . r [Nm] g = 9.81 [m/s
2
]
J
L
=
m
8
. D
2
[kgm
2
]
1)
J
L
≤ 3 . J
Out
is recommended for highly dynamic applications (high responsiveness and accuracy).
Linear horizontal motion
Rotary motion
Table 39.1
Illustration 39.2
Illustration 39.4
Illustration 39.6
Equation 39.3
Equation 39.5
(
)
2
J
L
= J
S
+ m
P
2
π
[kgm
2
]
µ
. m . P . g
2
π
.
η
T
L
=
[Nm]
J
L
[kgm
2
]
m
[kg]
D [m]
r [m]
n
2
T
1
T
2
T
3
t
1
t
2
t
3
t
P