On exact analysis of free vibrations of embedded transversely isotropic cylindrical shells

International Journal of Pressure Vessels and Piping

Volumn 75, Issue 13, 1998, Pages 961-966

  Chen, Wei Qiu ^a   Ding, Hao Jiang ^a   Xu, Rong Qiao ^a  

^a ZHEJIANG UNIVERSITY   (China)

Author keywords

Cylindrical shell; Free vibration; Pasternak model; Transversely isotropic elasticity

Indexed keywords

CYLINDERS (SHAPES); EIGENVALUES AND EIGENFUNCTIONS; ELASTICITY; EQUATIONS OF MOTION; FUNCTIONS; MATHEMATICAL MODELS; STRUCTURAL ANALYSIS; VIBRATIONS (MECHANICAL);

BESSEL FUNCTION; WINKLER-PASTERNAK MODEL;

SHELLS (STRUCTURES);

CYLINDER;

EID: 0032215259     PISSN: 03080161     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0308-0161(98)00060-X     Document Type: Article

References (15)

1. Chau KT. Vibration of transversely isotropic circular cylinders. J Appl Mech, 1994;61:964-970.
2. Ding HJ, Chen B, Liang J. General solutions for coupled equations for piezoelectric media. Int J Solids Struct, 1996;33:2283-2298.
3. Greenspon JE. Vibrations of a thick-walled cylindrical shell. J Acoust Soc Am, 1960;32:571-578.
4. Jain RK. Vibration of fluid-filled orthotropic cylindrical shells. J Sound Vibr, 1974;37:379-388.
5. Men FL, Yuan XM. Vibration of fluid-filled pipeline buried in soil. J Pressure Vessel Technol, 1990;112:386-391.
6. Mirsky I. Vibrations of orthotropic, thick, cylindrical shells. J Acoust Soc Am, 1964;36:41-51.
7. Mirsky I. Axisymmetric vibrations of orthotropic cylinders. J Acoust Soc Am, 1964;36:2106-2112.
8. Mirsky I. Wave propagation in transversely isotropic circular cylinders (Parts I and II). J Acoust Soc Am, 1965;37:1016-1026.
9. Nowinski J. Thermoelastic states in a thick-walled orthotropic cylinder surrounded by an elastic medium. Bull l'Academic Polonaise Sci, 1957;5:19-22.
10. Paliwal DN, Pandey RK, Nath T. Free vibrations of circular cylindrical shell on Winkler and Pasternak foundations. Int J Pressure Vessel Piping, 1996;69:79-89.
11. Soldatos KP. Review of three-dimensional dynamic analyses of circular cylinders and cylindrical shells. Appl Mech Rev, 1994;47:501-516.
12. Soldatos KP, Hadhgeorgiou VP. Three-dimensional solution of the free vibration problem of homogeneous isotropic cylindrical shells and panels. J Sound Vibr, 1990;137:369-384.
13. Upadhyay PC, Mishra BK. Non-axisymmetric dynamic response of buried orthotropic cylindrical shells. J Sound Vibr, 1988;121:149-160.
14. Wong KC, Datta SK, Shah AH. Three-dimensional motion of buried pipeline, I: analysis. ASCE J Engng Mech, 1986;112:1319-1337.
15. Yu YY, Syracuse NY. Free vibrations of thin cylindrical shells having finite lengths with freely supported and clamped edges. J Appl Mech, 1955;22:547-552.