An analysis of the transverse vibration of nonhomogeneous orthotropic viscoelastic circular plates of parabolically varying thickness in the radial direction is presented. The thickness of a circular plate varies parabolically in a radial direction. For nonhomogeneity of the circular plate material,
Transverse vibrations of circular plates of linearly varying thicknesses
โ Scribed by Ricardo O. Grossi; Patricio A.A. Laura
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 301 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0003-682X
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โฆ Synopsis
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.
๐ 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 title problem is solved assuming that the thickness varies symmetrically with respect to the x-axis. The edges defined by x = \_ a/2 are elastically restrained against rotation while the remaining edges are clamped or simply supported. Approximate expressions for four of the lower natural frequ