Natural frequencies of vibration of a class of solids composed of layers of isotropic materials

International Journal of Mechanical Sciences

Volumn 39, Issue 1, 1997, Pages 97-104

  Young, P G ^a   Dickinson, S M ^a  

^a UNIVERSITY OF WESTERN ONTARIO   (Canada)

Author keywords

Lagered solids; Natural frequencies; Solids; Vibrations

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL METHODS; GEOMETRY; INTERFACES (MATERIALS); MATHEMATICAL MODELS; NATURAL FREQUENCIES; POLYNOMIALS; SURFACES; VIBRATIONS (MECHANICAL);

CARTESIAN COORDINATE SYSTEM; ISOTROPIC MATERIALS; LAGERED SOLIDS;

SOLIDS;

EID: 0031060033     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/0020-7403(96)00008-2     Document Type: Article

References (12)

1. E. R. Lapwood and T. Usami, Free Oscillations of the Earth. Cambridge University Press, Cambridge, U.K. (1981).
2. Y. M. Grigorenko and T. N. Kilina, Analysis of the frequencies and modes of natural vibration of laminated hollow spheres in two and three dimensional formulations. Sov. Appl. Mech. 25, 1165-1171 (1990).
3. A. E. Armenakas, D. C. Gazis and G. Herrmann, Free Vibrations of Circular Cylindrical Shells. Pergamon Press, New York (1969).
4. A. E. Armenakas, Torsional waves in composite rods. J. Acoust. Soc. Am. 38, 439-446 (1965).
5. A. E. Armenakas, Propagation of harmonic waves in composite circular cylindrical shells. I: theoretical investigation. AIAA. Jl 5, 740-744 (1967).
6. A. E. Armenakas, Propagation of harmonic waves in composite circular cylindrical rods. J. Acoust. Soc. Am. 47, 822-837 (1970).
7. A. E. Armenakas and H. E. Keck, Harmonic non-axisymmetric waves with short wavelengths propagating in composite rods. J. Acoust. Soc. Am. 48, 1160-1169 (1970).
8. J. L. Lai, E. H. Dowell and T. R. Taucher, Propagation of harmonic waves in a composite elastic cylinder. J. Acoust. Soc. Am. 49, 220-228 (1971).
9. K. P. Soldatos, Review of three-dimensional dynamic analyses of circular cylinders and cylindrical shells. Appl. Mech. Rev. 47, 501-516 (1994).
10. P. G. Young and S. M. Dickinson, Free vibration of a class of solids with cavities. Int. J. Mech. Sci. 36, 1099-1107 (1994).
11. B. L. Jiao and R. Siems, Elastic Bloch waves in composite materials: variational methods and boundary conditions. J. Phys. D: Appl. Phys. 27, 347-355 (1994).
12. H. Jiang, P. G. Young and S. M. Dickinson, Natural frequencies of vibration of layered hollow spheres using exact three dimensional elasticity equations. J. Sound Vib. (in press).