Resonance & Displacement


Resonance & Peak Displacements

Formulas

D R = 77.5 * 2.8 * Pf/Po

*(Q/Fr *Nr^0.5)

Peak to Peak

Pf = 165dB

Pf/Pa = 1/1400

D R = 77.5 * Pf/Po

*(Q/Fr *Nr^0.5)

RMS

Q=10

K= 77.5

PTP = RMS X 2.8

Column Legends

F @ r

D R (microns) PTP

D R (microns) RMS

D R (microns) PTP

D R (microns) RMS

N

Nr

Depth Ft.

Peak to Peak

RMS

Using Nr

Using Nr

Using N

Using N

SPECIAL CASES

"Mid-Range" Sonar

165dB

165dB

165dB

165dB

Mu1= 1x10^6

F @ r

D R PTP Nr

D R RMS Nr

D R PTP N

D R RMS N

N

Nr

Depth Ft.

Test Case (Tepley Fig. 2)

3500

3.55

1.27

3.63

1.30

9.3104

9.73

265.77

Cuvier Pterygoid Sinus

3500

0.92

0.33

0.92

0.33

144.9825

143.50

4604.56

Cuvier Lung 3500Hz **

3500

0.13

0.05

0.13

0.05

1115.680

1,100.53

35647.47

Mu1 = 1x10^7

Test Case (Tepley Fig. 2)

3500

3.55

1.27

4.79

1.71

5.34105

9.73

138.83

Cuvier Pterygoid Sinus

3500

0.92

0.33

0.94

0.33

139.914

143.50

4442.47

Cuvier Lung 3500Hz **

3500

0.13

0.05

0.13

0.05

1110.546

1,100.53

35483.28

Breath Holding

e.g. Chris Reid Case

for Mu1 = 1x10^7

F @ r

D R N ptp

D R N rms

D R Nr ptp

D R Nr rms

N

Nr

Depth Ft.

Human Lung Female 0ft

101

76.06

27.16

153.01

54.65

1.00000

4.05

0.00

Human Lung Female 10ft

113

64.26

22.95

120.19

42.92

1.31280

4.59

10.00

Human Lung Female 20ft

123

56.05

20.02

99.17

35.42

1.62540

5.09

20.00

for Mu1= 1x10^6

F @ r

D R N ptp

D R N rms

D R Nr ptp

D R Nr rms

N

Nr

Depth Ft.

Human Lung Female 0ft

44

292.71

104.54

355.24

126.87

1.00000

1.47

0.00

Human Lung Female 10ft

51

224.78

80.28

262.88

93.89

1.31280

1.80

10.00

Human Lung Female 20ft

59

180.87

64.60

206.24

73.66

1.62540

2.11

20.00

SCUBA

e.g. Jay Muller Case

F @ r

D R N ptp

D R N rms

D R Nr ptp

D R Nr rms

N

Nr

Depth Ft.

Mu1 = 1x10^7

SCUBA Male 30 Hz

30

499.36

178.34

2,563.92

915.68

0.04000

1.05

-30.70

Mu1= 1x10^6

SCUBA Male 30 Hz

30

505.36

180.49

667.63

238.44

0.59880

1.05

-12.83

SCUBA Divers

Male

F @ r

D R N ptp

D R N rms

D R Nr ptp

D R Nr rms

N

Nr

Depth Ft.

Mu1 = 1x10^7

SCUBA Male 0 ft

93

82.94

29.62

166.98

59.64

1.00000

4.05

0.00

SCUBA Male 10 ft

94

80.98

28.92

143.57

51.28

1.31280

4.13

10.00

SCUBA Male 20 ft

96

79.12

28.26

127.17

45.42

1.62540

4.20

20.00

SCUBA Male 50 ft

100

74.07

26.45

97.17

34.70

2.56350

4.41

50.00

SCUBA Male 100 ft

106

67.08

23.96

71.98

25.71

4.12699

4.75

100.00

SCUBA Male 200 ft

118

56.73

20.26

48.90

17.46

7.25400

5.39

200.00

SCUBA Male 300 ft

128

49.40

17.64

37.49

13.39

10.38100

5.98

300.00

Mu1= 1x10^6

F @ r

D R N ptp

D R N rms

D R Nr ptp

D R Nr rms

N

Nr

Depth Ft.

