Coupling effects of ferromagnetic beam-plates excited by transverse magnetic fields

A theoretical analysis is presented to the nonlinear coupling effect of dynamic system for a geometrically nonlinear ferromagnetic beam plate, which is simply supported by unmovable ends in exciting transverse magnetic field. The exciting transverse magnetic field varied periodically. All the researches are based on the theoretical model of magnetic body for magnetoelastic interaction of ferromagnetic plate in magnetic fields and the assumption of quasi-static state to magnetic fields. We deduce the equation for magnetic force of the magnetostriction model through combination of the electromagnetic field theory with the theory of elastic mechanics. A nonlinear dynamic equation of simple supported ferromagnetic beam plate is presented.