Abstract
Free flexural motion of a homogeneous plate in a large magnetostatic uniform field is re-examined. Linearized theory of thin plates made of an elastic electroconductive non-magnetizable isotropic material is applied. The intermediate approach (three-dimensional in the electromagnetic part and two-dimensional in the mechanical part), four two-dimensional models using various electromagnetic thickness assumptions as well as the perfect conduction case are reviewed. The resulting eigenvalue solutions of first-order approximation with respect to the bias magnetic field are compared analytically and numerically for both the in-plane and transverse bias magnetic field. Some estimations and improvements are included.
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