SCUBA Male 0 ft

40

316.58

113.06

385.68

137.74

1.00000

1.48

0.00

SCUBA Male 10 ft

43

280.72

100.26

312.24

111.52

1.31280

1.62

10.00

SCUBA Male 20 ft

46

252.88

90.32

262.89

93.89

1.62540

1.76

20.00

SCUBA Male 50 ft

54

196.90

70.32

179.02

63.94

2.56350

2.12

50.00

SCUBA Male 100 ft

65

146.46

52.31

117.27

41.88

4.12699

2.65

100.00

SCUBA Male 200 ft

83

99.64

35.59

69.53

24.83

7.25400

3.53

200.00

SCUBA Male 300 ft

97

76.91

27.47

49.44

17.66

10.38100

4.29

300.00

Female

Mu1 = 1x10^7

F @ r

D R N ptp

D R N rms

D R Nr ptp

D R Nr rms

N

Nr

Depth Ft.

SCUBA Female 0 ft

101

75.91

27.11

152.83

54.58

1.00000

4.05

0.00

SCUBA Female 10 ft

103

74.12

26.47

131.40

46.93

1.31280

4.13

10.00

SCUBA Female 20 ft

104

72.41

25.86

116.39

41.57

1.62540

4.20

20.00

SCUBA Female 50 ft

109

67.79

24.21

88.94

31.76

2.56350

4.41

50.00

SCUBA Female 100 ft

116

61.40

21.93

65.88

23.53

4.12699

4.75

100.00

SCUBA Female 200 ft

129

51.92

18.54

44.75

15.98

7.25400

5.39

200.00

SCUBA Female 300 ft

140

45.21

16.15

34.31

12.25

10.38100

5.98

300.00

Mu1= 1x10^6

F @ r

D R N ptp

D R N rms

D R Nr ptp

D R Nr rms

N

Nr

Depth Ft.

SCUBA Female 0 ft

44

289.74

103.48

352.99

126.07

1.00000

1.48

0.00

SCUBA Female 10 ft

47

256.92

91.76

285.78

102.06

1.31280

1.62

10.00

SCUBA Female 20 ft

51

231.45

82.66

240.61

85.93

1.62540

1.76

20.00

SCUBA Female 50 ft

59

180.21

64.36

163.85

58.52

2.56350

2.12

50.00

SCUBA Female 100 ft

71

134.05

47.87

107.33

38.33

4.12699

2.65

100.00

SCUBA Female 200 ft

90

91.19

32.57

63.63

22.73

7.25400

3.53

200.00

SCUBA Female 300 ft

106

70.39

25.14

45.25

16.16

10.38100

4.29

300.00

HUMAN LUNG

Adult Male Lung

6 L. @ surface

Mu1 = 1x10^6

F @ r

D R N ptp

D R N rms

D R Nr ptp

D R Nr rms

N

Nr

Depth Ft.

Human Lung (frm Birch) @ 5 M

52

212.78

75.99

244.60

87.36

1.51300

2.00

16.41

Human Lung Male 0 ft

40

319.81

114.22

388.14

138.62

1.00000

1.47

0.00

Human Lung Male 10 ft

47

245.60

87.71

287.22

102.58

1.31280

1.80

10.00

Human Lung Male 20 ft

54

197.62

70.58

225.34

80.48

1.62540

2.11

20.00

Human Lung Male 100Hz

101

72.51

25.90

76.76

27.41

4.00000

4.48

95.94

Human Lung Male 200Hz

201

24.18

8.64

24.69

Resonance & Peak Displacements

Formulas

*D R = 77.5 2.8 * Pf/Po**	(Q/Fr Nr^0.5)	Peak to Peak	Pf = 165dB	Pf/Pa = 1/1400
*D R = 77.5 Pf/Po**	(Q/Fr Nr^0.5)	RMS	Q=10	K= 77.5	PTP = RMS X 2.8



