An analy'ical sol'tion based on the superposition method is developed for the first time for the free vibration of the title problem. While it will be seen that the line support is replaced by point supΨ±rorts, convergence tests show that a limited number of point supports provide exceflent solution
Free Vibration Analysis of Clamped Rectangular Plates With Line Support Along the Diagonals
β Scribed by N. Li; D.J. Gorman
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 223 KB
- Volume
- 173
- Category
- Article
- ISSN
- 0022-460X
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β¦ Synopsis
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 carried out. Computed eigenvalues for the first four free vibration modes of plates with a wide range of plate geometries are tabulated and contour plots for mode shapes are presented for some typical plates. This represents, to the authors' knowledge, the first comprehensive study of this problem.
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