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TRANSVERSE VIBRATION OF A RECTANGULAR PLATE WITH BIDIRECTIONAL THICKNESS VARIATION

✍ Scribed by B. Singh; V. Saxena

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
302 KB
Volume
198
Category
Article
ISSN
0022-460X

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✦ Synopsis

The transverse vibrations of a rectangular plate of variable thickness have been investigated with different combinations of boundary conditions at the four edges. The thickness variation is bidirectional and is the cartesian product of linear variations along two concurrent edges of the plate. Successive approximations have been worked out by the Rayleigh-Ritz method using basis functions satisfying essential boundary conditions. Convergence is ensured by taking a sufficient number of approximations. Extensive numerical work has been carried out to obtain the first three frequencies. For some selected cases the mode shapes have also been plotted. Comparison is made with results available in the literature for special cases.

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