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Journal of Engineering Mathematics

Erschienen in:

01.04.2014

Eigenoscillations of a thin-walled azimuthally closed, axially open shell of revolution

verfasst von: I. Gavrilyuk, M. Hermann, V. Trotsenko, Yu. Trotsenko, A. Timokha

Erschienen in: Journal of Engineering Mathematics | Ausgabe 1/2014

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Abstract

This paper generalizes earlier authors’ results on the analytical approximation of the singularly perturbed boundary problem describing the eigenoscillations of a thin-walled axisymmetric shell. The asymptotic behavior of the eigenmodes at the clamped ends is studied, and a set of trial functions capturing this behavior is constructed to be used in the Ritz method. Illustrative numerical examples demonstrate a fast convergence so that the eigenmodes are accurately approximated in a uniform metric together with their second-, third-, and fourth-order derivatives. The numerical results are validated by comparing them with an asymptotic eigensolution and computations done by the ANSYS codes based on the finite-element method.

Vorheriger Artikel Analytical study of slightly eccentric core–annular flow

Nächster Artikel D’Alembert sums for a vibrating bar with viscous ends

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Titel: Eigenoscillations of a thin-walled azimuthally closed, axially open shell of revolution
verfasst von: I. Gavrilyuk
M. Hermann
V. Trotsenko
Yu. Trotsenko
A. Timokha
Publikationsdatum: 01.04.2014
Verlag: Springer Netherlands
Erschienen in: Journal of Engineering Mathematics / Ausgabe 1/2014
Print ISSN: 0022-0833
Elektronische ISSN: 1573-2703
DOI: https://doi.org/10.1007/s10665-013-9626-9

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