A perturbation approach for evaluating natural frequencies of moderately thick elliptic plates

Journal of Sound and Vibration

Volumn 281, Issue 3-5, 2005, Pages 905-919

  Kaplunov, J D ^a   Nolde, E V ^b   Shorr, B F ^c  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

^b INSTITUTE FOR PROBLEMS IN MECHANICS   (Russian Federation)

^c CENTRAL INSTITUTE OF AVIATION MOTORS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; BENDING (DEFORMATION); EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; NATURAL FREQUENCIES; PERTURBATION TECHNIQUES; VIBRATIONS (MECHANICAL);

PLATE BENDING; PLATE EDGES; THICK ELLIPTIC PLATES; THIN PLATES;

PLATES (STRUCTURAL COMPONENTS);

EID: 13444259413     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jsv.2004.02.046     Document Type: Article

References (14)

1. A.L. Goldenveizer, J.D. Kaplunov, and E.V. Nolde On Timoshenko-Reissner type theories of plates and shells International Journal of Solids and Structures 30 1993 675 694
2. J.D. Kaplunov, L.Yu. Kossovich, and E.V. Nolde Dynamics of Thin Walled Elastic Bodies 1998 Academic Press San Diego
3. Y. Shibaoka On the transverse vibration of an elliptic plate with clamped edge Journal of the Physical Society of Japan 11 1956 797 803
4. R.P. McNitt Free vibration of a damped elliptic plate Journal of the Aerospace Sciences 29 1962 1124 1125
5. A.W. Leissa, Vibration of Plates, NASA Report SP-160, 1969.
6. K. Sato Free flexural vibrations of an elliptical plate with edge restrained elastically Bulletin of the JSME 19 129 1976 260 264
7. C. Rajalingham, and R.B. Bhat Axisymmetric vibration of circular plates and its analog in elliptical plates using characteristic orthogonal polynomials Journal of Sound and Vibration 161 1993 109 118
8. R. Parnes Vibrations of moderately elliptic clamped plates a perturbation scheme for eigenvalues Journal of Applied Mechanics 58 1991 724 728
9. L.D. Akulenko, S.V. Nesterov, and A.L. Popov Natural frequencies of an elliptic plate with clamped edge Izvestiya AN, Mekhanika Tverdogo Tela (Mechnics of Solids) 36 1 2001 174 180
10. C. Rajalingham, R.B. Bhat, and G.D. Xistris Vibration of clamped elliptical plates using exact circular plate modes as shape functions in Rayleigh-Ritz method International Journal of Mechanical Sciences 36 1994 231 246
11. J. Kaplunov, E. Nolde, and N. Veksler Determination of parameters of elastic layer by measured dispersion curves of zero-order Lamb-type waves Proceedings of the Estonian Academy of Sciences, Ser. Physics Mathematics 41 1 1992 39 48
12. R. Parnes, and A.I. Beltzer A higher-order boundary perturbation method for asymmetric dynamic problems in solids - 1. General formulation International Journal of Solids and Structures 22 1986 1177 1187
13. G.L. Komissarova Vibration analysis of a circular plate with clamped edge Prikladnaya Mekhanika (Soviet Applied Mechanics) 14 7 1978 82 87
14. R.D. Gregory, and F.Y.M. Wan On plate theories and Saint-Venant's principle International Journal of Solids and Structures 21 1985 1005 1024