Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2008-5pp.808-814

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Total articles in the database: 10864
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A. G. Bagdoev and A. V. Vardanyan, "Analytical and numerical studies of free vibration frequencies of ferromagnetic plates with arbitrary electric conductance in a transverse magnetic field in the 3D setting," Mech. Solids. 43 (5), 808-814 (2008)
Year 2008 Volume 43 Number 5 Pages 808-814
DOI 10.3103/S0025654408050166
Title Analytical and numerical studies of free vibration frequencies of ferromagnetic plates with arbitrary electric conductance in a transverse magnetic field in the 3D setting
Author(s) A. G. Bagdoev (Institute of Mechanics, National Academy of Sciences of the Republic of Armenia, pr-t Marshala Bagramyana 24B, Erevan, 375019, Republic of Armenia, mechins@sci.am)
A. V. Vardanyan (Institute of Mechanics, National Academy of Sciences of the Republic of Armenia, pr-t Marshala Bagramyana 24B, Erevan, 375019, Republic of Armenia, vardanyan_a@yahoo.com)
Abstract The problem on the vibrations of a magnetoelastic ferromagnetic plate was studied in [1-5] from the viewpoint of the averaging approach, i.e., on the basis of the classical Kirchhoff hypothesis. In [6-10], a new approach proposed for elastic plates in [11] was used to derive dispersion relations for magnetoelastic plates. In [10], the 3D approach was used to obtain the ferromagnetic plate vibration frequencies; in the case of a transverse magnetic field, the equations of the perturbed motion of the plates were written out with the initial stresses taken into account [5, 12] but without considering the initial strains. In [13, 14], the problems on the vibrations of conducting plates in a magnetic field were studied.

In the present paper, we derive the dispersion equations, which are asymptotic equations for small magnetic fields and exact equations for the initial stresses and strains related by Hookes law. The corresponding numerical computations are also performed.
Received 25 July 2005
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