In a previous paper [I], the authors have presented the solutions for the normal mode vibrations of an n-plate system. In that paper the numerical results were limited to the frequencies and mode shapes of some representative models of double plate systems. In the present paper additional numerical
Normal modes of elastically connected circular plates
โ Scribed by V.X. Kunukkasseril; A.S.J. Swamidas
- Book ID
- 104153216
- Publisher
- Elsevier Science
- Year
- 1973
- Tongue
- English
- Weight
- 392 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0022-460X
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โฆ Synopsis
Exact closed-form solutions are obtained in terms of Bessel and allied functions for the free vibrations of elastically connected n-plate systems. Detailed analysis has been worked out for an elastically connected double plate system. Frequency equations are developed for some of the interesting combinations of the edge conditions. It is shown that simple characteristic equations can be obtained for systems with identical plates with similar edge conditions. Numerical results are obtained for some of the representative cases which would illustrate the various important aspects of free vibrations of elastically connected plate systems.
๐ SIMILAR VOLUMES
In the bending and vibration problems, it is found that the values of deflection and natural frequency vary considerably with change of end or edge conditions. In this paper a general boundary condition involving a linear relation between moment and slope at an edge is considered, so that the simply
The free vibration problem of a system of two rectangular plates connected by a non-homogeneous elastic layer is considered. An integral formulation of the problem by using properties of Green's functions is achieved and by application of a quadrature method to the integral equation, the frequency e