Free vibration analysis of Mindlin plates with uniform elastic edge support by the superposition method

Journal of Sound and Vibration

Volumn 207, Issue 3, 1997, Pages 335-350

  Gorman, D J ^a  

^a UNIVERSITY OF OTTAWA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ASPECT RATIO; CONVERGENCE OF NUMERICAL METHODS; CURVE FITTING; EIGENVALUES AND EIGENFUNCTIONS; ELASTICITY; STIFFNESS; VIBRATIONS (MECHANICAL);

MINDLIN THICK PLATE THEORY; SUPERPOSITION METHOD;

PLATES (STRUCTURAL COMPONENTS);

EID: 0031248487     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1997.1107     Document Type: Article

References (11)

1. G. B. WARBURTON and S. L. EDNEY 1984 Journal of Sound and Vibration 95, 537-552. Vibrations of rectangular plates with elastically restrained edges.
2. C. S. KIM, P. G. YOUNG and S. M. DICKINSON 1990 Journal of Sound and Vibration 143, 379-394. On the flexural vibration of rectangular plates approached by using simple polynomials in the Rayleigh-Ritz method.
3. D. J. GORMAN 1989 Journal of Applied Mechanics 56, 893-899. A comprehensive study of the free vibration of rectangular plates resting on symmetrically distributed uniform elastic edge supports.
4. D. J. GORMAN 1990 Journal of Sound and Vibration 139, 325-335. A general solution for the free vibration of rectangular plates resting on uniform elastic edge support.
5. D. J. GORMAN 1993 Journal of Sound and Vibration 163, 1-12. Free vibration analysis of rectangular plates with step-wise discontinuities in rotational stiffness along the edges.
6. D. J. GORMAN 1994 Journal of Sound and Vibration 174, 451-459. A general solution for the free vibration of rectangular plates with arbitrarily distributed lateral and rotational elastic edge support.
7. K. N. SAHA, R. C. KAR and P. K. DATTA Journal of Sound and Vibration 192, 885-904. Free vibration analysis of rectangualr Mindlin plates with elastic restraints uniformly distributed along the edges.
8. S. D. YU and W. L. CLEGHORN 1992 Proceedings of a Symposium on Engineering Applications of Mechanics, University of Regina, Regina Saskatchewan, 11-13 May, 226-230. Accurate free vibration analysis of clamped Mindlin plates using the method of superposition.
9. D. J. GORMAN 1996 Journal of Sound and Vibration 189, 341-353. Accurate free vibration analysis of the completely free rectangular Mindlin plate.
10. S. D. YU and W. L. CLEGHORN 1993 93-CSME-14, E.I.C. Accession No 2331, 17, 2. Accurate free vibration analysis of clamped Mindlin plates using the method of superposition.
11. D. J. GORMAN 1990 Journal of Sound and Vibration 139, 325-335. A general solution for the free vibration of rectangular plates resting on uniform elastic edge supports.