Geology Reference
In-Depth Information
Figure 4. Multimass oscillators
c
0
..
..
0
stands for the damping caused by the relative veloc-
ity of two neighbouring masses including c g , the
damping connecting m 1 to the vibrating ground.
1
0
c
0
2
C =
(28)
:
:
::
:
0
0
..
c n
k
+
k
k
0
..
..
..
0
0
(30)
12
g
12
k
k
k
k
+
12
12
23
23
is the damping matrix if the damping is due to
friction related to a fixed environment.
0
k
k
+
k
:
K =
23
23
34
:
:
:
::
k
n
1
, n
0
0
.
k
k
n
1
,
n
n
1
,
n
c
+
c
c
0
.
.
0
0
12
g
12
c
c
+
c
c
12
12
23
23
C =
.
c
c
+
c
.
.
is the stiffness matrix including k g , the stiffness
connecting m 1 to the vibrating ground.
Just as with the single mass oscillator, we are
primarily interested in the harmonic response.
The amplitude of one single-mass point or of
23
23
34
.
.
.
::
c
n
1
,
n
0
0
.
c
c
1
(29)
n
1
,
n
n
,
n
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