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Spectral Analysis of an Oscillating Thermoviscoelastic Plate in a Transverse Magnetic Field
Author(s) -
ElSayed M. A.
Publication year - 1989
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19890690111
Subject(s) - isotropy , boundary value problem , mathematical analysis , transverse plane , vibration , physics , magnetic field , classical mechanics , homogeneous , mathematics , optics , acoustics , quantum mechanics , thermodynamics , structural engineering , engineering
The paper deals with the problem of vibrations and stability of an isotropic homogeneous, thermoviscoelastic ferromagnetic plate of Voigt type, arbitrary shape, small constant thickness and infinite electric conductivity, placed in a transverse uniform magnetic field and clamped along its whole boundary. The spectral analysis of the corresponding self‐adjoint quadratic operator pencil is carried out. The problem is considered in the frame of classical theory of magnetothermoelasticity.