A passive isolation approach to reduce the sound pressure radiated by a submarine is presented. The submerged vessel is modeled as a stiffened cylindrical hull partitioned by bulkheads and with two end caps of conical shape. Fluctuating forces from the propeller are transmitted to the hull through the shaft and a rigid foundation, resulting in axisymmetric excitation of the hull. The hull surface motion is mainly in the axial direction with a small radial component due to the coupling between the two orthogonal shell displacements. The sound pressure resulting from the axial motion is radiated from the end caps of the submarine. This work investigates reduction of the far field sound pressure by passive isolation of the end caps from the main hull. Isolation of the axial motion of the end caps from the cylindrical hull results in significant reduction of the radiated sound at low frequencies. The fluid loading approximation for a finite cylindrical shell in the low frequency range is also discussed.

1.
Seol
,
H.
,
Jung
,
B.
,
Suh
,
J. -C.
, and
Lee
,
S.
, 2002, “
Prediction of Non-Cavitating Underwater Propeller Noise
,”
J. Sound Vib.
0022-460X,
257
, pp.
131
156
.
2.
Sukhanov
,
S. O.
,
Maliutin
,
A. A.
, and
Myshinsky
,
E.
, 2000, “
Reduction of Propeller Induced Hull Vibration
,”
Proceedings of InterNoise 2000
, Nice, France, Aug. 27–30.
3.
Rigby
,
C. P.
, 1948, “
Longitudinal Vibration of Marine Propeller Shafting
,”
Journal of the American Society for Naval Engineers
,
60
, pp.
341
365
.
4.
Dylejko
,
P. G.
, 2007, “
Optimum Resonance Changer for Submerged Vessel Signature Reduction
,” Ph.D. thesis, University of New South Wales, Sydney, Australia.
5.
Goodwin
,
A. J. H.
, 1960, “
The Design of a Resonance Changer to Overcome Excessive Axial Vibration of Propeller Shafting
,”
Inst. Marine Engineers
,
72
, pp.
37
63
.
6.
Merz
,
S.
,
Kessissoglou
,
N. J.
,
Kinns
,
R.
, and
Marburg
,
S.
, 2010, “
Minimisation of the Sound Power Radiated by a Submarine Through Optimisation of Its Resonance Changer
,”
J. Sound Vib.
0022-460X,
329
, pp.
980
993
.
7.
Parkins
,
D. W.
, and
Horner
,
D.
, 1989, “
Active Magnetic Control of Oscillatory Axial Shaft Vibrations in Ship Shaft Transmission Systems, Part 1: System Natural Frequencies and Laboratory Scale Model
,”
Trans. ASME, J. Tribol.
0742-4787,
32
, pp.
170
178
.
8.
Oberst
,
H.
, 1957,
Technical Aspects of Sound
,
Elsevier
,
Amsterdam
.
9.
Pan
,
X.
,
Tso
,
Y.
, and
Juniper
,
R.
, 2008, “
Active Control of Radiated Pressure of a Submarine Hull
,”
J. Sound Vib.
0022-460X,
311
, pp.
224
242
.
10.
Pan
,
X.
,
Tso
,
Y.
, and
Juniper
,
R.
, 2008, “
Active Control of Low-Frequency Hull-Radiated Noise
,”
J. Sound Vib.
0022-460X,
313
, pp.
29
45
.
11.
Caresta
,
M.
, and
Kessissoglou
,
N. J.
, 2010, “
Acoustic Signature of a Submarine Hull Under Harmonic Excitation
,”
Appl. Acoust.
0003-682X,
71
, pp.
17
31
.
12.
Rosen
,
A.
, and
Singer
,
J.
, 1974, “
Vibrations of Axially Loaded Stiffened Cylindrical Shells
,”
J. Sound Vib.
0022-460X,
34
, pp.
357
378
.
13.
Junger
,
M. C.
, and
Feit
,
D.
, 1986,
Sound, Structures, and Their Interaction
,
MIT
,
Cambridge, MA
.
14.
Scott
,
J. F. M.
, 1988, “
The Free Modes of Propagation of an Infinite Fluid-Loaded Thin Cylindrical Shell
,”
J. Sound Vib.
0022-460X,
125
, pp.
241
280
.
15.
Abramowitz
,
M.
, and
Stegun
,
I. A.
, 1972,
Handbook of Mathematical Functions With Formulas, Graphs, and Mathematical Tables
,
Dover
,
New York
.
16.
Leissa
,
A. W.
, 1993,
Vibration of Shells
,
American Institute of Physics
,
New York
.
17.
Smith
,
P. W.
, Jr.
, 1955, “
Phase Velocities and Displacement Characteristics of Free Waves in a Thin Cylindrical Shell
,”
J. Acoust. Soc. Am.
0001-4966,
27
, pp.
1065
1072
.
18.
Junger
,
M. C.
, 1953, “
The Physical Interpretation of the Expression for an Outgoing Wave in Cylindrical Coordinates
,”
J. Acoust. Soc. Am.
0001-4966,
25
, pp.
40
47
.
19.
Leissa
,
A. W.
, 1993,
Vibration of Plates
,
American Institute of Physics
,
New York
.
20.
Caresta
,
M.
, and
Kessissoglou
,
N. J.
, 2008, “
Vibration of Fluid Loaded Conical Shells
,”
J. Acoust. Soc. Am.
0001-4966,
124
, pp.
2068
2077
.
21.
Inman
,
D. J.
, 2001,
Engineering Vibration
,
Prentice-Hall
,
Englewood Cliffs, NJ
.
22.
Skelton
,
E. A.
, and
James
,
J. H.
, 1997,
Theoretical Acoustics of Underwater Structures
,
Imperial College
,
London
.
You do not currently have access to this content.