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NATURAL VIBRATION ANALYSIS OF CLAMPED RECTANGULAR ORTHOTROPIC PLATES

✍ Scribed by m. dalaei; a.d. kerr

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
353 KB
Volume
189
Category
Article
ISSN
0022-460X

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✦ Synopsis

The natural vibrations of clamped rectangular orthotropic plates are analyzed using the extended Kantorovich method. The developed iterative scheme converges very rapidly to the final result. The obtained natural frequencies are evaluated for a square plate made of Kevlar 49 Epoxy and the obtained results are compared with those published by Kanazawa and Kawai, and by Leissa. The agreement was found to be very close. As there are no exact analytical solutions for clamped rectangular plates, the generated closed form expression for the natural modes, and the corresponding natural frequencies, are very suitable for use in engineering analyses.

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COMMENTS ON β€œNATURAL VIBRATION ANALYSIS
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The authors are to be congratulated for their interesting application of the extended Kantorovich method for treating the problem of free vibrations of a clamped rectangular orthotropic thin plate [1]. On the other hand, Dalaei and Keer [1] determine fundamental frequencies only for a very limited n

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✍ N. Li; D.J. Gorman πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 223 KB

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