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Figure 1 Schematic Representation of a Hole 1 1 1 1 2 2 2 2
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F igure 1 Schematic Representation of a Hole

Feb 15, 2016

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F igure 1 Schematic Representation of a Hole. F igure 1 Schematic Representation of a Hole. Figure 2 Schematic Conical Hole. Figure 2 Schematic Conical Hole. Radiation Impedance. Diffuse Acoustic Field. Figure 3 VA-One Model. Radiation Impedance. Diffuse Acoustic Field. - PowerPoint PPT Presentation
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Page 1: F igure  1  Schematic Representation of a Hole

Figure 1 Schematic Representation of a Hole

𝑦

𝑝𝑟

𝑝𝑖

𝑝𝑠𝑍𝑟 1

𝑝1

𝑢1

𝑥𝑝𝑖1

𝑝𝑖2

𝑝2

𝑢2

𝑝𝑡

𝑍𝑟 2

𝑧

Page 2: F igure  1  Schematic Representation of a Hole

Figure 1 Schematic Representation of a Hole

Page 3: F igure  1  Schematic Representation of a Hole

Figure 2 Schematic Conical

Hole

𝐿 𝑙1

𝑙2

𝑟2𝑆2

𝑟1𝑆1

Page 4: F igure  1  Schematic Representation of a Hole

Figure 2 Schematic Conical

Hole

Page 5: F igure  1  Schematic Representation of a Hole

Figure 3 VA-One

Model

Radiation Impedance

Diffuse Acoustic Field

Page 6: F igure  1  Schematic Representation of a Hole

Figure 3 VA-One

Model

Radiation Impedance

Diffuse Acoustic Field

Page 7: F igure  1  Schematic Representation of a Hole

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)

Page 8: F igure  1  Schematic Representation of a Hole

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)

Page 9: F igure  1  Schematic Representation of a Hole

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)

Page 10: F igure  1  Schematic Representation of a Hole

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)

Page 11: F igure  1  Schematic Representation of a Hole

𝑟

𝑅

𝑙2𝑙1

Figure 8 Dimensions of Hole with Area Change

Page 12: F igure  1  Schematic Representation of a Hole
Page 13: F igure  1  Schematic Representation of a Hole

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)

Page 14: F igure  1  Schematic Representation of a Hole

𝑟3

𝑟1

𝑟2

𝑙3𝑙2𝑙1

Figure 10 Dimensions of Hole with Expansion

Page 15: F igure  1  Schematic Representation of a Hole
Page 16: F igure  1  Schematic Representation of a Hole

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)

Page 17: F igure  1  Schematic Representation of a Hole

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)

Page 18: F igure  1  Schematic Representation of a Hole

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)

Page 19: F igure  1  Schematic Representation of a Hole

Figure 14 Schematic Representation of Hole with Helmholtz Resonator (, , )

𝑉 𝑐

[ 𝐴1 𝐵1

𝐶1 𝐷1] [𝐴2 𝐵2

𝐶2 𝐷2]

𝑅𝑛𝑙 𝑛

Page 20: F igure  1  Schematic Representation of a Hole
Page 21: F igure  1  Schematic Representation of a Hole

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)

Page 22: F igure  1  Schematic Representation of a Hole

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)