Figure 1 Schematic Representation of a Hole 1 1 1 1 2 2 2 2
Feb 15, 2016
Figure 1 Schematic Representation of a Hole
𝑦
𝑝𝑟
𝑝𝑖
𝑝𝑠𝑍𝑟 1
𝑝1
𝑢1
𝑥𝑝𝑖1
𝑝𝑖2
𝑝2
𝑢2
𝑝𝑡
𝑍𝑟 2
𝑧
Figure 1 Schematic Representation of a Hole
Figure 2 Schematic Conical
Hole
𝐿 𝑙1
𝑙2
𝑟2𝑆2
𝑟1𝑆1
Figure 2 Schematic Conical
Hole
Figure 3 VA-One
Model
Radiation Impedance
Diffuse Acoustic Field
Figure 3 VA-One
Model
Radiation Impedance
Diffuse Acoustic Field
Figure 4 Comparsion of Results of a Hole (, )
100 1000-30
-20
-10
0
10
20
30
Acoustic FEM
Transfer Matrix
Sgard et al. (2007)
Frequency (Hz)
Tran
smis
sion
Los
s (d
B)
Figure 5 Effect of Hole
Shape
100 1000-30
-20
-10
0
10
20
30
r=5.64mm
10 mm × 10 mm
14.14 mm × 7.07 mm
20 mm × 5 mm
Frequency (Hz)
Tran
smis
sion
Los
s (d
B)
Figure 6 Results of Conical Hole
100 1000-20
-10
0
10
20
30
Acoustic FEM (Converging)
Transfer Matrix (Converging)
Acoustic FEM (Diverging
Transfer Matrix (Diverging)
Frequency (Hz)
Tran
smis
sion
Los
s (d
B)
Figure 7 Effect of Radius Ratio of Conical Hole
100 1000-30
-20
-10
0
10
20
30
1
2
4
6
Frequency (Hz)
Tran
smis
sion
Los
s (d
B)
𝑟
𝑅
𝑙2𝑙1
Figure 8 Dimensions of Hole with Area Change
Figure 9 Effect of Radius Change of Straight Hole
100 1000-40
-20
0
20
40
1
2
4
6
Frequency (Hz)
Tran
smis
sion
Los
s (d
B)
𝑟3
𝑟1
𝑟2
𝑙3𝑙2𝑙1
Figure 10 Dimensions of Hole with Expansion
Figure 11 Results of Hole with Expansion Chamber
100 1000-40
-30
-20
-10
0
10
20
30
40
Acoustic FEM
Transfer Matrix
Frequency (Hz)
Tran
smis
sion
Los
s (d
B)
Figure 12 Comparison the Effect of Different Cross Area of Hole with Expansion Chamber
100 1000-45
-30
-15
0
15
30
45
1
2
4
6
Frequency (Hz)
Tran
smis
sion
Los
s (d
B)
Figure 13 Comparison of Length Effect of Hole with Expansion Chamber
100 1000-30
-20
-10
0
10
20
30
0.2
0.4
0.6
0.8
Frequency (Hz)
Tran
smis
sion
Los
s (d
B)
Figure 14 Schematic Representation of Hole with Helmholtz Resonator (, , )
𝑉 𝑐
[ 𝐴1 𝐵1
𝐶1 𝐷1] [𝐴2 𝐵2
𝐶2 𝐷2]
𝑅𝑛𝑙 𝑛
Figure 15 Comparison of Results of Hole with Helmholtz Resonator
100 1000-40
-20
0
20
40
Acoustic FEM
Transfer Matrix
Without Resonator
Frequency (Hz)
Tran
smis
sion
Los
s (d
B)
Figure 16 Comparison of Results of Large Opening
10 100 1000-10
-5
0
5
10
Acoustic FEM
Sgard et al. (2007)
Frequency (Hz)
Tran
smis
sion
Los
s (d
B)