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A THEORETICAL PREDICTION OF INCREASE OF NATURAL FREQUENCY TO FERROMAGNETIC PLATES UNDER IN-PLANE MAGNETIC FIELDS

Authors
Journal
Journal of Sound and Vibration
0022-460X
Publisher
Elsevier
Publication Date
Volume
222
Issue
1
Identifiers
DOI: 10.1006/jsvi.1998.2046
Disciplines
  • Physics

Abstract

Abstract To predict the experimental phenomenon of the increase in natural frequency of a cantilever ferromagnetic beam–plate with low susceptibility under in-plant applied magnetic fields, a theoretical model for the magnetoelastic interaction is developed in this paper using the approach of the variational principle with energy functional of the system. It is found that the expression derived for the magnetic force exerted on the plate in this case is distinct from the existing models in the literature. Following this theoretical model, the experimental phenomenon of increase of natural frequency is successfully simulated in theory. After a revision related to the change of natural frequency is considered in the calculations of magnetic damping, the theoretical predictions of the magnetic damping ratio agree well with the corresponding experimental data.

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