Generalized differential quadrature method for the free vibration of truncated conical panels

Journal of Sound and Vibration

Volumn 251, Issue 2, 2002, Pages 329-348

  Lam, K Y ^a   Li, H ^a   Ng, T Y ^a   Chua, C F ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

AEROSPACE APPLICATIONS; APPROXIMATION THEORY; BOUNDARY CONDITIONS; COMPUTER SIMULATION; DEGREES OF FREEDOM (MECHANICS); DIFFERENTIAL EQUATIONS; FINITE ELEMENT METHOD; FOURIER TRANSFORMS; MARINE APPLICATIONS; SHELLS (STRUCTURES); STRUCTURAL DESIGN; STRUCTURAL PANELS;

GENERALIZED DIFFERENTIAL QUADRATURE METHOD; TRUNCATED CONICAL PANELS; WAVE NUMBERS;

VIBRATIONS (MECHANICAL);

EID: 0037149791     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.2001.3993     Document Type: Article

References (29)

1. C. H. Chang 1981 The Shock and Vibration Digest 13, 9-17. Vibration of conical shells.
2. H. Saunders, E. J. Wisniewski and P. R. Paslay 1960 Journal of the Acoustical Society of America 32, 765-772. Vibration of conical shells.
3. J. E. Goldberg, J. L. Bogdanoff and L. Marcus 1960 Journal of the Acoustic Society of America 32, 738-742. On the calculation of the axisymmetric modes and frequencies of conical shells.
4. A. Kalnins 1964 Journal of the Acoustical Society of America 36, 1355-1363. Free vibration of rotationally symmetric shells.
5. H. Garnet and J. Kemper 1964 American Society of Mechanical Engineers Journal of Applied Mechanics 31, 458-466. Axisymmetric free vibration of conical shells.
6. C. C. Siu and C. W. Bert 1970 Journal of the Acoustic Society of America 47, 943-945. Free vibration analysis of sandwich conical shells with free edges.
7. T. Irie, G. Yamada and Y. Kaneko 1982 Journal of Sound and Vibration 82, 83-94. Free vibration of a conical shell with variable thickness.
8. T. Irie, G. Yamada and Y. Kaneko 1982 Journal of Sound and Vibration 92, 447-453. Natural frequencies of truncated conical shells.
9. L. Tong 1993 International Journal of Engineering Science 31, 719-733. Free vibration of orthotropic conical shells.
10. L. Tong 1993 International Journal of Mechanical Sciences 35, 47-61. Free vibration of composite laminated conical shells.
11. C. Shu 1996 International Journal of Mechanical Sciences 38, 935-949. An efficient approach for free vibration analysis of conical shells.
12. Y. L. Wang, R. H. Liu and X. W. Wang 1999 Journal of Sound and Vibration 224, 387-394. Free vibration analysis of truncated conical shells by the differential quadrature method.
13. J. N. Rossettos and R. F. Parisse 1969 American Society of Mechanical Engineers Journal of Applied Mechanics 36, 271-276. The dynamic response of cylindrical and conical panels.
14. D. G. Ashwell and R. Gallagher 1976 Finite Element Thin Shell Analysis. New York: John Wiley.
15. D. G. Ashwell and R. Gallagher 1976 Finite Element for Thin Shell and Curve Members. New York: John Wiley.
16. D. Teichmann 1985 American Institute of Aeronautics and Astronautics Journal 23, 1634-1637. An approximation of the lowest eigenfrequencies and buckling loads of cylindrical and conical shell panels under initial stress.
17. R. S. Srinivasan and P. A. Krishnan 1987 Journal of Sound and Vibration 117, 153-160. Free vibration of conical shell panels.
18. 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.
19. Y. M. Grigorenko, N. N. Kryukov and O. M. Shutovsky 1990 Dopovidi Akademii Nauk Ukrainskoi RSR Seriya A-Fiziko-Matematichni ta Technichni Nauki 10, 37-41. Solution of 2-dimensional problems on deformation of non-shallow conical panels on the spline-approximation basis.
20. K. M. Liew and M. K. Lim 1995 Engineering Structures 17, 63-70. Vibratory behaviour of shallow conical shells by a global Ritz formulation.
21. C. W. Lim and K. M. Liew 1995 International Journal of Solids and Structures 33, 451-468. Vibration of shallow conical shells with shear flexibility: a first order theory.
22. C. W. Lim and S. Kitipornchai 1999 Journal of Sound and Vibration 219, 813-835. Effects of subtended and vertex angles on the free vibration of open conical shell panels: a conical co-ordinate approach.
23. N. S. Bardell, J. M. Dunsdon and R. S. Langley 1998 Journal of Sound and Vibration 217, 297-320. A h-p finite element analysis of open conical sandwich panels and conical sandwich frusta.
24. C. W. Bert and M. Malik 1996 Applied Mechanics Reviews 49, 1-28. Differential quadrature method in computational mechanics: a review.
25. R. H. Gutierrez, P. A. A. Laura and R. E. Rossi 1994 Ocean Engineering 21, 57-66. The method of differential quadrature and its application to the approximate solution of ocean engineering problems.
26. K. Y. Lam and H. Li 1997 International Journal of Solids and Structures 34, 2183-2197. Vibration analysis of a rotating truncated circular conical shell.
27. A. E. H. Love 1927 A Treatise on the Mathematical Theory of Elasticity. New York: Cambridge University Press; fourth edition.
28. J. R. Kuttler and V. G. Sigillito 1981 Journal of Sound and Vibration 75, 585-588. On curve veering.
29. N. C. Perkins and C. D. Mote 1986 Journal of Sound and Vibration 106, 451-463. Comments on curve veering in eigenvalue problems.