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Analysis of lower modes of vibration of rectangular plates of linearly varying thickness

✍ Scribed by Patricio A.A. Laura; Lidia E. Luisoni

Publisher
Elsevier Science
Year
1979
Tongue
English
Weight
376 KB
Volume
12
Category
Article
ISSN
0003-682X

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✦ Synopsis

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 frequencies of vibration (including the fundamental) are given.

A forced vibrations situation is also dealt with.

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.

FREE VIBRATION ANALYSIS OF RECTANGULAR P
FREE VIBRATION ANALYSIS OF RECTANGULAR PLATES WITH VARIABLE THICKNESS
✍ T. Sakiyama; M. Huang πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 299 KB

An approximate method for analyzing the free vibration of thin and moderately thick rectangular plates with arbitrary variable thickness is proposed. The approximate method is based on the Green function of a rectangular plate. The Green function of a rectangular plate with arbitrary variable thickn