In this paper, an accurate analytical type solution for the free vibration of clamped rectangular plates with line support along the diagonals, corner-to-corner, is developed by the superposition method. A modification of line support, as established earlier, is used and convergence tests are carrie
Free Vibration Analysis of Rectangular Plates With Step-Wise Discontinuities in Rotational Stiffness Along the Edges
β Scribed by D.J. Gorman
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 352 KB
- Volume
- 166
- Category
- Article
- ISSN
- 0022-460X
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β¦ Synopsis
A general analytical solution, based on the superposition method, is developed for the free vibration analysis of rectangular plates with an arbitrarily distributed elastic rotational restraint along the edges. In particular, it is shown that problems of current interest, where step discontinuities exist in the stiffness distributions, are readily handled. Lateral displacement along the edges is forbidden. The method is easy to employ, convergence is rapid, and computed results are tabulated so that other researchers will have data against which their results can be compared. This appears to be the first comprehensive solution for this problem to appear in the literature.
π SIMILAR VOLUMES
This paper deals with the solution of the title problem in the case of an orthotropic plate with three edges elastically restrained against rotation whilst transverse displacement is prevented. It is assumed that the fourth edge is elastically restrained against rotation and translation. The natura
By means of the analytical-and-numerical-combined method (ANCM), the natural frequencies and the corresponding mode shapes of a uniform rectangular flat plate carrying any number of point masses and translational springs are determined. The boundary (supported) conditions of the plate and the magnit