Setting
up Compax3
Positioning via digital I/Os
228
192-120101 N11 C3I11T11 November 2007
Toothed belt drive as two mass system
m 2
M o to r
G e trie b e
A n trie b s za h n ra d
b e w e gte M a ss e
D
1
D
2
l
1
l
2
M a s s e
Z a h n riem e n
l
A c hs e
In toothed belt drives, the toothed belt is the elastic coupling element. Its rigidity
depends directly on the lengths I1 and I2 and changes in dependance of the
position of the moved mass.
⎟⎟
⎠
⎞
⎜⎜
⎝
⎛
−
⋅
⋅
=
+
=
=
=
−
⋅
=
=
Achse
spez
spez
spez
Achse
spez
l
l
l
D
D
D
D
l
D
D
l
D
D
l
l
l
F
D
1
1
2
1
2
1
1
2
max
2
2
;
2
;
1
2
;
004
,
0
(
)
(
)
⎟
⎟
⎠
⎞
⎜
⎜
⎝
⎛
⋅
+
⋅
⋅
=
⋅
=
2
1
2
2
Re
Re
1
2
1
2
2
1
Getriebe
Zahnrad
s
s
A
i
J
r
m
D
f
m
D
f
π
π
D
Total spring constant of the toothed belt drive
Dspez
Specific spring constant of the toothed belt used
D1
Spring rate of the belt length I1
D2
Spring rate of the belt length I2
iGearbox
Transmission ratio of the gearbox
IAxis
Length of the axis
J1
Moment of inertia of motor and gearbox
m2 translatory
moved
mass
rToothed
wheel
Radius of the drive pinion
4.4.9.9
Examples are available as a movie in the help file
Here you can find examples as a movie in the help file.