The study of the dynamic behaviour of circular plates with stepped thickness is of interest in view of their use in the construction of high frequency transducers. A simple analytical approach which allows for the prediction of their natural frequencies is proposed in the present Note.
TRANSVERSE VIBRATION OF SKEW PLATES WITH VARIABLE THICKNESS
โ Scribed by B. Singh; V. Saxena
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 300 KB
- Volume
- 206
- Category
- Article
- ISSN
- 0022-460X
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โฆ Synopsis
The Rayleigh-Ritz method has been used to study the transverse vibrations of skew plates of variable thickness with different combinations of boundary conditions at the four edges. The two-dimensional thickness variation is taken as the Cartesian product of linear variations along the two concurrent edges of the plate. The first three frequencies and mode shapes have been computed by using successive approximations. Convergence of results is ensured by working out several approximations until the results converge to four significant digits. In special cases, comparisons have been made with results that are available in the literature. Mode shapes have also been plotted for some selected cases.
๐ SIMILAR VOLUMES
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