Vibration of shallow conical shells with shear flexibility: A first-order theory

International Journal of Solids and Structures

Volumn 33, Issue 4, 1996, Pages 451-468

  Lim, C W ^a,b   Liew, K M ^a  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

^b UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

INTEGRAL EQUATIONS; MATHEMATICAL MODELS; SHEAR DEFORMATION; SHEAR STRESS; STRAIN MEASUREMENT; STRUCTURAL ANALYSIS; STRUCTURAL PANELS; VIBRATIONS (MECHANICAL);

SHALLOW CONICAL SHELLS; SHEAR FLEXIBILITY;

SHELLS (STRUCTURES);

EID: 0030082114     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/0020-7683(95)00051-B     Document Type: Article

References (23)

1. Chang, C. H. (1981). Vibration of conical shells. Shock Vibr. Digest 13, 9-17.
2. Cheung, Y. K., Li, W. Y. and Tham, L. G. (1989). Free vibration analysis of sinaly curved shell by spline finite strip method. J. Sound Vibr. 128, 411-422.
3. Irie, T., Yamada, G. and Kaneko, Y (1982). Free vibration of a conical shell with variable thickness. J. Sound Vibr. 82, 83-94.
4. Irie, T., Yamada, G. and Tanaka, K. (1984). Natural frequencies of truncated conical shells. J. Sound Vibr. 92, 447-453.
5. Kabir, H. R. H. and Chaudhun, R. A. (1991). Free vibration of shear-flexible anti-symmetric single-ply doubly-curved panels. Int. J. Solids Structures 28, 17-32.
6. Leissa, A. W. (1981). Vibrational aspects of rotating turbomachinery blades. Appl. Mech. Rev. 34, 629-635.
7. Leissa, A. W., Lee, J. K. and Wang, A. J. (1982). Rotating blade vibration analysis using shells. ASME J. Engng Pwr 104, 296-302.
8. Liew, K. M. and Lim, C. W. (1994). Vibratory characteristics of cantilevered rectangular shallow shells of variable thickness. AIAA Journal 32, 387-396.
9. Liew, K. M., Lim, C. W. and Ong, L. S. (1994). Vibration of pretwisted cantilevered shallow conical shells. Int. J. Solids Structures 31, 2463-2476.
10. Liew, K. M., Lim, M. K., Lim, C. W., Li, D. B. and Zhang, Y. R. (1995). Effects of initial twist and thickness variation on the vibration behaviour of shallow conical shells. J. Sound Vibr. 180, 271-296.
11. Lim, C. W. and Liew, K. M. (1995). The vibration behaviour of shallow conical shells by a global Ritz formulation. Engng Structures 17, 63-70.
12. Mindlin, R. D. (1951). Influence of rotators inertia and shear on flexural motion of isotropic, elastic plates. ASME J. Appl. Mech. 18, 31-38.
13. Rao, J. S. (1973). Natural frequencies of turbine blading - a survey. Shock Vibr. Digest 5, 3-16.
14. Rao, J. S. (1977). Turbine blading excitation and vibration. Shock Vibr. Digest 9, 15-22.
15. Rao, J. S. (1980). Turbomachine blade vibration. Shock Vibr. Digest 12, 19-26.
16. Reddy, J. N. (1984). Exact solutions of moderately thick laminated shells. ASCE J. Engng Mech. 110, 794-809.
17. Sivadas, K. R. and Ganesan, N. (1992). Vibration analysis of thick composite clamped conical shells of varying thickness. J. Sound Vibr. 152, 27-37.
18. Srinivasan, R. S. and Hosur, V. (1989). Axisymmetric vibration of thick conical shells. J. Sound Vibr. 135, 171-176.
19. Srinivasan, R. S. and Krishnan, P. A. (1987). Free vibration of conical shell panels. J. Sound Vibr. 117, 153-160.
20. Takahashi, S., Suzuki, K., Anzai, E. and Kosawada, T. (1982). Axisymmetric vibration of conical shells with variable thickness. Bull. Jap. Soc. Mech. Engrs 25, 1771-1780.
21. Takahashi, S., Suzuki, K. and Kosawada, T. (1985). Vibrations of conical shells with variable thickness (continued). Bull. Jap. Soc. Mech. Engrs 28, 117-123.
22. Takahashi, S., Suzuki, K. and Kosawada, T. (1986). Vibrations of conical shells with variable thickness (third report : analysis by the higher order improved theory). Bull Jap. Soc. Mech. Engrs 29, 4306-4311.
23. Teichmann, D. (1985). An approximation of the lowest eigen frequencies and buckling loads of cylindrical and conical shell panels under initial stress. AIAA J. 23, 1634-1637.