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. Succ
Transverse vibration of a circular plate with unidirectional quadratic thickness variation
β Scribed by Bani Singh; Vipin Saxena
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 487 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0020-7403
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π SIMILAR VOLUMES
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.
The Rayleigh-Ritz method has been used to find the first four frequencies, mode shapes and nodal radii for axisymmetric vibration of a circular plate when the thickness varies exponentially with the radial distance. Results are given for a clamped as well as simply supported boundary for various val
The title problem is solved using very simple polynomial co-ordinate functions and a variational approach. Rather general boundary conditions are assumed at the edge support. It is shown that the approach is valid jor axi-and antisymmetric modal configurations.