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Synthesis of the dispersion curves for a cylindrical shell on the basis of approximate theories

✍ Scribed by V.L. Beresin; L. Yu. Kossovich; J.D. Kaplunov

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
486 KB
Volume
186
Category
Article
ISSN
0022-460X

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✦ Synopsis

Approximate asymptotic theories are applied to the total synthesis of the dispersion curves for a cylindrical shell as for a three-dimensional elastic body. The Kirchhoff-Love theory and the theory of high frequency, long wave vibrations are used in the vicinity of zero frequency and in the vicinities of the thickness resonance frequencies, respectively. The theory of high frequency, short wave vibrations is used outside these vicinities. It is shown that the range of applicability of the theory of high frequency, short wave vibrations overlaps those of the Kirchhoff-Love theory and the theory of high frequency, long wave vibrations. The efficiency of the proposed approach is illustrated by a numerical example.

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