Civil Engineering Reference
In-Depth Information
50
Measurements
Prediction
45
40
35
30
25
20
15
10
5
0
0
1
2
3
4
5
6
7
8
9
10
Frequency (kHz)
Figure 11.19
The transmission loss for a foam bonded on to a plate, in diffuse field.
Prediction vs measurements.
Appendix 11.A The elements
T
ij
of the Transfer Matrix [
T
]
2
Nβ
2
(p
2
D
1
−
p
1
D
2
)
−
(p
3
(C
1
D
2
−
C
2
D
1
))
T
11
=
(11.A.1)
α
2
q
1
[
µ
2
(α
3
−
β
2
)
2
β
2
µ
3
]
α
1
q
2
[
µ
1
(α
3
−
β
2
)
2
β
2
µ
3
]
+
−
+
+
2
α
3
q
3
α
1
α
2
(µ
1
−
µ
2
)
T
12
=
jβ
(11.A.2)
+
α
3
)
α
1
α
2
(µ
1
−
µ
2
)(β
2
jβ
(α
1
q
2
α
2
q
1
)
α
1
α
2
(µ
1
−
−
T
13
=
(11.A.3)
µ
2
)
βω
[
p
1
D
2
−
p
2
D
1
−
p
3
(D
2
−
D
1
)
]
T
14
=
(11.A.4)
β
2
q
1
(µ
2
−
α
3
q
3
β
2
q
2
(µ
1
−
jω
N
(β
2
µ
3
)
α
1
(µ
2
−
µ
1
)
+
µ
3
)
α
2
(µ
1
−
µ
2
)
+
T
15
=
(11.A.5)
α
3
)
+
βω
p
2
C
1
−
+
2
Nβ
2
(p
2
−
p
1
C
2
−
p
3
(C
1
−
C
2
)
p
1
)
T
16
=
(11.A.6)
2
N(α
1
q
1
D
2
C
2
D
1
)
jβ
q
3
α
3
(C
1
D
2
T
21
=
−
α
2
q
2
D
1
)
−
−
(11.A.7)
