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A note on the vibration and stability of a circular plate elastically restrained against rotation

โœ Scribed by P.A.A. Laura; J.C. Paloto; R.D. Santos


Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
180 KB
Volume
41
Category
Article
ISSN
0022-460X

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โœฆ Synopsis


This note deals with the determination of the fundamental frequency of vibration of a thin, elastic plate elastically restrained against rotation along the boundary and subjected to a hydrostatic state of in-plane stress. A simple approximate expression is obtained which also allows calculation of the buckling pressure. Whenever it has been possible, the results have been compared with values existing in the open technical literature and very good agreement is shown to exist.


๐Ÿ“œ SIMILAR VOLUMES


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This letter deals with the analysis of axially symmetric modes of vibrations of a thin, elastic plate elastically restrained against rotation along the edge arid subjected to a hydrostatic state of in-plane stress. This investigation constitutes an extension of a recent publication .

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Simple, approximate frequency equations are derived. They allow prediction of eigenvalues in the case of a vibrating circular plate of linearly varying thickness which executes antisymmetric modes. It is assumed that the plate has no edge deflection but is elas= tically restrained against rotation a