Free vibration of polar orthotropic circular plates of variable thickness with elastically restrained edge

Journal of Sound and Vibration

Volumn 213, Issue 3, 1998, Pages 429-445

  Gupta, U S ^a   Ansari, A H ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY ROORKEE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000035442     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1997.1463     Document Type: Article

References (27)

1. A. W. LEISSA 1969 NASA Sp-160. National Aeronautics and Space Administration. Vibration of plates.
2. R. BARAKAT and E. BAUMANN 1968 Journal of the Acoustical Society of America 44, 641-643. Axisymmetric vibrations of a thin circular plate having parabolic thickness variation.
3. C. PRASAD, R. K. JAIN and S. R. SONI 1973 Journal of Sound and Vibration 26, 411-416. Axisymmetric vibrations of circular plates of linearly varying thickness.
4. S. M. VOGEL and D. W. SKINNER 1965 Journal of Applied Mechanics ASME 926-931. Natural frequencies of transversely vibrating uniform annular plates.
5. U. S. GUPTA and R. LAL 1978 Journal of Sound and Vibration 58, 501-507. Buckling and vibration of circular plates of variable thickness.
6. U. S. GUPTA and R. LAL 1979 Indian Journal of Pure and Applied Mathematics 10, 346-356. Vibration and buckling of parabolically tapered circular plates.
7. R. GELOS, G. M. FICCADENTI, R. O. GROSSI and P. A. A. LAURA 1981 Journal of Acoustical Society of America 69, 1326-1329. Vibration of circular plates with variable profile.
8. D. R. AVALOS, P. A. A. LAURA and A. M. BIANCHI 1987 Journal of Acoustical Society of America 82, 13-16. Analytical and experimental investigation on vibrating circular plates with stepped thickness over a concentric circular region.
9. Y. NARITA and A. W. LIESSA 1980 Journal of Sound and Vibration 70, 103-116. Transverse vibration of simply supported circular plates having partial elastic constraints.
10. A. W. LIESSA and Y. NARITA 1981 Journal of Applied Mechanics 48, 196-198. Vibration of free circular plates having elastic constraints and added mass distributed along the edge segments.
11. G. M. FICCADENTI and D. E. IGLESIAS 1986 Journal of Sound and Vibration 111, 173-175. Numerical experiments on vibrating circular plates of non-uniform thickness and variable rotational constraint along the edge.
12. T. IRIE, G. YAMADA and M. KITAYAMA 1983 Journal of Sound and Vibration 90, 81-90. Vibration and stability of a circular plate of unidirectionally varying thickness.
13. S. AZIMI 1988 Journal of Sound and Vibration 120, 19-35. Free vibration of circular plates with elastic edge supports using the Receptance method.
14. S. AZIMI 1988 Journal of Sound and Vibration 120, 37-52. Free vibration of circular plates with elastic or rigid interior support.
15. P. A. A. LAURA and R. H. GUTIERREZ 1991 Journal of Sound and Vibration 144, 149-167. Free vibration of a solid circular plate of linearly varying thickness and attached to a Winkler type foundation.
16. G. C. PARDOEN 1978 Computer and Structures 9, 89-95. Asymmetric vibration and stability of circular plates.
17. D. G. GUNARATNAM and A. P. BHATTACHARYA 1989 Journal of Sound and Vibration 137, 383-392. Transverse vibration and stability of polar orthotropic circular plates. High level relationship.
18. U. S. GUPTA, R. LAL and S. K. JAIN 1990 Journal of Sound and Vibration 139, 503-513. Effect of elastic foundation on axisymmetric vibrations of polar orthotropic circular plates of variable thickness.
19. U. S. GUPTA, R. LAL and S. K. JAIN 1991 Journal of Sound and Vibration 147, 423-434. Buckling and vibrations of polar orthotropic circular plates of linearly varying thickness resting on an elastic foundation.
20. U. S. GUPTA, R. LAL and S. K. JAIN 1993 Indian Journal of Pure and Applied Mathematics 24, 607-631. Vibration and buckling of parabolically tapered orthotropic circular plates on an elastic foundation.
21. U. S. GUPTA, R. LAL and R. SAGAR 1994 Indian Journal of Pure and Applied Mathematics 25, 1317-1326. Effect of elastic foundation on axisymmetric vibrations of polar orthotropic Mindlin circular plates.
22. C. T. DYKA and J. F. CARNEY 1979 American Society of Civil Engineers 105, 361-370. Vibrations of annular plates of variable thickness.
23. C. T. DYKA and J. F. CARNEY III 1979 Journal of Sound and Vibration 64, 223-231. Vibration and stability of spinning polar orthotropic annular plates reinforced with edge beams.
24. D. G. GORMAN 1982 Journal of Sound and Vibration 80, 145-154. Natural frequencies of polar orthotropic annular uniform plates.
25. D. G. GORMAN 1983 Journal of Sound and Vibration 86, 47-60. Natural frequencies of polar orthotropic variable thickness annular plates.
26. P. A. A. LAURA, G. C. PARDOEN, L. E. LUBONI and D. AVALOS 1981 Fibre Science and Technology 15, 65-77. Transverse vibration of axisymmetric polar orthotropic circular discs elastically restrained against rotation along the edge.
27. S. G. LEKHNITSKII, S. W. TSAI and T. CHERON 1968 Anisotropic Plates. Gordon & Breach.