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HW 3
Acoustics I
Fall 2006
Due: October 30
Problem 1
•
Derive the acoustic impedance
of the Helmholz resonator.
a
Z
•
Now this resonator is used as a side branch as shown in the figure.
Derive the
expression for
T
in terms of given parameters.
Π
•
Plot
10
1
10log
TL
T
Π
=
as a function of frequency if the acoustic medium is
standard air and
for the range
between 0 Hz to 2,000 Hz.
22
0.1
,
0.002
,
0.01 ,
10
b
Sm
S
m
L
m
V
−
==
=
=
3
3
m
V
L
b
b
S
S
Figure 6: Helmholz resonator used as a side branch
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View Full DocumentProblem 2:
Expansion Muffler Modeled as a Low Pass Filter
L
S
S
1
S
Figure 7.
An expansion chamber type reactive muffler
The expansion type muffler shown in Figure 7 can be modeled as a side branch of a
volume
.
1
()
LS S
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 Fall '07
 Kim

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