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Acoustical Engineering (Harry F. Olson).pdf
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vi

 

CONTE:'-JTS

 

 

 

 

CHAPTER

 

 

 

 

PAGE

 

C. Point Source Radiating into a Solid Angle of 71" Stera­

 

 

dians ............................................

 

 

 

 

31

 

D. Point Source Radiating into a Solid Angle of ?T12 Ste­

 

 

radians .........................................

 

 

 

.

31

 

E. Application of the Simple Source .................

 

 

.

31

2.3

DOUBLE SOURCE

(DOUBLET SOURCE) ...•••••....

•..•....

32

2.4

SERIES OF POINT

SOURCES ••.•..•.••••.•.•••••..

•.••••••

35

2.5

STRAIGHT LINE

SOURCE ..•.••.••.••••....

••..•.••.•.••.

36

2.6

BEAM TILTING BY PHASE SHIFTING ...•••.•.•..

•.•••...

36

2.7TAPERED STRAIGHT LINE SOURCE •••••••••••••••••••••••• 37

2.8NONUNIFORM STRAIGHT LINE SOURCE ••.•••••••..••••••. 38

2.9

END FIRED LINE SOURCE •....

••••....

• . ••....

•••••.....

 

38

2.10

SUPER DIRECTIVITY SOURCE .••••••....

• . ••••..

••••••....

 

39

2.11

CURVED LINE SOURCE (ARC OF A CIRCLE) ..••.••...

••••.•

40

2.12

CIRCULAR RING SOURCE ..•••••...••.•

....••••••..

••••••

43

2.13

PLANE CIRCULAR-PISTON SOURCE .•......

••....

••.•.....

43

2.14

NONUNIFORM PLANE CIRCULAR SURFACE SOURCE •.......

 

44

2.15PLANE CIRCULAR-PISTON SOURCE SET IN THE END OF AN INFINITE PIPE •.•••••.•.••••••.••••••.••.••••...••••••. 45

2.16PLANE CIRCULAR-PISTON SOURCE IN FREE SPACE •.•••.•.• 45

2.17

PLANE SQUARE SURFACE SOURCE ••....

••••

....•••••....

,

45

2.18

PLANE RECTANGULAR SURFACE SOURCE .....••••...

•.•....

 

46

2.19

HORN

SOURCE •.•.••..•.•••••••..••••.••..•••.•..•.••..

47

 

A.

Exponential

Horns

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

 

 

 

 

.

47

 

B.

Conical

Horns ..................................

 

 

 

 

 

.

48

 

C.

Parabolic Horns .................................

 

 

 

 

 

.

48

2.20

CURVED SURFACE

SOURCE

..•.•.•••....

••.••••.••••.••.•.

50

2.21

CONE SURFACE SOURCE .........

•.....

 

•••........

 

•....

•.

53

III. MECHANICAL VIBRATING SYSTEMS

 

 

 

 

 

3.1

INTRODUCTION

.•

....••.....

•.••••....

••........

 

•.•...•.

56

3.2

STRINGS

..•••......

••.•

....•••.•...•••.•.•.••••.....

••

56

3.3

TRANSVERSE VIBRATION OF BARS ..•••...

•.••••...

••••.•.

57

 

A. Bar Clamped at One End ..........................

 

 

 

 

 

58

 

B. Bar Free at Both Ends ...........................

 

 

 

 

 

59

 

C.

Bar Clamped at Both Ends ........................

 

 

 

 

 

60

 

D. Bar Supported at Both Ends

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

 

 

 

 

60

 

E. Bar Clamped at One End and Supported at the Other

60

 

F. Bar Supported at One End and Free at the Other. .

..

60

 

G. Tapered

Cantilever

Bars ..........................

 

 

 

 

 

60

3.4

STRETCHED MEMBRANES .•.••.•...

••.•....

•.••....

••.•..

61

 

A. Circular Membrane .. ~ . . . . .

. . . .

. . . . .

. . . . . .

. . . . . .

..

62

 

B.

Square

Membrane ................................

 

 

 

 

 

 

63

 

C.

Rectangular

Membrane ............................

 

 

 

 

 

63

3.5

CIRCULAR

PLATES

••••..

••••....

•.••.•....

•.••....

••....

 

63

 

A. Circular

Clamped Plate ...........................

 

 

 

 

 

64

 

B.

Circular

Free Plate

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

 

 

 

 

 

66

 

C.

Circular Plate Supported at the Center .............

 

 

66

 

D.

Circular Plate Supported at the Outside ... . .

. . . . .

. ..

66

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