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.
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1 January 2007
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January 01 2007
The Definition of Linear Frequencies of Bending Vibrations of Magnetoelastic Cylindrical Shell by Exact Space Treatment Available to Purchase
A G Bagdoev;
A G Bagdoev
Institute of Mechanics, Armenian National Academy of Sciences, Marshal Baghramyan 24b, Yerevan, 375019, Armenia
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A G Vardanyan;
A G Vardanyan
Institute of Mechanics, Armenian National Academy of Sciences, Marshal Baghramyan 24b, Yerevan, 375019, Armenia
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S V Vardanyan
S V Vardanyan
Institute of Mechanics, Armenian National Academy of Sciences, Marshal Baghramyan 24b, Yerevan, 375019, Armenia
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Publisher: Emerald Publishing
Online ISSN: 1573-6113
Print ISSN: 1573-6105
© Emerald Group Publishing Limited
2007
Multidiscipline Modeling in Materials and Structures (2007) 3 (1): 107–119.
Citation
Bagdoev AG, Vardanyan AG, Vardanyan SV (2007), "The Definition of Linear Frequencies of Bending Vibrations of Magnetoelastic Cylindrical Shell by Exact Space Treatment". Multidiscipline Modeling in Materials and Structures, Vol. 3 No. 1 pp. 107–119, doi: https://doi.org/10.1163/157361107781360095
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