Doubly asymptotic approximations for transient motions of submerged structures

Journal of the Acoustical Society of America

Volumn 64, Issue 5, 1978, Pages 1500-1508

  Geers, Thomas L ^a  

^a LOCKHEED MARTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

OCEAN ENGINEERING - STRUCTURES;

SUBMERGED STRUCTURES;

ACOUSTICS, UNDERWATER;

EID: 0018035525     PISSN: 00014966     EISSN: NA     Source Type: Journal    
DOI: 10.1121/1.382093     Document Type: Article

References (24)

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2. T. L. Geers, “Residual Potential and Approximate Methods for Three-Dimensional Fluid-Structure Interaction Problems, ” J. Acoust. Soc. Am. 49, 1505–1510 (1971).
3. D. Rantlet et al., “Elastic Response of Submerged Shells with Internally Attached Structures to Shock Loading, ” Comput. Struct. 7, 355–364 (1977).
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9. K. C. Park, C. A. Felippa, and J. A. DeRuntz, “Stabilization of Staggered Solution Procedures for Fluid-Structure Interaction Analysis, ” Computational. Methods for Fluid-Structure Interaction Problems, edited by T. Belytschko and T. L. Geers (ASME, New York, 1977), AMD-Vol. 26, pp. 95–124.
10. J. A. DeRuntz, T. L. Geers, and C. A. Felippa, “The Underwater Shock Analysis (USA) Code, A Reference Manual,” DNA Rep. 4524F, Defense Nuclear Agency, Washington, DC (1978).
11. C. R. Rao and S. K. Mitra, Generalized Inverse of Matrices and Its Applications (Wiley, New York, 1971).
12. Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun, NBS Appl. Math. Ser. 55 (U. S. Dept. of Commerce, Washington, DC, 1964).
13. Y. N. Mnevand A. K. Pertsev, Hydroelasticity of Shells, FTD-MT-24-119-71 (Foreign Technol. Div., Wright-Patter-son Air Force Base, OH, 1971).
14. M. C. Junger and D. Feit, Sound, Structures, and Their Interaction (MIT Press, Cambridge, MA, 1972).
15. H. Kraus, Thin Elastic Shells (Wiley, New York, 1967).
16. C. A. Felippa and T. L. Geers, “Free Vibrations of Submerged Shells” (in press).
17. H. Huang, “A Qualitative Appraisal of the Doubly Asymptotic Approximation for Transient Analysis of Submerged Structures Excited by Weak Shock Waves, ” NRL Mem. Rep. 3135, Naval Res. Lab., Washington, DC (1975).
18. T. L. Geers, “Excitation of an Elastic Cylindrical Shell by a Transient Acoustic Wave, ” J. Appl. Mech. 36, 459–469 (1969).
19. T. L. Geers, “Scattering of a Transient Acoustic Wave by an Elastic Cylindrical Shell,” J. Acoust. Soc. Am. 51, 1640–1651 (1972).
20. T. L. Geers and C.L. Yen, “Transient Excitation of a Spherical Shell Embedded in an Elastic Medium” (in press).
21. H. Huang, G. C. Everstine, and Y. F. Wang, “Retarded Potential Techniques for the Analysis of Submerged Structures Impinged by Weak Shock Waves, ” Computational Methods for Fluid-Structure Interaction Problems, edited by T. Belytsch ko and T. L. Geers (ASME, New York, N. Y., 1977), AMD-Vol. 26, pp. 83–93.
22. H. Huang (private communication) (September 1977).
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24. G. Chertock, “Integral Equation Methods in Sound Radiation and Scattering from Arbitrary Surfaces, ” NSRDC Rep. 3538, Naval Ship Res. Develop. Ctr., Washington, DC (1971). BlFor a few surface geometries, coupling does not occur; the spherical surface is one of these.