The Model of Thin Electromagnetoelastic Shells Dynamics
Interacting with electromagnetic field, thin linear elastic homogeneous anisotropic shell with a smooth median surface is exploring. The equations of its movement are used, taking into account the rotation of the normal fiber and compression. The components of the electromagnetic field together with the Maxwell equations and the generalized Ohm’s law are linearized along the transverse coordinate. In the surface pressure on the shell and the momentum per unit area, electromagnetic components are distinguished, they are found using the expression for the Lorentz force. Physical law for the shell, taking into account piezoelectric effects, closes the system of equations. A special case of equations for an isotropic shell is given.
KeywordsElectromagnetoelasticity Coupled problems Time-dependent axisymmetric problems Green’s functions
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