Column Legends	F @ r	D R (microns) PTP	D R (microns) RMS	D R (microns) PTP	D R (microns) RMS	N	Nr	Depth Ft.
		Peak to Peak	RMS
		Using Nr	Using Nr	Using N	Using N

SPECIAL CASES


"Mid-Range" Sonar		165dB	165dB	165dB	165dB


Mu1= 1x10^6
	F @ r	D R PTP Nr	D R RMS Nr	D R PTP N	D R RMS N	N	Nr	Depth Ft.
Test Case (Tepley Fig. 2)	3500	3.55	1.27	3.63	1.30	9.3104	9.73	265.77
Cuvier Pterygoid Sinus	3500	0.92	0.33	0.92	0.33	144.9825	143.50	4604.56
Cuvier Lung 3500Hz **	3500	0.13	0.05	0.13	0.05	1115.680	1,100.53	35647.47
Mu1 = 1x10^7
Test Case (Tepley Fig. 2)	3500	3.55	1.27	4.79	1.71	5.34105	9.73	138.83
Cuvier Pterygoid Sinus	3500	0.92	0.33	0.94	0.33	139.914	143.50	4442.47
Cuvier Lung 3500Hz **	3500	0.13	0.05	0.13	0.05	1110.546	1,100.53	35483.28


Breath Holding

e.g. Chris Reid Case

for Mu1 = 1x10^7
	F @ r	D R N ptp	D R N rms	D R Nr ptp	D R Nr rms	N	Nr	Depth Ft.
Human Lung Female 0ft	101	76.06	27.16	153.01	54.65	1.00000	4.05	0.00
Human Lung Female 10ft	113	64.26	22.95	120.19	42.92	1.31280	4.59	10.00
Human Lung Female 20ft	123	56.05	20.02	99.17	35.42	1.62540	5.09	20.00

for Mu1= 1x10^6
	F @ r	D R N ptp	D R N rms	D R Nr ptp	D R Nr rms	N	Nr	Depth Ft.
Human Lung Female 0ft	44	292.71	104.54	355.24	126.87	1.00000	1.47	0.00
Human Lung Female 10ft	51	224.78	80.28	262.88	93.89	1.31280	1.80	10.00
Human Lung Female 20ft	59	180.87	64.60	206.24	73.66	1.62540	2.11	20.00

SCUBA

e.g. Jay Muller Case
	F @ r	D R N ptp	D R N rms	D R Nr ptp	D R Nr rms	N	Nr	Depth Ft.
Mu1 = 1x10^7
SCUBA Male 30 Hz	30	499.36	178.34	2,563.92	915.68	0.04000	1.05	-30.70
Mu1= 1x10^6
SCUBA Male 30 Hz	30	505.36	180.49	667.63	238.44	0.59880	1.05	-12.83


SCUBA Divers

Male
	F @ r	D R N ptp	D R N rms	D R Nr ptp	D R Nr rms	N	Nr	Depth Ft.
Mu1 = 1x10^7
SCUBA Male 0 ft	93	82.94	29.62	166.98	59.64	1.00000	4.05	0.00
SCUBA Male 10 ft	94	80.98	28.92	143.57	51.28	1.31280	4.13	10.00
SCUBA Male 20 ft	96	79.12	28.26	127.17	45.42	1.62540	4.20	20.00
SCUBA Male 50 ft	100	74.07	26.45	97.17	34.70	2.56350	4.41	50.00
SCUBA Male 100 ft	106	67.08	23.96	71.98	25.71	4.12699	4.75	100.00
SCUBA Male 200 ft	118	56.73	20.26	48.90	17.46	7.25400	5.39	200.00
SCUBA Male 300 ft	128	49.40	17.64	37.49	13.39	10.38100	5.98	300.00

