Parker Compax3

Parker EME
Setting up Compax3
192-120113 N08 C3I12T11 - December 2010
283
Calculation of the resonance frequencies in the rotary system with a hollow
shaft as elastic coupling element








+⋅⋅
⋅
=
21
Re
11
2
1
JJ
Df
s
π
2
Re
2
1
J
D
f
sA
⋅
⋅
=
π
( )
l
rrG
drr
l
G
D
IA
r
r
A
I
⋅
−⋅⋅
=⋅⋅
⋅⋅
=
∫
2
2
44
3
ππ
G
Shear modulus of the material used [N/m²]
(e.g. approx. 80750N/mm² for steel)
D Torsional rigidity in [m/rad]
rA Outer radius of the hollow shaft
rI Inner radius of the hollow shaft
l Length of the hollow shaft
Linear two mass system
Resonance frequencies in the linear system








+⋅⋅
⋅
=
21
Re
11
2
1
mm
Df
s
π
2
Re
2
1
m
D
f
sA
⋅
⋅
=
π
D Rigidity in [N/m]
m1 e.g. motor mass
m2 e.g. load mass