Transient fluid--solid interaction of submerged spherical shells revisited: Proliferation of frequencies and acoustic radiation effects

Journal Article · Mon Aug 01 04:00:00 EDT 1994 · Journal of the Acoustical Society of America; (United States)

DOI:https://doi.org/10.1121/1.410266· OSTI ID:7273063

Jones-Oliveira, J B ^[1]; Harten, L P ^[2]

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1. Lawrence Livermore National Laboratory, P.O. Box 808, Livermore, California 94551 (United States)
2. Paradigm Associates, Inc., 29 Putnam Avenue, Cambridge, Massachusetts 02139 (United States)

The exact series solutions for the transient shell displacement and fluid pressure fields resulting from the axisymmetric acoustic loading of a submerged, thin elastic, spherical shell are well known. Plots of the shell displacements, velocities, accelerations, strains, and strain rates have been published previously. Further investigation for the more general prolate spheroidal geometry has elucidated a complex exchange of energy between the structure and the fluid through the kinematic boundary conditions, which is presented herein for the simpler spherical geometry. The importance of the time evolution of the acoustic radiation coupling to the structure is discussed, including phase information. A comparison of the unloaded versus fluid-loaded frequencies for an example problem demonstrates the softening'' effect of the fluid on the structural response and reveals it to be more complex than simple damping. The reloading of the shell due to radiation in the fluid introduces a proliferation of frequencies in the structural response which is characteristic of fluid--solid interaction problems. The computer algebra system PARAMACS is used to perform the analytical and numerical calculations.

• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 7273063
• Journal Information: Journal of the Acoustical Society of America; (United States), Journal Name: Journal of the Acoustical Society of America; (United States) Vol. 96:2; ISSN 0001-4966; ISSN JASMAN
• Country of Publication: United States
• Language: English

Related Subjects

661300* -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOUNDARY-VALUE PROBLEMS
COMPUTER CODES
CONFIGURATION
MECHANICAL VIBRATIONS
P CODES
SHELLS
SOUND WAVES
SPHERICAL CONFIGURATION
STATIC LOADS
TRANSIENTS