An efficient and accurate numerical method in the study of the vibration of rectangular plates with cutouts and non-homogeneity is presented. By dividing the problem domain into appropriate rectangular segments, the deflection function for the originally complex domain can easily be found. The metho
Vibration Analysis of Annular Plates with Concentric Supports Using a Variant of Rayleigh-Ritz Method
β Scribed by C.M. Wang; V. Thevendran
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 352 KB
- Volume
- 163
- Category
- Article
- ISSN
- 0022-460X
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β¦ Synopsis
A variant of the Rayleigh-Ritz method is presented for solving the free vibration problem of annular plates with internal axisymmetric supports. The method is simple, accurate and may be readily programmed and run on a microcomputer. A comprehensive tabulation of the fundamental frequencies is presented for isotropic annular plates with an internal concentric support. Results for full circular plates with concentric supports are also obtained by making the inner radial edge free and permitting the inner radius to become very small.
π SIMILAR VOLUMES
Letter to the Editors ## COMMENTS ON 'VIBRATION ANALYSIS OF PLATES WITH CUTOUTS BY THE MODIFIED RAYLEIGH-RITZ METHOD' Dr K. Y. Lam and coworkers must be congratulated for their interesting contribution and useful results. 1 It is felt, however, that a more careful mathematical analysis is needed
This paper presents a set of comprehensive and accurate results for the free-flexural vibration of triangular plates of arbitrary boundary conditions with/without curved internal supports. These results are presented for ten distinct cases involving the combinations of free, simply supported or clam
In this paper, the free vibrations of a wide range of non-uniform rectangular plates in one or two directions are considered. The domain of the plate is bounded by x = a 1 a, a and y = b 1 b, b in rectangular co-ordinates. The thickness of the plate is continuously varying and proportional to the po