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.
Transverse vibrations of circular plates with stepped thickness
โ Scribed by R.H. Gutierrez; P.A.A. Laura
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 160 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0003-682X
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โฆ Synopsis
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.
๐ SIMILAR VOLUMES
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
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,
Investigation has been made into various approaches for analyzing the vibration of plates with stepped thicknesses. First, attention has been paid to updating a classical approach for the analysis of such problems, correcting the boundary conditions cited in an earlier paper and dealing with the dif