Natural frequencies of an elastic spherically isotropic hollow sphere submerged in a compressible fluid medium

Journal of Sound and Vibration

Volumn 192, Issue 1, 1996, Pages 173-198

  Ding, H J ^a   Chen, W Q ^a  

^a ZHEJIANG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

COMPRESSIBILITY; ELASTICITY; FLUIDS; NATURAL FREQUENCIES; NUMERICAL METHODS; SHELLS (STRUCTURES); SPHERES; STRAIN; THREE DIMENSIONAL;

BREATHING MODE; COMPRESSIBLE FLUID; FREQUENCY EQUATIONS; NON-AXISYMMETRIC FREE VIBRATIONS; SHELL THEORY; THREE DIMENSIONAL ELASTIC THEORY;

VIBRATIONS (MECHANICAL);

EID: 0030121532     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1996.0182     Document Type: Article

References (26)

1. M. C. JUNGER 1952 Journal of Applied Mechanics 19, 439-445. Vibrations of elastic shells in a fluid medium and the associated radiation of sound.
2. R. RAND and F. L. DIMAGGIO 1967 Journal of the Acoustical Society of America 42, 1278-1286. Vibrations of fluid-filled spherical and spheroidal shells.
3. Y. K. LOU 1973 Journal of Applied Mechanics 40, 388-394. A perturbation method for low-frequency fluid structure interaction problem.
4. Y. K. LOU and T. C. SU 1978 Journal of the Acoustical Society of America 63, 1402-1408. Free oscillations of submerged spherical shells.
5. T. C. SU and Y. K. LOU 1975 Journal of Engineering for Industry 97, 1338-1344. The effect of viscosity on the dynamics of a submerged spherical shell.
6. T. C. SU 1981 Journal of Sound and Vibration 77, 101-125. The effect of viscosity on free vibrations of submerged fluid-filled spherical shells.
7. T. C. SU 1982 Journal of Sound and Vibration 83, 163-169. Natural frequencies of an elastic spherical shell submerged in a compressible viscous fluid medium.
8. A. F. CARLOS and L. G. THOMAS 1981 Journal of the Acoustical Society of America 67, 1427-1431. Axisymmetric free vibration of a submerged spherical shell.
9. M. MAITI 1975 Journal of Engineering Mechanics Division, Proceedings of ASCE 101, 101-108. Stresses in anisotropic nonhomogeneous sphere.
10. A. E. H. LOVE 1927 A Treatise on the Mathematical Theory of Elasticity. New York: Dover. See pp. 278-287.
11. S. G. LEKHNITSKII 1981 Theory of Elasticity of an Anisotropic Elastic Body. Moscow: Mir Publishers. See pp. 19-21, 411-415.
12. H. C. HU 1954 Acta Scientia Sinica 3, 247-260. On the general theory of elasticity for a spherically isotropic medium.
13. G. EASON 1963 Applied Scientific Research, Section A 12, 81-85. On the vibration of anisotropic cylinders and spheres.
14. Y. HOU and F. B. HE 1992 Chinese Journal of Applied Mechanics 9, 58-65. The free torsional vibration of transversely isotropic spherical shell. (In Chinese.)
15. H. COHEN and A. H. SHAH 1972 Acustica 26, 329-333. Free vibrations of a spherically isotropic hollow sphere.
16. H. J. DING, Y. J. REN, D. Q. ZOU and W. Q. CHEN 1994 Acta Mechanica Sinica 26, 186-197. The displacement method of spherically isotropic elasticity. (In Chinese.)
17. C. V. RAMAKRISHNAN and A. H. SHAH 1970 Journal of the Acoustical Society of America 47, 1366-1374. Vibration of an aeolotropic spherical shell.
18. C. C. CHAO and Y. C. CHERN 1988 Journal of Composite Materials 22, 1116-1130. Axisymmetric free vibration of orthotropic complete spherical shells.
19. M. C. NARASIMHAN 1992 Journal of the Acoustical Society of America 91, 2714-2720. Dynamic response of laminated orthotropic spherical shell.
20. D. Q. ZOU, J. LIANG and H. J. DING 1994 Journal of Zhejiang University (Natural Sicence) 28, 273-282. General solution of transversely isotropic elasticity problem. (In Chinese.)
21. I. MIRSKY 1964 Journal of the Acoustical Society of America 36, 2106-2112. Axisymmetric vibrations of orthotropic cylinders.
22. S. HAYEK 1966 Journal of the Acoustical Society of America 40, 342-348. Vibration of a spherical shell in an acoustical medium.
23. A. SILBIGER 1962 Journal of the Acoustical Society of America 34, 862. Non-axisymmetric modes of vibrations of thin spherical shell.
24. C. PRASAD 1964 Journal of the Acoustical Society of America 36, 489-494. On vibrations of spherical shells.
25. A. H. SHAH and C. V. RAMAKRISHNAN 1969 Journal of Applied Mechanics 36, 431-439. Three-dimensional and shell analysis of elastic waves in a hollow sphere, part 1: analytical foundation.
26. W. E. BAKER 1961 Journal of the Acoustical Society of America 33, 1749-1758. Axisymetric modes of vibration of thin spherical shell.