The Definition of Linear Frequencies of Bending Vibrations of Magnetoelastic Cylindrical Shell by Exact Space Treatment

The Definition of Linear Frequencies of Bending Vibrations of Magnetoelastic Cylindrical Shell by... The free bending vibrations of magnetoelastic cylindrical shell in axial magnetic field are considered. The solution is carried out by developed for elastic plates by V. Novatsky exact space method which is applied by ourselves to solution of magnetoelasticity equations without any hypothesis. Obtained by means of exact solution dispersion relation between frequency and wave number of vibration of shell is investigated numerically and obtained tables for real part of frequency with respect to wave, number and field are compared with those obtained by averaged treatment based on Kirkhoff hypothesis. The results are quite different which shows that in contrast to the elastic bending vibrations for magnetoelastic plates and shells mentioned hypothesis are not applicable. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Multidiscipline Modeling in Materials and Structures Emerald Publishing

The Definition of Linear Frequencies of Bending Vibrations of Magnetoelastic Cylindrical Shell by Exact Space Treatment

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Publisher
Emerald Group Publishing Limited
Copyright
Copyright © 2007 Emerald Group Publishing Limited. All rights reserved.
ISSN
1573-6105
D.O.I.
10.1163/157361107781360095
Publisher site
See Article on Publisher Site

Abstract

The free bending vibrations of magnetoelastic cylindrical shell in axial magnetic field are considered. The solution is carried out by developed for elastic plates by V. Novatsky exact space method which is applied by ourselves to solution of magnetoelasticity equations without any hypothesis. Obtained by means of exact solution dispersion relation between frequency and wave number of vibration of shell is investigated numerically and obtained tables for real part of frequency with respect to wave, number and field are compared with those obtained by averaged treatment based on Kirkhoff hypothesis. The results are quite different which shows that in contrast to the elastic bending vibrations for magnetoelastic plates and shells mentioned hypothesis are not applicable.

Journal

Multidiscipline Modeling in Materials and StructuresEmerald Publishing

Published: Jan 1, 2007

Keywords: Magnetoelasticity; Bending; Vibrations; Treatment

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