Mu1= 1x10^6
	F @ r	D R N ptp	D R N rms	D R Nr ptp	D R Nr rms	N	Nr	Depth Ft.
SCUBA Male 0 ft	40	316.58	113.06	385.68	137.74	1.00000	1.48	0.00
SCUBA Male 10 ft	43	280.72	100.26	312.24	111.52	1.31280	1.62	10.00
SCUBA Male 20 ft	46	252.88	90.32	262.89	93.89	1.62540	1.76	20.00
SCUBA Male 50 ft	54	196.90	70.32	179.02	63.94	2.56350	2.12	50.00
SCUBA Male 100 ft	65	146.46	52.31	117.27	41.88	4.12699	2.65	100.00
SCUBA Male 200 ft	83	99.64	35.59	69.53	24.83	7.25400	3.53	200.00
SCUBA Male 300 ft	97	76.91	27.47	49.44	17.66	10.38100	4.29	300.00


Female

Mu1 = 1x10^7
	F @ r	D R N ptp	D R N rms	D R Nr ptp	D R Nr rms	N	Nr	Depth Ft.
SCUBA Female 0 ft	101	75.91	27.11	152.83	54.58	1.00000	4.05	0.00
SCUBA Female 10 ft	103	74.12	26.47	131.40	46.93	1.31280	4.13	10.00
SCUBA Female 20 ft	104	72.41	25.86	116.39	41.57	1.62540	4.20	20.00
SCUBA Female 50 ft	109	67.79	24.21	88.94	31.76	2.56350	4.41	50.00
SCUBA Female 100 ft	116	61.40	21.93	65.88	23.53	4.12699	4.75	100.00
SCUBA Female 200 ft	129	51.92	18.54	44.75	15.98	7.25400	5.39	200.00
SCUBA Female 300 ft	140	45.21	16.15	34.31	12.25	10.38100	5.98	300.00

Mu1= 1x10^6
	F @ r	D R N ptp	D R N rms	D R Nr ptp	D R Nr rms	N	Nr	Depth Ft.
SCUBA Female 0 ft	44	289.74	103.48	352.99	126.07	1.00000	1.48	0.00
SCUBA Female 10 ft	47	256.92	91.76	285.78	102.06	1.31280	1.62	10.00
SCUBA Female 20 ft	51	231.45	82.66	240.61	85.93	1.62540	1.76	20.00
SCUBA Female 50 ft	59	180.21	64.36	163.85	58.52	2.56350	2.12	50.00
SCUBA Female 100 ft	71	134.05	47.87	107.33	38.33	4.12699	2.65	100.00
SCUBA Female 200 ft	90	91.19	32.57	63.63	22.73	7.25400	3.53	200.00
SCUBA Female 300 ft	106	70.39	25.14	45.25	16.16	10.38100	4.29	300.00


HUMAN LUNG

Adult Male Lung	6 L. @ surface

Mu1 = 1x10^6
	F @ r	D R N ptp	D R N rms	D R Nr ptp	D R Nr rms	N	Nr	Depth Ft.
Human Lung (frm Birch) @ 5 M	52	212.78	75.99	244.60	87.36	1.51300	2.00	16.41

Human Lung Male 0 ft	40	319.81	114.22	388.14	138.62	1.00000	1.47	0.00
Human Lung Male 10 ft	47	245.60	87.71	287.22	102.58	1.31280	1.80	10.00
Human Lung Male 20 ft	54	197.62	70.58	225.34	80.48	1.62540	2.11	20.00
Human Lung Male 100Hz	101	72.51	25.90	76.76	27.41	4.00000	4.48	95.94
Human Lung Male 200Hz	201	24.18	8.64	24.69