Free vibration of thin, isotropic, open, conical panels

Journal of Sound and Vibration

Volumn 217, Issue 2, 1998, Pages 297-320

  Bardell, N S ^a   Dunsdon, J M ^a   Langley, R S ^a  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; NATURAL FREQUENCIES; STRUCTURAL ANALYSIS; VIBRATIONS (MECHANICAL);

FREE VIBRATION ANALYSIS; LOVE'S THIN SHELL EQUATIONS;

STRUCTURAL PANELS;

EID: 0032183312     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1998.1761     Document Type: Article

References (25)

1. C. H. CHANG 1981 The Shock and Vibration Digest 13, 9-17. Vibrations of conical shells.
2. A. W. LEISSA 1973 Vibration of Shells. NASA SP288 (Chapter 5).
3. A. E. H. LOVE 1927 A Treatise on the Mathematical Theory of Elasticity. New York: Dover, fourth edition.
4. M. J. O. STRUTT 1933 Annalen der Physik 17, 729-735. Free vibration of conical shells.
5. A. T. VAN URK and G. B. HUT 1933 Annalen der Physik 17, 915-920. Radial vibrations of aluminium cones.
6. N. W. MCLACHLAN 1934 Loudspeakers. Oxford: Clarendon Press.
7. W. C. L. HU 1964 Technical Report No. 1, Contract NASr-94(06), Southwest Research Institute. A survey of the literature on the vibrations of thin shells.
8. C. T. TANG 1964 Scientia Sinica 13, 1192-1210. The vibration modes and eigenfrequencies of circular conical (and cylindrical) shells.
9. V. I. WEINGARTEN 1965 ASCE Journal of Engineering, Mechanical Division 91(EM4), 69-87. Free vibrations of conical shells.
10. K. M. LIEW, C. W. LIM and S. KITIPORNCHAI 1997 Applied Mechanics Review 50, 431-444. Vibration of shallow shells: a review with bibliography.
11. J. N. ROSSETTOS and R. F. PARISSE 1969 Transactions of ASME, Journal of Applied Mechanics, Paper No. 69-APM-22. The dynamic response of cylindrical and conical panels.
12. D. TEICHMANN 1985 American Institute of Aeronautics and Astronautics Journal 23, 1634-1637. An approximation of the lowest eigen frequencies and buckling loads of cylindrical and conical shell panels under initial stress.
13. R. S. SRINIVASAN and P. A. KRISHNAN 1987 Journal of Sound and Vibration 117, 153-160. Free vibration of conical shell panels.
14. Y. K. CHEUNG, W. Y. Li and L. G. THAM 1989 Journal of Sound and Vibration 128, 411-422. Free vibration analysis of singly curved shell by spline finite strip method.
15. C. W. LIM and K. M. LIEW 1995 Engineering Structures 17, 63-70. Vibratory behaviour of shallow conical shells by a global Ritz formulation.
16. K. M. LIEW, M. K. LIM, C. W. LIM, D. B. Li and Y. R. ZHANG 1995 Journal of Sound and Vibration 180, 271-296. Effects of initial twist and thickness variation on the vibration behaviour of shallow conical shells.
17. C. W. LIM and K. M. LIEW 1996 International Journal of Solids and Structures 33, 451-468. Vibration of shallow conical shells with shear flexibility: a first-order theory.
18. C. W. LIM, K. M. LIEW and S. KITIPORNCHAI 1998 International Journal of Solids and Structures 35, 1695-1707. Vibration of cantilevered laminated composite shallow conical shells.
19. O. C. ZIENKIEWICZ, J. P. DE, R. GAGO and D. W. KELLY 1983 Computers and Structures 16, 53-65. The hierarchical concept in finite element analysis.
20. I. BABUSKA and B. GUO 1986 Computational Mechanics 1, 21-41. The h-p version of the finite element method, Part 1: the basic approximation results.
21. O. BESLIN and J. NICOLAS 1997 Journal of Sound and Vibration 202, 633-655. A hierarchical functions set for predicting very high order plate bending modes with any boundary conditions.
22. N. S. BARDELL, R. S. LANGLEY and J. M. DUNSDON 1997 Journal of Sound and Vibration 207, 647-669. On the free vibration of completely free, open, cylindrically curved, isotropic shell panels.
23. W. SOEDEL 1993 Vibrations of Shells and Plates. New York: Dekker, second edition.
24. D01AKF. The NAG FORTRAN Workshop Library Handbook - Release 1. Oxford: NAG, 1986.
25. ANSYS version 5.3, 201 Johnson Road, Houston, PA 15342-1300, U.S.A.