Free vibration analysis of rectangular plates with variable thickness

Journal of Sound and Vibration

Volumn 216, Issue 3, 1998, Pages 379-397

  Sakiyama, T ^a   Huang, M ^a  

^a NAGASAKI UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000642568     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1998.1732     Document Type: Article

References (23)

1. F. C. APPL and N. R. BYERS 1965 Journal of Applied Mechanics 32, 163-167. Fundamental frequency of simply supported rectangular plates with linearly varying thickness.
2. R. PLUNKETT 1963 Journal of Mechanical Engineering Science 5, 146-156. Natural frequencies of uniform and non-uniform rectangular cantilever plates.
3. T. IRIE, G. YAMADA and H. IKARI 1980 International Journal of Mechanical Science 22, 767-777. Natural frequencies of stepped thickness rectangular plates.
4. R. H. GUTIERREZ, P. A. A. LAURA and R. O. GROSSI 1980 Journal of Sound and Vibration 69, 285-295. Transverse vibrations of plates with stepped thickness over a concentric region.
5. P. A. A. LAURA, R. O. GROSSI and S. R. SONI 1979 Journal of Sound and Vibration 62, 493-503. Free vibrations of a rectangular plate of variable thickness elastically restrained against rotation along three edges and free on the fourth edge.
6. J. R. KUTTLER and V. G. SIGILLITO 1983 Journal of Sound and Vibration 86, 181-189. Vibrational frequencies of clamped plates of variable thickness.
7. G. AKSU and S. A. AL-KAABI 1987 Journal of Sound and Vibration 119, 189-205. Free vibration analysis of Mindlin plates with linearly varying thickness.
8. R. B. BHAT, P. A. A. LAURA, R. H. GUTIERREZ, V. H. CORTINEZ and H. C. SANZI 1990 Journal of Sound and Vibration 138, 205-219. Numerical experiments on the determination of natural frequencies of transverse vibrations of rectangular plates of non uniform thickness.
9. A. R. KUKRETI, J. FARSA and C. W. BERT 1992 Journal of Engineering Mechanics 118, 1221-1238. Fundamental frequency of tapered plates by differential quadrature method.
10. R. H. GUTIERREZ and P. A. A. LAURA 1994 Journal of Sound and Vibration 178, 563-566. Vibrations of rectangular plates with linearly varying thickness and non-uniform boundary conditions.
11. P. K. ROY and N. GANESAN 1995 Journal of Sound and Vibration 182, 355-367. Studies on the dynamic behaviour of a square plate with varying thickness.
12. R. O. GROSSI and R. B. BHAT 1995 Journal of Sound and Vibration 185, 335-343. Natural frequencies of edge restrained tapered rectangular plates.
13. R. H. GUTIERREZ, P. A. A. LAURA, H. C. SANZI and G. ELVIRA 1995 Journal of Sound and Vibration 185, 910-914. Vibrations of a rectangular plate of non-uniform thickness partially embedded in a Winkler medium.
14. S. A. AL-KAABI and G. AKSU 1988 Journal of Sound and Vibration 123, 373-379. Natural frequencies of Mindlin plates of bilinearly varying thickness.
15. R. H. GUTIERREZ, P. A. A. LAURA and R. O. GROSSI 1981 Journal of Sound and Vibration 75, 323-328. Vibrations of rectangular plate of bilinearly varying thickness and with general boundary conditions.
16. P. A. A. LAURA, R. O. GROSSI and G. I. CARNEIRO 1979 Journal of Sound and Vibration 63, 499-505. Transverse vibration of rectangular plates with thickness varying two directions and with edges elastically restrained against rotation.
17. T. SAKIYAMA and H. MATSUDA 1983 Proceedings of Japan Society of Civil Engineers 338, 21-28. Bending analysis of rectangular plates with variable thickness.
18. A. W. LEISSA 1969 NASA SP-160, 43-45. Vibration of plates.
19. R. W. CLAASSEN and C. J. THORNE 1960 NOTS Tech. Pub. 2379, NAVWEPS Rept. 7016. U.S. Naval Ordnance Test Station. Transverse vibrations of thin rectangular isotropic plates.
20. V. V. BOLOTIN 1961 Inshen. Sbornik. 31, 3-14. Dynamic edge effect in the elastic vibrations of plates.
21. R. W. CLAASSEN and C. J. THORNE 1962 Journal of Aerospace Science 29, 1300-1305. Vibrations of a rectangular cantilever plate.
22. D. YOUNG 1950 Journal of Applied Mechanics 17, 448-453. Vibration of rectangular plates by the Ritz method.
23. K. M. LIEW, K. C. HUNG and M. K. LIM 1995 Journal of Sound and Vibration 182, 77-90. Vibration of Mindlin plates using boundary characteristic orthogonal polynomials.