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An asymptotic theory for circular cylindrical shells

โœ Scribed by Frithiof I. Niordson

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
271 KB
Volume
37
Category
Article
ISSN
0020-7683

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โœฆ Synopsis

We derive the two-dimensional shell equations for a circular cylindrical shell by means of an asymptotic expansion of the three-dimensional elastic state. The assumptions involved are of mathematical character only and concern the continuity, dierentiability and convergence of the series used. A numerical comparison between the frequencies obtained by the two-dimensional shell equations and the three-dimensional state in the case of free vibrations is presented in a few examples.

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