Engineering Information 06.2005
6SE7087-6QX70 (Version AE) Siemens AG
11-36 Compendium Motion Control SIMOVERT MASTERDRIVES
♦ Max. speed under load at the pinion
n
v
D
rpm
loadmax
max
.
.
.=
⋅
⋅
=
⋅
⋅
=
60
15 60
01
286 5
ππ
Here, a gear transmission ratio of i=10 is selected. A synchronous
servomotor with a rated speed of 3000 rpm can therefore be used.
nin rpm
Mot loadmax max
.=⋅ = ⋅ =10 286 5 2865
♦ Lifting torque
Mmg
D
Nm
H
=⋅⋅= ⋅ ⋅ =
2
200 9 81
01
2
981.
.
.
♦ Acceleration and deceleration torque for the load
α
load
a
D
s=⋅=⋅=
−
max
.
.
2
25
2
01
50
2
Jm
D
kgm
load
=⋅ = ⋅ =() (
.
).
2
200
01
2
05
222
MJ Nm
b v load load load,
.=⋅=⋅=α 0 5 50 25
♦ Max. torque on the output side of the gear unit
MMM Nm
load b load H
mech
max
()(.)
.
.=+⋅=+⋅=
1
25 981
1
09
136 8
η
A SPG140-M1 planetary gear unit for mounting on 1FT6 motors is
selected with
MNm
max
= 400 when i=10
Jkgm
G
*
.= 0 001
2
Moment of inertia referred to the motor
η
G
= 095. Gear unit efficiency
α
G
=′3 Torsional play
♦ Acceleration and deceleration torque for the gear unit
MJ i Nm
bvG G
Load
,
*
,.=⋅ ⋅= ⋅⋅=α 0001 50 10 0 5
♦ Positioning accuracy
∆s
D
mm
Gear
G
=
⋅
⋅=
⋅
⋅=
°
π
α
π
360
60
01
360
3
60
0 0436
.
.
i.e.
±00218.mm
∆s
D
iz
mm
Encoder
=
⋅
⋅
=
⋅
⋅
=±
ππ01
10 4096
0 0077
,
. , with an 8-pole resolver
∆∆ ∆ ∆ss s s
tot mech
Gear
Encoder
=++
=+ + = <01 00218 0 0077 01295 0 2.. . . .mm
The accuracy requirement is thus satisfied.
3. Max. speed under
load, max. torque
under load,
selection of gear
unit