Magneto-elastic radial vibrations of a transversely isotropic hollow cylinder
type: Item
instance of: scholarly article
title: Magneto-elastic radial vibrations of a transversely isotropic hollow cylinder
zbMATH Open document ID: 0895.73057
DOI: 10.1007/BF03167393
published in: Japan Journal of Industrial and Applied Mathematics
publication date: 1997-10-28T00:00:00Z
review text: The radial vibrations of a thick, transversely isotropic elastic circular cylinder subjected to a uniform axial magnetic field are considered, and the frequency equation is derived in determinant form. Numerical results are provided for the first four roots of the frequency equation, for different thicknesses of the cylinder, and for different intensities of the magnetic field. The investigation shows that the frequency increases when the thickness decreases, for all modes of vibration. Also, it is noticed that the effect of the magnetic field on the mode frequency becomes less significant for higher modes.
Mathematics Subject Classification ID: 74F15
Mathematics Subject Classification ID: 74H45
zbMATH DE Number: 1080133
zbMATH Keywords: uniform axial magnetic field
zbMATH Keywords: frequency equation
author: Abo-el-nour N. Abd-alla
reviewed by: Ahmed Ghaleb
MaRDI profile type: Publication
cites work: Q5522115
cites work: Torsional wave propagation in magneto‐elastic solids with modified Maxwell Stress
cites work: Q4039763
cites work: Torsional wave propagation in an orthotropic magneto-elastic hollow circular cylinder
full work available at URL: https://doi.org/10.1007/bf03167393
OpenAlex ID: W2064327296
description: scientific article; zbMATH DE number 1080133