Civil Engineering Reference
In-Depth Information
Beispiel #1
Lange: 2m, Masse:
m
=84
,
79kg
Schwerpunkt:
x
=1m,
y
=0m,
z
=0m
Massentragheitsmomente bezuglich des
Ursprungs (0) und des Schwerpunktes (S):
J
xx
=
,
41kgm
2
,
J
xx
=1
,
41kgm
2
J
yy
= 114
,
37kgm
2
,
J
yy
=29
,
58kgm
2
J
zz
= 113
,
15kgm
2
,
J
zz
=28
,
36kgm
2
IPE300-Kragarm
(31200 Hexaeder-Elemente)
Deviationsmomente:
J
xy
=
J
xz
=
J
yz
=
J
xy
=
J
xz
=
J
yz
=0
Extraktion von 24 Eigenfrequenzen
f
i
einschließlich der zugehorigen Eigenmoden
Φ
i
(gra-
phisch dargestellt), generalisierten Massen
m
i
und effektiven Massen
m
eff
ij
:
f
i
m
eff
i
1
m
eff
i
2
m
eff
i
3
m
i
m
eff
i
4
m
eff
i
5
m
eff
i
6
f
i
m
eff
i
1
m
eff
i
2
m
eff
i
3
m
i
m
eff
i
4
m
eff
i
5
m
eff
i
6
m
i
in kg
m
eff
m
i
in kg
m
eff
i
1
,
m
eff
i
2
,
m
eff
i
1
,
m
eff
i
2
,
m
eff
i
3
in kg
i
3
in kg
m
eff
i
4
,
m
eff
i
5
,
m
eff
i
6
in kgm
2
m
eff
i
4
,
m
eff
i
5
,
m
eff
i
6
in kgm
2
24,0Hz
—
52,0
—
20,7
—
—
109,87
161,8Hz
—
0,9
—
9,6
—
—
0,24
Mode 1
Mode 5
34,9Hz
—
—
—
16,7
0,89
—
—
173,4Hz
—
—
—
16,2
0,25
—
—
Mode 2
Mode 6
84,7Hz
—
—
53,2
22,6
—
111,81
—
217,4Hz
—
—
—
13,3
—
—
0,04
Mode 3
Mode 7
136,0Hz
—
14,6
—
17,6
—
—
2,38
259,8Hz
—
3,4
—
9,0
—
—
0,27
Mode 4
Mode 8