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Acoustical Engineering (Harry F. Olson).pdf
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CONTENTS

 

 

 

 

 

CHAPTER

 

 

 

 

 

 

 

 

 

PAGE

1. SOUND WAVES

 

 

 

 

 

 

 

 

1.1

INTRODUCTION .. . ....................................

 

 

 

 

 

• .

1

1.2

SOUND WAVES ... . ......................

 

 

 

•.• . •

.....

• ....

2

1.3

ACOUSTICAL WAVE EQUATION

........

•...

. ..............

 

 

4

 

A. Equation of Continuity ............................

 

 

 

 

 

4

 

B.

Equation of Motion ...............................

 

 

 

 

 

5

 

C. Compressibility of a Gas

..........................

 

 

 

 

5

 

D. Condensation ....................................

 

 

 

 

 

 

6

 

E. D'Alembertian

Wave Equation ...

....

.............

 

 

6

1.4

PLANE SOUND WAVES..................................

 

 

 

 

 

10

 

A. Particle Velocity in a Plane Sound Wave...........

 

 

10

 

B.

Pressure in a Plane Sound Wave . ..

...............

 

 

10

 

C.

Particle Amplitude in a Plane Sound Wave .........

 

 

10

1.5

SPHERICAL SOUND WAVES ..............................

 

 

 

 

 

11

 

A. Pressure in a Spherical Sound Wave ...............

 

 

 

12

 

B. Particle Velocity in a Spherical

Sound Wave.......

 

13

 

C. Phase Angle Between the Pressure and Particle Veloc­

 

 

 

ity in a Spherical Sound Wave....................

 

 

 

13

 

D. Ratio of the Absolute Magnitudes of the Particle Ve­

 

 

 

locity and the Pressure in a Spherical Sound Wave. ..

14

1.6

STATIONARY SOUND WAVES.............................

 

 

 

 

14

1.7

SOUND ENERGY DENSITY . . ....

...•. ....................

 

 

 

 

15

1.8

SOUND INTENSITY ........................

 

 

 

• .........

 

•• .

15

1.9

DECIBELS

(BELs) ......................................

 

 

 

 

 

 

15

1.10

DOPPLER

EFFECT .•..

•.•............

 

.• ....

•.. . .

• . ••

... •.

17

1.11

REFRACTION AND DIFFRACTION

• ..............

 

• ... . ......

 

 

17

1.12 ACOUSTIEAL RECIPROCITY THEOREM ..

. . ...

...........

 

• ...

24

1.13 ACOUSTICAL PRINCIPLE OF SIMILARITY

...................

 

 

 

26

1.14 LONGITUDINAL WAVES IN A ROD..... ..

..................

 

 

 

26

1.15

TORSIONAL WAVES IN A ROD........

. .. . .

. . . . . . . . .

•

. . . ..

28

1.16

CYLINDRICAL SOUND WAVES ............................

 

 

 

 

 

28

II. ACOUSTICAL RADIATING SYSTEMS

 

 

 

 

 

2.1

INTRODUCTION ..........

. ..............

 

..

.. . ...........

 

 

30

2.2

SIMPLE POINT SOURCE ... • ..

• .............

 

• ............

 

 

30

 

A. Point Source Radiating into an Infinite Medium. Solid

 

 

 

Angle of 471' Steradians ............................

 

 

 

 

 

30

 

B. Point

Source Radiating into a Semi-Jnfinite Medium.

 

 

 

Solid

Angle of

271' Steradians ......................

 

 

 

 

31

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