Free and forced vibration of cross-ply laminated composite shallow arches

International Journal of Solids and Structures

Volumn 34, Issue 10, 1997, Pages 1217-1234

  Khdeir, A A ^a   Reddy, J N ^b  

^a MIDDLE EAST TECHNICAL UNIVERSITY   (Turkey)

^b Texas AandM University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; DYNAMIC RESPONSE; LAMINATED COMPOSITES; NUMERICAL METHODS; VIBRATIONS (MECHANICAL);

FREE VIBRATION; POISSON EFFECTS;

ARCHES;

EID: 0031125786     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(96)00095-9     Document Type: Article

References (28)

1. Ahmed, K. M. (1971) Free vibrations of curved sandwich beams by the method of finite elements. Journal of Sound and Vibration 18, 61-74.
2. Ahmed, K. M. (1972) Dynamic analysis of sandwich beams. Journal of Sound and Vibration 21, 263-276.
3. Bellow, D. G. and Semeniuk, A. (1972) Symmetrical and unsymmetrical forced excitation of thin circular arches. International Journal of Mechanical Sciences 14, 185-195.
4. Collins, J. S. and Johnson, E. R. (1992) Static and dynamic response of graphite-epoxy curved frames. Journal of Composite Materials 26, 792-803.
5. DiTaranto. R. A. (1973) Free and forced response of a laminated ring. Journal of the Acoustical Society of America 53, 748-757.
6. Irie, T., Yamada, G. and Tanaka, K. (1982) Natural frequencies of out of plane vibrations of circular arcs. Journal of Applied Mechanics 49, 910-913.
7. Irie, T., Yamada, G. and Tanaka, K. (1983) Natural frequency of in plane vibration of arcs. Journal of Applied Mechanics 50, 449-452.
8. Issa, M. S., Wang, T. M. and Hsiao, B. T. (1987) Extensional vibrations of continuous circular curved beams with rotary inertia and shear deformation, I Free vibration. Journal of Sound and Vibration 114, 297-308.
9. Khdeir, A. A. and Reddy, J. N. (1990) Influence of edge conditions on the modal characteristics of cross-ply laminated shells. Computers and Structures 34, 817-826.
10. Khdeir, A. A. (1994) Dynamic response of cross-ply shallow shells with Levy-type boundary conditions, AIAA Journal 32, 2484-2486.
11. Khdeir, A. A. and Reddy, J. N. (1994) Free vibration of cross-ply laminated beams with arbitrary boundary conditions. International Journal of Engineering Science 32, 1971-1980.
12. Khdeir, A. A. (1995a) Dynamic response of cross-ply laminated circular cylindrical shells with various boundary conditions. Acta Mechanica 112, 117-134.
13. Khdeir, A. A. (1995b) Transient response of refined cross-ply laminated plates for various boundary conditions. Journal of the Acoustical Society of America 97, 1664-1669.
14. Khdeir, A. A. (1995c) Forced vibration of antisymmetric angle-ply laminated plates with various boundary conditions. Journal of Sound and Vibration 188, 257-267.
15. Khdeir, A. A. (1996) Dynamic response of antisymmetric cross-ply laminated composite beams with arbitrary boundary conditions. International Journal of Engineering Science 34, 9-19.
16. Laura, P. A. A. and Maurizi, M. J. (1987) Recent research on vibrations of arch-type structures. Shock Vibration Digest 19, 6-9.
17. Markus, S. and Nanasi, T. (1981) Vibrations of curved beams. Shock Vibration Digest 7, 3-14.
18. Nayfeh, A. H. (1981) Introduction to Perturbation Techniques, Wiley, New York.
19. Qatu, M. S. (1992) In-plane vibration of slightly curved laminated composite beams. Journal of Sound and Vibration 159, 327-338.
20. Qatu, M. S. (1993) Theories and analyses of thin and moderately thick laminated composite curved beams. International Journal of Solids and Structures 30, 2743-2756.
21. Reddy, J. N. and Liu, C. F. (1985) A higher order shear deformation theory of laminated elastic shells. International Journal of Engineering Science 23, 319-330.
22. Rossettos, J. N. (1971) Vibration of slightly curved beams of transversely isotropic composite materials. AIAA Journal 9, 2273-2275.
23. Rossettos, J. N. and Squires, D. C. (1973) Modes and frequencies of transversely isotropic slightly curved Timoshenko beams. Journal of Applied Mechanics 40, 1029-1033.
24. Sagartz, M. J. (1977) Transient response of three layered rings. Journal of Applied Mechanics 44, 299-304.
25. Scrivener, S. L. (1989) In-plane vibrations of a transversely isotropic arch. M.Sc. thesis, Virginia Polytechnic Institute and State University.
26. Singh, M. P. and Abdelnaser, A. S. (1992) Random response of symmetric cross-ply composite beams with arbitrary boundary conditions. AIAA Journal 30, 1081-1088.
27. Wang, T. M. and Guilbert, M. P. (1981) Effects of rotary inertia and shear on natural frequencies of continuous circular curved beams. International Journal of Solids and Structures 17, 281-289.
28. Wang, T. M. and Issa, M. S. (1987) Extensional vibrations of continuous circular curved beams with rotary inertia and shear deformation, II Forced vibrations. Journal of Sound and Vibration 114, 309-323.