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Non-linear vibrations of circular plates with linearly varying thickness

✍ Scribed by J. Ramachandran

Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
306 KB
Volume
38
Category
Article
ISSN
0022-460X

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✦ Synopsis

In this paper, the influence of large amplitudes on free ftexurai vibrations of circular plates with linearly varying thickness is analysed. Berger's assumption is used to derive the basic governing equations. Galerkin's averaging procedure is used to reduce the original equation to a system of ordinary differential equations with time as the independent variable, the solution of which is obtained by using the Wegstein iteration technique. Some numerical results are given, both clamped and simply-supported edge conditions being considered.

πŸ“œ SIMILAR VOLUMES

Transverse vibrations of circular plates
Transverse vibrations of circular plates of linearly varying thicknesses
✍ Ricardo O. Grossi; Patricio A.A. Laura πŸ“‚ Article πŸ“… 1980 πŸ› Elsevier Science 🌐 English βš– 301 KB

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.