A note on the vibration of transversely isotropic solid spheres

Journal of Sound and Vibration

Volumn 253, Issue 3, 2002, Pages 724-732

  Buchanan, G R ^a   Ramirez, G R ^a  

^a Tennessee Technological University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD; MATHEMATICAL MODELS; NATURAL FREQUENCIES; SOLIDS; SPHERES;

SOLID ISOTROPIC SPHERES; SPHEROIDAL FREQUENCIES; TOROIDAL FREQUENCIES;

VIBRATIONS (MECHANICAL);

EID: 0037030825     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.2001.4054     Document Type: Article

References (12)

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2. Y. Sato and T. Usami 1962 Geophysical Magazine 31, 15-24. Basic study on the oscillation of a homogeneous elastic sphere I: frequency of free oscillations.
3. E. R. Lapwood and T. Usami 1961 Free Oscillations of the Earth. Cambridge: Cambridge University Press.
4. P. R. Heyliger and A. Jilani 1992 International Journal of Solids and Structures 29, 2689-2708. The free vibrations of inhomogeneous elastic cylinders and spheres.
5. K T. Chau 1998 Journal of Applied Mechanics 65, 59-65. Toroidal vibrations of anisotropic spheres with spherical isotropy.
6. W. Q. Chen and H. J. Ding 2001 International Journal of Mechanical Sciences 43, 667-680. Free vibration of multi-layered spherically isotropic hollow spheres.
7. G. R. Buchanan and B. S. Rich Journal of Vibration and Control, in press. Effect of boundary conditions on free vibration of thick spherical shells.
8. R. G. Payton 1983 Elastic Wave Propagation in Transversely Isotropic Media. The Hague: Martinus Nijhoff.
9. S. Hosseini-Hashemi and J. S. Anderson 1988 Journal of Sound and Vibration 121, 511-524. Orthogonality and normalization of torsional modes of vibration of solid elastic spheres.
10. P. J. Schafbuch, F. J. Rizzo and R. B. Thompson 1992 Journal of Applied Mechanics 59, 458-459. Eigenfrequencies of an elastic sphere with fixed boundary conditions.
11. W. Q. Chen, J. B. Cai, G. R. Ye and H. J. Ding 2000 Journal of Applied Mechanics 67, 422-424. On eigenfrequencies of an anisotropic sphere.
12. H. Cohen, A. H. Shah and C. V. Ramakrishnan 1972 Acustica 26, 329-333. Free vibrations of a spherically isotropic hollow sphere.